Jim

Not dense, but, like most, you may need to 'step back' for overview, and read, consider and absorb more slowly.

I entirely agree with reducing expansion rate, but I don't think that's for the reasons you suggest. The concept 'last scattered' is important. Yes, we are getting signals from local emissions, but they are mainly 'scattered' emissions, i.e. they have entered plasma shocks and halo's and been diffracted, (subject to relative speed of the body the shocks surround) to different frequencies, i.e. redshifts.

This means part of redshift may perhaps relate to Polarisation Mode Dispersal (the particle charging delay causing diffraction) by the ion plasma particles and part to the impedence of the condensate itself. (2.7 degree pre condensed matter condition) also note the 2.7 changes slightly with frequency!

You may still have a point about 5 Bn years ago, as that was around when the Milky Way should have had it's last recycling, (see the viXra paper) but I'd have to consider what effect that would have on incoming signals. That means I'd need to scrutinise all "the evidence" of what the difference between "observational samples" at that distance is. Can you provide that, with links?

Peter

    Peter, you write

    "I'll double check I've scored your essay as I note it's way below where it should be!"

    What ratings are you referring to? The last time I checked your public rating was 8.3 compared to 8.5 for mine.

    Ah, Peter, you are so sly! I like it! You are always a challenge and a pleasure to engage in these blogs! Politics is no less a match for you than Physics. Have you tried your hand in it? I predict you will be very good. I already voted for you!

    Moving on, however, from these murky waters of politics to the murkier waters of physics.

    We agree on many views.

    Certainly, we know physical reality by our observations and measurements of the Universe. But clearly such measurements are always done 'locally' where we are and our instruments are. So I agree with your "locality/reality" principle. And I agree that this has the potential of answering many puzzling enigmas of physics. You have been concentrating on explaining the constant speed of light and SR. While I have been more focused on explaining Planck's Law of blackbody radiation.

    The most astonishing result in my papers and essay is that Planck's Law is an exact mathematical tautology that describes the interaction of measurement. It is a mathematical result! Nothing to do with physics!

    One outstanding characteristic of Planck's Law is how remarkably exact it is to experimental data. Check: The Cosmic Microwave Background Spectrum from COBE! In this graph, the experimental blackbody spectrum is indistinguishable from the theoretical curve. And unlike many other laws of physics, the better our instruments get the closer the fit! I ask all the physicists out there: "What is the explanation of this remarkable exact fit?"

    My work CAN explain this experimental fact, however! In my essay I prove that Planck's Law is an exact mathematical tautology that describes the interaction of measurement. Clearly, the COBE blackbody spectrum is recorded 'locally' by the 'sensor' making these measurements. These measurements describe the mathematical identity that is Planck's Law!

    I am still puzzled by your DFM. At this time, at least, it still feels to me like the "wave-particle" paradox. Having solved that paradox, however, I have a sense this dichotomy may be resolved too. I anticipate that we may agree on that point too. I just have to see it somewhat differently, in my way of thinking that fits all my other results.

    Constantinos

    Dear Edwin,

    A brief reply for now since I am on my way out to see my daughter.

    If I am not mistaken, your C-field comes from modifications to Maxwell's equations. Thus, the properties of the C-field are already contained in the equations that gave rise to it. Though you take this C-field as 'primordial', its 'properties' don't flow out of it, but from the equations you use to define it!

    The 'prime physis' quantity eta in my essay is 'first nature'. What is eta? It is in a sense the 'what is'. Therefore, it is 'undefined and undefinable'. Other physical quantities like energy and momentum are defined in terms of it. And these lead, through mathematical identities, to the Basic Laws of Physics. This is different from mathematical modeling.

    Planck's Law, for example, I show to be a mathematical identity that describes the interaction of measurement! This fact alone explains why Planck's Law fits the experimental data so remarkably exactly. Check: The Cosmic Microwave Background Spectrum from COBE!. There is no explanation of this other than the one I offer!

    Constantinos

    Peter,

    Thanks for your reply. I am not thinking so much of a gravitational 'effect' on the photon as I am simply a 'medium' in which electromagnetic waves can 'wave'. My basic C-field equation does contain a term for "change in gravity" and this is of course supported by Pound-Rebka. But it says nothing about gravity that is not changing, although, as I said, the field has energy, hence equivalent mass, hence 'substance' of some sort.

