The Modal Triplet Theory Program A1: Coherent Kinematics Chart Persistence, Encoding Worldlines, and the Conditional Physical Bridge

We formulate coherent kinematics as an encoding-level construction and separate it from physical causal motion. The formal gluing, regularity, finite-propagation, and physical-bridge results are imported from the focused Coherent Kinematics paper, which is their canonical theorem source; the present program paper organizes their role without duplicating their proofs. 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, locality, and operator microcausality enter only after the corresponding Lorentzian, hyperbolic, or local-algebraic structures are supplied. Chart ordering alone is not a causal order. Effective mergers are failures of injectivity of an autonomous reduced map, while splits, selections, probabilities, and records require additional continuation, instrument, measure, and stability data. Failure of an exterior decoder or chart continuation does not imply termination of the underlying upper evolution or a physical worldline. These distinctions retain chart persistence as a useful pregeometric MTT language without deriving relativity, measurement outcomes, or a temporal arrow from projection alone.