A Seam-Geometric Route to Local Minkowski and Lorentz Structure in the Complementarity–Time Framework

This note presents a compact recovery route for local Minkowski structure and the corresponding Lorentz transformations within the Complementarity–Time Framework (CT Framework). The construction uses one constraint and one symmetry: finite local mouth-capacity per primitive tick, and tangential translation invariance of stable apertures. Version 2.3 treats stability modulo tangential P-address translations and clarifies that the local seam-frame normal form is an adapted-frame convention, not a third independent dynamical postulate. In this frame, n is commit-depth and x is tangential P-address, so pure tangential transport preserves writtenness to first order. The tangential symmetry gives a conserved Noether charge, while finite mouth-capacity gives the normalized constraint σ² + β² = 1. Under the identifications β = v/c and dτ = σdt, the local Minkowski interval c²dτ² = c²dt² − dx² follows, with Lorentz transformations as the linear maps preserving that interval. The note is a focused framework checkpoint, not a completed physical theory or a full derivation of relativity. Its purpose is to isolate a CT-native recovery route for the kinematic sector and to identify the remaining foundational tasks, especially the rigorous justification of tangential translation symmetry and the promotion of the CT incoherence functional to a local action.Orthogonality is not assumed as spacetime geometry; it is recovered in the adapted seam frame from finite capacity, tangential symmetry, and quotient stability.