Space Geometry effect

Space Geometry effect

In the world is expansion model, one of the most important parameters to determine speed of stars is the frequency they emit and also the change of this frequency due to Doppler Effect. It should be considered that with respect to our planet, speed of light and time-rate changes, as stars are moving outward from the center of universe or moving toward the world center.This frequency extremely depends on the distance to the world center.The emitted energy (light or any other type of energy) frequency from stars could not be a perfect scale for measurement of star distances and speeds. Ignoring the space geometry will make a wrong distance calculations.

 Consider K + U = constant (Sum of Kinetic and Potential energy is constant for any single matter) so

ΔK + ΔU=0

K = h × f ( for photons or any mass m with speed of light )

U = -G × M × m/r (for any particle m at field of gravity of a mass of M at distance R)

h × f1-h × f2 = G × M × m× (1/R2 - 1/R1)

E = m × C2 = h × f1 (Energy of particle at source)

f2=f1 × (1 - G × M/ C2 × (ΔR / R2) )     for small ΔR f1 ≈ f2


It is a formula (in terms of Ls) for frequency change of radiation for any stationary observation points, but if the Observation points are moving, then Doppler Effect will change it either, also if the distance of observed object from the world center is different from the observer distance then time have different speed of change and also light speed differs from point to point. As result it could be said that "frequency observed from any space point from a star or galaxy is a function of mass of that object and geometry of position of that object and position of observer with respect to the world center".