Dual-Channel Gravity in the Stochastic Rupture Framework: Collapse-Induced Pruning and Flux-Induced Temporal Transport as Complementary Sources of Gravitational Dynamics

Within the Stochastic Rupture (SR) framework, gravitational dynamics emerge from the evolution of a covariant informational saturation field χ(xµ) defined as the fractional occupancy of the local Bekenstein–Bousso information bound. Previous work identified collapse-induced informational pruning as a candidate microscopic origin of classical structure formation and proper-time slowing in macroscopic systems. In this paper we propose that gravitational attraction receives two complementary contributions from the χ-field dynamics: (1) a local pruning component associated with collapsedriven saturation (χ → 1), and (2) a transport component generated by sustained flux of low-saturation quantum-plane objects crossing classical regions. The first reproduces conventional baryonic gravity within the SR framework, while the second provides a candidate mechanism for dark-matter-like gravitational signatures without introducing new particle species. The paper develops the conceptual structure of this dual-channel gravitational mechanism and identifies the mathematical program required to test itsviability. This revised version (June 2026) adds a quantitative calculation of the channel-(ii) contribution to galactic rotation curves (Sections 13 and 14). The linearized SR field equation ∇2χ − Γ0χ = −Sbary produces a phantom halo with Yukawa profile χ(r) ∝ e−√Γ0r/r extending beyond the baryonic disk. The geodesic coupling is found to be ℓP²-suppressed and 58 orders of magnitude below the observed rotation curves; the metric backreaction route gµν = κ∇µ∇νI avoids this suppression and gives the correct order of magnitude for κ ∼ 3 × 109 m2, which must be derived from SR fundamentals.The Yukawa halo profile is a clean falsifiable signature distinguishing SR from CDMand MOND, testable with Euclid weak-lensing maps.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-28
DOI
https://doi.org/10.5281/zenodo.21012073
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Dual-Channel Gravity in the Stochastic Rupture Framework: Collapse-Induced Pruning and Flux-Induced Temporal Transport as Complementary Sources of Gravitational Dynamics

GUILHERME ZAMBUZI
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Dual-Channel Gravity in the Stochastic Rupture Framework: Collapse-Induced Pruning and Flux-Induced Temporal Transport as Complementary Sources of Gravitational Dynamics

GUILHERME ZAMBUZI
preprint en

Abstract

Within the Stochastic Rupture (SR) framework, gravitational dynamics emerge from the evolution of a covariant informational saturation field χ(xµ) defined as the fractional occupancy of the local Bekenstein–Bousso information bound. Previous work identified collapse-induced informational pruning as a candidate microscopic origin of classical structure formation and proper-time slowing in macroscopic systems. In this paper we propose that gravitational attraction receives two complementary contributions from the χ-field dynamics: (1) a local pruning component associated with collapsedriven saturation (χ → 1), and (2) a transport component generated by sustained flux of low-saturation quantum-plane objects crossing classical regions. The first reproduces conventional baryonic gravity within the SR framework, while the second provides a candidate mechanism for dark-matter-like gravitational signatures without introducing new particle species. The paper develops the conceptual structure of this dual-channel gravitational mechanism and identifies the mathematical program required to test itsviability. This revised version (June 2026) adds a quantitative calculation of the channel-(ii) contribution to galactic rotation curves (Sections 13 and 14). The linearized SR field equation ∇2χ − Γ0χ = −Sbary produces a phantom halo with Yukawa profile χ(r) ∝ e−√Γ0r/r extending beyond the baryonic disk. The geodesic coupling is found to be ℓP²-suppressed and 58 orders of magnitude below the observed rotation curves; the metric backreaction route gµν = κ∇µ∇νI avoids this suppression and gives the correct order of magnitude for κ ∼ 3 × 109 m2, which must be derived from SR fundamentals.The Yukawa halo profile is a clean falsifiable signature distinguishing SR from CDMand MOND, testable with Euclid weak-lensing maps.

Zenodo (CERN European Organization for Nuclear Research)
Universidade Federal de Minas Gerais (BR)
Life in Land
Cosmology and Gravitation Theories
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