Essay Abstract

This essay undertakes to explain the sometimes positive and negative connection between Physics and Mathematics. From antique Greece through the Middle Ages and the Renaissance to the 20th century a parabola is drawn, describing the often controversial relationship between the two disciplines. As crown witness for the harmful influence of math without empirical feedback, the development of Einstein cosmology is presented in some detail. It shows an 800 pound gorilla (mathematics) can easily suppress a small bird (physics) if nobody cares for a fair equilibrium. The mainstream Standard Cosmological Model, or Big Bang, with inflation and accelerating expansion is the result. It has no realistic physical background and based on a false redshift explanation. An alternative redshift mechanism is conjectured.

Author Bio

Author Bio: Physics and Aerospace Engineering at the University of Stuttgart, rocket science consultant to the German Government, CTO OTRAG Rocket Science and Launch Vehicle Development, Physics University Professor emeritus

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Dear Lutz,

As I also find an expanding universe doubtful, I read your essay with great interest. I was tantalized until the last paragraph waiting for you to divulge your redshift mechanism.

The trouble with radiation being absorbed by hydrogen is that the energy would eventually lead to heat death of the universe. You will see this point made in my essay with regard to the cosmological work of Walther Nernst. I think you will agree that the thermodynamic issue of heat death cannot be overcome by ordinary transfer of radiation.

It is also shown that the situation is not one of insufficient data, but of interpretation. Supernova luminosity-redshift data are consistent with a quantum version of tired light. If the redshift is due to tired light, there must be complementarity between received photon energy and distant supernova time dilation.

Best regards,

Colin

    Dear Lutz Kayser,

    You make a good case that cosmology was not founded on experiments but on mathematical solutions in a framework that simply excited the mathematical physicists. To some extent quantum mechanics carried on in the same fashion, leading to "dozens of adjustable constants and parameters to make the experiments "fit"." [See "fit an elephant" in my 2013 essay: Gravity and the Nature of Information.] As you note:

    "The question of truth does not count as long as the math fits."

    But, to answer your question, I don't think it will take that long to break out of this prison.

    Your most damning statement: "whoever wrote something contrary, daring to discuss different cosmologies saw himself banned from Academia."

    Apparently that is still the case today, as the silence from the academics (with one mixed exception) surrounding my essay is rather surprising. I show that Bell oversimplified his model, and academics appear unwilling to touch this with a 10 foot pole. Your comment about Dingell and "Einstein's leg" certainly seems to apply in spades to Bell! The recent '50 Years of Bell's Theorem' has been described as hagiography.

    I've recently seen an article about your suggestion that dark matter is the H2 molecule and it seems to make quite a bit of sense. There are number of essays here that agree with you about putting physics back in the driver's seat and using math as a tool, not as inspiration.

    I hope you will read and comment on my essay.

    My best regards,

    Edwin Eugene Klingman

      Dear Lutz Kayser,

      You will be delighted to read the following paper, suggesting that:

      It is not the universe which is expanding, and whose expansion is getting accelerated at the rate H0 c. Rather, it is the photon, which is decelerating at the same rate H0 c. And, since there is no accelerated-expansion of the universe, there is no need for any dark-energy, with a strange property of repulsive gravity. Of course, there seem to be huge amount of un-manifest energy, due to which not only photons, but at least four space-probes also are measured to decelerate at the same rate H0 c.

      Your valuable comments are most welcome. The paper is posted at:

      http://vixra.org/abs/1502.0218

      I too have attempted to express my views in the essay titled:

      On the connection between physics and mathematics.

      Your valuable comments are most welcome.

      Yours sincerely,

      Hasmukh K. Tank

        This is a great paper. I share, I think, similar thoughts in my essay, "Modeling Reality with Mathematics". However, you bring more reality to the situation. I have put two videos on Youtube in an attempt to explain some problems in physics. They purport that Einstein and others did their work before QED by Feynman was produced. I also purport that if present day science would consider QED while examining the big bang and general relativity, opinions would change.

        "Space is not Warped" http://youtu.be/p0E5AWnYjys

        "Is the Big Bang a Hoax" http://youtu.be/w6NsfzNEOmo

        If I had read papers like yours and others, I would probably not have written mine.

