Quantum Restart 2026 from Hydrogen Atom 1926

This year has been designated as the International Year of Quantum Science and Technology (IYQ2025) by the United Nations as the 100th anniversary of the development of Quantum Mechanics. 

Quantum Mechanics was kick-started fin 1926 with formulation Schrödinger's Equation SE for the Hydrogen atom with one electron,  followed by a swift generalisation to many electrons by Born-Heisenberg-Dirac to form the text book Copenhagen Interpretation CI of Standard QM of today.

StdQM is generally viewed as a formidable success underlying all of modern technology of microscopics, but none of the foundational problems behind the CI have been resolved. StdQM is viewed to "always work perfectly well" but "nobody understands why". 

The previous post recalled the critical moment in 1926 when SE was generalised to many electrons by Born-Heisenberg-Dirac into StdQM under heavy protests from Schrödinger, who took the first step with a SE in a wave function $\Psi (x)$ depending on a 3d space coordinated $x$ with $\rho (x)=\Psi^2 (x)$ representing charge density in a classical sense. 

Recall that RealQM is a generalisation to many electrons different from StdQM by staying within a framework of classical continuum mechanics in the spirit of Schrödinger. The basic assumption is that an atom with $N$ electrons is represented by a nucleus surrounded by a collection of electrons as    

• non-overlapping unit charge densities $\rho_i(x)$ for $i=1,....,N$, 
• free of self-interaction,
• indivisible in space. 

Let us now compare RealQM and StdQM in the case of Hydrogen. For stationary ground states and excited states so called eigenstates, they share formally the same SE but with different interpretations of the wave function:

1. $\rho (x)$ is charge density in classical sense. (RealQM)
2. $\rho (x)$ is probability density in StdQM sense. (StdQM) 

Recall that QM was formed from a perceived difficulty of capturing the spectrum of Hydrogen within classical physics with the spectrum arising from interaction of the atom with an exterior forcing electromagnetic field in so called stimulated radiation. 

Schrödinger resolved this problem by extending SE to a time-dependent form where the frequencies of the spectrum appeared as differences of stationary energy levels, thus with a linear relation between atomic energy levels and resonance frequencies in stimulated radiation. The discrete frequencies appeared as 

• beat frequencies of wave functions in superposition. 

This became the mantra of StdQM which has ruled for 100 years, with superposition signifying the break with classical physics, where superposition in spatial sense is impossible.

If we stay within RealQM, then superposition is impossible because charge densities do not overlap. We now ask the key question:

• Is it possible to capture the spectrum of Hydrogen within RealQM thus without superposition? 

The discrete stationary eigenstates are the same, and so we ask about the time-dependent form of RealQM? Is it the same as that of StdQM? Not in general because RealQM is non-linear and StdQM linear. For Hydrogen RealQM is linear so in this case the same time-dependence as in StdQM is possible.

But this may not be most natural from a classical point of view without superposition in mind. Instead it is natural to think of the radiating electron oscillating back and forth between two energy levels with different charge densities as a classical oscillating dipole. We can thus extend RealQM to a classical dynamical system swinging back and forth between energy levels with different charge distributions. This would describe the radiating Hydrogen atom in terms of classical physics with a continuous transition between different configurations. This would answer Schrödinger's basic question without answer in STdQM about "electron jumps": The electron does not jump but changes charge density continuously in space and time. 

The only thing to explain in this scenario is the linear relation between (difference of) energy and frequency, not from beat frequency and superposition, but from the basic relation between energy and frequency appearing in Planck's Law discussed in this post. 

Summary: It seems possible to capture atomic radiation by RealQM within a classical continuum mechanics framework and so avoid taking the step out of classical physics along the dream of Schrödinger. In particular, superposition is not required and probably not present. Quantum computers built on superposition will not work. Superposition may be superstition rather than reality.  

Planck's Faustian Deal: The Quantum

Here is a short excerpt from my book Dr Faustus of Modern Physics giving perspective on the birth in 1900 of Quantum Mechanics with Planck's mathematical analysis of blackbody radiation introducing $E=h\nu$ as a smallest quantum of energy. 

To boost his career and the science of the booming German Empire, Max Planck, professor at the University of Berlin with a background from thermodynamics, took on the main open problem of physics at the end of the 19th century, namely to explain why the ultra-violet catastrophe of blackbody radiation predicted by classical theoretical physics cannot be observed. At stake was the credibility of a science of physics (and the German Empire) predicting very intense high-frequency radiation which simply refused to exist. The stakes were thus very high and Planck with ambition stepped in:

• The whole procedure was an act of despair because a theoretical interpretation had to be found at any price, no matter how high that might be... 

The price was to give up his soul as very serious scientist with deep conviction to classical ideals, which paved the way for new quantum physics giving up classical principles of reality, causality and determinism, now in deep crisis.  

1. Nobel Prize to Planck

 The Nobel Prize in Physics 1918 was awarded (in 1919) to Max Planck:

• in recognition of the services he rendered to the advancement of Physics by his discovery of energy quanta.

It took the Nobel Committee more than 10 years to come to this conclusion, because Planck’s new concept of a smallest quantum of energy was so difficult to swallow, described by the Swedish mathematician Ivar Fredholm as “hardly plausible”. In 1918 the Committee gave in under pressure to give the prize to Bohr and Einstein, which required a prize to Planck first. The presentation speech by Ekstrand stated:

• Planck’s radiation theory is, in truth, the most significant lodestar for modern physical research, and it seems that it will be a long time before the treasures will be exhausted which have been unearthed as a result of Planck’s genius.
• Planck constant, proved, as it turned out, to be of still greater significance: The product $h\nu$, where $\nu$ is the frequency of vibration of a radiation, is actually the smallest amount of heat which can be radiated at the vibration frequency $\nu$. This theoretical conclusion stands in very sharp opposition to our earlier concept of the radiation phenomenon.

Planck was thus viewed as having “discovered” a physical phenomenon of “energy quanta”, which in fact was a “theoretical conclusion”. This contradiction has come to form the ideology of modern physics made possible by breaching the classical holy distinction between reality and mathematical model.

2. Planck's Confession

From Planck's self-biography:

• We shall now derive strange properties of heat radiation described by electromagnetic wave theory.
• ..the whole procedure was an act of despair because a theoretical interpretation had to be found at any price, no matter how high that might be... 
• Either the quantum of action was a fictional quantity, then the whole deduction of the radiation law was essentially an illusion representing only an empty play on formulas of no significance, or the derivation of the radiation law was based on sound physical conception. Mechanically, the task seems impossible, and we will just have to get used to it (quanta). 
• My futile attempts to fit the elementary quantum of action into classical theory continued for a number of years and cost me a great deal of effort. Many of my colleagues saw in this something bordering on a tragedy (Planck shortly before his death).
• I tried immediately to weld the elementary quantum of action somehow in the framework of classical theory. But in the face of all such attempts this constant showed itself to be obdurate...
• My futile attempts to put the elementary quantum of action into the classical theory continued for a number of years and they cost me a great deal of effort.
• The assumption of an absolute determinism is the essential foundation of every scientific inquiry.
• All matter originates and exist only by virtue of a force which brings the particle of an atom to vibration and hold this most minute solar system of the atom together. We must assume behind the existence of this force the existence of a conscious and intelligent mind. This mind is the matrix of all matter...
• In order to find the correct resonator entropy S it must be assume that the energy U of a resonator with frequency ν can only take on discrete energy values, to wit, integer multiples of h times ν, in contrast to classical theory where U can be any multiple, integer or not, of ν. We now say that U is quantised.
• My maxim i always this: consider every step carefully in advance, but then, if you believe you can take the responsibility for it, let nothing stop you.
• For by nature I am peaceful and disinclined to questionable adventures...for unfortunately I have not been given the capacity to react quickly to intellectual stimulation.

