Time 'betwins'
Thierry Grandou, Jacques L. Rubin (Institut du Non-Lineaire de, Nice)

TL;DR
This paper proposes a novel resolution to the Langevin Twins paradox using a new Punctual Equivalence Principle within scale gravity, linking time discrepancies to thermodynamic laws.
Contribution
It introduces the Punctual Equivalence Principle and applies scale gravity to resolve the Twins paradox, highlighting conformal geometry's role in proper time determinism.
Findings
Resolution of the Twins paradox without triangular spacetime diagrams
Identification of conditions for determinism and under-determinism of proper times
Potential connection between time discrepancies and thermodynamic laws
Abstract
Discussions on the Langevin Twins 'paradox' are most often based on a "triangular" diagram which outlines the twins spacetime travels. It won't be our way, avoiding what we think to be a problem at the basis of numerous controversies. Our approach relies on a fundamentally different Equivalence Principle, namely the so-called "Punctual Equivalence Principle", from which we think that a very conformal aspect proceeds. We present a resolution of this paradox in the framework of the so-called "scale gravity". This resolution hinges on a clear determinism of the Twins proper times, in some definite situations, and a fundamental under-determinism in some other particular ones, the physical discrimination of which being achieved out of a precise mathematical description of conformal geometry. Moreover, we find that the time discrepancy between the twins, could somehow be at the root…
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Cosmology and Gravitation Theories · Relativity and Gravitational Theory
