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Relativity in Absolute Terms
Relativity and the Twins Paradox with Diagram and Animation.
A Space-time Diagram (Spacetime Diagram) does not address the cause of the time differential.
Consider the following simple situation upon which all physicists
That "sudden tilt" (or "jump in time") is dictated by Einstein's clock synchronization, a clock synchronization which is not required to deduce any of the measured effects of relativity.
Einstein's clock synchronization does nothing but create a pseudo reality of simultaneity for parties in various inertial frames. Should any party change inertial frames, his pseudo reality must be instantly exchanged for a different pseudo reality to satisfy Einstein's clock synchronization.
Refreshingly, Einstein never commented on where the missing time went regarding his conclusion that two clocks, once synchronized in keeping with his formula, would show a time differential upon being reunited at the end of a uniform linear motion journey. He merely called this unexpected result "peculiar", and let that comment stand the rest of his life.
Einstein's formula (tB - tA = t'A - tB) for clock synchronization nullifies the universal frame of reference (absolute frame of reference), wherein clock rates, length, and the speed of light itself, have meaning in absolute terms (actual vs. measured). His formula has the "jump in time" built in for any situation involving a change of inertial frame.
Einstein's clock synchronization is defined such that light serves as the messenger of moments. By that I mean that Einstein tells us to call simultaneous whatever appears simultaneous, with observers in different inertial frames thus free to form opposing conclusions of what is simultaneous.
They form these opposing conclusions due to the fact that light, the messenger of moments, has a finite speed, causing a delay in ones perception of any distant event, regardless of the distance involved.
But this can all be charted out against an absolute frame of reference, which is simply the sum total of the cosmos, or equivalently, the view from a higher dimension, where light rays and all other phenomena are charted out in absolute terms.
From that vantage point, clock speeds and lengths of rigid bodies are seen in absolute terms and the time differential of the Twins Paradox is easily explained by virtue of actual differences in clock rates. The reality of the time differential builds incrementally. And when light or radio signals are sent forth and back between the parties involved for the purpose of keeping tabs on each other's clock times, so too does the observed asymmetry in time-keeping build incrementally.
Just as clock information is exchanged across inertial frames to effect the observation of mutually measured clock rate slowing, so too does the transfer of clock reading from an outbound traveler to an inbound traveler effect an observed incremental build up of clock rate asymmetry.
All the results of relativity can be deduced independent from Einstein's clock synchronization, with the bonus of having explanations for the results.
Regardless of the fact that the structure of space is ever evolving,
the twins paradox (twin paradox or clock paradox) can be understood
only in the context of an absolute frame of reference, in which the
speed of light is constant in an absolute sense, while clock rates
and lengths of rigid bodies vary in an absolute sense. "Absolute
sense" here refers to the "God's eye view" or the view from a
higher dimension, not to an unchanging structure. In this context,
no twins paradox arises because clock rates do actually vary. Such
treatment of special relativity is completely consistent with, and in
fact subsumes, Einstein's special relativity, with its effective
(observational) equivalence of inertial frames, including the consistent
measured speed of light in all inertial frames. Einstein's treatment
of special relativity can easily be diagrammed against a
stationary frame of reference.
Postulate 1: The speed of light is constant and is the maximum speed for any phenomena, including the transmission of positioning information. Basis: Experiments towards the end of the nineteenth century pointed towards a transformational relationship between matter and energy (radioactivity experiments). Einstein's interpretation of Max Planck's solutions for discreet energy levels introduced the notion of light existing as a massless photon. Being massless, the photon would necessarily possess constant and maximum speed. Postulate 2: Stability (synchronization) is required at the base of our structures (specifically atomic functioning). Basis: This simply parallels the Galilean Principle of Relativity. All of Einstein's results stem from these two postulates. These two postulates may look similar to Einstein's postulates, but are not his postulates. (One quick comment about General Relativity (GR) is in order: Just as in Special Relativity (SR), GR, as formulated, addresses strictly measures (identically observations). The key feature the two theories share is that the speed of light is treated as a constant only as measured. Just as there is an advantage in treating the speed of light as simply a measured constant in SR, so too is there such an advantage in GR. For an actual understanding of what generates the measured effects of SR, we begin with the absolute nature of light, meaning we acknowledge that it has a constant speed in reality. In the process, we obtain all Einstein's results of measured effects.)
I have other documents online which expand on this topic: Twinparadox.pdf includes a table of an analysis of the incrementally building time differential of the Twins Paradox. Relativitytrail_abstract.pdf discusses the absolute version of Einstein's postulates. Twins Paradox Resolution discusses the basics of motion in absolute terms. A Twin Paradox animation. Light rays and traveling twins are diagrammed in absolute terms against the (experimentally undetectable) rest state of the universe. Twins Paradox Explained Relativity Trail, with 210 pages, 65 diagrams and 75 illustrations, will provide you with complete detailed arithmetical derivations of all the kinematical effects of special relativity. Everything is charted out in absolute terms against the rest state of the universe for perfect clarity as well as soundness of theoretical basis. It is the totality of the universe that imparts the inertial properties of clock rates and lengths which generate the effects of relativity. This is explained in detail in Relativity Trail. Copyrighted material. © relativitytrail.com