Hypermechanics of Gravitational Collapse: Induced Internal Dimension, Toroidal Regularization, and the Emergence of the Hidden Coordinate w
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2026
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| _version_ | 1866902285811974144 |
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| author | Anton Kleschev |
| author_facet | Anton Kleschev |
| contents | <p>We present a formulation of the hypermechanical theory of gravitational collapse. The central proposal is that collapse beyond a critical compactness does not terminate in a point singularity, but instead triggers a topological–informational phase transition in which visible support is repackaged into a hidden geometric channel. The local regulator of this process is a toroidal core, whose cycles encode winding and phase data, while the global consequence is the activation of a collective hidden coordinate w. In contrast to ad hoc extra-dimensional constructions, w is treated here as an emergent coarse-grained mode generated by coherent alignment of toroidal phase flow across a network of collapse-born compact nodes, the Outernet.<br>We formulate this proposal using support fractions, a transposition order parameter, a discrete network Hamiltonian, and a continuum metric ansatz linking local toroidal variables to an effective enlarged geometry. Collapse is then interpreted as an induced-dimension process: when the exterior observable algebra becomes too coarse to resolve the available microstate complexity, the compatible internal state-space acquires an additional effective degree of organization. The Bekenstein–Hawking area law arises as the maximal boundary encoding of this induced capacity, and an energetic-cost ansatz shows how the generalized second law can be preserved. We further introduce an astrophysical induction hierarchy, formulate collapse as a critical phenomenon, and derive a set of falsifiable signatures, including structured post-ringdown echoes, multimessenger threshold anomalies, nonstandard compactobject state-space inference, and a possible correlation between hidden-sector capacity growth and cosmic black-hole formation history. The framework is explicitly conjectural, but it is organized so that it can be sharpened, constrained, or ruled out by observation.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19918791 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Hypermechanics of Gravitational Collapse: Induced Internal Dimension, Toroidal Regularization, and the Emergence of the Hidden Coordinate w Anton Kleschev black hole physics gravitational collapse toroidal topology hidden dimensions hypermechanics <p>We present a formulation of the hypermechanical theory of gravitational collapse. The central proposal is that collapse beyond a critical compactness does not terminate in a point singularity, but instead triggers a topological–informational phase transition in which visible support is repackaged into a hidden geometric channel. The local regulator of this process is a toroidal core, whose cycles encode winding and phase data, while the global consequence is the activation of a collective hidden coordinate w. In contrast to ad hoc extra-dimensional constructions, w is treated here as an emergent coarse-grained mode generated by coherent alignment of toroidal phase flow across a network of collapse-born compact nodes, the Outernet.<br>We formulate this proposal using support fractions, a transposition order parameter, a discrete network Hamiltonian, and a continuum metric ansatz linking local toroidal variables to an effective enlarged geometry. Collapse is then interpreted as an induced-dimension process: when the exterior observable algebra becomes too coarse to resolve the available microstate complexity, the compatible internal state-space acquires an additional effective degree of organization. The Bekenstein–Hawking area law arises as the maximal boundary encoding of this induced capacity, and an energetic-cost ansatz shows how the generalized second law can be preserved. We further introduce an astrophysical induction hierarchy, formulate collapse as a critical phenomenon, and derive a set of falsifiable signatures, including structured post-ringdown echoes, multimessenger threshold anomalies, nonstandard compactobject state-space inference, and a possible correlation between hidden-sector capacity growth and cosmic black-hole formation history. The framework is explicitly conjectural, but it is organized so that it can be sharpened, constrained, or ruled out by observation.</p> |
| title | Hypermechanics of Gravitational Collapse: Induced Internal Dimension, Toroidal Regularization, and the Emergence of the Hidden Coordinate w |
| topic | black hole physics gravitational collapse toroidal topology hidden dimensions hypermechanics |
| url | https://doi.org/10.5281/zenodo.19918791 |