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Curved Meta-Relativity from Exact Witness Architectures Terminal-Fiber Geometry, Barrier Fields, and the Relativity of Exact Recognition

Publié
Serveur de preprints
Preprints.org
DOI
10.20944/preprints202604.0882.v1

We develop a metamathematical analogue of special and curved relativity built from exact witness architectures. For a proposition equipped with exact positive and negative witness channels, the corresponding positive and negative terminal directions are promoted to formal terminal meta-fibers. These play the role of null directions and generate a terminal cone together with an invariant interval dσ2 = dU dV = dT2 − dX2. This yields a flat theory, Terminal-Fiber Relativity, in which Lorentz-type transformations arise as exactly the observer changes preserving the terminal interval and the oriented terminal cone. We then reinterpret the principal barrier theorems of exact witness architecture theory as relativistic laws: the Selection Jump Theorem becomes a universal null-propagation principle; reflection collapse forbids global internal inertial charts on Π1-universal sectors; and Tarski and diagonal barriers forbid global arithmetic charts on truth-universal sectors. The second half of the paper extends the flat theory to curved meta-relativity. We define terminal-fiber manifolds, local null charts, occupancy fields, barrier fields, and a scalar curvature law in dimension 1+1. Because ordinary Einstein dynamics is trivial in two dimensions, the curved theory is governed instead by a conformal scalar equation sourced by barrier density and mixed terminal occupancy. We also formulate a higher-rank extension and a functorial packaging from exact witness architectures to terminal-fiber geometries. The result is not an empirical substitute for spacetime physics, but a geometric invariant theory of exact recognition.

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