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This enigmatic question is obviously based on some hypothesis in your imagination.In what ways can light change its (wave?)length?
In what ways can space change its length?
When we are considering different frames of reference with each separate frame containing masses travelling at different velocities then the scale of the coordinate system in each one is different from all the others. This is why we need to use Lorentz transformations. Now in each moving frame the scales of distance and time relate to the speed of light in that particular frame. It gets complicated.
You can only express the path of light in terms of displacements in distance and time. So you need the path integral if you wish to think of light as having a length....sorry, you cannot view external links. To see them, please
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Doesn't science define distance/length by the length of light and not the length of space?
How can a change in a length of light affect the length of space?
The metre is defined as the distance travelled by light in 1/299 792 458 of a second. The phrase "length of light" is meaningless.
Yards are defined by the length of the arm of King Edward V. Yards continue to exist in the absence of royalty.
Your diagrams are beautiful examples of Constructivist art, but somehow lacking in any obvious message.