Dear Yuri,
Looking back upon so many posts, I am not entirely disappointed. Joy Christian addressed in arXiv:gr-qc/0308028 (1) and in arXiv:gr-qc/0610049v2 (2) what I consider a foundational deficit of established physical theories: Special relativity is based on the Parmenidean anticipatory view. While Joy Christian tried to combine the perhaps correct alternative Heraclitean view with SR by means of additional dimensions, I consider my approach more natural, more radical, and immediately related to the question of what is real. My argument is simple: Because future cannot be measured it does not deserve the attribute real. Fig. 2 in (2) illustrates my concern. Any continuation of a worldline into the non-existent future is necessarily more or less subject to unrealistic ambiguity except for theorists who do not see reality but only their playground.
My gut feeling says to me that mathematics is at risk to loose contact to physical reality if it strives for getting more and more generalized. I recall some reasonable limitations:
- There is no negative distance, no negative elapsed time, no negative absolute temperature, etc.
- While integration can endlessly be repeated, differentiation of a ramp function yields a step function, and differentiation of the latter yields the already fictional singular point. The theory of distributions by Laurent Schwartz has been fruitless so far.
- While there are electrical monopoles, magnetic monopoles were not found.
- There are limitations to the maximal front velocities of sound waves as well as of electromagnetic waves.
- As long as Higgs bosons were not found, the standard model is questionable.
- A cylindrical waveguide cannot transmit transversal modes below cutoff frequency.
Please forgive me if I admit that I did not yet understand how long is the third side in a triangle with two sides each of Planck length adjacent to a right angle.
As soon as I have time for that I will resume further checking arguments by Thomas Ray and others concerning SR and Lorentz local time.
Regards,
Eckard
