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Harmonic Triad Theory: Reality as Selective Coherence

Mauro Mameli

Published May 20, 2026• 0 citations
Publisher

Abstract

This work proposes a conceptual pre-geometric framework in which reality emerges from self-sustaining relational coherence structures rather than from fundamental particles or spacetime. The central hypothesis is that reality is not fundamentally probabilistic but selectively stabilizes coherent configurations capable of persistent relational closure. The framework connects synchronization dynamics, triadic relational structures, topology, emergent geometry, resonance, and a reinterpretation of quantum collapse as coherence selection. This publication is intentionally exploratory and heuristic, offered as a conceptual seed for future mathematical and physical development.

DOI
10.5281/zenodo.20303446

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This work proposes a conceptual pre-geometric framework in which reality emerges from self-sustaining relational coherence structures rather than from fundamental particles or spacetime. The central hypothesis is that reality is not fundamentally probabilistic but selectively stabilizes coherent configurations capable of persistent relational closure. The framework connects synchronization dynamics, triadic relational structures, topology, emergent geometry, resonance, and a reinterpretation of quantum collapse as coherence selection. This publication is intentionally exploratory and heuristic, offered as a conceptual seed for future mathematical and physical development.
This paper proposes an interpretation of quantum wave function collapse within the Harmonic Triad framework, where physical reality emerges from primordial synchronization dynamics and coherent closure structures. In this approach, the wave function represents a physically real coexistence of harmonic configurations rather than an abstract probabilistic object. Collapse is interpreted as a dynamical process of coherent stability selection induced by environmental interaction and synchronization transitions. The work introduces a persistence functional governing coherent attractor survival, a toy dynamical model for collapse-like synchronization behavior, and an emergent interpretation of the Born rule as a probability of harmonic attractor stabilization. The framework also provides a topological interpretation of entanglement and nonlocality through extended closure structures operating beyond emergent spacetime geometry. The proposed model aims to replace observer-dependent collapse with a physically grounded mechanism based on harmonic persistence, decoherence, and nonlinear synchronization dynamics.
We develop a pre-geometric reconstruction framework in which quantum mechanics, entanglement structure, gauge symmetry, locality, Lorentzian spacetime geometry, gravitation, and physical constants emerge from recursively stabilized coherent Hilbert-relational organization. The framework begins from a primitive coherent substrate consisting of compositional accessibility relations and complex transport amplitudes. No background spacetime manifold, metric geometry, or particle ontology is assumed fundamentally. The central proposal is that coherent Hilbert structure is more fundamental than spacetime geometry. Observable spacetime emerges through projection stabilization: a physical stability-selection mechanism dynamically selecting recursively stable coherent sectors from deeper relational structure. Quantum mechanics emerges from norm-preserving coherent transport. Entanglement emerges from nonfactorizable relational closure. Gauge symmetry emerges as redundancy of coherent transport representation. Classicality emerges through decoherence and stability selection. Lorentzian geometry emerges statistically from projected accessibility organization. Gravitation emerges thermodynamically as equilibrium relaxation of projected geometry. The framework is presented not as a completed unified theory, but as a reconstruction program aimed at explaining why physical reality organizes itself through Hilbert structure, gauge redundancy, locality, spacetime geometry, and thermodynamic gravitational dynamics.
We develop a pregeometric reconstruction framework in which quantum mechanics, gauge symmetry, probabilistic structure, matter, Lorentzian spacetime geometry, gravitation, and physical constants emerge from recursively stabilized coherent relational transport organization. The framework begins from a primitive causal-relational substrate consisting only of fluctuating accessibility relations and compositional transport structure. No background spacetime manifold, metric geometry, particle ontology, or external temporal parameter is assumed fundamentally. The theory further proposes that the preconditions underlying Einsteinian physics must already exist at the pre-geometric level as deeper relational consistency principles. Lorentz invariance, causal structure, covariance, conservation laws, and gravitational equivalence are interpreted as emergent macroscopic expressions of more primitive coherent accessibility constraints. A generalized spectral transport operator governs coherent relational evolution and generates stable eigensectors corresponding to persistent physical structure. Quantum mechanics emerges from coherent compositional consistency and norm-preserving recursive transport flow. Gauge symmetry emerges as local redundancy of coherent transport representation. Classical mechanics emerges through stationary coherent transport stabilization. A reconstruction of the Born rule is proposed in which quadratic probability amplitudes arise from multiplicative persistence consistency under independent coherent composition. Lorentzian spacetime geometry emerges statistically from stabilized causal accessibility organization, while gravitation emerges thermodynamically as equilibrium relaxation of coherent accessibility geometry. The framework further proposes that physical constants correspond to frozen stability invariants selected during primordial coherent transport evolution. In particular, the fine-structure constant is interpreted as a stable surviving coherent phase-accessibility ratio associated with recursive phase closure. The theory therefore attempts not merely to reproduce known equations, but to explain why physical reality universally organizes itself through Hilbert structure, gauge redundancy, localization, Lorentzian geometry, and thermodynamic gravitational dynamics. In particular, the framework proposes that Einsteinian spacetime physics emerges from deeper pre-Einsteinian coherent relational conditions governing recursive transport accessibility before spacetime itself exists.