3. Planck on Politics

Planck lost his son Karl in combat during 1st World War and his son Erwin was executed after a plot against Hitler at the end of the 2nd World War. Planck signed together with 93 German intellectuals the Appeal to the Cultured Peoples of the World on 4 October 1914:

• We declare the leaders of German art and science to be at one with the German army.

Planck reports as Rector of Berlin University in 1914:

• The German people ha found itself again. One thing only we know, that we members of our university...will stand together as one man and hold fast until - despite the slander of our enemies - the entire world comes to recognise the truth and German honor.
• But we shall also see an feel how, in the fearful seriousness of the situation, everything that a country could call its own in physical and moral power came together with the speed of lightning and ignited a flame of holy wrath blazing to the heavens, while so much that had been considered important and desirable fell to the side, unnoticed, as worthless frippery.

Radiative Equilibrium Without Quanta: Normality

Consider a Hydrogen atom described by Schrödinger's Equation SE in radiative equilibrium with light of a certain frequency $\nu$ described by Maxwell's equations as an  electromagnetic wave. This means that there is a gap $\Delta E$ in the distribution of eigenvalues $E$ or spectrum such that $\Delta E =h\nu$ with $h$ a scaling factor, in classical literature named Plank's constant. 

The SE for Hydrogen is a partial differential equation of classical continuum form in terms of a wave function which changes continuously in space and time during the process of establishing and maintaining radiation at the resonance frequency $\nu$. The energy gap $\Delta E$ scales with the frequency $\nu$ over  the spectrum. 

What is discrete is the spectrum, just as in classical continuum mechanics, while wave functions are continuous and do not take any discrete "jumps" in state/energy.  

Conclusion: The Schrödinger's Equation SE for a Hydrogen atom takes the form of classical continuum mechanics. QM for a Hydrogen atom is classical continuum physics. No need for quantisation. The fact that the spectrum is discrete is not evidence that any non-classical process of quantisation is really needed. See also this post.

chatGPT: Maxwell + Schrödinger looks good:

• Treat the atom quantum mechanically (Schrödinger equation).

• Treat the radiation as a classical wave (Maxwell).

• That explains a lot: absorption spectra, stimulated emission, radiative equilibrium, Rabi oscillations.

• Everything looks continuous.

This model works surprisingly well in many normal conditions.

end chatGPT

But a modern theoretical physicist is not happy with normality of classical continuum physics as description of the basic problem of atom physics of a radiating atom, because it is not modern new physics. And so the modern physicist goes on to confront the radiating atom as classical continuum physics with some extreme circumstances such as very very weak forcing so weak that the continuity breaks down. Like running your car engine with only a very weak slow irregular ignition making the engine start to malfunction. This is called appeal to extremes often used in debate.

By focussing on some extreme case, the classical model covering the normal case can be downplayed as "wrong" even if it works fine, to prepare the way for some new bold modern theory, which is more "fundamentally correct". In this way all the victories of the classic theory for all normal cases can be cashed in for the new theory to which can then be added anything extreme even if vague. 

This is what is done when General Relativity replaces Newton's theory of gravitation as being more "fundamentally correct". Or when QFT replaces QM which replaces Schrödinger+Maxwell. More and more extreme to downplay the normal.

So can unsuccessful explanation of something normal within classical continuum mechanics, be covered up by focussing the interest onto something more fundamental and extreme, and the possibility of a classical explanation can be missed, as that of RealQM.   

Quantum Mechanics Without Quantum

Recent posts have identified the roots of  textbook Standard Quantum Mechanics StdQM, as the essence of modern atomic physics, in the works by Planck in 1900 on blackbody radiation and by Einstein in 1905 on photoelectricity. 

Let us retrace how StdQM as based on Schrödinger's Equation SE from 1925 for the Hydrogen atom, connects back to the early work by Planck-Einstein who did not know of atoms.  

We recall that in an act of desperation Planck introduced the concept of smallest quantum (chunk) of energy $E=h\nu$ of a wave with frequency $\nu$ and $h$ a constant later named Planck's constant, in order to explain why the ultra-violet catastrophe of blackbody radiation does not take place, as the prime challenge to theoretical physics in 1900. Planck as leading physicist of the German Empire simply had to come up with an explanation. In a Faustian deal Planck gave up his soul deeply rooted in classical physics for statistics of quanta and saved the day to the German Empire, which he deeply regretted but could not reverse.

Einstein followed in 1905 by connecting the smallest quantum of energy $h\nu$ to an idea of light as consisting of particles later named photons carrying exactly the energy $h\nu$. Einstein used this idea to come up with an explanation of photoelectricity in his position as patent clerk in Bern, in desperate need of scientific publications to open the door to a university position.

So was a smallest chunk or quantum of energy $h\nu$ and a light particle/photon supposed to carry that quantum of energy, introduced into physics in desperate attempts to gain attention, but the scientific community remained skeptical. 

The SE of a Hydrogen atom of 1925 took the form of classical continuum wave mechanical model in terms of an electron charge density $\psi (x)$ depending on a 3d spatial coordinate $x$ in Coulomb interaction with a kernel, while carrying a certain energy measured by $\vert\nabla\phi (x)\vert^2$ named kinetic energy. The observed spectrum of Hydrogen as a certain set of discrete frequencies $\nu$ showed to fit very precisely with differences of eigenvalues of SE representing differences of energy levels of the electron representing beat frequencies of an electron oscillating between levels. This connected energy to frequency in the same way as Planck's energy quantum $E=h\nu$ and Einstein's photon of energy $h\nu$.

So was a connection created between (i) a concept of smallest quantum of energy $h\nu$ and (ii) the discrete spectrum of a classical continuous wave equation without presence of any smallest quantum of energy. 

So was stdQM born to form the essence of modern physics as radically new form of physics based on a radically new idea of a smallest quantum of energy, which was based on a mathematical model of classical form as SE where the smallest quantum of energy had no role to play.  

The result is a mismatch between classical continuum physics in the form of SE without quantum, and a proclaimed new form of physics with quantum. No wonder that StdQM is surrounded by confusion expressed as "nobody understands QM". 

RealQM is an alternative to StdQM in the form of classical continuum physics without quantum. Computational Blackbody Radiation explains blackbody radiation and photoelectricity without quantum.The mismatch is gone. 

  

 

Why "Nobody Understands Quantum Mechanics"

This is a continuation of recent posts on the present crisis of modern physics. 

The essence of classical physics as a science is that it can be understood as a theory about the real world that makes sense to a human mind asking for logic and rationality. 

In 1900 a shift was initiated by Planck in his study of blackbody radiation followed by Einstein in his 1905 study of the photoelectric effect, which 20 years later was used to motivate a new form of physics named Quantum Mechanics QM, which became the trade mark of modern physics into present time. 

The trouble with QM is that all leading physicists say and have said for 100 years that "nobody understands QM". The result is a crisis of a modern physics based on QM.

But science is about understanding and so the fact that QM is not understandable, asks for an explanation. 