    As for your paragraph 2, I fully agree. It's very frustrating to know that the proper word or phrase may lead to success without any change in the logic of one's argument. And I have not been able to conjure up this word.

    And as for your third paragraph, I agree with your ideas about transmission through plasma; I'm just trying to get an intuitive feel for transmission through 'empty' space (which always is 'full of gravity'). I have continued to work on the ideas expressed in 'GEM and the Constant Speed of Light' and have new results that are very interesting.

    Edwin Eugene Klingman

    Peter,

    Thanks. I should have explained that I really view the two questions I'd raised as separate issues (of course they're interrelated, but not necessarily directly).

    I'm most interested in the second question, as in reviewing the observational evidence as best I can, it seems that the researchers identified that the redshift of photons detected from more distant objects required that expansion has accelerated. Most simply put, as I understand, they determined that galaxies at the periphery of the observed universe are receding away from us at an increased velocity, thus universal expansion is accelerating!

    Again, I simply understand that the ancient light indicated greater expansion.

    My resources are limited so I prefer to focus on the original source: "Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant", Riess et al.:

    http://arxiv.org/abs/astro-ph/9805201v1

    It states most simply: "The distances of the high-redshift SNe Ia are, on average, 10% to 15% farther than expected in a low mass density (M = 0.2) Universe without a cosmological constant."

    A warning: the report is very astronomical-technical. For example, "light curve fitting methods" refers to determining where a SN observation fits in it brief period of peak emission luminosity, as it is only the observed luminosity for the consistent peak emission luminosity can be used to estimate distance. Of course the diminishment of luminosity is directly related to the distance the light has traversed, not any real distance to any observed object.

    A more general source might be a summary, "The Accelerating Universe":

    http://arxiv.org/abs/1010.1162

    In a section "The discovery of dark energy", the author states:

    "The definitive results, based on ~ 50 SN by either team that combined the nearby sample previously observed by the Calan/Tololo collaboration and the newly acquired and crucial sample of high-redshift SN, came out soon thereafter [Riess et al. (1998); Perlmutter et al. (1999)]. The results of the two teams agreed, and indicated that more distant SN are dimmer than would be expected in a matter-only universe; see Fig. 1.2. In other words, the universe's expansion rate is speeding up, contrary to expectation from the matter-dominated universe with any amount of matter and regardless of curvature."

    I can understand if you are not in a position to tackle this, I think, very simple issue made very complicated by astronomers. I had hoped you could quickly point out some obvious error in my assessment, if one exists. I can certainly understand if you cannot invest your time in this issue... I thank you very much for your interest!

    Jim

    Constantinos,

    I am sure you will enjoy your visit with your daughter.

    You say, "If I am not mistaken, your C-field comes from modifications to Maxwell's equations. Thus, the properties of the C-field are already contained in the equations that gave rise to it. Though you take this C-field as 'primordial', its 'properties' don't flow out of it, but from the equations you use to define it!"

    I suppose you could say that. Actually, I derived the concept of the C-field from quite a different approach, and then found out that Maxwell had first proposed the idea, and then that Einstein's general relativity, in the weak field approximation, leads to the same equations, and then that Martin Tajmar had measured the same strength that I had calculated.

    But that is not really the issue. The issue is the basic difference between what I believe and what you apparently believe. I believe that there is a physical reality, and it is essentially 'unitary', evolving from one primordial essence. I have shown elsewhere how this leads to mathematics, and mathematics is a language that we can use to describe reality.

    You seem to believe that mathematics is the core reality, and that physical reality is somehow secondary and limited or constrained by mathematical equations. So I very much disagree with your statement that the 'properties' of the C-field flow out of the equations. Rather I believe that the equations describe the very real properties of the C-field. I don't really see how anyone could believe anything else, but I know they do.

    As for your third paragraph on the 'prime physis', when I read it I think we agree, but this agreement always disappears with your next comments.

    I am glad that you are happy with your explanation of Plank's constant. But there most definitely is another explanation than yours. If you review my essay you will find that I too derive Plank's constant as a necessary condition of mathematics.

    But since your derivation from mathematics and my derivation from mathematics are quite different, I conclude that Planck's constant is not necessarily a mathematically derived 'thing' but that mathematical descriptions of reality must take into account the existence of Planck's constant.

    Edwin Eugene Klingman

    Peter,

    Congratulations.

