I try still with some paragraphs. Where are the main grammar errors? But I hope that all the article will be published on Physics Forums on independent research; and not only there.
A connection between matter and space-time
A remark is possible that we see larger mass inside the rocket, but from the rocket they see us that we have larger mass. Therefore it seems that increasing of mass is not realistic. But, this is exactly the same problem as in the common Lorentz equations, where relations for time show the same paradox. But, SR is a correct theory, and both the common interpretation of SR and the interpretation with
mr are correct. In short, it is not incorrect that relation mass-time is a one-way one. It is important that the introduction of
mr explains dilatation of time and connection between matter and time. It is not necessarily to look at the same time from two inertial systems, but it is enough to look at once from one inertial system and another time from another inertial system.
This slower speed of time with increasing of
mr can also be generalized out of SR to big and small elementary particles. If a human body was made from the same particles, but 1000 times lighter ones, the speed of time would seem to us much smaller than now. Hence one second would seem very long. This example is not relative, because it gives the same result from both observers.
This can be generalized still further. A fly feels a longer second than an elephant, because of smaller mass of the fly brain the brain processes are faster. Although particles are not smaller, this also can be an analogy for reduction of the ''mass''. Another example from biology is a cold lizard or a warm one. For the first one a second seems shorter. Therefore various examples of different time flows have a very similar key foundation, this is the momentum or movement.
We know from the common interpretation of SR that rest matter cannot be accelerated to
v=c. It can only be approached to this speed. But, anywhere close to
c this matter is moving, always we can find an inertial system, where this matter is at rest. The speed of a photon equals $c$. We cannot find an inertial system where it is at rest. Time flows where rest matter exists, but time does not flow for a photon. Therefore rest matter defines that time flows; hence that time is dependent of rest matter.
Interpretation of SR with
mr tells us still more. It tells us that speed of time is dependent from largeness of mass. Therefore this is another clarification that space-time does not exist without rest matter. Hence, this is a simplified explanation of what it is shown with general covariance [1,page 847].
Hence formally, one time is really attributed to every point of space, but truly time flows only if rest matter is present, or differently said, that matter is a reference for this space-time. Therefore space-time without rest matter does not exist.
But one detail should be clarified still. Seemingly, time flows for a photon
- because it has some frequency,
- if it is calculated for rest matter that time does not flow at v=c, this does
not mean automatically that time does not flow for a photon. Precisely said, it means only that time does not flow for rest matter if it is accelerated to v=c. And, of course, it never reaches this speed.
Indeed, frequency of a photon is dependent from rest matter, or from inertial system, where this matter is at rest. But, privileged inertial system does not exist. Therefore rest matter cannot be ignored where the existence of photons is mentioned. Thus, photons exist because of rest matter. It is similarly in general relativity, where it is claimed that gravitational waves exist independently of matter. But indirectly they are connected with matter.