        Thanks

          Your essay is very refreshing so much so that I gained a lot from you.

          Smiles!

          Great work!!!!

          Sincerely,

          Miss. Sujatha Jagannathan

            Dear Edwin Eugene Klingman,

            The reason that people stop responding to your incorrect claims about Bell is that you do not pay any attention to what they say. I explained that Bell's discussion is of experiments described in terms of a binary outcome space, which (in the case of spin and a Stern-Gerlach apparatus) can be characterized as the outcome space {particle detected above the midline, particle detected below the midline}. That is a perfectly good outcome space, and Bell's theorem applies. The prediction of quantum theory is that experiments of this kind will violate his inequalities for that outcome space, and hence cannot be reproduced (as his theorem shows) by any local physics. Your "model" in no way shows anything wrong with either Bell's framing of the question, or his proof, or the actual experiments. Your attention to spreads of the results is simply irrelevant, since the theorem is about correlations between outcomes described using the binary outcome space. The very picture in your own essay of the original Stern-Gerlach results shows the particles cleanly and clearly divided into detection above the midline and detection below the midline. It is the results, described in this way, that the theorem is about.

            The fact that Bell codes the one sort of result mathematically as "+1" and the other as "-1" is completely insignificant to the theorem. In photon experiments, the results would be sorted into "detected in output channel 1" and "detected in output channel 2", also a binary outcome space. In fact, since the actual experiments done originally were on photons, your focus on Stern-Gerlach magnets does not even make contact with the empirical results.

            No discussion is banned. But a productive discussion requires paying attention to what is being said.

            Tim Maudlin

            Dear Tim Maudlin,

            There is quite a difference between "not paying attention" to what you say, and "agreeing with what you say." For example, on my thread, you said approximately 15 times that the Stern-Gerlach-type experiments describe:

            "Binary outcome space" , or

            are "coded as +1 or -1", or

            are "outcome1 and outcome2", or

            are "spin up and spin down", or

            "red light went on" versus "green light went on", or

            are "above the midline" or "below the midline".

            It's pretty hard to miss that you believe the experiment is based on binary outcomes.

            What you have missed, and missed a number of times, is that this suppresses the physics of the situation.

            As an example, when particles are collided at LHC, some of the collision products come out 'above the midline' and some of them come out 'below the midline'. Nobody cares -- there is no physics in analyzing LHC scattering experiments in such a simple matter.

            I've tried to tell you, in a number of different ways, that Bell ignores the physics going on in the Stern-Gerlach apparatus. And by constraining the outcomes to be simple binary outcomes he throws away the information that can be derived from the physics of the experiment. Physicists care (or should care) about this information. The fact that when this information is thrown away the physical model cannot match reality, is significant. Applying correct math to incorrect physics makes no sense, but that is exactly what Bell has done.

            As John Cox remarked, as an academic philosopher, you find it easy to take the physics out of math while leaving the math in physics. As a physicist I don't find it that simple. You have twice stated that I pay no attention to what you say. I have reviewed our comments and find it is difficult to discover any response from you to my valid points. And when I supplied data that contradicted your statement about neutron results, and asked you for any data that would support your position, you said you couldn't imagine why anymore time should be spent on the argument.

            In fact, having reviewed your comments, I do have more responses. But this thread is meant to be for Lutz Kayser's essay, I don't think we should continue this conversation here. My next comment will be on my thread. I hope you find reason to respond.

            Edwin Eugene Klingman

            Colin,

            your splendid essay I read with interest and I shall think further about it.

            Finding a physically sound mechanism for the cosmological redshift is an important goal for the next years. Let's work on it. Edwin Hubble was convinced that expansion is unrealistic.

            H2, H1, protons,electrons, and fine dust can absorb small amounts of radiation energy and get rid of it by collisions between them. No quantum effects required.

            But lab tests are difficult in view of the large distances involves. But refraction and diffraction in gases is well established.

            I wish you well with your work. Write me if you have more ideas.

            Best

            Lutz

            Edwin,

            thanks for your kind words. You are certainly a brave man to ... on Bell's leg which I did not yet dare. However, I shall study your essay further.