    The essay theme and your essay title implicitly pose the question whether they are inclusive enough to admit the possibility that either, both or neither options truly represent reality. Insofar as the great preponderance of questions, asked and unasked to date, remain unanswered, it is reasonable to presume that of all the possible definitions of reality of which we are aware the probability that any one or more are correct is very low.

    A few issues arise from the contents of your essay and the mind of an itinerant sceptic:

    1. Time:

    Regarding the maximum speed of light, one can't but wonder whether any such speed, when measured along the axial alignment of a light beam, following an axial path described by its helical array, or measured by a instrument travelling tens of thousands of miles an hour through space but not knowing what that speed is measured relative to - all constitute little more than much ado about nothing.

    2. Space:

    Einstein's notion of space not being a continuous absolute void may merit revisiting. We suffer from an obdurate confusion between space as volume, dimensions that are means of describing it, and what space contains, which are merely contents. In accepting this thesis we can more clearly recognize that appearances of curved space can be easily explained as being patterns of energy force fields that arise from the uneven distribution of energy in the universe.

    3. Gravity:

    As a result of experiment and observation we are predisposed to thinking that nature abhors a vacuum, vacuum being unfilled void or space. By nature we mean the totality of all phenomena that exhibit behaviour. Vacuum, which we consider to be devoid of behaviour, we conclude to be hostile and unnatural. We take this position because our immediate environment is almost totally natural. It teems with phenomena exhibiting behaviour. But if we take the larger, God-like view of all there is, we find that vacuum is the dominant condition. What is common to our experience is that forces tend to flow towards matter. The God-like view of all there is would logically reverse polarities and hold that vacuum is natural, and what we call nature to be an imperfection of vacuum. To illustrate this distinction, consider vacuum to be at its most concentrated condition furthest removed from matter.

    As we approach matter there is a gradual dilution of vacuum, in the case of the earth an atmospheric layer polluting the vacuum. As we reach the surface of solid matter, there is an abrupt paucity of vacuum, void remaining only in the interstitial spaces between conglomerate matter, between atomic particles, and at the smaller scale within atomic structures separating electrons from nuclei. So in matter we find an exhibition of defiance against vacuum, the exception that proves the rule. What is the rule? The rule is that vacuum (unfilled void or space) abhors nature, and flows to fill its absence. It is the energy of the flow of vacuum, attracted like water or air to areas of low resistance, that Newton called gravity and Einstein attributed to dimples in space. Newtons magnetic theory and Einsteins space-time curvature are metaphors describing their conclusions regarding a general tendency of matter to move and accelerate towards matter. Gravity is viewed as an attractive force because it impinges upon the observer as a matter of fact. Both Newton and Einstein are substantially correct; the mathematics works for them as indeed it has to for the thesis of this proposition, the difference being that, if one is truly attempting to describe the cosmos objectively, one must not take oneself or ones home planet as being the normal environment or natural condition in space, but rather an aberration of the dominant medium of the cosmos, vacuum.

    It is only by externalizing the observer from the event that he can view it objectively. A river is not a river when viewed from the centre of its action, it is an environment. The logic of the situation demands that, as in biology, one should establish the physiology of normality against which one can then compare departures from the norm. Newtons and Einsteins theories when measured by these standards are upside down. They still work, just as a good thermometer measures cold as efficiently as it measures heat; it is simply calibrated the wrong way since cold is the predominant and therefore normal condition and heat merely a reduction of cold, as an aberration. Logically what we call gravity is antigravity; matter is low-density, denatured (or natured if you prefer) vacuum, and what we call nature is the exception. We tend to think of vacuum as suction. In the world of logical reality we, that matter, are the suckers struggling not to be blown away by the flow of vacuum. That flow is Nirvana from the Sanskrit nir meaning out, and vati meaning it blows.

    Dear Edwin, you write

    "You seem to believe that mathematics is the core reality, and that physical reality is somehow secondary and limited or constrained by mathematical equations."

    It is always interesting for me to see how others 'know' what I 'think'! Nothing unusual about that. I am sure I do exactly the same think to others. It's the reason and the need for a sustained dialog. I am always happy to engage in such.

    Since the issue for you is what I think about 'reality', I'd be happy to try to explain directly.

    I believe that we can only know our 'measurements' of 'what is' and not 'what is'. Though I do not doubt that there is an 'objective reality' ('what is') it's a mute point for me to seek to describe it. The quantity eta in my essay (closest to being 'what is') is left undefined because it is in principle undefinable. Eta does not drop out of a mathematical equation, but it is used to develop mathematical descriptions of what we measure. In my view, all attempts to 'mathematically model' the Universe are flawed and will fail. My work does not involve 'mathematical models' of the Universe. But it does involve math and mathematical reasoning.

