In the standing still frame, links that link local environments (such as cells or dominoes) to neighboring local environments of the same moment, are changed to different links, when being in the moving frame. In fact that's all there is to SR, changing links between the domino's of spacetime.
In the x-t diagram (the spacetime diagram), when accelerating, the angle of the space axis, the row of now moments, tilts. Imagine driving a car along a straight road (the space axis) and imagine the time axis upward directed, from you to the zenith. When accelerating, the tilting of the space axis then is like the engine bonnet of the front of your car coming up, blinding sight.
There is a clue to the angle of the tilt. The tilt is such that the speed of light remains a constant, c = 3 * 10^8 m/s. The Lorentz transformations are derived using this clue.
But it appears to me that it still needs a force to tilt the angle. Changing velocity, changing frame of reference, needs a force, according to the laws of Newton. That force turns out not only to change velocity, it also tilts the axes of space and time, as it is observed from the outside, unaccelerated frame of reference.
And I wonder what force that is. Is it a particle, the photon, arriving at the local environment, locally making a choice out of a heap of superpositions? That choice, is that the kind of vacuum particles that surround you? The choice of Higgs field out of the field of all possible velocities? The idea is the Higgs field from which mass is absorbed stands still with respect to the absorbing particle. So far so good, but still unexplained remains why the x- and t-axes would tilt then. They do such that c remains 3 * 10^8 m/s. But why? Just an extra difference to make frames that only differ a velocity distinguishable?
Velocity might be
non-existent. Velocity, displacement, might be left out from the theory. Leaving only rotations to the point. It would make quaternions more usable.
Or is the solution somewhere else? The Fourier transformation can transform the wavefunction of a photon of low energy and high uncertainty of place into a photon of high energy and low uncertainty of place. It is this process that shapes or
molds the uncertainty relation of Heisenberg.
A low energy photon can be transformed into a high energy photon by you speeding up towards to it. The only thing changing is you, your speed relative to the photon. The photon itself remains untouched and unaffected. The Lorentz transformation then transforms the low energy photon into the high energy photon.
Somehow the Fourier transformation and the Lorentz transformation are the same. The relativistic Doppler equation somehow can be rewritten as a Fourier transform frequency formula.
But it's not me going to do that. Mathematics has never been my strongest point.
Why the fundamental formulas of physics are always so beautifull while their Lorentz transforms are so ugly? (Dirac)
The truth of this remark still is visible for everyone who looks at it. Somewhere in mathematics there must be a road on which the Lorentz transforms are just as beautiful as their original formulas. Quaternions? Quaternions are as to speak specialized in rotation, and the tilt towards each other of the axis in the direction of motion and the axis in the direction of time, IS a rotation.