The Protected Reversal Capsule: Local-Capsule Decomposition, Capacity-Triggered Role Exchange, and Floquet Stability in Six-Throat Directed Geometry

Paper XIX develops the protected local realization of directed reversal in Six-Throat Directed Geometry. It introduces the Local-Capsule Decomposition Principle, separating capsule polarity from the internal mechanical realization of a retained twin-node planetary system. The two persistent stellar nodes exchange emissive and absorptive roles at a finite-capacity surface while the planetary mechanical state remains continuous. The paper derives the Topological Clock Law from capsule throughput and absorptive capacity, constructs a node-resolved energy ledger with an energy-continuous hybrid reset, and formulates an eight-planet mass–damping–stiffness protection network. After removal of the mass-weighted common mode, the canonical capsule-frame witness reduces to seven mechanical degrees of freedom. The source-exact reproducibility calculation gives a dominant state pole of −0.235510204896 ± 0.212605783667 i and a mechanical Floquet radius of 0.389831447340, establishing a Transversely Stable Hybrid Periodic Mechanical Response for the frozen dimensionless witness. Exact node-energy Saltation identities are audited separately. Bounded hysteresis is retained as a compatible asymmetric extension but is not inferred from the Floquet radius alone. This is an internal mathematical stability result within the Six-Throat Directed Geometry framework and is not presented as an observational detection of a real solar-system reversal.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-25
DOI
https://doi.org/10.5281/zenodo.22964025
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
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article
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The Protected Reversal Capsule: Local-Capsule Decomposition, Capacity-Triggered Role Exchange, and Floquet Stability in Six-Throat Directed Geometry

Ibrahim Mohammed Mussa
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
article

The Protected Reversal Capsule: Local-Capsule Decomposition, Capacity-Triggered Role Exchange, and Floquet Stability in Six-Throat Directed Geometry

Ibrahim Mohammed Mussa
article en

Abstract

Paper XIX develops the protected local realization of directed reversal in Six-Throat Directed Geometry. It introduces the Local-Capsule Decomposition Principle, separating capsule polarity from the internal mechanical realization of a retained twin-node planetary system. The two persistent stellar nodes exchange emissive and absorptive roles at a finite-capacity surface while the planetary mechanical state remains continuous. The paper derives the Topological Clock Law from capsule throughput and absorptive capacity, constructs a node-resolved energy ledger with an energy-continuous hybrid reset, and formulates an eight-planet mass–damping–stiffness protection network. After removal of the mass-weighted common mode, the canonical capsule-frame witness reduces to seven mechanical degrees of freedom. The source-exact reproducibility calculation gives a dominant state pole of −0.235510204896 ± 0.212605783667 i and a mechanical Floquet radius of 0.389831447340, establishing a Transversely Stable Hybrid Periodic Mechanical Response for the frozen dimensionless witness. Exact node-energy Saltation identities are audited separately. Bounded hysteresis is retained as a compatible asymmetric extension but is not inferred from the Floquet radius alone. This is an internal mathematical stability result within the Six-Throat Directed Geometry framework and is not presented as an observational detection of a real solar-system reversal.

Zenodo (CERN European Organization for Nuclear Research)
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Advanced Thermodynamics and Statistical Mechanics
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The Protected Reversal Capsule: Local-Capsule Decomposition, Capacity-Triggered Role Exchange, and Floquet Stability in Six-Throat Directed Geometry — Ibrahim Mohammed Mussa · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS