ROOT-FABRIC-GRAVITYFoundations

Fabric Gravity (FG)

Canonical recovery-first weak-field metric projection architecture deriving gravitational phenomenologies from relational graph dynamics.

ClassPhysical Metric Fabric

Evidence TierTier 1 (Formal Root)

Model ProfileFORMAL_SPECIFICATION

AttributionIvan Pasev

Procedural PlateFormal procedural plate defining the bounded theoretical geometry and invariant obligations for this research fabric.

EPISTEMIC DEMARCATION // Tier 1 (Formal Root)

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Constitutional Demarcation: A Research Fabric is a bounded epistemological architecture. Structural formulation, digital execution, and proof-assistant replay declare local invariants; they do not constitute unverified physical validation.

Architectural Overview

Fabric Gravity (FG) formalizes a recovery-first, weak-field metric projection framework within the Science of Fabric Reality. Rather than positing continuous spacetime geometry as an irreducible fundamental substance, the architecture treats macroscopic gravitational fields as emergent projections derived from discrete relational graph dynamics.

The foundational projection operator maps discrete network states to smooth Riemannian manifolds in the low-energy limit:

$${\mathrm{\Pi }}_{grav}:{\mathcal{G}}_{relational}(\mathcal{V},\mathcal{E})⟶(\mathcal{M},g_{\mu \nu })$$

Where discrete edge-weight distributions and boundary cycle flows asymptotically recover linearized Einstein tensor structures $G_{\mu \nu }$ with bounded observable residues:

$$G_{\mu \nu }=8\pi G{T}_{\mu \nu }+\mathcal{O}({\ell }_P^2/L^2)$$

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Core Invariants

1. Relational Pregeometric Primacy: Spacetime metric tensors are strictly derived from relational boundary cycles; no global background metric is presupposed.
2. Weak-Field General Relativity Recovery: In the low-energy, macroscopic distance regime ($r\gg {\ell }_P$), the projection recovers standard Newtonian and post-Newtonian weak-field limits.
3. Conserved Invariant Boundary Flux: Discrete divergence-free conditions on the underlying relational graph guarantee macroscopic local energy-momentum conservation.
4. Residue Boundedness: Non-perturbative deviations from classical geometry remain bounded within experimental metrological tolerance thresholds.

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Epistemic Status & Demarcation

Analytical Formal Root

Fabric Gravity is maintained as a mathematical and analytical formal root exploring pregeometric quantum gravity alternatives. Inclusion in the corpus does not assert physical gravitational discovery beyond standard general relativistic limits, nor does it replace established precision laboratory gravity metrology (e.g. torsion balance, atom interferometry).

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Reciprocal Bridges & Related Research

• Principia Fabrica (RF-001) — Foundational compositionality and boundary cycle algebra.
• Fabricon (RF-006) — Fundamental excitation dynamics on relational lattices.
• KP Field & Resolvents (RF-013) — High-precision atomic spectroscopy observational sensitivity testbeds.
• Fabric Gravity Whitepaper Reader — Canonical monograph reader and versioned equations.