    I do not give mathematics the value and importance that you say I do. The failing of physics is in not providing us with physical explanations that make sense. Not for insufficient mathematics. For me, mathematics is only a tool, a language. It can be used for good or for ill. All mathematical statements are conditional. These can never tell us, therefore, 'what is' true.

    In my opinion, mathematics connects us to the Universe through 'measurement' and the mathematical identities that describe the 'interaction of measurement'. That is why I try to make such a 'big deal' of my simple and elegant proof in my essay that shows Planck's Law is an exact mathematical identity that describes the interaction of measurement. This is also the reason why Planck's Law gives such remarkably exact fit to experimental data. Have you checked the link in my last post? It is remarkable! You cannot distinguish the experimental blackbody spectrum from that obtained theoretically from Planck's Formula. Such extreme degree of accuracy can only be the result of a mathematical tautology. That I show Planck's Law is!

    Your C-field that is defined by variations of Maxwell's equations is a 'mathematical model' of the Universe. A better question would be "Why are there Maxwell's equations"? Do you believe Maxwell's equations came from God? It's human hubris to think that God would be so preoccupied! Edwin, I have come to doubt everything! I don't believe in elementary particles and I don't believe in immutable Universal Laws of Nature, ready made to be discovered by men. But I do believe in Mathematics! Just as I deeply and profoundly understand its limitations!

    Constantinos

    James

    I'm happy to give the logical DFM derived view.

    In logic if just one of the initial axioms is imperfect the whole model is false. In the accelerated expansion model there is no continuum (from which particles condense) as this is what Einstein believed he was forced to assume to explain constancy of 'c' (CSL) for all observers in Special Relativity. (SR) In this case the alternative 'tired light' alternative was not adopted.

    However. The need for that assumption is now removed by the DFM. By advances in our brain power we can see (well, ..only some of us so far!) that there is a simple logical answer to CSL via the local speed change at local fields (SR and GR are after all 'Local' theories, as Maxwells.) I point out the well know boundary mechanism of Stokes scattering at the plasmaspheric/ ionospheric shocks and Halos', but our brains must be able to visualise one more dynamic variable that most of us can to understand inertial fields. (Einsteins "infinitely many 'spaces' in relative motion").

    So he was right in saying "Space without ether is unthinkable", and the well know impedence and resistivity of the continuum/ medium/ C Field/Ether/ 'Inter stellar medium or whatever you wish to call it to EM waves does NOT have to be ignored any more. This means certainly SOME of the redshift is due to the medium. Precisely how much we don't yet know (and it'll take 10 years for most to catch up with this at all!).

    There's also the matter of calculation; take a 1ft length of elastic, mark the centre, put one end by your eye and stretch it. Does the end move away faster than the centre? Of course not! And don';t forget how long the light takes to get from the end just to the centre, and the same(ish) again to the eye. Again, with maths, if the initial concept is incorrect the results are nonsense. You must understand z is nor speed, it needs apriory assumption of speed. Anyway, that's less important than the above.

    But the other paper (you read?) gives the other evidence of the process, which is only consistent with a decline in speed! so we can approximate expansion rate more accurately. How are you getting on so far?

    Peter

      Peter,

      Excellent, excellent, excellent. You win the prize as far as I have read so far in all the essays. It isn't just the content, but the sense of zeal you communicate for the subject.

      The one thing I think I have learned from this whole experience in this essay review is how difficult it is to express new thoughts in science. Everything that is ever stated has to be reflected against the work of all the other "pillars" of science in the past. You do a great job of it.

      My personal view of the universe is very simple, but this essay contest has made me realize that science has made everything so complicated that it is impossible to communicate. Damn that tower!

      Pete

      Peter,

      It took me quite a while to find the context of DFM (Discrete Field Model), which was key... I think I am following your conception and don't object to anything so far.

      However, I should explain to you that I refernced the 'z ~ recessional velocity' perspective because it seems to be commonly held by astronomaers. It is my simple view that (short duration SN) light emitted long ago has been independently propagating (coincidentally in our eventual direction) through expanding spacetime as the Milky Way has been receeding away from the approaching light. I recognize this view is also limited, but I think actually more corrct that the astronomers' view that all distant galaxies are receding away from 'us'.

