Notice that length contractions not is a consequence of SR or GR, it is a consequence of the Lorentz equation
Length contraction was known in the late 1800.
I'm quite familiar with the history of that transformation. It actually wasn't in its current form until the French mathematician Jules Henri Poincaré in 1905. He just named it after Lorentz.
So Einstein begun to speculate and constructed a theory based on the already known mysterious Lorenz Equations, .
The fact is that the so called "curvature of space" aspect is never proven to be correct,. It was and is still nothing but speculation. – I am not saying this to provoke anybody, but only because this is a fact.
Don't suppose your speculations for that of Einstein and the proof of curved space-time is in the successful application of the mathematical models.
The curvature of space concept is only an attempt to try to solve mysterious consequences of Lorentz equation. Nothing more than this
You are confused the Lorentz equation is linear, the space-time that results (Minkowski space) is not curved.
I think you are unaware of the fact that time dilation also already was a consequence of the Lorenz equation, even before the theory of relativity.
Evidently you are just unaware of the difference between SR and GR.
Einstein believed his speculation could explain what really happen – in the real world – to achieve that he invented, - the so-called, - "curvature space".
He combined the 2 already known distance and time dilemma and invented “space-time”..
No, Minkowski "invented" space-time. However, since it only dealt with SR (inertial frames) and the Lorentz equation the resulting Minkowski space is a flat space-time metric. It is GR dealing also with non-inertial (accelerating) reference frames that results in a curved space-time metric.
Again... the distortion of time and distance was known 25 years before his theory, therefore Einstein did not have any kind of patent, trying to explain this fact.
So what, building on the developments of others is how science advances.
Maxwell's equations were around before that and that's what Lorentz himself was trying to build upon. You really do need to study.
Dear dear dear “The man” – and other man and beast,........ a stretching space theory is also build on the Lorentz equation, and also build on the same time-distance distortion, - it also include length contraction, and time dilation.
Again based on the first value (your R0) in your chart, a Schwarzschild radius, it is also "built" on a curved space-time metric, oh dear!
The only difference is only WHAT SPACE REALLY DOES
The
consequences based on a modified theory of relativity (MTR) based on
stretching space, - compared to the and the well-known curvature concept is….. that MTR....
- Is logic digestible, especially for unspoiled students.
- It build on a NONE schizophrenic and therefore none insane worldview.
- It is not causing any HUGE conflict with quantum physic,
- It is not causing problems with other aspect of science such as so called black holes.
- It is not claiming that gravitational lensing; MUST exist (which now is denied by a high ranging NASA astrophysicist that claims such is never detected.
- It allow a simple and natural explanation, what dark energy really is, - just the opposite, - release of stretching space.
- It even explains why so called dark energy (release of gravity) is “”accelerating””
- It makes it possible to connect space to the strong nuclear interaction.
- It makes it possible to understand gravity as a side effect of the strong force and therefore united
- It can explain the perihelion anomaly only based on Newtonian classic physic.
- It reveals that NASA have swept the pioneer anomaly under the blanket.
- It clear and simple explain why space probes are accelerating when approaching close to the Earth
- It can predict a SR – ISS test anomaly
- It can predict and prove that Dark Flow is true.
- And my friend it opens the universe to you in many many other ways, you and many fools are not willing to understand for no reason compared to the HUGE amount of problems connected to the prevailing understanding..
Your dreams of what you would like your notions to do are irrelevant, what they actually do is a function (pun intended) of the math. Which evidently doesn't do what you want it to do as even you don't use your own equations and their results.