Special Relativity is expressed differently.

Jan 2, 2024
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Special relativity can be expressed by a circle with a vertical axis and a horizontal axis passing through the circle's origin.

If the vertical shows time where the origin is zero and the horizontal is distance then the radius at any position describes all possible compromises for speed. The vertical overlayed by radius shows a stationary object (time only). Likewise, the horizontal overlayed by the radius (the radius is horizontal) describes light (no time).

All positions other than vertical and horizontal describe possible speeds and using Pythagoras gives the time dilation and distance dilation. Do this by referencing the intersection of radius and circumference read off against the vertical Time and the Horizontal Distance.

This setup might also suggest spatial expansion. For each time period (light seconds and seconds say) a given distance (space) is produced. Given this situation, the diagram can depict the age of the universe (the vertical) and its size + roughly its shape (the horizontal diameter).

For any galaxy situated at the circle boundary (the “Now”), if it has had no spatial speed, the time recorded is an absolute value for the universe. A galaxy would almost certainly have spatial speed and therefore record a different time.

And so on perhaps even describing the spacetime interval.

Crumbs the sun is out and I have to drive … it’ll have to do without tarting up