      I also suspect that the universal medium is the field of universal kinetic energy that initially produced spacetime and continues to produce its expansion, that is locally contracted by the potential energy of mass, which is in turn agrregated by that external field of kinetic energy. But I'm still thinking about it...

      I read the second paper (book chapter) some time ago and did not focus on it. Can you please mention what specidfically you're referring to as the 'other evidece of the process'?

      Please continue, further commenting on any misconceptions you may identify.

      Thanks,

      Jim

      Peter,

      It may help you to know that I'm considering the cosmological redshift of light from distant galaxies to be solely the product of the kinetic energy of spacetime expansion, physically, linearly extending the wavelength of light. In this way there is no relative motion involved, but distance is increased.

      Jim

      P.S. Sorry for the poor spelling in the preceding comment...

      Gary

      Thanks for your appreciation.

      As a member of UK sceptics I fully understand your questions;

      1. Time; You have to carefully think through the implications of CSL. They are massive in foundational terms, the constant around which all else is built. E = fLambda only because c = flambda. There is no distance without CSL, so no 'known' solar system or universe. There may be tiny adjustments with frequency, but it's more essential to nature than we realise.

      2. Space; I agree, and have shown it's demise was unnecessary. But although 'continuum' is now the fashionable word it only does this as a 'dis-continuum', more of a dynamic 'block' universe - each in relative motion. Einstein knew and said it was, he just didn't have the plasmasphere evidence we do for what forms the boundaries.

      3. Gravity. The logical conclusions of the above in the DFM derives an unbelievably simple solution to the equivalence of gravitational and inertial mass that gave us GR. The faster a body or particle moves through the condensate the more mass condenses. That's it. no more, no less. OK I lied, it's also obviously proportional to size, and frequency (synchrotronic) is directly proportional to the change in f needed to preserve c and E. Look at heavenly bodies; the Earths plasmasphere reduces dramatically in the evening, when the 'solar wind' stops bashing into it! And look at what happens around particles in accelerators, and also in the pipe at the accelerating magnets. (the plasma is made of photo- or 'virtual' electrons, i.e.ions.

      And what do em waves do when they go through a plasma cloud? diffract, to implement the effects of curved space time, confirming the quantum mechanism for GR. Of course we'll still need something like your gradient in the (dis)continuum to complete the job. This is not new physics its just the best logical fit to the evidence.

      Where did we think matter condensed from anyway!? Now we just need a good word for it. What's the Sanscrit for discontinuum, or 'field'?

      It seems the real problem is not that it's too simple, but that we have been.

      Peter

      Jim

      We crossed in cyberspace (at relative 2 x 'c')! The other paper link is; http://vixra.org/abs/1102.0016

      I don't think astronomers do exactly what you may assume they do, and certainly don't consider us as the centre of the universe, but agree there are other axiomatic starting points. Read the link paper first, it's part of the basis of a full paper just accepted for peer review, but is a bit more hardcore!

      Peter

        Constantinos

        Sorry I'd missed your post! they're a bit thick and fast. Congrats on your good public score, but I refer to the Community ratings, which are the ones that count. click the right hand option at the top of the page for which order to show the essays in. I checked and I had given you your well earned (top) community score earlier.

        Now if you can just help by collaborating and sticking some maths onto mine as well it might be taken note of by the odd physicist!

        But you'd better absolutely fully understand it and it's implications first; http://vixra.org/abs/1102.0016 and let me know of any closer linked relationships between ours, like plasmon diffraction (delay) at various ion densities?

        Best wishes

        Peter

        Peter,

        Thanks, for pointing out my lower-than-yours community rating! This is a surprise to me since in my essay I am presenting some truly radical and significant ideas, all clearly and convincingly argued with mathematical reasoning. The results in my essay have also experimental confirmation!

        In an earlier post I included a link to the COBE cosmic background radiation spectra that shows the experimental data matching EXACTLY the theoretical blackbody spectrum obtained from Planck's Law. The FIRAS data match the curve so exactly, with error uncertainties less than the width of the blackbody curve, that it is impossible to distinguish the data from the theoretical curve.

        My simple and elegant mathematical derivation of Planck's Law CAN ANSWER this remarkable experimental fact. It is the ONLY explanation to this exact fit! I in fact show that Planck's Law is an exact mathematical tautology that describes the interaction of measurement. So clearly, what the 'sensor' is measuring will match EXACTLY what Planck's Law predicts. This goes along well also with your 'locality/reality' principle!