            Generally it can be said that positive criticism is not well received by Akademia because professors do not like to change their curricula every year. Even if they know it's wrong they insist on the mold stuff in the textbooks.(continuity, concordance, etc). The "successful" researchers in terms of funding are the incrementalists, unfortunately.

            Please continue to work on the improvement of "physical" physics!

            Best

            Lutz

            Dear Mr. Tank,

            thanks for your kind words. I already knew your paper on vixra and find it interesting. We need empirical proof.

            Keep working on it!

            Best

            Lutz

            PS: I knew a famous aircraft designer who went to India after WWII. Are you related?

            Al,

            thanks for your encouragement. I watched your Youtu presentation and understood what you want to tell. Can you imagine a lab experiment to prove it?

            Keep working on it

            Best

            Lutz

            Sujatha,

            thanks for your smiles; they certainly look nice.

            I am glad that my story gave you something.

            Best for India

            Lutz

            Lutz,

            Thank you, for your essay and for your response. The problem is every bit as severe as you say it is in the strongholds of physics, but I would remind you of MacArthur's campaign on New Guinea, which was to "bypass the strongholds", to "hit them where they ain't", and to let them "die on the vine". The rules of the game are changing and it may no longer be possible to bottle up embarrassing or unpleasant truths. FQXi and the Net change the rules of the game. There is still an incredible noise factor in order to be heard outside the "Halls of Learning", but it's not nearly as bad as it used to be.

            Best,

            Edwin Eugene Klingman

            Dear Lutz,

            There is at least a chance that general relativity will fail a second order test like the proposed LATOR mission which would measure deflection of laser light passing by the Sun. As a consequence, the expansion hypothesis would likely be unsupportable.

            I will say the refraction mechanism is more physically realistic, but it seems to me the universe would eventually just run down. The idea propelling Nernst's thinking was that recycling between matter and energy could go on indefinitely.

            That is a stark choice. I prefer Nernst's cosmology over the alternatives even if the theory is undeveloped.

            Best to you,

            Colin

            "Einstein was the cleverest in riding that wave. He took Minkovski's four-dimensional time-space symmetry, mixed it with Poincare's "Lorentz transformations" and relativity, added some self-invented new vector addition law and published this in 1905 as his special Relativity Theory. Being a physicist it did not bother him that no positive experiments were available as a foundation."

            Correct, but the everything-derived-from-two-simple-postulates trick should be emphasized. Initially Einstein derived the constancy of the speed of light from the Lorentz transforms, then called it "postulate" and finally derived the Lorentz transforms from the postulate (the gullible world was stunned):

            Albert Einstein, What Is The Theory Of Relativity? (November 28, 1919): "The second principle, on which the special theory of relativity rests, is the "principle of the constant velocity of light in vacuo." This principle asserts that light in vacuo always has a definite velocity of propagation (independent of the state of motion of the observer or of the source of the light). The confidence which physicists place in this principle springs from the successes achieved by the electrodynamics of Maxwell and Lorentz."

            Introduction to Special Relativity, James H. Smith, p. 42: "We must emphasize that at the time Einstein proposed it [his second postulate], there was no direct experimental evidence whatever for the speed of light being independent of the speed of its source. He postulated it out of logical necessity."

            The truth is that, in 1887 (prior to FitzGerald and Lorentz advancing the ad hoc length contraction hypothesis), the Michelson-Morley experiment unequivocally confirmed the variable speed of light predicted by Newton's emission theory of light and refuted the constant (independent of the speed of the source) speed of light predicted by the immobile ether theory and later adopted by Einstein as his special relativity's second postulate:

            Alberto Martinez: "In sum, Einstein rejected the emission hypothesis prior to 1905 not because of any direct empirical evidence against it, but because it seemed to involve too many theoretical and mathematical complications. By contrast, Ritz was impressed by the lack of empirical evidence against the emission hypothesis, and he was not deterred by the mathematical difficulties it involved. It seemed to Ritz far more reasonable to assume, in the interest of the "economy" of scientific concepts, that the speed of light depends on the speed of its source, like any other projectile, rather than to assume or believe, with Einstein, that its speed is independent of the motion of its source even though it is not a wave in a medium; that nothing can go faster than light; that the length and mass of any body varies with its velocity; that there exist no rigid bodies; that duration and simultaneity are relative concepts; that the basic parallelogram law for the addition of velocities is not exactly valid; and so forth. Ritz commented that "it is a curious thing, worthy of remark, that only a few years ago one would have thought it sufficient to refute a theory to show that it entails even one or another of these consequences...."

