[FOM] Re: Foundations of physics

[Vladik Kreinovich]

Dear Friends, 

Re recent postings: the use of real numbers is not necessary for proving that 
every causality-preserving transformation belong to Poincare group (Lorentz + 
rotations + shifts + scaling). It is sufficient to assume that we have a vector 
space over an ordered field:

  Piet G. Vroegindeweij, Vladik Kreinovich, and Olga Kosheleva.
  "An extension of a theorem of A. D. Alexandrov to a class of partially
  ordered fields,"  Proceedings of the Royal Academy of Science
  of Netherlands,
  1979, Vol. 82(3), Series A, September 21, pp. 363-376. 
  
The properties of an ordered field, in their turn, can be derived from natural 
physical assumptions, as we have shown in the paper that I have already sent to 
the list: 

  Piet G. Vroegindeweij, Vladik Kreinovich, and Olga Kosheleva.
  "From a connected, partially ordered set of events to a field of
  time intervals,"  Foundations of Physics, 1980, Vol. 10, No.
  5/6, pp. 469-484 
  
Vladik