        Peter, I know you have spend great intellectual effort showing why the speed of light is constant for all observers. I am currently working on an amazing simple mathematical proof of this that ties in with my previous results and with de Broglie matter waves! As soon as I have confirmed and double checked the math I will be posting this result. But I wanted you to have the first 'heads up' since this is an interest of yours. It has now also become an interest of mine! Thanks!

        Check the link to the COBE data and let me know your thoughts. I find this fascinating! Anything that has THAT kind of accuracy in Physics MUST be a mathematical tautology! Let that be an intellectual nudge to all the physicists out there that take pride (as rightly they should!) on the high accuracy of their QED results. Are we dealing here with more mathematical tautologies? Edwin, what do you think?

        The Age of Mathematical Modelings of the Universe are OVER!

        Constantinos

          Peter,

          Yes, I might agree, but consider that wikipedia's 'recessional velocity' entry includes the statement: "The recessional velocity of a galaxy is usually calculated from the redshift observed in its emitted electromagnetic radiation. The distance to the galaxy is then estimated using Hubble's Law," and that the referenced Riess, et al. paper repeatedly refers to the distances to observed distant supernovae...

          Your abstract looks very interesting - I will read it. It has previously occurred to me: if the (I agree) 'big whoosh' was spinning/rotating (don't the laws of physics demand it?), perhaps condensing matter was axially aligned, producing no antimatter!

          Similarly to an accelerating universe, I think dark matter was improperly derived. I wrote a short essay last year, "Mass Distribution Characteristics Invalidate the Galaxy Rotation Problem". I'm now working on a refining revision.

          Jim

          Pete

          Thanks again. I think the complexity only comes from lack of knowledge. We have so many layers of patches we've forgotten what simple beauty is. You're right, we're in a forest of pillars.

          I've designed a domed roof to span most of the space so many pillars can be cleared. The problem is it seems physics is truly belief based, and the pillars have been there so long most now believe the sky may fall on their heads if any are removed.

          Are we to become a failed experiment? An irrelevant blink of an eye? Surely it can't be up to one person!!?

          Have you read the recycling instructions yet?

          Peter

          Constantinos

          I confirm my belief that you may be a true genius, but we both have to invest more perspiration yet. It's the implications that matter. Have you read my recycling paper yet?;'Helical CMBR Asymmetry, Pre-Big Bang State, Dark Matter and the Axis of Evil.

          http://vixra.org/abs/1102.0016

          It raises questions about the claims of the implications of the radiation curve, which I always did suspect as including too much propaganda for the Big Bang model. There are some horribly worrying early assumptions which could easily invalidate the whole house of cards. I'm not criticising your mathematical tautology, there are areas I don't yet understand (do help me if you can) and I'm certain there is information of fundamental importance there, but I feel certain the whole truth is far from yet exposed.

          When we look back at similar cases we invariably find our first guesses and assumptions have proved embarrassingly wrong. Do we really believe we can sit back and confidently believe they must not be now?

          I believe your true genius will only be proven and seen by combining the math with a correct picture logically pattern matching more than just one snippet of data.

          Very best wishes

          Peter

            Peter,

            Your "true genius" categories and characterizations are not mine! I simply don't think in those terms. As I also don't think in terms of "good" and "evil", or judge other people. I don't think that any of this is really about me, or you! I love ideas, and I love to reason with ideas. I also have an insatiable need and desire to understand my world in a 'sensible' way. What I show in my essay goes a long way to satisfy this need.

            Point at hand. Have you checked the amazing link showing the indistinguishable match between experimental data and Planck's Law of the blackbody spectrum? Aren't you amazed? And if so, doesn't this beg the question "why so exact?".

            My essay provides just that answer! I show that Planck's Law is a mathematical tautology. There is nothing more accurate in Nature than the assertion that A = A. I also like to suggest for others more knowledgeable that the exceptional accuracy of QED may also be explained in the same fashion. That this also may be concealing mathematical tautologies that result in such exactitude. A mathematical trick of cards, as it were!

            Peter, you write "I feel certain the whole truth is far from yet exposed".

            The Whole Truth is ALWAYS exposed and right in front of us, in our sensible experience. It's our THEORIES that get in our way of seeing it!

            Peter, I believe in 100% inspiration and 0% perspiration. If it doesn't 'make sense', I don't bother!

            Constantinos