Monday, May 30, 2022

Time Dilation Due to Velocity

All physical processes, including radioactive decay, slow down for bodies at high speeds. This phenomenon is known as time dilation, or to be exact, time dilation due to velocity.

The phenomenon has been confirmed in laboratories, so a theory of physics cannot be considered complete without an explanation for this.

Einstein explains the phenomenon in his theory of relativity. His explanation relies solely on geometry and the assumption that the speed of light is constant everywhere. It's an elegant solution, and his formula is simple:

observed time = local time/(1-v^2/c^2)^½

where observed time is what a stationary observer measures as he observes a physical process local to the moving body.

Measurements made in laboratories confirm Einstein's formula, so a competing theory will have to produce a formula that's either identical or sufficiently close to avoid being dismissed outright. However, this is no reason to shy away from such a task. It's merely a criteria to strive for in our search for alternatives.

There are plenty of smart people that have issues with Einstein's solutions. Miles Mathis is one such person. He has written extensively about this in his work. However, my project is not so much to disprove other people's work as it is an attempt to break the notion that there is no alternative to currently accepted dogma. I'll leave it to people like Miles Mathis to do the criticism. My focus remains on my theory as an example of an alternative.

When it comes to time dilation due to velocity, I boil it down to relative speeds of particles in the aether. Physical processes slow down when things speed up because the aether within speeding objects slows down in proportion to their velocity.

This yields the following equation for time dilation:

observed time = local time/(1-v/c)

This is close enough to Einstein's equation to allow it to stand for now. However, the discrepancy indicate that some detail is missing in the way I arrive at my equation. The issue may be that energy is distributed along the curved surface of particles, while velocity acts in a straight line. My derivation ignores this distinction. I treat both velocity and energy distribution as linear.

Photon traversing an electron
Photon traversing an electron

The curvature of particles may have to be incorporated into my derivation in order to get a better fit with measured results. However, that's a complicated procedure that I'll leave for later. I'll let my function stand for now.

Here's how I arrived at it from the premises of my theory:


Observed time = To
Local time = Tl
Speed of aether for the observer = c
Speed of moving body = v
Speed of local aether in moving body = c - v

Observed time and local time are related to the aether as follows:

To/Tl = c/(c-v)

From this, we get:

To = Tl c/(c-v)

To = Tl/(1-v/c)

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