I don't know if the differences are totally arbitrary, but I do know that mostly particle physicists use (+,−,−,−) while relativists usually use the metric (−,+,+,+). However, in terms of how I understand physics, it's best to use (−,+,+,+) because it implies time has an imaginary coefficient. Time is after all, the imaginary space dimension. Imaginary in every way
At best your THEORY could be said to be just one interpretation and debatable, at worst, it's just plain crazy and exhibits nothing more than unnecessary pedant, disputable semantics and plenty of rhetoric........
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Spacetime and Geometry: An Introduction to General Relativity
http://preposterousuniverse.com/spacetimeandgeometry/
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http://einstein.stanford.edu/content/relativity/q411.html
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http://www.mth.kcl.ac.uk/~lambert/SGGR.pdf
Spacetime Geometry and General
Relativity
Gravitational Redshift and Time Dilation
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http://casa.colorado.edu/~ajsh/phys5770_08/frw.pdf
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https://medienportal.univie.ac.at/p...n-quantum-mechanics-meets-general-relativity/
According to general relativity, time flows differently at different positions due to the distortion of space-time by a nearby massive object. A single clock being in a superposition of two locations allows probing quantum interference effects in combination with general relativity. Image credits: Quantum Optics, Quantum Nanophysics, Quantum Information; University of Vienna.
The unification of quantum mechanics and Einstein's general relativity is one of the most exciting and still open questions in modern physics. General relativity, the joint theory of gravity, space and time gives predictions that become clearly evident on a cosmic scale of stars and galaxies. Quantum effects, on the other hand, are fragile and are typically observed on small scales, e.g. when considering single particles and atoms. That is why it is very hard to test the interplay between quantum mechanics and general relativity. Now theoretical physicists led by Časlav Brukner at the University of Vienna propose a novel experiment which can probe the overlap of the two theories. The focus of the work is to measure the general relativistic notion of time on a quantum scale. The findings will be published this week in "Nature Communications".
Time in general relativity
One of the counterintuitive predictions of Einstein's general relativity is that gravity distorts the flow of time. The theory predicts that clocks tick slower near a massive body and tick faster the further they are away from the mass. This effect results in a so-called "twin paradox": if one twin moves out to live at a higher altitude, he will age faster than the other twin who remains on the ground. This effect has been precisely verified in classical experiments, but not in conjunction with quantum effects, which is the aim of the newly proposed experiment.
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Time exists, and is inexorably linked to space, the Universe and anything which describes the Universe, including GR.
But you are entitled to your interpretation. :shrug: