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Informational Gravity III: Quantum Mechanics and the Structure of the Causal Network

Sander Hollebrand

Published Feb 22, 2026• 1 citation
Publisher

Abstract

We extend the Informational Gravity framework (Papers I-II) to quantum mechanics. Papers I and II established the nodes of the causal network (informationally bound energy) and defined their spatial relationships through bidirectional causal connectivity. This paper identifies the connections: massless interactions as timeless field potentials that link nodes without temporal extension. This identification yields a taxonomy of physical relationships - causal connections, entanglement, and the absence of connection - that proposes to reframe the EPR paradox without invoking nonlocality, accommodates Bell inequality violations within its ontological categories, provides an account of delayed choice experiments, and aims to dissolve the measurement problem by proposing that every interaction between a timeless connection and a time-bound system (any system with mass and proper time) constitutes a projection - removing the need for a special category of "measurement." An independent result - that finite informational capacity of a discrete network grounds a structural reading of the uncertainty principle - connects quantum indeterminacy to the framework's foundational structure. The framework does not modify quantum mechanics but offers an interpretive ontology in which its features become natural consequences of a causal network rather than irreducible axioms. We argue that this ontology renders the Many Worlds interpretation unnecessary.

DOI
10.5281/zenodo.18735028

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We extend the Informational Gravity framework (Papers I-II) to quantum mechanics. Papers I and II established the nodes of the causal network (informationally bound energy) and defined their spatial relationships through bidirectional causal connectivity. This paper identifies the connections: massless interactions as timeless field potentials that link nodes without temporal extension. This identification yields a taxonomy of physical relationships - causal connections, entanglement, and the absence of connection - that proposes to reframe the EPR paradox without invoking nonlocality, accommodates Bell inequality violations within its ontological categories, provides an account of delayed choice experiments, and aims to dissolve the measurement problem by proposing that every interaction between a timeless connection and a time-bound system (any system with mass and proper time) constitutes a projection - removing the need for a special category of "measurement." An independent result - that finite informational capacity of a discrete network grounds a structural reading of the uncertainty principle - connects quantum indeterminacy to the framework's foundational structure. The framework does not modify quantum mechanics but offers an interpretive ontology in which its features become natural consequences of a causal network rather than irreducible axioms. We argue that this ontology renders the Many Worlds interpretation unnecessary.
We propose a minimal discrete model in which causality, time, spacetime geometry, and quantum measurement emerge from a single primitive concept: the node (boundary). A node is defined as an irreversible completely positive (CP) map representing interaction simultaneity—the fundamental unit where states undergo non-unitary transformation. Conventional causality is reconceptualized as a chain of such nodes connected by reversible propagation. Time is not an external parameter but the cumulative count of nodes; temporal flow velocity is proportional to node density. We demonstrate that Minkowski spacetime emerges as the continuum limit of a node network, with gravitational curvature arising from spatial gradients in node density. The quantum measurement problem dissolves naturally as nodes represent the only loci of irreversibility. We derive testable predictions for gravity-induced decoherence independent of gravitational phase shifts, offering clear falsifiability. This framework unifies gravity, quantum mechanics, thermodynamics, and temporal phenomenology through a single ontological primitive: the event itself.
This document is not a proposal for a new quantum gravity theory. It does not derive the equations of general relativity or quantum field theory from first principles, and does not produce testable predictions within quantum gravity research. What this document offers is narrower and more modest: a set of conceptual notes identifying structural parallels and potential points of contact between Coherence Cosmology (SR103EN/SR104EN) and open conceptual problems in quantum gravity research. The connections proposed here are ontological, not mathematical. They may serve as conceptual stimuli — nothing more, nothing stronger. The six potential points of contact are: 1. Time without global present: the present is defined not as a global temporal coordinate but as a local structural property — the terminal coherent antichain section of referenced structure within each local structure. This offers a structural complement to the Wheeler-DeWitt timeless universe. 2. Present as coherent antichain: the formal definition of the present as an antichain section — distinct from causal set theory’s dynamically generated causal structure — offers a conceptual alternative: static crystallized order rather than dynamical generation. 3. Static order rather than dynamical generation: the globally coherent structure U_total is already complete. All sections are already crystallized within U_total. This complements timeless and block universe frameworks with a structurally defined local present. 4. Probabilistic states as fully real: probabilistic states are the foundational mode of existence — fully real without requiring collapse. Definite states arise as a special condition from interference-induced crystallization. 5. Definite-state crystallization at interference coordinate: definite states are crystallized at the coordinate where the structural condition of interference is satisfied — not triggered by observation. Observation confirms; it does not cause. This offers an alternative ontological framing for closed-universe quantum mechanics. 6. Observer and consciousness as structural threshold: the observer is a local structure within U_total — not a special ontological category. Whether a structure “has consciousness” is a definitional threshold, not an objective boundary in U_total. Prerequisite: SR103EN Formalization DOI: 10.5281/zenodo.20405659 Prerequisite: SR104EN Formalization DOI: 10.5281/zenodo.20405676
