Chronoflux Research Initiative: Dilation Theory and the Chronoflux Framework as a Covariant Transport System with Gravitational Closure

This work presents the Chronoflux framework and Dilation Theory as a covariant transport formulation defined on four dimensional spacetime. The theory is constructed from a conserved temporal current, covariant conservation of a transport stress tensor, and geometric closure in which curvature is sourced by the transport stress. The fundamental relations consist of a continuity law for the temporal density, a stress conservation equation, and a curvature equation that together form a closed mechanical system.

Projection of the conservation law yields the energy transport equation and the inertial equation, while the Raychaudhuri identity governs congruence evolution. Linearization produces a wave equation for density transport, and an amplitude phase representation leads to a Hamilton Jacobi form with an additional potential term arising from spatial variation of the density amplitude. Under symmetry reduction the same transport equations generate the homogeneous isotropic cosmological system.

The mechanical structure can also be obtained from a generally covariant action containing transport, dilation, and matter sectors. In this form the continuity law, stress conservation, and geometric coupling define a single closed dynamical framework in which inertia, curvature, wave propagation, and cosmological evolution arise as different regimes of one conserved transport field.

This record is part of the Chronoflux Research Initiative series.

Author ORCID: 0009-0001-2132-2194

Affiliation: Chronoflux Research Initiative