FAB-FABRIC-GRAVITY-ROOTPHYSICAL AND QUANTUM
Fabric Gravity
A formal relational pregeometric architecture for weak-field metric projection and observable residue parameterization.
RELATED_FABRIC
Independent Epistemic Status Matrix
Multi-axis verification ledger · Active P4 Seals: 0Publication Status
CANONICAL-DRAFT
Drive-sealed canonical root specification (v0.1 / v0.2) in the formal fabrics corpus.
Formal Status
ANALYTICAL-SPEC
Rigorous analytical and operator-theoretic formulation with tracked proof obligations.
Engineering Status
THEORETICAL-SPEC
Mathematical system specification and interface contracts prior to physical fabrication.
Empirical Status
NO-EMPIRICAL-CLAIM
Theoretical research architecture; external experimental and observational limits enforced.
Constitutional Boundary: Publication status, formal logic proofs, engineering realization, and empirical observation are strictly independent axes. Canonical draft status does not assert laboratory bench validation, external peer consensus, or clinical efficacy.
Purpose & System Boundary
GFTM-72 realizes an exact 72-dimensional modular state machine using split-torus profiles and integer arithmetic, completely eliminating floating-point numerical drift in mission-critical control loops.
Claim Boundary & System Limit
Periodicity guarantees hold for split-torus subgroups; general O(72) rotation requires dense subgroup approximations.
Scientific Lineage & Ancestry
This Fabric derives from explicit mathematical, physical, and cybernetic precursors rather than an unconstrained universal deduction:
01
Digital Fabrica Theory (DFT)
Foundational Basis
→
02
Finite Orthogonal Groups O(72)
Structural Mechanics
→
03
Split-Torus Modular Arithmetic
Projection Interface
Architecture & Governing Invariants
The internal integrity of GFTM-72 is preserved by 3 inviolable mathematical constraints:
INV-01
Exact norm preservation (||x_{k+1}|| == ||x_k||)
Conserved state parameter enforced across all legal system transitions and interface interactions.
INV-02
Split-torus cyclic periodicity
Conserved state parameter enforced across all legal system transitions and interface interactions.
INV-03
Zero arithmetic accumulation error
Conserved state parameter enforced across all legal system transitions and interface interactions.
Intended Capabilities & Target Applications
Drift-free orbital and inertial attitude stabilization
Exact modular state verification in safety-critical cybernetics
High-dimensional cyclic scheduling
Canonical Whitepaper Monograph
Access the structured scholarly reader edition, complete mathematical derivations, topos definitions, and formal citation metadata.
Media & Public Briefings
No dedicated video lecture directly indexed for this canonical root. View the general Canonical Fabrics Series Playlist ↗.
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FAB-FQED-ROOTPHYSICAL AND QUANTUM
FQED
A formal field-fabric architecture for recursive electrodynamic transport, multiscale constitutive cascades, and observer-indexed closure.
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FAB-FQPT-ROOTPHYSICAL AND QUANTUM
FQPT
A formal regime-indexed architecture for excitation concretization, manifestation topology, and topos-geometric sheaves.
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Archival Provenance & Source Hashes
Cryptographically anchored in FABRICS_COMPLETE_SOURCE_WEBSITE_REGISTRY__v1.0.md and verified intake archive:
| Source ID | Artifact Type | Original Filename | SHA-256 Digest | Quarantine State |
|---|---|---|---|---|
SRC-012 | Hybrid whitepaper source | 12-GFTM-72 Formal Systems White Paper.md | 8659899831b32e0b... | INTAKE-VERIFIED |