Explores coherent kinematics effects on encoding trajectories, suggesting implications for physical models.
We formulate coherent kinematics as an encoding-level construction and separate it from physical causal motion. An admissible chart is a typed reduction from an upper state domain to an effective description, with transition maps on controlled overlaps. Position is a declared localization functional of chart support. An encoding trajectory is generated by an actual upper path that remains representable through a compatible chain of charts; equivalent chart descriptions define the same encoding worldline. Regularity of this worldline requires regular upper evolution and regular chart and localization maps—contractivity alone is insufficient. Physical timelike and null classification, finite propagation, and locality come only after a selected local hyperbolic realization and its principal symbol are supplied. Chart ordering alone is not a causal order. Effective mergers are noninjectivity of an autonomous reduced map, while a split requires additional multivalued, stochastic, or hybrid continuation data. At a horizon, failure of an exterior decoder or chart continuation does not imply termination of the underlying physical worldline. These distinctions retain chart persistence as a useful MTT kinematic language without deriving relativity, exclusion principles, measurement outcomes, or irreversibility from projection alone.
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Peter Nero (2026) studied this question.
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