Theory page: Light & the Universe

Speed of light in vacuum is considered a universal constant, but, astronomically seen, there is only local proof for that. Then, if it would depend on space and/or time, it can be proven that this dependency will be expressed as:

‾c = (‾γ − ‾r) / (T₀ + t)
where ‾c is light speed vector, ‾r is space coordinate, t is time coordinate and ‾γ, T₀ are constants.

Constant light speed is incorporated in this solution too, where both ‾γ and T₀ approach infinity simultaneously.

If not constant, there are consequences in particular for long-distance physics, including status and history and future of the universe. But there are also local implications namely for our role as observer. A first but very basically derived consequence for cosmological red shift is in Appendix H below.

A paper is in preparation but you can order the draft if you are interested. Details in the paper are worked out in appendices, a list following in order of reference in the paper.

App	Description	Link
C	Constraints for light velocity c
B	Basic time transformations
R	Reflected photon time relation
D	Displacement transformations
F	Force-free movement solution
M	Moving system basic time transformations
T	Time transformation for moving system
X	X,Y transformation for moving system
S	Symmetry in transformations
V	Validations of the solutions
H	Reconsidering the Hubble relation