Abstract This article does not claim to present a successful theory of quantum gravity. Instead, it undertakes a systematic and self-aware survey of the research program aiming to derive both quantum mechanics and general relativity from a purely relational network, based on a set of minimal ontological postulates. The framework rests on three axioms: (1) physical reality consists of nodes without intrinsic properties and their symmetric relations; (2) the relation strengths are non-negative and symmetric, with the total information capacity conserved as an ensemble expectation; (3) local evolution is restricted to redistribution of relations within triads. We honestly display and rigorously distinguish the conceptual achievements from the essential obstacles of this framework. On the quantum side, we obtain solid conceptual progress: the Born rule, unitary evolution, and topological nonlocality of entanglement all emerge naturally as representation-theoretic consequences of the statistical description of a finite information capacity network. This strongly suggests that the mathematical structure of quantum mechanics may be a generic feature of the statistical representation of any complex informational system satisfying “finite information + local relational evolution.” On the gravitational side, however, we encounter chasms that current mathematical and conceptual tools cannot bridge. A central contribution of this article is to clearly label these obstacles as fundamental open scientific problems: the conflict between a positive-definite relational ontology and the target of pseudo-Riemannian signature (signature problem); the missing coarse-graining procedure from a discrete network to a smooth manifold (coarse-graining problem); and the disharmony between external algorithmic time and emergent physical time (time problem). We argue that these are not technical details unique to this framework, but core challenges that any “spacetime from relations” program must confront. The article positions itself as a “conceptual cartography”—it precisely delineates the known boundaries of this research program, exposes the fatal rift often bypassed in mainstream discourse, and transforms all unresolved issues into a formal invitation for future investigation.
Traditional physics and classical intuition rely heavily on the concept of unilateral, linear causality, in which causes strictly precede their effects in time. However, deep conceptual challenges arising from quantum mechanics, general relativity, and modern theories of quantum gravity indicate severe limitations of this one-way temporal causal chain at the fundamental level. This paper proposes an alternative physical paradigm: causality is not a localized process evolving unidirectionally along a fixed time axis, but rather a synchronic network jointly determined by the holistic physical structure, global boundary conditions, and topological-geometric features of the system. By analyzing delayed-choice experiments, quantum entanglement, action principles in classical and quantum field theories, and closed timelike curves in general relativity, we formulate a mathematical framework for "holistic structural causality" that operates independently of a unidirectional arrow of time. This framework demonstrates that the forward flow of time is merely an emergent thermodynamic property at the macroscopic scale. At the fundamental level, global phase-space constraints dictate the co-existence and mutual relations of events. This paradigm offers new perspectives for resolving the quantum measurement problem and the time-symmetry paradox, while unlocking valuable theoretical potential for modern cosmology and quantum gravity.
Paper 74 — No Quantum Superposition This paper argues, by reductio ad absurdum, that the physical realisation of superposition — simultaneous multi-location existence — is incompatible with seven independent and well-established physical principles: (1) the observational fact that no infinite physical quantity has ever been measured; (2) conservation of energy; (3) the mass-energy equivalence E = mc²; (4) the Bekenstein entropy bound; (5) the second law of thermodynamics; (6) the Heisenberg uncertainty principle; and (7) causality. The foundational identification is that information, energy, and mass stand in proportional existential relation (Bekenstein bound: I ∝ M; Landauer principle: ΔE ∝ ΔI; mass-energy equivalence: E = mc²). Complete superposition requires infinite information processing, and therefore infinite energy and infinite mass — quantities universally absent from the observational record of physics. Finite N-state superposition is excluded by a complementary argument: maintaining N states simultaneously requires N times the information-processing load of a single undetermined state, violating the principle that nature selects minimum-load configurations. The positive alternative proposed is the undetermined state: during matter-wave propagation, the matter wave is real and physically present, but matter has not yet appeared at any location. This is not a hidden-variable state but an ontological absence of localisation prior to the formation of a constructive interference maximum. Paper 75 — The Double-Slit Experiment Reinterpreted This paper applies the undetermined-state ontology to the paradigmatic demonstration of quantum mechanics. The de Broglie matter wave — a real physical wave — passes through both slits, while the particle remains in an undetermined state until a constructive interference maximum is formed at the detection screen. The disappearance of the interference pattern upon which-path measurement is explained without wavefunction collapse: the measurement interaction physically disrupts the matter wave's coherent