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General Relativity as a Description of Actualised Reality, Quantum Mechanics as a Description of its Emergence: A Synthesis Based on Causality-Information Bijection

Vladimir Veselov

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.31582.80964

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We present a conceptual and partially formalized framework in which general relativity (GR) and quantum mechanics (QM) are viewed not as competing theories, but as descriptions of different phases of a single causal-informational process. GR describes actualized geometric reality (the space of effects E), while QM describes the emergence of this reality from a pre-geometric domain of potentials (the space of causes C). The key element is a map Φ : C → E that preserves information but breaks time symmetry. For the first time, we propose a rigorous mathematical framework fully verified in the Lean 4 proof assistant, including bridges between spectral dimension, algebraic nuclei, and Čech topological obstructions. This synthesis resolves the measurement problem, the continuum limit problem, and Zeno's paradox, and yields testable predictions for the primordial perturbation spectrum, gravitational wave dispersion, and variation of the fine-structure constant. Published by The Institute for Applied Ontological Mathematics.

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We present a conceptual and partially formalized framework in which general relativity (GR) and quantum mechanics (QM) are viewed not as competing theories, but as descriptions of different phases of a single causal-informational process. GR describes actualized geometric reality (the space of effects E), while QM describes the emergence of this reality from a pre-geometric domain of potentials (the space of causes C). The key element is a map Φ : C → E that preserves information but breaks time symmetry. For the first time, we propose a rigorous mathematical framework fully verified in the Lean 4 proof assistant, including bridges between spectral dimension, algebraic nuclei, and Čech topological obstructions. This synthesis resolves the measurement problem, the continuum limit problem, and Zeno's paradox, and yields testable predictions for the primordial perturbation spectrum, gravitational wave dispersion, and variation of the fine-structure constant. Published by The Institute for Applied Ontological Mathematics.
Contemporary quantum field theory is typically introduced through the lens of particle mechanics, treating fields as mathematical auxiliaries from which particles — the 'real' objects — are derived. This paper argues for an inversion of that priority. We propose that quantum fields are the primary ontological substrate: immortal, pre-propertied, and total. Particles are not objects within fields but transient events — actualisations — that occur when a discrete set of conditions distributed across the field simultaneously converges. This framework, which we term the Field-Actualisation Model (FAM), resolves several canonical paradoxes of standard quantum mechanics — including measurement, superposition, and wavefunction collapse — by revealing them as artefacts of particle-first framing rather than genuine features of nature. We reinterpret the Schrödinger wavefunction as a condition-density map, derive its empirical predictions under this lens, show consistency with all known experimental results, and explore the implications for emergence, information, and the deep structure of physical reality.