One way of forming a theory qualifying for not being understandable is to take some triviality and in the spirit of Einstein "elevate it to a Postulate" as a very deep truth about the world. The apparent clash between triviality and deep truth will cause confusion coming out as "nobody understands". This is like viewing 1+1=2 to be a deep truth of mathematics (instead of trivial definition), which if believed would express "nobody understands mathematics"? 

Let us see if this is in fact what happened with a QM growing out from Einstein's "heuristic explanation of the photoelectric effect" in 1905. Einstein started with the following observations made long before 1905:

• Light of frequency $\nu$ impinging on a metallic surface generates a current of electrons only if $\nu$ is bigger than a threshold value characteristic of the metal.
• The energy of electrons scales linearly with the frequency above the threshold, with energy identified with a stopping potential.    

It was believed that this could not be explained within the classical understandable wave theory of light by Maxwell, simply because that theory was not viewed to include the interaction between light and matter manifested in the photoelectric effect. 

Something more appeared to be needed and that was what Einstein offered in his "heuristic explanation" of the form "one incoming photon ejects one electron" or "one photon = one electron" or "one person = one vote":

• Energy balance gives "photon energy  = electron energy + electron release energy". 
• Define "photon energy" =$h\nu$ with $h$ a constant. 
• Conclude "$h\nu$ = electron energy + electron release energy" as the Law of Photoelectricity.  

Einstein here introduced the idea of a photon as "quanta of light" with an energy $h\nu$ picked from Planck. The essence was the scaling of energy with frequency $\nu$ and not amplitude of light, which connected to the nature of the threshold as a demand on frequency and not amplitude.

Einstein thus gave a "heuristic explanation" of the already observed Law of Photoelectricity, which gave him the 1921 Nobel Prize in Physics "for his discovery of the Law of Photoelectricity" as a misconception from "not understanding".

What Einstein did was to associate the energy $h\nu$ to something named "photon", which could be anything and still is not identified as to physical reality, but with the definite ability to kick out an electron from a metallic surface with the same energy $h\nu$ minus a release energy. For sure this was a "heuristic explanation" where the physics of "kicking out an electron" was hidden. It was thus a triviality made into a deep truth, and as such causing confusion ultimately leading to "nobody understands QM".

Is it then impossible to explain the Law of Photoelectricity in classical terms? If we look at the ingredients of incoming light and outgoing electrical current and stopping potential everything looks classical. Even the threshold on frequency can be accepted as classical as a form wave length precision required to release an electron tied to an atom. The energy of a classical wave of frequency $\nu$ scales with $\nu^2$ thus setting incoming light energy per unit length and time. The observed scaling with $\nu$ can then be obtained by partitioning incoming energy into wave length pieces each with energy scaling with $\nu$ into a totality of $\nu$ incoming pieces per unit of time. 

It is thus possible to give a "heuristic explanation" of the Law of Photoelectricity within classical wave physics, because it only involves classical concepts, which is as good as Einstein's resorting to discrete chunks of energy $h\nu$. 

Einstein did not get the Nobel Prize for explaining the Law of Photoelectricity, because his explanation convinced nobody, only for discovering a law that was already discovered. 

Computational Blackbody Radiation gives an explanation of blackbody radiation and photoelectricity in terms of classical wave mechanics without mystery, which can be understood by a high-school student. 

Altogether a basic reason that "nobody understands QM" is that it starts from a triviality of "quantisation" presented as a deep truth about reality as being discrete chopped up in little "quanta".  See also RealQM as "quantum mechanics without quanta" as understandable physics.

The World is Continuous Not Discrete

Calculus was invented to solve a problem of "quadrature" of computation of the total distance $D$ covered when walking with varying step size in space $dx=v(t)\times dt$ with $v(t)$ representing velocity at time $t$ and $dt$ the time required for each step, starting from $t =0$ and ending at $t=T$. The total distance appears as the sum over all steps which takes the form of an integral : 

• $D(T)=\int_0^T v(t)dt$

The "trick" was to find a primitive function $x(t)$ satisfying $\dot x(t) =v(t)$ with $\dot x=\frac{dx}{dt}$ the derivative or $dx=v(t)dt$ to find 

• $D(T)=\int dx = \sum dx = x(T)-x(0)$

allowing $D$ to be computed from knowing a primitive function thus avoiding laborious summation.  For example, if $v(t)=2t$ as increasing velocity with time, then $D(T)=T^2$.

Calculus allowed tedious summation to be replaced be smart analytical mathematics: A tremendous success initiating the scientific revolution in the late 17th century also named the dot-age referring to $\dot x =\frac{dx}{dt}$.

Calculus showed to be more than "quadrature" by allowing a description the world in terms of differential equations depending on continuous space and time variables varying over a continuum of real numbers formalised in the late 19th century. So was continuum physics including electromagnetics formed allowing a description of the world we could fathom with our senses. 

The foundation was a model of space and time as a continuum of real numbers without a smallest scale. It was a world described by fields $\psi (x,t)$ depending on continuous space-time variables $(x,t)$ without smallest scale. 

Such field-models could be discretised  by introducing a smallest scale to allow finitary computation with finite number of digits connecting to "quadrature" performed simply as massive summation. The smallest scale could be refined to resolve increasingly fine details. 

Today this technique in the form of Computational Continuum Physics has been perfected into simulation of increasingly complex phenomena of the macroscopic world. Continuum models allow compact formulation and discretisation makes them computable. This is a world of classical physics made alive by computation. Classical physics as continuum physics.

But it is not the world of modern physics where Quantum Mechanics QM has replaced the continuum of no smallest scale, with a world of quanta of smallest scale $h\nu$ with $h$ Planck's constant and $\nu$ a frequency supposed to be the nature of the microscopics of atoms and molecules. 

This presents a world split into continuous macroscopics and discrete microscopics which comes with many difficulties now manifested in a crisis of modern physics. 

Let us follow the emergence of the split according to this time line:

1. In 1900 Planck introduced quanta of energy $h\nu$ to theoretically explain blackbody radiation. It gave him fame.
2. In 1905 Einstein introduced quanta of light energy $h\nu$ in a heuristic explanation of the photoelectric effect. It gave him the Nobel Prize in Physics in 1921. 
3. In 1915 Bohr introduced quantised discrete energy levels of a Hydrogen atom.
4. In 1925 Schrödinger formulated a model of a Hydrogen atom in the form of classical continuum mechanics.
5. In 1925 Heisenberg introduced a discrete matrix model. 
6. In 1926 Schrödinger's model was extended to atoms with more than one electron as  anew form of multi-d model beyond classical continuum mechanics, which was forcefully sold by Bohr-Heisenberg as Standard Quantum Mechanics StdQM according to the Copenhagen Interpretation. 
7. In 1928 Schrödinger left QM because it did not have the form of classical continuum mechanics.
8. Today the non-classical multi-d model as StdQM dominates completely. 
9. RealQM is a new model in the form of classical continuum mechanics. 

Today physicists speak about "quantisation" as the magic element separating modern physics from classical physics, which has brought so many wonders to the modern world. The idea goes back to the atomists of the Democritus school as smallest building elements of the world today carried in all sorts of particle physics. It appeared in Newton's corpuscular view of light, replaced by Maxwell's wave mechanics in the 19th century to return with Einstein's photons in 1905.  

Is then the split between continuous macro-physics and discrete micro-physics really necessary? Is it impossible to explain blackbody radiation and the photoelectric effect within classical continuum physics? 

