25 December 2021

A question in wavelength of photon having no mass:

Some Micha Markovic questioned, "when I think of light it helps me to think of it as either wavelength or particle but never both at the same time. I see Hubble red-shift as wavelength, like a spring that is getting stretched out due to inflation of space. Now what happens to photons in the same scenario? They probably loose context and get further apart thus lowering their combined energy as perceived by stationary objects. Never thought of this much because I mostly think of light as wavelength."

Replied -
Micha Markovic Everything in this universe, irrespective in the energy forms or matter forms, are considered as vibration or frequency. Each atoms in our body consonantly vibrating, energy is ultimately a manifestation of vibration.

The famous equation E = mc² is a mass - energy equivalence equation. Planck's equation E= hf= h*c/λ represents energy-frequency equivalence.

So irrespective of 'energy form' or 'material form,' each and every real entities in the universe are actually manifestation of vibration (frequency).

A mechanical clock, or crystal clock or atomic clock - all of them consisting of oscillators - built with materials having vibrating atoms, all these atoms and materials subject to influence by gravity as well as external energy and their vibrations change according to the external force applied on them, all form of clocks subject to influence by the gravity - known as mechanical stress due to gravitational force, cause wavelength change - enlargement when gravity is less..

Sound waves, are mechanical waves, its frequency between 20Hz and 20KHz, and its wavelength is between 17 m and 17 mm, travels at the speed of 343 m/s. Sound waves carry a small amount of mass with them as they travel.The kinetic energy of the moving material particle E = (mv²)/2 Joules, where its potential energy=0. They always travel as mechanical waves.

The wavelength (λ) of that mass-energy wave is directly proportional to the time period (T) of the wave derives the equation λ∝T, we get the wave corresponds to time shift, e.g. 1° phase shift on a 5 MHz wave corresponds to a time shift of 555 picoseconds. 
  • t=1/f.
    f = 5000000 Hz; 1° phase shift = t/360.
    t (deg) = (1/f)/360 = (1/5000000)/360
    = (5.55x10^-10) = 555 Picosecond.
This, one can experimentally observe in an electronic laboratory while measuring gravitational effect on piezoelectric crystals. This is called wavelength dilation - when gravitational effect is less.

Whereas, a photon itself is a vibrating, energetic particle; also behaves like wave, much more flexible to gravitational influence, so its influence through gravity is more, this causes red shift of the photon's oscillation - when out of a gravitational well, undisputed.