two-slit propagation. Three experimentally testable predictions distinguish this framework: (1) weak-measurement trajectory reconstruction should reveal single-path trajectories inconsistent with simultaneous two-slit passage; (2) diffraction fringe spacing should depend on the mass density of the slit material, because denser slit edges generate a steeper refractive-index gradient; (3) the fringe pattern should exhibit a density-dependent phase shift measurable with current matter-wave interferometry technology. The Schrödinger equation and Born's rule are retained without modification. Paper 76 — Discriminating Experiments for the Constructive-Interference Account of Gravity This paper derives the specific numerical values predicted by Paper 29 — n(r) from the Schwarzschild metric, Δφ = k₀∫[n₁(r)−n₂(r)]dr from the medium-structure integral, and Δx_max = f(∇n, geometry, λ₀) from the interference structure — and assesses whether current experimental technology can measure the gap between Paper 29's predictions and standard QM's predictions. Three formal conditions for a discriminating experiment are established: structural absence of the variable from standard QM, signal exceeding current resolution, and impossibility of alternative explanation. Two experimental classes satisfy all three conditions with existing apparatus: COW path-geometry (predicted δ(Δφ) ~ 10⁻³ rad vs. resolution ~10⁻⁴ rad, path shape structurally absent from the standard COW formula) and slit-material density (predicted Δx_max ~ tens of nm vs. resolution 1–5 nm, material density structurally absent from Δy ≈ λL/a). Cumulative agreement across both systems constitutes genuine inductive support for the proposed mechanism. Paper 77 — From Electrons to Fullerenes This paper addresses three questions that Paper 76 does not: (1) why the slit-material density experiment has never been performed in the hundred years since matter-wave interferometry began — the answer being that standard QM contains no density variable in the slit formula, so experimenters had no reason to vary it, with the Copenhagen prohibition on mechanism questions as the deeper structural reason; (2) why confirmation in exactly two systems — electrons and fullerenes C₆₀ — is sufficient to establish the theoretical outline across six orders of magnitude in mass, because these systems are maximally independent in particle type, mass, apparatus, energy scale, and decoherence environment; (3) what confirmation across this mass range would establish for physics: the first experimentally supported identification of the physical mechanism of gravity, the first experimentally verifiable quantum-gravity connection at accessible energy scales, a physical grounding of Born's rule, and a mechanistic account of the measurement problem. A complete three-layer control protocol for excluding the slit-width confound is specified. Paper 78 — A Three-Dimensional Experimental Matrix This paper extends the experimental programme by introducing slit thickness as a third independent variable alongside matter-wave species and slit-material density. The wave-mechanical account predicts that phase shift scales linearly with slit thickness d: Δφ(ρ,d) = (2π/λ)·[n(ρ)−1]·d — a prediction structurally absent from standard QM, which assigns no physical role to slit thickness. The resulting 5×5×3 matrix of 75 independent measurements has a random coincidence probability of approximately 1/1,728,000, rendering chance agreement with theoretical prediction physically impossible. Three-layer control protocols for fabrication, TEM cross-section verification, and linearity testing are specified for the thickness dimension. Together, the five papers constitute a complete programme: ontological foundation (P74), phenomenological reinterpretation (P75), formal discriminating analysis (P76), strategic and historical argument (P77), and three-dimensional experimental design (P78).
Existing mainstream quantum interpretations, such as the Copenhagen School's "wave function collapse" and Everett's many-worlds theory, respectively face ontological discontinuity difficulties and ontological redundancy questions. To break through this predicament, this paper presents a completely new quantum mechanics interpretation framework - the "mechanics network interpretation". The framework places "interaction" in ontological priority, arguing that the essence of physical reality is a holistic "mechanical network" composed of interactions. In this image, "particles" are the stable nodes in the network, "waves" are the coordinated dynamic responses of the network, and "information" is the material configuration that carries instructions for specific behavior. The core principle of this paper, the "Channel stability principle," states that quantum measurements are not mysterious collapses, but rather the dynamic results of observation arrangements (strong interactions) sifting out different dominant "channels" on the network: observations of "particleality," destroy coherent channels, while observations of "wave-like," protect or purify coherent channels. This framework provides a continuous, deterministic and physically intuitive explanation for the problems of quantum superposition, entanglement and measurement without the introduction of the "wave function collapse" postulate or an infinitely split universe. The paper applies this framework to key thought experiments (such as the EPR paradox, the Aspe experiment) and the latest empirical studies (such as the USTC optical tweezers atom experiment), showing that quantum nonlocality can be interpreted as an expression of the "overall structure" of the network rather than action at a distance; Quantum-classical transitions result from variations in the precision of network control. By comparing with systems of mainstream interpretations, this paper clarifies the unique value of the new framework in resolving conceptual dualism and returning to realism and continuity. As a "concept-first" research program, the value of this paper lies in providing a self-consistent worldview and a clear conceptual vocabulary, laying the necessary theoretical foundation for the future construction of a strict mathematical formal system and the derivation of novel physical prophecies.