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January 14, 20260 citationsOpen Access

Meta Connective Physics: A Discrete Relational Framework for Spacetime, Matter, and Information

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MVMichael VAILLANT

Key Points

  • This work explores the Meta-Connective Framework, aiming to unify spacetime geometry and fundamental constants within a relational model.
  • Introduces the Meta-Connective Framework (MCP) as a network approach to physics
  • Models physical reality using Relational Tension Quanta (RTQs)
  • Applies constraints from high-precision data to validate or falsify the framework
  • Identifies the correlation of fundamental constants as projections rather than independent inputs
  • Establishes a dual-sheet cosmology linked by phase relationships
  • Demonstrates the role of metric geometry as emergent from relational structures.

Abstract

This monograph introduces the Meta-Connective Framework (MCP), a discrete network-based approach in which spacetime geometry, matter, and coherence emerge as phase-coupled projections of a single invariant relational modulus Λ₀. Physical reality is modeled as a lattice of Relational Tension Quanta (RTQs) carrying a complex tension Λ = Λᴾ + iΛᴵ, where Λᴾ encodes metric stiffness/inertial response and Λᴵ encodes phase alignment/coherence, with invariant modulus redistributed between both components. A single structural phase Θ controls how Λ₀ projects onto observational channels, so “fundamental constants” (c, G, ℏ, α, …) are treated as correlated projections rather than independent inputs. This yields a hard cross-domain constraint structure: if high-precision data require mutually independent drifts (or uncorrelated residual textures) across these channels, MCP is falsified at its core. Metric geometry is an effective regime recovered only when Λᴾ supports a stable IR mapping; the underlying description remains relational, and locality is treated as an emergent phase-coherence property. The same angular structure motivates a dual-sheet cosmology (M⁺/M⁻), shifted by π/2 in Θ and originating from the same modulus. Curvature sourced in M⁻ reproduces dark-matter-like phenomenology, while dark-energy-like behavior is associated with slow inter-sheet tension gradients and backreaction. A distinctive feature is a scale-bridging closure linking microphysical bookkeeping (RTQ grain scale and fermionic loop closures) to cosmological anchoring within a single projection grammar. The manuscript formulates conservative negative checks (GW propagation, Lorentz invariance, equivalence principle, early-universe consistency, H₀ anisotropies) and identifies the coherence-dominated limit Θ → π/2 as a non-metric boundary for future tests. This work is a research preprint (monograph) and has not yet undergone peer review.

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Cite This Study

Michael VAILLANT (2025) studied this question.

synapsesocial.com/papers/6966f30613bf7a6f02c0079ehttps://doi.org/10.5281/zenodo.17891522
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