Black Holes as Admissibility-Limited Temporal Transport Structures

Chronoflux Black Hole Reconstruction: Continuity, Admissibility, Recoverability, and Emergent Geometry This work presents a continuity-first reconstruction of black hole phenomenology within the Chronoflux Framework. Rather than treating geometry as fundamental, the manuscript begins from a primitive transport law for temporal density and develops a hierarchy of admissibility, recoverability, and persistence operators governing the evolution of physical systems. The paper introduces a transport-theoretic description in which horizons emerge as recoverability boundaries, singularities are replaced by admissibility saturation, and information loss is reinterpreted as a limitation on information accessibility rather than fundamental destruction. Observer reconstruction theory, primitive information theory, and information accounting are developed within a unified mathematical framework. A finite transport-capacity principle is derived and shown to regulate collapse dynamics, yielding bounded interior states and removing the need for singular spacetime endpoints. The manuscript derives transport field equations from a variational formulation, constructs an effective transport momentum-flux tensor, and develops the emergence of Schwarzschild-like and rotating exterior solutions from conservation principles. Exterior inverse-square behaviour and rotational dipole structure are obtained from source-free transport conservation, with observational correspondence used only to calibrate coefficients. A linearised saturated-core solution is presented, together with a finite boundary-layer structure and a recoverability-based interpretation of horizon thermodynamics. Additional sections establish nonlinear stability criteria, a transport-based reconstruction of the Dirac sector, and a bridge to empirical transport phenomena through the Dirac-fluid regime of graphene. The resulting framework provides a mathematically structured alternative to singular black hole interiors while preserving compatibility with known exterior gravitational behaviour. The manuscript is intended as a foundational contribution to continuity-based approaches to gravitation, information, and compact-object physics. It distinguishes carefully between derived results, inherited derivational structures, and correspondence normalisations, maintaining explicit separation between established derivations and open research directions. Keywords: Chronoflux Framework, black holes, continuity equation, emergent geometry, admissibility, recoverability, persistence, information theory, horizon thermodynamics, transport dynamics, graphene Dirac fluid, singularity resolution, Schwarzschild reconstruction, Kerr reconstruction.