1. Time dilation represents the difference in elapsed time measured by two clocks under relativistic effects. Time dilation due to relative velocity is based on the Doppler shift, which is the change in frequency of a wave relative to the motion of an observer relative to the wave source, the equation is t' = t/√(1 - v²/c²). And the gravitational time dilation between two events measured by observers located at different distances from the gravitational mass, the equation is T' = T/√1−2GM/rc².
2. Experiments made in electronic laboratories on piezoelectric crystal oscillators show that the wave corresponds to time shift due to relativistic effects.
Gravity exerts a mechanical force on any object that deforms the object and pushes on the surrounding atoms. G-forces cause internal particles of matter to interact, resulting in stresses and deformation (strain). Using gravity, energy is obtained by the so-called piezo-method, which converts mechanical stress into electrical energy. Piezoelectric gravity devices can generate energy anywhere.
We get the wavelength π of a wave is directly proportional to the time period T of the wave, that is π ∝ π, Time is called π, the period of oscillation. The reciprocal of the period, or the frequency π, in oscillations per second, is given by the expression π = 1/π = π/2π = πΈ/β = π£/π. Where h is Planck constant, π, π£, π, π and πΈ respectively represent frequency, velocity, wavelength, time period and Energy of the wave.
Whereas the time interval π(πππ) for 1° of phase is inversely proportional to the frequency (π). We get a wave corresponding to the time shift. For example, 1° phase shift on a 5 MHz wave corresponds to a time shift of 555 picoseconds (ps).
We know, 1° phase shift = π/360. As π = 1/π, 1° phase shift = π/360 = (1/π)/360. For a wave of frequency π = 5 ππ»π§, we get the phase shift (in degree°) = (1/5000000)/360 = 5.55 π₯ 10Λ¹ΒΊ = 555 ππ
Therefore, for 1° phase shift for a wave having a frequency π = 5 ππ»π§, and so wavelength π = 59.95 π, the time shift (time delay) π₯π‘ = 555 ππ (approx.)
Time shift of the caesium-133 atomic clock in the GPS satellite: The GPS satellites orbit at an altitude of about 20,000 km. with a time delay of about 38 microseconds per day. For 1455.5° phase shift (or, 4.04 cycles) of a 9192631770 Hz wave; time shifts (time delays) π₯π‘ = 0.0000004398148148148148 πs approx) or, 38 microsecond time is taken per day.
From the above, we concluded that the phase shifts of frequency due to gravitational potential differences or relativistic effects correspond to dilation of wavelengths of the clock oscillation, which show errors in the clock reading and are misrepresented as time dilation. Time dilation is actually wavelength dilation.
Foundations:
1. When mechanical stress is applied to a piezoelectric crystal, the structure of the crystal is deformed, the atoms push around and the crystal conducts an electric current. The mechanical stress of a piezoelectric crystal is greatest in the ground state. In the case of a gravitational potential difference, there is less gravitational stress on a piezoelectric crystal, which correspondingly reverses the deformation of the structure, thereby pushing the atoms around, causing the crystal to conduct less electric current than in the ground state.
2. Effect of phase shift on relative frequencies versus time: The instantaneous phase (Ο) represents an angular shift between two relative sine waves and is measured in degrees. A sine wave and a cosine wave are 90° out of phase with each other. After a time Ξt, the two relative sine waves are initially synchronized in phase but differ in frequency by ΞΟ degrees per second, developing a differential total phase shift (ΞΞ¦). Eq. Given by: ΞΞ¦ = ΞΟ × Ξt.
3. Time distortion always arises from frequency phase shift and corresponding wavelength distortion but relativistic time dilation cannot be understood from frequency phase shift and corresponding wavelength distortion and therefore they do not follow the general rule. Relativistic time dilation failed to identify any cause of time distortion. Whereas, a combination of general wave equation and Planck's equation, has been able to successfully identify that there is an influence factor of distorted frequency due to relativistic effects. The distorted frequencies in the equation provide a relative value of time for the corresponding wavelength distortions. The phase is shifted in frequency and the corresponding wavelength distortion exactly matches the time distortion as in the expression Ξ» ∝T.
4. Due to relativistic effects, phase shift in frequencies distort wavelength. So wavelength is not invariant but we know time is invariant and as per Lorentz transformation too. The equation of time dilation due to relativistic speed, attempts to modify time t through the influence of velocity v. This is illegal operation in mathematics, as none can modify invariant t with the effect of velocity v or speed. So called time dilation is relativistic error and not change in T, in order to get time dilation t'.
Reference: Relativistic effects on phaseshift in frequencies invalidate time dilation II.
