Observations

The following are a number of observations of our distant universe, how TRH is able to potentially account for each of them, and some proposed methods of verification.

Observation 1
Time dilation is observed, the amount of time that an event is observed will increase at higher values of redshift. [cite]

As described in Rule 1 – Constant Number of Oscillations, a wave with a constant number of oscillations will be observed for a longer amount of time with a higher wavelength. A thorough investigation into whether or not the rate of redshift is exactly constant over full frequency spectrum may yield results that explain certain observations of the spectra of supernovae and quasars for example.

Observation 2
At redshifts larger than ~1.5, the apparent size of a galaxy increases with increased distance. [cite]

As described in Rule 2 – Diffraction causes the apparent size to increase at higher redshifts. The rate at which diffraction increases the apparent size outweighs the rate at which the size is decreased due to increased distance.
Some potential ways to verify and quantify TRH would be through more robust computer simulations of the diffraction of waves undergoing the process of redshift. The intricacies of the interaction between diffraction and the frequency profile of the initial wave may also be an avenue for further research. Some rudimentary simulations of diffraction in waves with redshift, have been programmed as a Blender shader and is available in the GitHub repository.

Observation 3
The Cosmic Microwave Background is a near-uniform omnipresent black-body radiation at 2.726K.

As described in Rule 3 – Thermal Equilibrium, light continuously increases in wavelength over time, in a thermal reaction where the equilibrium temperature matches the CMB. Due to diffraction, anything observed at a very high redshift increases in apparent size, and decreases in brightness. This results in an inability to resolve any individual source of light at very high redshift. Once light reaches thermal equilibrium at the CMB wavelength, it remains there indefinitely, resulting in a near-perfect black-body radiation spectrum.

Observation 4
Olbers paradox states that with constant surface brightness, in an infinite universe, the night sky would appear as bright as the sun. [cite]

In TRH, the surface brightness decreases with redshift due to diffraction. Light from the most distant galaxies will appear much larger and less bright, until the wavelength matches that of the CMB.

Observation 5
The speed of light is constant

Since TRH does not require an expanding universe, a clarification in the precise definition of the speed of light is required. Particularly, whether or not the increase in distance traveled due to redshift is included in the constant value ‘c’ or not. This clarification would have little effect on local measurements, but would also be critical to standardizing how distances are measured/calculated with respect to redshift.