No, it is in fact possible as shown in Computational Blackbody Radiation. This was also the message of Willis Lamb Nobel Laureate in Physics in 1955:  

• It should be apparent from the title of this article that the author does not like the use of the word "photon", which dates from 1926. In his view, there is no such thing as a photon. Only a comedy of errors and historical accidents led to its popularity among physicists and optical scientists.

The split has led to many difficulties. If the split can be avoided keeping both macro and micro within a continuum model, it may help out of the present crisis. Why not give continuum physics a new try to cover also microphysics without "quantisation".

The enigma of modern physics is presented as: How to quantise gravitation into a unified quantised theory? No answer in sight. Wrong question. 

A better idea is to de-quantise atom physics into a unified continuum model with gravitation. 

The late Einstein: These days, every Tom, Dick and Harry, thinks he knows what a photon is, but he is wrong. But nobody listened. 

I am pretty sure that Schrödinger would have welcomed RealQM since it follows his basic idea, which was overpowered by Bohr.

Mathematics: Calculus replaced discrete quadrature by understandable analysis, which returned in the form of digital computation giving power to understandable analysis.  

Physics: Calculus allowed classical physics to describe the world as a continuum open to understanding. Modern physics returned to Democritus atomism as a discrete world beyond understanding.   

Temperature as Absolute Control of Radiative Heat Transfer

This is a follow up of this post recalling the Faustian deal made by Max Planck in 1900 when presenting his law of black body radiation as an icon of modern physics named Planck's Law.  

Continuing the discussion with chatGPT we come to an agreement that temperature difference, positive or negative, is Natures control mechanism to keep a system stable over time under radiative heat transfer with an environment, like your house and the Earth's climate system. The temperature is measured on an absolute Kelvin scale available to all bodies allowing detection of positive or negative temperature difference to steer the exchange of heat energy. Equal temperature then gives zero exchange as radiative equilibrium. 

Unfortunately there is a different view sold by climate scientists as reason for climate alarm, which suggests the opposite control mechanism, namely that the temperature of the Earth is controled by differences in incoming and outgoing radiation with in particular small differences in incoming/outgoing radiation generating big differences in temperature possibly in a run-away greenhouse effect. Very alarming.

But physical bodies do not carry an absolute scale allowing comparison of incoming and outgoing radiation, like the absolute scale for temperature, more precisely they carry no counter for incoming and outgoing photons as proclaimed carriers of heat energy. 

In particular, there is no absolute Planck-Stefan-Boltzmann Law $R=\sigma T^4$ stating outgoing radiation from a body of temperature $T$ independent of environment as version 1. in the earlier post. Not physics!

Nevertheless such a law is used in models (Schwarzschild) of radiative heat transfer in the atmosphere playing with gross quantities of incoming/outgoing radiative heat transfer prone to instability. The accuracy of these models is no better than say $2-3$ Watts per m2, while alarming global heating is connected to variations of incoming/outgoing radiation of the same size. The result is alarm as a result of unphysical unstable control. This is like a hen from a feather.

If temperature is allowed to carry out its physical control to stabilise climate, here is no reason for alarm. Puh!

This analysis shows that temperature is measured via Wien's Displacement Law expressed as a high-frequency-cut-off scaling with temperature giving a body of higher temperature access to higher-frequencies aloowing transfer of heat to a body of lower temperature. The cut-off can be connected to the precision available in the underlying atomic wave physics of different frequencies.

Can You Feel that Somebody is Looking at You?

This is a continuation of the previous post connecting to the possibility that our minds are field-like and extend beyond our brains and can have effects beyond our brains put forward by Rupert Sheldrake, a very heretical thought from the point of view of conventional science. 

Sheldrake recalls that children up to age 10-11 years spontaneously believe in visual extramission included in two-way transfer between object and eye. That's why Roald's Dahls Mathilda has eye beams that come out her that can move things (cf Superman and X-men). Children love that because that's the way they think vision works. 

But in school children learn that this is not possible because there is a one-way stream of photons from the object entering into the eye and creating an image in the brain without feed-back to the object. And so this is what educated people in the West believe, and what Sheldrake questions and so get critiqued. 

Two-way transfer object-eye directly connects to a new view of heat transfer between objects by radiation presented as Computational Blackbody Radiation CBB.

To see this let us replace object-eye connected by light as electromagnetic wave, with two bodies B1 and B2 of temperature T1 and T2 radiatively connected by electromagnetic waves. CBB describes how heat energy is transferred from B1 to B2 if T1 > T2 by a phenomenon of resonance between B1 and B2 carried by standing electromagnetic waves as a two-way connection between B1 and B2 like a vibrating rope between the bodies. 

The fact that heat transfer is one-way from B1 to B2 comes from the presence of high-frequency cut-off increasing with temperature, which makes frequencies carried by B1 above the cut-off frequency of B2 cause heating of B2, while shared frequencies does not involve heat transfer. Here B1 serves as the object and B2 as the eye. 

There is then main transfer of heat energy from object to eye, as in the conventional view as a stream of photons as light particles, but object and eye are connected by standing electromagnetic waves. With a two-way connection it is not unthinkable that the object can somehow feel (very weakly) the presence of the observing eye, while this is impossible with one-way stream of light particles.  

Two-way connection by standing electromagnetic waves is captured in Maxwell's equations, while the physics of a stream of light particles is missing. 

The conventional view is that knowledge is transferred one-way from scientists to unschooled, but a true scientist can learn from anything. 

Two-way connection by standing electromagnetic waves relates to a holistic view of things as being interconnected, as opposed to a classical reductionistic view separating things. Today we are all connected through a two-way web.  

Morphogenesis by Resonance

                                                       Patterns formed by resonance?

The book Morphic Resonance by Rupert Sheldrake addresses the fundamental problem of how organised structures are formed in physics, chemistry, biology from elementary building blocks seemingly without information about the overall structure. How does a flower, bird or human being develop from a genetic code, which contains recipes for protein building blocks but no information about the whole structure? Sheldrake seeks an answer in the form of morphogenetic fields carrying this information as collective resonance phenomena. 

We are familiar with resonance in physics as the wave harmonics of a vibrating string. We understand that wave patterns develop from instabilities with tendency to increase crests and troughs of certain wave lengths. Watch dropping a stone in a pond.

Thus we expect to see form develop from resonance serving as morphogenesis and find this in particular in the case of fluid flow with turbulent vortices developing from convective instabilities as shown in Computational Turbulent Incompressible Flow. 

The non-radiating stable ground state of an atom is represented by the lowest harmonic of a Schrödinger wave equation, while higher harmonics are triggered for a radiating atom. Real Quantum Mechanics gives a new explanation of the lack of radiation from the ground state, as the mystery Bohr struggled with. 

Computational Black Body Radiation presents a new analysis of the transfer of energy from a source of light to a receiver as an atomic resonance phenomenon carried by standing electromagnetic waves without need to introduce photons as particles of light. A similar transfer is seen between two tuning forks carried by standing acoustic waves. 

Sheldrake's concept of morphic resonance thus comes to expression in physics and may serve also in chemistry and biology in more general forms. Maybe memory is carried by resonance... Maybe the fertilised egg carries the blueprint as a resonance bringing the genetic code to life.

Musical harmony is based on tonal resonance, while musical rhythm represent patterns over time. Singing in a choir unites single souls into one. 