            John Norton: "These efforts were long misled by an exaggeration of the importance of one experiment, the Michelson-Morley experiment, even though Einstein later had trouble recalling if he even knew of the experiment prior to his 1905 paper. This one experiment, in isolation, has little force. Its null result happened to be fully compatible with Newton's own emission theory of light. Located in the context of late 19th century electrodynamics when ether-based, wave theories of light predominated, however, it presented a serious problem that exercised the greatest theoretician of the day."

            John Norton: "In addition to his work as editor of the Einstein papers in finding source material, Stachel assembled the many small clues that reveal Einstein's serious consideration of an emission theory of light; and he gave us the crucial insight that Einstein regarded the Michelson-Morley experiment as evidence for the principle of relativity, whereas later writers almost universally use it as support for the light postulate of special relativity. Even today, this point needs emphasis. The Michelson-Morley experiment is fully compatible with an emission theory of light that CONTRADICTS THE LIGHT POSTULATE."

            Relativity and Its Roots, Banesh Hoffmann, p.92: "There are various remarks to be made about this second principle. For instance, if it is so obvious, how could it turn out to be part of a revolution - especially when the first principle is also a natural one? Moreover, if light consists of particles, as Einstein had suggested in his paper submitted just thirteen weeks before this one, the second principle seems absurd: A stone thrown from a speeding train can do far more damage than one thrown from a train at rest; the speed of the particle is not independent of the motion of the object emitting it. And if we take light to consist of particles and assume that these particles obey Newton's laws, they will conform to Newtonian relativity and thus automatically account for the null result of the Michelson-Morley experiment without recourse to contracting lengths, local time, or Lorentz transformations. Yet, as we have seen, Einstein resisted the temptation to account for the null result in terms of particles of light and simple, familiar Newtonian ideas, and introduced as his second postulate something that was more or less obvious when thought of in terms of waves in an ether. If it was so obvious, though, why did he need to state it as a principle? Because, having taken from the idea of light waves in the ether the one aspect that he needed, he declared early in his paper, to quote his own words, that "the introduction of a 'luminiferous ether' will prove to be superfluous."

            Pentcho Valev

              Dear Colin

              you are completely right emphasizing the Nernst ideas. Hubble approved it too. The farther he looked in the 1930ies into space the more convinced he was that expansion is an impossible explanation for the vast redshifts he measured. With no expansion BB is out.

              The logically following question of the Clausius law of ever-increasing entropy has to be solved additionally. Are we sure that it is applicable to an infinite cosmos?

              The dispersion measurement (DM) by millisecond pulsars give a chance of determining the redshift mechanism.

              Once we have found an experimentally proven cosmological redshift law (Refraction, Diffraction, Dispersion, etc) we can think about what happens after another trillion years.

              Best to you

              Lutz

              Dear Pentcho

              you citations are instructive. Poincare introduced relativity because he doubted that we can ever measure the absolute velocity reference frame. We have it now with CMB. Insofar Einstein was right to repeat that c is constant in vacuo. But he failed to specify "in reference to CMB Zero" which he could not know at the time. Einstein's main mistake was his intentional mix up of absolute velocity and relative velocity. He postulated both are equal and this is false.

              Concerning the Ritz opinion please understand that an EM wavelet (photon) speed does not care about its source speed. The moment the photon is travelling, it does so with absolute constant c. Therefore, the Ritz cannon ball analogy is false.

              Please read my paper on relativity

              https://www.academia.edu/10256811/Falsification_of_Einstein_Theories_of_Relativity

              Best

              Lutz

              Dear Joe,

              you are right stressing "abstract". But math is by definition abstract. This is why Feynman fled to abstract constructs in QEM because nobody can physically understand it.

              But you, Joe, also seem to flee in stating "there is no space". Do you mean because vacuum space is nothing there is no space. However, we are living in space and therefore I think space has three dimensions. Anything that has dimensions must exist?

              Best

              Lutz