Peter.
I will reply to your post here under your thread, in two parts. This is part I.
You wrote about my essay: http://fqxi.org/community/forum/topic/1549
"Viraj, We agree about the inherent foundational errors and seemingly most other things. Perhaps we view the world similarly, ....... Super essay, I agree with almost all, and a good score coming. I felt while reading that I could almost have written it myself, but probably not as clearly. ...... I decided a while ago that we need "to find ways to explain these phenomena as in terms of states of changes of energy."
I hope what you wrote is your genuine and sincere opinion about my essay.
But something that I am non-plussed about is that if your essay and mine are so similar in content, how is it that your essay is in about the 15th position in Community rating and mine is at around the miserable 140th position and keeps going down whenever someone hints at giving it a high score? It so happens as a rule, hints of mutual back-scratchings always end up in backstabs!!! I am in this competition not to play such games.
I wonder whether your 'play' is about fact or fiction. Certainly it seems the Act 1 (in your essay) is based on some whimsical fiction - that the frequency f is a derivative of distance and speed; and lamda is a primary entity. This whimsical notion about the frequency befits more about playing "Hamlet without the Prince of Denmark" than 'Much Ado about Nothing' for the following reason.
In a photon the general formula for its energy E = mc2 takes the form hf. So f has to be fundamental. Also frequency f and wavelength L (lamda) are variables such that f x L = c . This is similar to the conjugate variation of pressure and volume under Boyle's law.
On the other hand h although outwardly appears as an immutable constant, it has its own internal composition where h = mcL and these components m,c, L, vary against each other while maintaining their product constant at h as follows.
(1) When there is a change of medium or a change of gravitational potential, c changes to c', conjugately varying with m (to m') while L remains constant and f changes to f' so that f' x L = c'.
In the case of a change over to a medium of a higher refractive index, since c' less than c, m' is greater than m., and f' is less than f.
Since hf' is less than hf, this implies that the photon has lost the fraction of energy h(f-f') to the field. When it emerges back in the original medium, the process is reversed and attains the value for its energy E = hf by influx of the fraction of energy h(f - f') from the field.
(2) When moving within a given medium, and when the photon confronts a constraint, the internal composition of h = mcL changes in a different manner. In this case mass m and lamda L vary conjugately to m' and L' while the linear velocity c remains constant.
At the same time f and L also vary conjugately such the f x L = f' x L' = c. When energy is in the mode of photon, unlike a fermion, it responds to constraints (within a given medium) by changes of frequency INSTEAD of changes of linear velocity. In a Doppler shift, when the receiver has a velocity -v relative to the photon, the relative velocity of the photon does not become
c-v, INSTEAD its frequency directly changes to f' = f(c-v)/c. In such a case since f' is less than f, L' is greater than L, and in turn m' is less than m. This means hf' is less than hf, which can only happen by losing the fraction of energy h(f- f') to the field.
THIS IS HOW THE VELOCITY OF LIGHT C', REMAINS CONSTANT LOCALLY, IN A GIVEN MEDIUM OR AT A GIVEN GAVITATIONAL POTENTIAL.
The whole constipated situation about the constancy of the velocity of light has been because both proponents and opponents of SRT have taken up a kinematic standpoint instead of a dynamics one. And in addition SRT cannot offer the above solution because it starts by shooting itself in the foot, by postulating that a photon has no mass (when what it does not have is the property of inertia).
Best regards,
Viraj