Resonance can have the material form of vibrating strings, or immaterial as a common gravitational potential (recall Neo-Newtonian Cosmology) or more generally beliefs forming a society. An immense subject…

Resonance appears as an expression of instability of a system in the sense that a small periodic forcing causes large oscillations in the system. This happens if the periodicity of the forcing agrees with an eigenvalue of the system and the corresponding eigenfunction represents the shape of the system response.  This allows patterns to develop from small forcing in creation of form as morphogenesis "by itself".

Newton Back! Einstein Out?

Modern physics has developed from classical physics in three steps each viewed as revolutionary:

1. Maxwell's equations 1867 describing all of electro-magnetics including light-as-wave.
2. Einstein's Special Theory of Relativity SR 1905 replacing Newton's mechanics without gravitation by relativistic mechanics.
3. Einstein's General Theory of Relativity GR 1916 replacing Newton's mechanics with gravitation by curved space-time geometry. 
4. Schrödinger's equation for atom physics.  

The present view is that a unified theory including all of mechanics + electro-magnetics + atom physics, is impossible because of severe incompatibilities between 1- 4, primarily because of SR and GR.  There is really no incompatibility between Newton, Maxwell and Schrödinger, if you do not seek incompatibility to boost your own favourite substitute.

Let us search the main reason why Newton was dismissed by Einstein and then all his followers. Newton's theory of gravitation as the main jewel of the infinitesimal Calculus created by Newton and Leibniz, describes the motion of all celestial bodies from the inverse-square law. But Newton's theory seemed to require instant-action-at-distance, which was exhibited by Newton's critics as a mystery/physical impossibility, even acknowledged by Newton himself, from a prevailing understanding that forces only can act by instant direct contact, with the history described in Newtonian Studies by Koyre. 

In GR the inverse-square-law is replaced by curved space-time geometry without instant-action-at-distance (from an ad hoc assumption that the speed of gravity is equal to the speed of light9,  thus circumventing the mystery, but at the price of an even more mysterious concept of curved space-time.

But there is a way to get around instant-action-at-distance even in Newton's theory, which is explored in posts on New View on Gravitation. The basic idea is that gravitational potential is primordial with mass secondary as the result of local instant differentiation. 

We may thus see a return of Newton, and let us then recall that Newton's world can be constructed starting with free fall of a small test particle of unit mass with velocity $v$ in a given gravitational field $\phi (x)$ depending on a Euclidean spatial coordinate $x$ described by:

•   $\dot v=-\nabla\phi$,                     (N0)

where $\dot v$ as the time derivative of $v$ is the acceleration of the test particle under the gravitational force $-\nabla \phi$. Accordingly the time of Newtonian success was named "the dot-age". 

(N0) is then generalised to small material bodies of mass $m$ as collections of $m$ particles of unit mass expressing that all small bodies fall freely the same way in a given gravitational field according to

• $m\dot v =-m\nabla\phi$.               (N1) 

We here assume the material body to be small so that $\nabla\phi$ is the same for all parts of the body. 

The next step is to transfer gravitational force $\nabla\phi$ to mechanical force $f=-\nabla\phi$ e g  hanging a unit mass in a unit linear spring and measuring its elongation under gravitation. This makes it possible to generalise (N1) to Newton's 2nd Law for a body of mass $m$ 

• $m\dot v= mf=F$                           (N2)                        

where $F$ can be gravitational or mechanical force. 

The final step is to express Newton's law of gravitation in the form given by the mathematician Laplace as the differential equation

• $\Delta\phi (x) =\rho (x)$ for all $x$,          (NG1)

where $\rho (x)$ is mass density and $\Delta$ is the Laplace differential operator, which thus connects to gravitational potential to mass density. 

The common view is that presence of a unit point mass at $\bar x$ generates a contribution $-\frac{4\Pi}{\vert x-\bar x\vert}$ to $\phi (x)$ as an apparent instant-action-at-distance. But it is possible to turn the connection around and view instead $\rho (x)$ as being generated as

• $\rho (x)=\Delta\phi (x)$       (NG2)

where the process of differentiation is local and as such can an be instant in the same way as a contact force.

It is thus not necessary to dismiss Newton's theory of gravitation as requiring mysterious instant-action-at-distance, and thus combine with Maxwell's and Schrödinger's equations into a unified model of the world as outlined in Many-Minds Relativity, Real Quantum Mechanics, Computational Thermodynamics, Computational Turbulent Incompressible Flow and Computational Black-Body Radiation.

This means that Newton, as the greatest physicist all times, is welcome come back again to constructively contribute to a unified model of the world without fundamental incompatibilities and so leave SR and GR without mission and open a way out of the current crisis of modern physics. This has been a main theme of this blog with more details to come.

In particular, with the gravitational potential as primordial with everywhere presence there is no vacuum or complete emptiness of mysterious nature.  Moreover, it opens to connect regions in space where the gravitational potential is smooth with derivatives of only moderate size, to dark matter. Further, (NG2) opens to negative mass being created subject to repulsion from positive mass as a possible source of dark energy,

After all, the world must be rational to exist at all and so must be possible to describe in rational mathematical terms like (N2) + (NG) without incompatibilities. It is impossible that the world is incompatible with itself. Only models of the world can be incompatible if incorrect is some way.

From Statistical Mechanics to Quantum Statistics

Boltzmann was not easy to argue with.

The development of modern physics follows a path from statistical mechanics (Boltzmann 1866) over statistics of energy quanta of blackbody radiation (Planck 1900) to quantum mechanics statistics (Born 1926). In each case there was a pressing demand from empire power politics on theoretical physicists to assist in advancement of new technologies, from steam engines to atomic energy:

1. Boltzmann took on the challenge to give the 2nd Law of Thermodynamics a rational mathematical physical meaning as the outstanding problem of the mid 19th century.  
2. Planck took on the challenge to give blackbody radiation a rational mathematical physical analysis, as the outstanding problem of classical physics at the end of the 19th century. 
3. Born took on the challenge to give the wave function of the new quantum physics a scientific meaning.       

Boltzmann failed and so invented statistical mechanics based on an idea of macro-states supported by micro-states with probability increasing with number of micro-states. 

Planck failed and inspired by Boltzmann invented a way of computing energy quanta with probability decreasing with increasing frequency. 

Born inspired by Planck resorted to statistics by giving the wave function a meaning as probability of electron configuration. 

 

The use of statistics is fundamentally different in all three cases, but Boltzmann started it all.

This means that modern physics largely is statistical physics. Is this a problem? It means giving up the essence of classical physics as rational deterministic physics based on cause-effect. In statistical physics things happen by chance and rationality is lost. It may be a high price to pay, in particular if it is not really necessary.  

Real Quantum Mechanics offers an new approach to quantum mechanics without statistics.

How to Measure Temperature

Measuring temperature accurately is a delicate procedure.

This is a comment to the discussion in recent posts of the proclaimed perfect blackbody spectrum of Cosmic Microwave Background CMB radiation with temperature 2.725 K.  

You can measure your body temperature by body contact with a quicksilver thermometer or at distance by an infrared thermometer. Both work on a principle of thermal equilibrium between source and thermometer sensor as a stable state over time. Your body is assigned the temperature recorded by the thermometer. 

Temperature can be seen as a measure of energy in the form of heat energy or vibrational energy of a vibrating system like an atomic lattice as the generator of radiation as radiative heat transfer.

