Sūtras: On the Chain of the Invariant

Sixty sūtras across twelve books and one appendix, distilling the formal architecture of the Progress Function into aphoristic form. The twelve books—The Invariant, Composition, Language, Variation, Verification, Regulation, The Kernel, Correction, Coupling, Persistence, The Manifold, The Separatrix—trace the chain from the definition of invariant structure through the fold bifurcation that marks the boundary between compounding and non-compounding regimes. The appendix proves the Invariance Theorem in both static and dynamic forms: structure is invariant if and only if transport preserves it (static), and a system compounds if and only if the round-trip fidelity of its transport–aggregation adjunction is bounded (dynamic). Second edition. MMXXVI.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-13
DOI
https://doi.org/10.5281/zenodo.19547911
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Sūtras: On the Chain of the Invariant

Arjavan
Zenodo (CERN European Organization for Nuclear Research)
Homotopy and Cohomology in Algebraic Topology
article

Sūtras: On the Chain of the Invariant

Arjavan
article en

Abstract

Sixty sūtras across twelve books and one appendix, distilling the formal architecture of the Progress Function into aphoristic form. The twelve books—The Invariant, Composition, Language, Variation, Verification, Regulation, The Kernel, Correction, Coupling, Persistence, The Manifold, The Separatrix—trace the chain from the definition of invariant structure through the fold bifurcation that marks the boundary between compounding and non-compounding regimes. The appendix proves the Invariance Theorem in both static and dynamic forms: structure is invariant if and only if transport preserves it (static), and a system compounds if and only if the round-trip fidelity of its transport–aggregation adjunction is bounded (dynamic). Second edition. MMXXVI.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Homotopy and Cohomology in Algebraic Topology
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