HyperMorphic Field Theory - Physics - Covariant Dynamical Representation Geometry, Pathology-Avoiding Couplings, and an Exact GR Limit

HyperMorphic Field Theory - Physics - investigates whether a dynamical internal representation geometry can be coupled covariantly to spacetime without introducing ghosts, gradient instabilities, broken conservation laws, or an inconsistent general-relativistic limit. The paper develops a diffeomorphism-invariant candidate framework in which an internal law field dynamically modifies the physical geometry experienced by matter while preserving a regular frozen-law branch that recovers general relativity exactly. We derive the field equations, covariant conservation identity, local principal symbol, no-ghost conditions, causal sound-speed requirements, weak-field parametrized post-Newtonian limit, and compact-object equations. The framework is evaluated through Schwarzschild and neutron-star solutions, spontaneous scalarization thresholds, a fully backreacted scalarized star, nonlinear radial and three-dimensional field evolutions, perturbative mode diagnostics, realistic equations-of-state and tidal calculations, screened-parameter inference, waveform predictions including a scalar breathing channel, and compiled numerical validation tests. A public-data pipeline using gravitational-wave, pulsar, cosmological, and numerical-relativity resources finds a conditionally viable screened region but no statistically significant preference for HMFT over general relativity. The result is therefore presented as a rigorous candidate-theory architecture and conditional existence demonstration—not as an observational discovery or completed theory of quantum gravity. Complete numerical-relativity validation, exact coupled stellar spectra, comprehensive observational inference, and independent replication remain open.