- #1
Myslius
- 120
- 5
Explain the difference between distances.
Red lines indicating light travel path. Green lines indicating distance.
Why there is length difference between green lines?
In this diagram object moves at 0.8c away from the observer in t FOR.
How far away observer in t' FOR sees an object (t FOR) when t'=3?
Which green line indicates luminosity distance? I know that luminosity distance should be measured by the bottom green line. But... If the object moves away from us and we emit light for example when t=1 (in this diagram), the number of photons hitting the moving observer (t') should be proportional to the green line above by R^-2 law, because it takes time for light to catch moving observer (t'). Also, luminosity distance should not depend on 3+1 rotation (velocity) at the moment when light hits it (ignoring redshift), moving observer can change his rotation just before light hits him (at t=2.9999), for example making relative velocity v=0.
Here's a similar diagram where t' makes a rotation just before light hits him:
speed is 0.6c in this case, and rotation just before t'=2.
At t'=2, t' observer sees t 1.5 away and t=1 :) FTL, none the less.
If we take that luminosity distance is not a green line below, but a green line above we get following formulas:
Which is really close to what we see with the universe expansion.
No configurable parameters, except time which is unavoidable. Static universe, relativistic motion. Also it explains few phenomenas how some objects (like quasars) become so big so fast. t_observed is always equal to t/(z+1) in relativistic motion.
Strangely enough, the ratio between two green lines is the change of scale factor or = (z+1)=√((1+β)/(1-β))
Red lines indicating light travel path. Green lines indicating distance.
Why there is length difference between green lines?
In this diagram object moves at 0.8c away from the observer in t FOR.
How far away observer in t' FOR sees an object (t FOR) when t'=3?
Which green line indicates luminosity distance? I know that luminosity distance should be measured by the bottom green line. But... If the object moves away from us and we emit light for example when t=1 (in this diagram), the number of photons hitting the moving observer (t') should be proportional to the green line above by R^-2 law, because it takes time for light to catch moving observer (t'). Also, luminosity distance should not depend on 3+1 rotation (velocity) at the moment when light hits it (ignoring redshift), moving observer can change his rotation just before light hits him (at t=2.9999), for example making relative velocity v=0.
Here's a similar diagram where t' makes a rotation just before light hits him:
speed is 0.6c in this case, and rotation just before t'=2.
At t'=2, t' observer sees t 1.5 away and t=1 :) FTL, none the less.
If we take that luminosity distance is not a green line below, but a green line above we get following formulas:
Which is really close to what we see with the universe expansion.
No configurable parameters, except time which is unavoidable. Static universe, relativistic motion. Also it explains few phenomenas how some objects (like quasars) become so big so fast. t_observed is always equal to t/(z+1) in relativistic motion.
Strangely enough, the ratio between two green lines is the change of scale factor or = (z+1)=√((1+β)/(1-β))
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