Computational Blackbody Radiation offers a new analysis of radiative heat transfer using classical wave mechanics as a deterministic form of Planck's analysis based on statistics of quanta. The basic element of the analysis is a radiation spectrum from a vibrating atomic lattice: 

• $E(\nu ,T)=\gamma T\nu^2$ for $\nu \le \frac{T}{h}$        (1a)
• $E(\nu ,T)= 0$ for $\nu >\frac{T}{h}$                               (1b)

where $\nu$ is frequency on an absolute time scale, $T$ is temperature on a lattice specific energy scale, $\gamma$ and $h$ are lattice specific parameters and $\frac{T}{h}$ is a corresponding high-frequency cut-off frequency setting a upper limit to frequencies being radiated. Here a common temperature $T$ for all frequencies expresses thermal equilibrium between frequencies. 

It is natural to define a blackbody BB to have radiation spectrum of the form (1) with maximal $\gamma$ and high-frequency cut-off and to use this as a universal thermometer measuring the temperature of different bodies by thermal equilibrium. 

Consider then a vibrating atomic lattice A with spectrum according (1)-(2) with different parameters $\bar\gamma <\gamma$ and $\bar h >h$ and different temperature scale $\bar T$ to be in equilibrium with the universal thermometer. The radiation law (1) then implies assuming that A is perfectly reflecting for frequencies above its own cut-off:

• $\bar\gamma \bar T = \gamma T$                                         (2)

to serve as the connection between the temperature scales of BB and A. This gives (1) a form of universality with a universal $\gamma$ reflecting the use of a BB as a universal thermometer.

In reality the abrupt cut-off after at radiation maximum is replaced by a gradual decrease to zero over some frequency range as a case-specific post-max part of the spectrum.  A further case-specific element is non-perfect reflectivity above cut-off. Thermal equilibrium according to (2) is thus an ideal case.  

In particular, different bodies at the same distance to the Sun can take on different temperatures in thermal equilibrium with the Sun. Here the high-frequency part of the spectrum comes in as well as the route from non-equilibrium to equilibrium. 

Why CMB can have a perfect blackbody spectrum is hidden in the intricacies of the sensing. It may well reflect man-made universality. 

Man-Made Universality of Blackbody Radiation 2

Man-made Universality of Shape

This is a clarification of the previous post on the perfect Planck blackbody spectrum of the Cosmic Microwave Background Radiation CMB as a 14 Billion years afterglow of Big Bang as the leading narrative of cosmology physics today. See also this recent post and this older illuminating post.

The Planck spectrum as the spectrum of an ideal blackbody, takes the form 

• $E(\nu ,T) =\gamma T\nu^2\times C(\nu ,T)$                                         (1)

where $E (\nu ,T)$ is radiation intensity depending on frequency $\nu $ and temperature $T$, $\gamma$ a universal constant, and $C(\nu ,T)$ is a universal high frequency cut-off function of the specific form 

• $C(\nu ,T)=\frac{x}{\exp(x)-1}$ with $x = \frac{\nu}{T}\times\alpha$       (2)

where $\alpha =\frac{h}{k}$ with $h$ Planck's constant and $k$ Boltzmann's constant as another universal constant, with the property that 

• $C(\nu ,T)\approx 1$ for $x<<1$ and $C(\nu ,T)\approx 0$ for $x>>1$.  

We see that radiation intensity proportional to $T$ increases quadratically with $\nu$ in accordance with deterministic wave mechanics, and reaches a maximum shortly before a cut-off scaling with $T$ in accordance with statistics of energy quanta, which kicked off an idea of atom physics as quantum mechanics also based on statistics.    

Computational Blackbody Radiation offers a different version of high frequency cut-off motivated by finite precision physics/computation instead of statistics of quanta opening to a deterministic form of atom physics as real quantum mechanics. The underlying physics model in both cases is that of an atomic lattice capable of generating a continuous spectrum of vibrational frequencies.

The basic assumptions behind a Planck spectrum as an ideal are:

1. Model: Atomic lattice.
2. Equilibrium: All frequencies take on the same temperature.
3. High-frequency universal cut-off: Statistics of energy quanta.  

Observation show that most real blackbody spectra substantially deviate from the Planck spectrum and so have their own signature reflecting specific atomic lattice, non-equilibrium and specific high frequency cut-off lower than the ideal. Graphite is just about the only substance showing a Planck spectrum. 

This was not welcome by physicists in search of universality, and so the idea was born of deciding the spectrum of a given material/body by putting it inside an empty box with graphite walls and measuring the resulting radiation peeping out from a little hole in the box, which not surprisingly showed to be a graphite Planck blackbody spectrum. 

Universality of radiation was then established in the same way as universality of shape can be attained by cutting everything into cubical shape as was done by the brave men cutting paving stone out of the granite rocks of the West Coast of Sweden, which is nothing but man-made universality.  

The line spectrum of a gas is even further away from a blackbody spectrum. The idea of CMB as an afterglow of a young Universe gas cloud with a perfect Planck blackbody as measured by the FIRAS instrument on the COBE satellite, serves as a corner stone of current Big Bang + Inflation cosmology. 

It is not far-fetched to suspect that also the COBE spectrum is man-made, and then also Big Bang + Inflation.

The Secret of Radiative Heat Transfer vs CMB and Big Bang

A main challenge to physicists at the turn to modernity 1900 was to explain radiative heat transfer as the process of emission, transfer and absorption of heat energy by electromagnetic waves described by Maxwell's equations. The challenge was to explain why real physics avoids an ultra-violet catastrophe with radiation intensity going to infinity with increasing frequency beyond the visible spectrum. 

More precisely, the challenge was to uncover the physics of a blackbody spectrum with radiation intensity scaling with $T\nu^2$ with $T$ temperature and frequency $\nu\le\nu_{max}$ with $\nu_{max}$ a cut-off frequency scaling with $T$, and intensity quickly falling to zero above cut-off. 

Planck as leading physicist of the German Empire took on the challenge and after much struggle came up with an explanation based on statistics of energy taking the above form as Planck's Law, which has served into our time as a cover up a failure to explain a basic phenomenon in physical terms. 

Computational Blackbody Radiation offers an explanation in terms of finite precision physics setting a cut-off (scaling with temperature) on the frequency of emission from coordinated oscillations of an atomic lattice, with uncoordinated atomic motion stored as heat energy.

In this analysis heat is transferred from a body of higher temperature  to a body of lower temperature through a resonance phenomenon analogous to the resonance between two tuning forks. The essence can be described in terms of a  forced acoustically weakly damped harmonic oscillator:

• $\dot v(t)+\nu^2u(t)+\gamma v(t)=f(t)=sin(\bar\nu t)$ for $t>0$                    (1)

where $u(t)$ is displacement at time $t$, $v(t)=\dot u(t)$ is velocity, the dot represents derivative with respect to time $t$, $\nu$ is the frequency of the harmonic oscillator and $\bar\nu\approx\nu$ that of the forcing. For radiation the damping term takes the form $\gamma\ddot v(t)$. 

Mathematical analysis shows assuming small damping with $\gamma << 1$ and near resonance with $\nu\approx\bar\nu$ and integration over a period:

• $Output = \gamma \int v^2(t)dt \approx \int f^2(t)dt = Input$         (2)
• Velocity $v(t)$ out-of-phase with $f(t)$.                                                                (3)

Even if it looks innocent, (2) represents the essence of Planck's Law with (3) expressing basic physics: Out-of-phase means that the interacting between forcing and oscillator corresponds to a "pumping motion" with the forcing balanced mainly by the harmonic oscillator itself and not the damping. In the acoustic case $T=\int v^2(t)dt$ and thus $Output =\gamma T$, which in the case of radiation takes the form $Output = \gamma T\nu^2$ or Planck's Law. 

