02 July 2021

Time Dilation - Relative time Vs. Absolute time

Time dilation is the phenomenon of time passing slower for an observer who is moving relative to another observer, the faster one travels the slower he experiences time.

Now considering an experiment that used two identical crystal oscillator electronic clocks, set exactly to the same time, one clock stayed on Earth, while the other flew in an airplane. The crystal oscillators has much better frequency stability, such oscillator circuits sustain oscillation by taking voltage signal from the quartz resonators. 

We know that a photon represents a quantum of light or other electromagnetic radiation and its energy is directly proportional to its frequency - this equation is known as the Planck-Einstein relation, whereas the energy of a photon is given by the equation E=hv, where v=frequency (Hz) and h=6.62607554 x 10^-34 J·s (the best current value). Moreover, in general relativity Gravitational red-shift (also known as Einstein shift), is the phenomenon in which electromagnetic waves or photons travelling out of a gravitational well will lose energy resulting the photon's longer wavelength, affecting by gravity.

Similarly, gravity will apply a mechanical stress to the crystal by affecting its frequency - hence longer wavelength, so the clock on the fast moving airplane will be slightly behind the clock on the ground. Such difference in the elapsed time is due to the mechanical stress to the crystal causing a relative time, and not absolute time, is what time actually is, ticking at a constant rate for the entire universe and everything in it.

If the mechanical stress to the crystal (which is not due to the own reason of time rather affected by gravity) is corrected then the clock on the fast moving airplane too will be exactly as per the clock on the ground.

Note: What actually happened in the experiment as can be seen in the relationship λ∝T. The experiment actually considered dilated wavelength and not dilated time. If the experiment is considered that it observed dilation of time then it will violate fundamental properties of time. It rather miscalculated T instead of λ, because by appropriately changing either of the value of λ or even the value of T, one will get same result. But the illegality would be considering T as gravity affected factor instead of appropriately considering λ as the gravity affecting factor. A λ can be influence by gravity and change its wavelength but none can change T with the effect of  gravity as time is not something changeable by any external influence or interaction unless such changes is in the structure of the events itself, then only time comes into a relative consideration with the changeable events. Time does not participate in any eventual act rather time tracks changes in the events. So a question of changing time is not only absurd but is illegal too as per valid definition and properties of time. Time dilation necessarily needs to be wavelength dilation, when λ∝T comes in to the consideration.

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