Dear Sergey,
I responded to your comments and queries about my essay
http://fqxi.org/community/forum/topic/1549 under your post (in my space). I understand you may not find the time to scan all 300 essays to see whether there are posts addressed to you. So I am cutting and pasting my earlier response here. I would like a reply to it.
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Dear Sergey,
Thanks for the post and for showing the typo. Apart from that the diagrams have lost parts and will have to request FQXi to insert the correct one.
I will address the matters you have raised on an itemized basis.
1. Centrifugal Force. "field energy that has flown into the system ...... source of the centrifugal force. Then .... energy of the system must be rise all the time?"
Your argument implies that the exertion of the centrifugal force expends energy continuously and this would require a continuous supply of energy (Aristotlean idea). Well if this is the case, energy of the system will be at a steady level all the time and it will not be a case of a continuous increase of the energy of the system.
2. "your explanation of the cause of slowing down of internal processes for bodies in motion is only an interpretation of motion with the help of Lorentz transformations".
a) As you know Lorentz transformation (LT) is: x' = (x- ut)/(1- u2/c2)1/2. The term u in SRT stands for the velocity of the moving frame. There is nothing in my explanation of slowing down of internal process that involves the u-term.
b) Or are you referring to the Lorentz contraction (LC) - x' = x/(1 - v2/c2)1/2? Here as you know v is the velocity of the particle (or the body or Michelson's apparatus) and not the moving frame.
c) I hope you realize that the Gamma-factor in LT is entirely different to that in LC?
c) I assume you mean Lorentz contraction. My explanation is certainly not an interpretation of the Lorentz contraction. You seem to forget, that the (LC) was suggested in desperation to find an answer for Michelson's experiment (MMX), where Lorentz specifically said that the contraction is IN THE DIRECTION OF MOTION. My explanation has not connection to the direction of motion.
d) In Fig. 1C I show that two quantities of energy fuse to form a system by both quantities lose fractions of energy in equal proportions (1- 1/). The slow down is a direct result of this lost fraction of energy. This has no connection to a change of length in the direction of motion (LC).
3. "In their turn the Lorentz transformations are result of axioms of SRT".
How can that be? Einstein has clearly stated that the two basic axioms of SRT are in contradiction and this gets resolved by POSTULATING Lorentz transformations. Actually LT is the third axiom and nothing more.
4. "But the constancy of light speed is conventional axiom which is the result of spacetime measurements by electromagnetic waves only. In other words if we change spacetime measurements or take another waves and their speed we will find another value of slowing down of internal processes and other effects of relativity".
The value c in the expressions of natural processes appeared for the first time in Biot-Savart's law. And Weber and Kohlrausch in 1856 made a measurement of this and they found it to have the SAME VALUE as the speed of light. The value c appears in expressions of interactions of energy not because light plays a role in all these interactions. All energy has the generic formula mc2, and that is why c appears in the expressions of interaction of energy. Since light is also a form of energy it too has the same value c in it. What is unique is that photons is the form of energy which can move with a velocity equal to c. Matter particle's cannot. Unfortunately my Fig. 1B has not come out properly. Otherwise I could have demonstrated why matter particles cannot reach the velocity c.
5. "In your GDE Transformation there is only transformation of sizes. How about transformation of time?"
This is a very good point which will enable GDE transformation to be verified by experiment. Thanks.
a) Let us take the case of the muon in motion which Feynman talks about (ref 8 of my paper). If one were to measure its displacement, do you agree that it should conform to LT - x' = (x- ut)/(1- u2/c2)1/2?
b) Then how come the time change is not given by LT of time t' = t(1- xu/c)/(1- u2/c2)1/2 but by t" =?. As I have shown the time change is proportional to the fraction of energy lost.
d) There will be a small time change in relation to the LT too. Here there is an influx of energy from the field, and increase of a fraction of energy. Accordingly the time of the muon will be
T = [t.(1- u2/c2)1/2]/(1- v2/c2)1/2
Best regards,
Viraj