We develop a pregeometric framework in which quantum mechanics, gauge structure, gravitation, matter, and spacetime emerge from the stability dynamics of coherent relational transport organization. Rather than assuming spacetime manifolds, Hilbert spaces, or gauge symmetries as fundamental, the theory begins from a primitive causal-relational substrate consisting only of composable transport relations. A generalized spectral transport operator is introduced to represent coherent relational dynamics. Stable eigensectors of generate effective particles, locality, gauge structure, and geometry. Physical organization is governed by a generalized relational stability functional whose extrema define dynamically persistent coherent structures. Quantum mechanics emerges from coherent compositional consistency, gauge symmetry emerges as redundancy of transport representation, and spacetime geometry emerges statistically through spectral localization, thermodynamic projection, and relational distinguishability stabilization. The framework therefore proposes that physical reality is fundamentally not a collection of objects evolving inside spacetime, but a self-stabilizing process of coherent relational spectral organization from which matter, fields, and spacetime itself emerge
This is a companion accessible guide to the full academic paper: This paper proposes an ontological framework that positions relationality—not matter, energy, or information—as the fundamental ground of existence. The framework explores whether diverse phenomena might be derivable from a single primordial capacity: the potential for relation itself. The framework addresses core puzzles in quantum foundations, consciousness studies, and metaphysics by hypothesising that reality manifests through interference patterns in a relational field. On this view, consciousness is not a property possessed by entities, but an emergent phenomenon associated with specific geometric configurations of three co-eternal field aspects, termed the Quantum Trinity (Φ–Ψ–Ω): Field (superposition medium), Urge (animating pressure), and Witness (awareness capacity). Central to the model is the hypothesis that individuated patterns—ranging from fundamental particles to complex biological systems—are not merely products of fundamental forces, but co-constitutive partners in the collapse process. These patterns are termed tones (harmonic signatures) and described as geometric configurations through which undifferentiated field aspects collapse into determinate states. A secondary but significant hypothesis is that fundamental physical constants—most notably the fine-structure constant α ≈ 1/137—may represent resonance stability ratios in principle derivable from relational geometry, rather than arbitrary measured values. If well-founded, this would connect the framework to one of the deepest open problems in physics: the origin of the constants of nature. The paper outlines candidate testable predictions and interpretive consequences for quantum measurement, non-local correlations, and the emergence of spacetime. Proposals are offered as starting points for rigorous inquiry, not as established conclusions. All theoretical frameworks, concepts, and formulations in this work—including the Relational Field Theory, the Quantum Trinity, the NOSA framework (Notice, Own, Soften, ACT), and the concept of harmonic diamonds—are original contributions of the author. © 2026 Elizabeth Grigg (nee Baitson). All rights reserved. First published 3rd March 2026.
We develop a pregeometric reconstruction framework in which quantum theory, entanglement structure, gauge symmetry, locality, Lorentzian spacetime geometry, gravitation, and effective physical constants emerge from recursively stabilized coherent relational organization. The framework begins from a primitive relational substrate consisting of compositional accessibility processes endowed with complex coherent transport amplitudes. No background spacetime manifold, metric geometry, particle ontology, or external classical time parameter is assumed fundamentally. The central proposal is that coherent compositional structure is more fundamental than spacetime geometry. Hilbert organization emerges from consistency requirements on coherent relational composition. Observable physical sectors arise through projection stabilization: a dynamical stability-selection process acting on coherent relational transport. Decoherence partitions coherent accessibility structure into approximately factorizable sectors, producing emergent locality and classical persistence. Gauge symmetry emerges naturally as redundancy in coherent transport representation. Lorentzian geometry arises statistically from stabilized accessibility organization, while gravitation appears as thermodynamic relaxation of projected coherent geometry. The framework is formulated as a reconstruction program rather than a completed unified theory. Its aim is not to replace existing physics at the phenomenological level, but to explain why physical reality organizes itself through Hilbert structure, gauge redundancy, locality, relativistic spacetime, and thermodynamic gravitational dynamics. Particular emphasis is placed on the possibility that quantum nonseparability is more fundamental than spacetime locality.