Authored by Soumendra Nath Thakur. Author ORCID: 0000-0003-1871-7803
Author's Conclusion: T(deg) = z * 360.
The phase shift T(deg) is a measure of the change in phase of a wave, often caused by factors such as motion or gravitational effects. It is typically measured in degrees.
The gravitational/cosmic redshift (z) represents the change in wavelength or frequency of a wave due to gravitational or cosmological effects. It is a dimensionless quantity.
The relationship T(deg) = z * 360 indicates that the phase shift in degrees T(deg) is directly proportional to the gravitational/cosmic redshift (z) multiplied by 360.
This means that for a given redshift value, the corresponding phase shift will be proportional to that value multiplied by 360.
Phase shift: Phase shift represents the displacement or shift in the phase of a wave. It occurs when a wave encounters a change in its medium or when the observer or source is in motion. Phase shift is related to the relative frequencies of the waves involved.
Redshift: Redshift refers to the phenomenon where the observed wavelength of light or any other wave is larger (shifted towards the red end of the spectrum) compared to the rest wavelength of the source. It indicates the stretching of the wavelength due to various factors such as relative motion or gravitational effects.
Example: T(deg)
Equation given by: ΔΦ = Δω × Δt.
The time interval T(deg) for 1° of phase is inversely proportional to the frequency (f). We get a wave corresponding to the time shift.
- 1° phase shift = T/360; T = 1/f.
- 1° phase shift = T/360 = (1/f)/360.
A wave frequency = 5 Mhz. we get the phase shift (in degree°) corresponding time shift.
1° phase shift on a 5 MHz wave = (1/5000000)/360 = 5.55 x 10ˉ¹º = 555 ps. Corresponds to a time shift of 555 picoseconds.
Therefore, for 1° phase shift for a wave having a frequency 5 MHz. and so wavelength 59.95 m, the time shift Δt is 555 ps.
