Just because a phenomenon is ‘not in the maths’ does it mean that it does not exist?
So you think that - somehow - relativity requires that space splits into multiple bits? That's how you put it.
There's nothing in the maths of the theory of relativity that describes any such "splitting" of space. And since the maths reflects the conceptual content of the theory, I'd say that it's fair to conclude that nothing in the theory describes such a thing happening, either.
Certainly, no book on relativity that I've seen has talked about space splitting into bits every time somebody travels at a high speed, or anything like that.
My question, then, is: why do
you believe this is a consequence of the theory of relativity?
The differences in how time and distance are measured by different observers are not just abstract concepts; they manifest in real experiences and measurements. For example, a moving observer will measure a shorter distance and a longer time between events than a stationary observer.
It depends on your choice of events, but okay. I understand what you're saying.
When frames of reference are discussed in relativity, they are describing how these physical phenomena—length contraction and time dilation—affect measurements based on relative motion.
Well, length contraction and time dilation are
about measurements. They are about observers measuring lengths and time intervals.
The "physical phenomena" (e.g. the length of a spaceship or the time taken for a journey from A to B) differ for different observers, even though they are describing the same spacetime.
It sounds to me like you think that space itself must somehow change, and change differently for different observers - like a physical change in some underlying medium. But space isn't like a solid or a liquid. It's not a physical medium, in that sense. Changes to space and time are observer-dependent effects, not something that happens because a medium is changing. It is the observers who are changing. Do you understand what I'm getting at?
Each observer has a real experience of these effects, influenced by their speed.
Yes. As relativity would put it, different observers assign different spacetime coordinates to the same events in a shared spacetime. Relativity tells us how to translate from one observer to another, in effect.
This being so, it should be obvious that each observer is occupying his own space and time, independent of what other observers might be experiencing.
Not at all. On the contrary, the assumption is that
events are fixed in a shared spacetime. What happens happens. All observers, everywhere and in every state of motion, agree on
what happens. They can only disagree about
where it happened and
when it happened (i.e. they can disagree on the spacetime coordinates they assign to the same event).
In my understanding, this is nothing less than the fracturing of space and time and so cannot be true. i.e., must be false.
I think you have more to learn and you currently have a flawed understanding of the theory. But you've come to the right place to ask questions, if you want to learn more about this.
When considering special relativity one should never forget that it all started as a joke.
I'm not familiar with the "joke" narrative. Where did you get that idea from?
After Michelson & Morley’s null result in detecting the aether.
I don't think Einstein was even aware of M&M when he formulated the Special Theory.
(Remember they (M&M) would still get a null result today when trying to detect Dark Matter, which also allows for the propagation of light with zero interference.)
I don't "remember" that. It's not an idea I'm familiar with. Perhaps you can explain. Is this important?
Physicists, such as Lorentz, Poincare, Fizeau and Fitzgerald to name a few, set about ways to find excuses for why the aether could not be detected. Yes, the aether was so important to these scientists that they set about finding reasons for Michelson & Morley’s null result. Eventually on the point of giving up, Fitzgerald jokingly suggested that maybe the aether was undetectable because distances contracted when in opposition to the aether and so on. The rest of course is history. Lorentz did an idle doodle to give the idea mathematical form and voila! special relativity!
Not quite. There's a reason that Einstein is credited with the theory of relativity and not Lorentz. (And yes, there's also a reason that we have the Lorentz transformations, not the Einstein transformations.)
Einstein is given such great importance because of e = mc2 and the atomic bomb, but surely other scientists such as Poincare and the curies (who gave up their lives during the quest), also played a considerable part in the discovery.
Have you read Einstein's 1905 paper on special relativity?
In summary what was originally a joke turned out to be the corner stone on which modern physics now rests.
Whether or not it started as a joke, 120 years of experimental physics has shown that the theory is correct. That's why it's a cornerstone. It's not a popularity contest.
Any opposition to this joke turned state of the art physics is viewed with the utmost horror. Good luck to modern physics.
It sounds like you're in opposition. Rather than trying argument by ridicule, it might be better if you started to post what you think is wrong with the theory of relativity. Is the maths flawed? Does the theory lack self-consistency? Are the predictions of the theory in conflict with a specific experiment or observation?
If you're crusading for the downfall of the theory of relativity, you'll need to come up with something better than "I don't like it" or "It doesn't feel right to me". So, what have you got?
Having said that, I think Einstein was wrong.
Can you show where he was wrong?
Do you think it's at all possible that there's something about the theory of relativity that
you don't understand well enough?
Have you studied the theory? At what level? Was it a formal course of study, or is this a hobby for you?