Authored by Soumendra Nath Thakur.
Summary:
In various forms of redshift,
including Doppler redshift and gravitational and cosmic redshifts, the observed
wavelength λ(obs) and Δλ is enlarged compared to the rest wavelength λ(rest) or λ₀ of the source. This wavelength enlargement corresponds to a distortion in time,
as wavelength (λ) and period (T) of a wave are inversely related. The
enlargement in wavelength λ(rest) and Δλ corresponds to a change in time period (ΔT) of
the wave.
In the case of time dilation,
relativistic effects such as speed or gravitational potential difference can
cause phase shifts in the frequency of a wave, resulting in infinitesimal loss
of wave energy and corresponding enlargement in the wavelength of the wave. This
wavelength dilation then leads to errors in the reading of clock time.
The relationship between
wavelength and time distortion is expressed as Δλ ∝ ΔT. This means that changes in wavelength correspond
to changes in time. For example, a phase shift of 1455.50° in the wave of an
atomic clock oscillation with a frequency of 9192631770 Hz can result in a time
delay (ΔT) of 38 microseconds per day.
Based on this relationship, it
can be concluded that redshift, which is the enlargement of wavelength, is also
associated with the error in time due to wavelength dilation.
Description:
For electromagnetic waves or
light, there is an inverse relationship between the period (T) and frequency (f)
of a wave, expressed as T = 1/f. and the wavelength (λ) of
a wave is directly proportional to its period, λ ∝ T. The distortions of wavelengths exactly correspond
to time distortions; through the relationship is λ ∝ T., where λ denotes
wavelength and T denotes period of oscillation of the wave.
The relativistic effects, such as
speed or gravitational potential difference, cause phase shift in the frequency
due to infinitesimal loss of wave energy, corresponding to the enlargement in
the wavelength of the wave or light.
Enlargement of wavelength in
various redshifts:
Whereas all forms of redshifts
are the wavelength enlargement. Whereas, observed wavelength of light in
Doppler redshift, or in Gravitational and Cosmic Redshifts enlarged as λ(obs)
or Δλ compared to their respective sources λ(rest) or λ₀. The corresponding formulas for
these redshift are –
- Z = {λ(obs)-λ(rest)}/λ(rest); for
Doppler redshift.
- Z = Δλ/λ₀ and also
- Z = Δλ/λ₀, for Gravitational and
Cosmic redshifts respectively.
Since, the enlargement of
wavelength exactly corresponds to time distortions; through the relationship Δλ ∝ ΔT.
Therefore, for Doppler redshift
wavelength of observed light is λ(obs) that corresponds to time period T(obs) of
the light and for Gravitational and Cosmic redshifts the wavelengths of
observed light is Δλ, those correspond to its time period ΔT..
Enlargement of wavelength in time
dilation:
The relativistic effects, such as
speed or gravitational potential difference, affects the clock mechanism, and
causes phase shift in the frequency due to infinitesimal loss in the wave
energy, and corresponding enlargement in the wavelength of the clock
oscillation, correspondingly results error in the reading of the clock time
through the relationship λ ∝ T.
Since distortions of wavelengths
exactly correspond to time distortions as in the expression Δλ ∝ ΔT.
Whereas, for 1455.50° phase shift
of the wave of atomic clock oscillation having a frequency 9192631770 Hz., the
time shifts (time delay) ΔT = 38 microsecond/day.
The relationship is Δλ ∝ ΔT in all causes of
electromagnetic waves, either in redshift or in time distortion.
Therefore, the scientific conclusion
is that the redshift is the wavelength enlargement that also causes the error
in time as is wavelength dilation.
#PhaseShift #RedShift #GravitationalRedShift #CosmicRedshift #DopplerRedshift #relativisticeffects #wavelengthdilation #eventtime #TimeDilation