Sum up:

• Radiative balance between two bodies of equal temperature is expressed by (2).
• Heating of a body B1 with lower temperature from body B2 of higher temperature from frequencies above cut-off for B1.  
• High frequency cut-off effect of finite precision physics and not statistics.
• Blackbody spectrum is continuous (all frequencies) and requires atomic lattice. 
• A gas ha a line spectrum with selected frequencies, which is not a blackbody spectrum.
• Cosmic Microwave Background radiation as a perfect blackbody spectrum of an after-glow of Big Bang without atomic lattice appears as very speculative, with Big Bang itself as even more speculative beyond experimental confirmation.  

Is Cosmic Microwave Background Radiation Measurable?

Temperature fluctuations of CMB measured by COBE satellite. 

Pierre-Marie Robitaille leading the development of the 8 Tesla Ultra High Field human MRI (Magnetic Resonance Imaging) scanner, used his deep knowledge of electromagnetic resonance to question the measurement of the Cosmic Microwave Background Radiation (CMB) by NASA's COBE satellite, awarded the Nobel Prize in 2008. 

This was not well received by the physics community and Robitaille was effectively cancelled academically (as far as I understand), but his very informative youtube channel Sky Scholar (with 50k subscribers and 145 videos) has survived. Take a look and compare with previous post on Man Made Universality of Black Body Radiation.

CMB is supposed to be the "cooled remnant of the first light that could ever travel freely throughout the Universe" at the very low temperature of 2.726 K above ultimate 0 K. Very cold indeed. More precisely, it is claimed that measured CMB spectrum is very close to a blackbody spectrum at 2.726 K. 

In previous posts I have posed the question if the spectrometer involved in measuring CMB is effectively measuring temperature or radiative flux, with the answer that temperature can be measured at distance by radiative equilibrium in the same way a thermometer in contact measures temperature and not heat flux by establishing radiative equilibrium. This is supported by the fact that it is a measured temperature of 2.726 K, which is the main characteristic of the postulated CMB, not its unknown radiative heat emission as a (small) possible contribution to global warming. Recalling previous posts and Robitaille, we know that the blackbody spectrum is a fiction only met by graphite and so one may ask why CMB could behave the same. 

In the view presented on Computational Blackbody Radiation the temperature measurement by NASA's COBE satellite as main evidence of the existence of CMB, is based on resonance between apparatus and cosmic background, which has to be singled out from all other resonances. Robitaille here presents the Oceans of the Earth as a possible source overwhelming CMB, thus questioning the existence of CMB.  

When your brain registers a sound arising from resonance between a sound source and eardrum, the direction to the source can be decided because you have two ears, but the distance to the source and so the origin of the sound is more difficult to determine in the presence of other possibly stronger sources.  Robitaille questions the possibility to single out CMB from the radiation from the Oceans.  Do you?

Man-Made Universality of Blackbody Radiation

Pierre-Marie Robitaille is one of few physicists still concerned with the physics of blackbody radiation supposed to be the first expression of modern physics as presented by Max Planck in 1900, as expressed in this article and this article and  this talk.

Robitaille points to the fact that a blackbody is a cavity/box $B$ with interior walls covered with carbon sooth or graphite. Experiments show that the spectrum of the radiation $B_r$ from a little hole of such a cavity only depends on frequency $\nu$ and temperature $T$ according to Planck's Law:

• $B_r=\gamma T\nu^2$   if $\nu <\frac{T}{h}$  and $B_r=0$ else,       (P)     

where $\gamma$ and $h$ are universal constants, and we refer to $\nu <\frac{T}{h}$ as high-frequency cut-off. 

Experiments show that putting any material body $\bar B$  inside the cavity will not change (P), which is seen as evidence that the spectrum of $\bar B$ is the same as that of $B$  independent of the nature of $\bar B$ as an expression of universality. 

This is questioned by Robitaille, but not by main-stream physicists. Robitaille insists that the spectrum depends on the nature of the body. 

Let us see what we can say from our analysis in Computational Blackbody Radiation. We there identify a perfect blackbody to have a spectrum given by (P) with $\gamma$ maximal and $h$ minimal, thus by maximal radiation and maximal cut-off. By experiment we determine that graphite is a good example of a perfect blackbody. By maximality a blackbody spectrum dominates all greybody spectra.

Let then a greybody $\bar B$ be characterised by different constants $\bar\gamma (\nu)=\epsilon (\nu)\gamma$ with $0<\epsilon (\nu) <1$ a coefficient of emissivity = absorptivity possibly depending on $\nu$, and $\bar h >h$. The radiation spectrum of $\bar B$ is given by 

• $\bar B_r=\epsilon (\nu)\gamma T\nu^2$  if $\nu <\frac{T}{\bar h}$ and $\bar B_r=0$ else.

This is not universality since $\epsilon (\nu)$ and $\bar h$ depend on the nature of $\bar B$. 

But let us now put $\bar B$ at temperature $\bar T$ inside the cavity $B$ with graphite walls acting as a blackbody and let $B$ take on the the same temperature (assuming $\bar B$ has much bigger heat capacity than $B$) with thus

• $\bar B_r=\epsilon (\nu)B_r$ for $\nu<\frac{\bar T}{\bar h}$ and $\bar B_r=0$ else.

We then measure the spectrum of the radiation from the hole, which is the blackbody spectrum of $B_r$:

• $B_r=\gamma\nu^2$ for $\nu<\frac{\bar T}{h}$ and $B_r=0$ else.

If we then insist  that this is the spectrum of $\bar B$, which it is not, we get a false impression of universality of radiation. By maximality with $h<\bar h$ the cavity spectrum $B_r$ dominates $\bar B_r$.

 

We conclude that the universality of blackbody radiation is a fiction reflecting a dream of physicists to capture existential essence in universal terms. It comes from using the cavity as a transformer of radiation from a greybody to a blackbody pretending that the strange procedure of putting objects into cavity with graphite walls to measure their spectrum, is not strange at all. 

We may compare with US claiming that the dollar $D$ represents a universal currency backing that by imposing an exchange rates $\epsilon <1$ for all other currencies $\bar D$, thus imposing the dollar as the universal currency for the the whole World forgetting that all currencies have different characteristics. This gives the FED a man-made maximal universally dominating role, which is now challenged... 

PS1 To meet criticism that painting the walls of the cavity with graphite may be seen as a rigging of the measurement of radiation through the hole, physicists recall that removing the graphite and letting the walls be covered with perfect reflectors, will give the same result, if only a piece of graphite is left inside the cavity. This shows to be true, but the piece of graphite is necessary and its effect can be understood from the maximality of blackbody radiation independent of object size. 

PS2 Recall radiation spectra of solid state is continuous while gasses have discrete spectra. Also recall that measuring spectra typically is done with instruments like bolometer or pyrgeometer, which effectively measure temperature from which radiation is computed according to some Planck law which may but usually does not represent  reality. Atmospheric radiation spectra play an important role in climate modelling, and it is important to take them with a grain of salt, since what is de facto measured is temperature with radiation being computed according to some convenient formula serving man-made climate alarmism.  

PS3 The Sun has a continuous spectrum and so probably consists of liquid metallic hydrogen. Main-stream physics tells that it has a gaseous plasma state.

