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February 24, 20260 citationsOpen Access

A Phase-Ordered Pre-Geometric Projection Framework

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FRFuoco Richard

Key Points

  • The aim is to develop a framework based on relational structures to describe emergent spacetime and quantum phenomena.
  • Proposed an atemporal, relational algebraic structure as a substrate.
  • Defined a compact internal symmetry similar to SU(2) as a fundamental component.
  • Developed a physical projection map to yield spatial structure and time-order metrics.
  • Identified an effective spatial dimension of approximately 3 within the framework.
  • Demonstrated potential recovery of known predictions from General Relativity and quantum field theory.
  • Outlined a functional model for finite distinguishability in terms of a boundary cut-capacity.

Abstract

We propose an atemporal, pre-geometric substrate described purely by relational/algebraic structure. A compact internal SU (2) -like symmetry and a distinguished phase/action ordering generator are taken as primitive. A unique, necessary physical projection map yields an emergent manifold-like spatial structure (with effective dimension D^* 3 in our regime), objective time-order (as a metric on phase order), and a finite distinguishability bound expressed in terms of a boundary cut-capacity functional (expected to reproduce an area-law in low-distortion manifold regimes). Quantum discreteness is treated as emergent from stable representation content under projection constraints, while gravitational geometry is defined as the output of the projection’s correlation-based embedding and clock-rate reconstruction. In empirically accessed regimes the framework is required to recover standard General Relativity and quantum field theoretic predictions. Possible additional operational access to nonlocal substrate correlations (including any potential signaling via entanglement "junctions") is formulated as a constrained open module rather than assumed a priori.

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Cite This Study

Fuoco Richard (2026) studied this question.

synapsesocial.com/papers/699d3fc8de8e28729cf6484chttps://doi.org/10.5281/zenodo.18728239
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