Special relativity (SR) unquestionably exists, and has been presumably accurate when using descriptions based on:
(a) Clifford Algebra, STA, Hestenes, and other 3D (space) + 1D (where time is an independent variable); and
(b) the 4D spacetime by Minkowski, where the division in space and time is arbitrary.
Both alternatives (a) and (b) seem to be a mere matter of choice of mathematics, of bookkeeping, whereas physics could be arbitrary to that choice -- for example, could follow (a).
It would be desirable, therefore, to isolate those aspects of the current SR theory that involve only (a), or (b), to obtain a more satisfactory theory.
As consequence of [1-2], it is proposed that the existence of (a) is denied on physical grounds, which (as in a zero-sum game) favors exclusively the only other alternative, that of (b).
This would lift the ontological question raised in philosophy, whereas we live in a 3D or 4D universe, and the corresponding physical question -- where a 4D choice is to be accepted physically and ontologically.
The proof works not because its assertion is proven, but because it is the only option that survives of the two (demonstratio ad absurdum), (a) and (b) possibilities. Your opinion is appreciated.
[1] Preprint Multivectors are mathematically correct, but not physically correct
[2] https://www.researchgate.net/post/Are_geometric_algebras_Clifford_Cl3_1_Hestenes_insufficient_for_electromagnetism
All: RG has a glitch, that also does not help me edit, so, I'm reposting corrected.
I tend to see things through QM. Reality is more clearly observer-dependent, in QM. Starting with the Heisenberg principle, observer and experiment cannot be dissociated. There is no objectivity in QM (why?) -- but there is a coherent abstract view one can pursue in QM. See more at
Preprint A Quantum Mechanical View of Reality or, can the Maxwell equ...
All: Thanks to all comments, also by PM. By requiring variations in all directions to equal zero (the variational principle), one can obtain the Euler-Lagrange equation both in SR and in the Schroedinger equation (non-SR QM) -- as well-known -- leading to RQM (SR + QM), and QFT as well-known. This extends, not contradicts, F = ma, Newton's law, which also obeys the Euler-Lagrange equation, also as well-known (i.e., cannot be disputed, credibly).
EM and GR will logically have to be extended, likewise one may conclude, to follow also the Euler-Lagrange equation.
Therefore, the Euler-Lagrange equation is so comprehensive, in small and large scales, that is likely to explain whatever we find at any scale, including dark matter, dark energy, and gravity. Details at:
Preprint New Physics with the Euler-Lagrange Equation: Going Beyond Newton
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