Secret of Conductive and Radiative Heat Transfer

This is a continuation of the previous post on Heat Conduction in Solids as Radiative Heat Transfer with  clarifying analysis from Mathematical Physics of Blackbody Radiation and Computational Blackbody Radiation.

The key aspect of both conductive and radiative heat transfer is interaction in a coupled system of weakly damped oscillators of different frequencies tending to an equilibrium with all oscillators having the same temperature as the system temperature. The damping can be frictional (1st order time derivative) or radiative (3rd order time derivative) 

There are two main questions: (i) Why do different systems take on the same temperature? (ii) Why do oscillators with different frequencies in a system take on the same temperature?  

The answer is hidden in the interaction between incoming radiation, oscillator and outgoing radiation in a weakly radiatively damped oscillator analysed in detail in the above texts. The essence is that under near resonance between incoming frequency and oscillator frequency,  

• incoming radiation is balanced by outgoing radiation plus internal heating. 

This is a non-trivial basic fact reflecting that the forcing and oscillator are out-of-phase with a shift of half a period as a consequence of small radiative damping and near resonance. 

Two coupled oscillators thus interact with outgoing from one oscillator acting as incoming for the other and vice versa and so are led to take on the same temperature, which is then spread over the oscillators of a system and also over systems. 

The essential components in this equilibration process are thus

• weakly damped oscillators generating outgoing radiation and internal heating 
• out-of-phase balance between forcing and damping from near resonance
• high-frequency cut-off increasing with temperature from finite precision computation.  

This analysis connects to Planck's derivation of his law of radiation with statistics replaced by finite precision thus replacing non-physics by physics. 

The 2nd Law as Radiative Heat Transfer

The 2nd Law of Thermodynamics states that heat energy $Q$ without forcing, is transferred from a body of temperature $T_1$ to a body of temperature $T_2$ with $T_1>T_2$ by conduction according to Fourier's Law if the bodies are in contact: 

• $Q =\gamma (T_1-T_2)$ 

and/or by radiation according Stephan-Boltzmann-Planck's Law if the bodies are not in contact as radiative heat transfer: 

• $Q=\gamma (T_1^4-T_2^4)$        (SBP)

where $\gamma > 0$.

The energy transfer is irreversible since it has a direction from warm to cold with $T_1>T_2$. It is here possible to view conduction as radiation at close distance and thus reduce the discussion to radiation. 

We can thus view the 2nd Law to be a consequence of (SBP), at least in the case of two bodies of different temperature: There is an irreversible transfer of heat energy from warm to cold. 

To prove 2nd Law for radiation thus can be seen to boil down to prove (SBF). This was the task taken on by the young Max Planck, who after a long tough struggle presented a proof in 1900, which he however was very unhappy with, since it like Boltzmann's H-theorem from 1872 was based on statistical mechanics and not classical deterministic physical mechanics.

But it is possible to prove (SBF) by replacing statistics with an assumption of finite precision computation in the form of  Computational Blackbody Radiation. Radiative heat transfer is here seen to be geared as a deterministic threshold phenomenon like a semi-conductor allowing heat transfer only one-way from warm to cold. 

Another aspect of radiation is that it is impossible to completely turn off or block by shielding of some sort. It connects to the universality of blackbody radiation taking the same form independent of material matter as shown here. 

We are thus led to the following form of the 2nd Law without any statistics:

• Radiative heat transfer from warm to cold is unstoppable and irreversible. 

The finite precision aspect here takes the form of a threshold, thus different from that operational in the case of turbulent dissipation into heat energy connecting to complexity with sharp gradients as discussed in recent posts.

PS To learn how statistical mechanics is taught at Stanford University by a world-leading physicist, listen to Lecture 1 and ask yourself if you get illuminated:

• Statistical mechanics is useful for predictions in cases when you do not know the initial conditions nor the laws of physics.

2nd Law for Radiative Heat Transfer as Finite Precision Physics

Transfer of heat energy from warm to cold by electromagnetic waves.

This is a continuation of recent posts on the 2nd Law of Thermodynamics.

There is a 2nd Law for radiative heat transfer expressing:  

• Heat energy is transferred by electromagnetic waves from a body with higher temperature to a body with lower temperature, not the other way.  (*) 

Why is that? Standard physics states that it is a consequence of Plank's law of radiation based on statistics of energy quanta, as an analog of Boltzmann's proof of a 2nd Law based on statistical mechanics. The objections raised to Boltzmann's proof carry over to that of  Planck, who was very unhappy with his proof but not as unhappy as Boltzmann with his. 

An approach without statistics is presented on Computational Blackbody Radiation where (*) appears as a high frequency cut-off increasing with temperature. The effect is that only frequencies above cut-off for the body with lower temperature have a heating effect resulting in one-way transfer of heat from warm to cold. For more details check-out this presentation. 

The high-frequency cut-off can be seen as an expression of finite precision increasing with temperature of atomic oscillation as heat energy. One-way heat transfer is thus a threshold phenomenon connected to finite precision.

Similarly, the photoelectric effect can be explained as a threshold phenomenon connected to finite precision, where only light of sufficiently high frequency can produce electrons. 

A 2nd Law based on finite precision physics thus can serve a role both in both fluid mechanics, and electromagnetics,  and also quantum mechanics as discussed in this post.  

In other words, finite precision physics in analog or digital form appears as the crucial aspect giving  meaning to a universal 2nd Law, which is missing in standard physics with infinite precision. 

The general idea is to replace statistical physics, which is not real physics, by finite precision computation, which can be both analog and digital physics. 

Of course, this idea will not be embraced by analytical mathematicians or theoretical physicists working with infinite precision...

Classical Universal vs Modern Man-Made Physics

Stopping a roulette wheel by hand as man-made physics.

The recent posts on Wolfram's new proof of the 2nd Law of Thermodynamics exhibit a basic difference between 

• Classical physics as universal deterministic physics independent of human observation.
• Modern physics as man-made statistical physics dependent on human observation. 

The change from classical to modern physics was initiated by Planck in 1900 in an analysis of blackbody radiation extending Boltzmann's statistical mechanics of material particles to light particles, and then picked up by Einstein as photons in 1905. 

The break with classical mechanics was the introduction of statistics as a man-made concept used by insurance companies collecting data to compute customer tariffs, without any corresponding agency in Nature. 

The next break came with Einstein's relativity theory giving different observers different conceptions without common ground, and the final break came with Born's statistical interpretation of Schrödinger's wave function of quantum mechanics stating that electrons in atoms play roulette with an act of observation influencing the physics by stopping the roulette wheel by human hand, referred to as collapse of the wave function. 

These were all breaks with the universality of classical deterministic physics independent of human observation into different forms of man-made statistical physics, thus giving up the basic cause-effect of deterministic physics, as a collapse of physics. 

The reason to make this immense sacrifice, with far-reaching loss of rationality, was a perceived limitation of classical deterministic continuum physics to describe (i) black-body radiation, (ii) atom physics and (iii) speed of light. 

But it is really necessary to pay this major scientific cost into bankruptcy of modern physics? 

Is it possible that (i)-(iii) can be handled within classical deterministic continuum physics? 

I present a positive answer here: 

• Computational Blackbody Radiation
• Real Quantum Mechanics 
• Many-Minds Relativity. 

Take a look! Why pay a high price for something of questionable value ruining your economy, if it is not necessary?