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This analysis reveals how local inertial frames influence our understanding of time in relativity, suggesting deeper implications for physical laws.
We propose that the relativity principle admits a natural epistemological reading once inertial frames are recognized as fundamentally local objects. A physicist who continuously passes through distinct local inertial frames is naturally led to formulate laws that are invariant under changes of frame. The Lorentz transformation, which extends local physics to macroscopic distances, produces correct predictions for local measurements, but its distant assignments have no independently veriable physical content. To demonstrate this, we introduce the vibrating train paradox, in which a rapidly oscillating observer attributes to a distant clock an alternation of aging and rejuvenation a result that no local measurement could ever detect or refute. This perspective dissolves the twin paradox by restricting physical reasoning to the local comparison of proper times, and claries the submarine paradox by showing that the naive contradiction arises from treating the globally contracted density as a physical fact, while the correct resolution passes through a local force analysis.
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Gabriel Longeaux (de) (2026) studied this question.
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