The only consequences of redshift, wavelength dilation and, so called, time dilation, is the phase shift of respective frequencies.

There are three known types of redshifts, - Doppler redshift, gravitational redshift and cosmological redshift.

The corresponding formulas for this redshift are –

•  Z = {λ(obs)-λ(rest)}/λ(rest) ;
•  Z = Δλ/λ₀ and also
•  Z = Δλ/λ₀,

Where,

•  Z denotes the redshift factor which represents the fractional change   in wavelength;
•  λ(obs) represents the observed wavelength of light;
•  λ(rest) represents the rest wavelength of light;
•  Δλ is the change in wavelength of light as observed;
•  λ₀ is the wavelength at the source

We know that gravity interacts with matter and energy. However infinitely small, gravity also interacts with electromagnetism. We also know that the rest energy of matter is affected by gravity; Mechanical stress causes deformation (strain) of matter due to gravitational force. Gravitational forces cause changes in the electromagnetic field of piezoelectric crystals. Electromagnetic fields carry energy, momentum and stresses. A photon expends energy to leave the gravitational well. Gravitational lensing bends the path of light under the influence of gravity.

We also know, the wavelength (λ) of a wave is directly proportional to the time period (T) of the wave (λ∝T), and energy of the wave (E) is directly proportional to the frequency of the wave (E∝f). The time interval for 1° of phase is inversely proportional to the frequency (f). If the frequency of a signal is given by f, then the time t (deg), in seconds, corresponding to 1° of phase is t (deg)  = 1/(360f) = t/360.

The following wave figure-1 represents the corresponding change in frequency energy due to the phase shift of the wave, corresponding to respective wavelength distortions of oscillation.

Fig.-1

The term Red shift can be understood as the wavelength of the electromagnetic wave (light) is stretched or enlarged, so the light is seen as 'shifted' towards the red part of the spectrum. There are at least three kinds of redshifts namely, Doppler redshift, gravitational redshift, and cosmological redshift.

Moreover, relative time emerges from relative frequencies. It is the phase shift in relative frequencies due to infinitesimal loss in wave energy and corresponding enlargement in the wavelengths of oscillations; which occur in any clock between relative locations due to the relativistic effects or difference in gravitational potential; result error in the reading of clock time, which is wrongly presented as time dilation. 

The following wave figure-2 represents time period inversely corresponds to wave frequency. The time interval for 1° of phase is inversely proportional to the frequency (f). If the frequency of a signal is given by f, then the time t (deg), in seconds, corresponding to 1° of phase is t (deg)  = 1/(360f) = t/360. Therefore, a 1° phase shift on a 5 MHz signal corresponds to a time shift of 555 picoseconds (ps), and so on.

Fig.-2.

Conclusion:

Redshifts are the consequence of respective phase shifts of frequencies; corresponding respective wavelength enlargements, and phaseshift also corresponds to, so called, time dilation. Time dilation is rather wavelength dilation.

Reference: http://dx.doi.org/10.13140/RG.2.2.12631.96161

#phaseshift #redshift #wavelengthdilation #timedilation