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Configuration Realism: Foundations

Russell Tillitt

Published Jul 21, 2026• 0 citations
Publisher

Abstract

Configuration Realism (CR) is a physical ontology consisting of a finite, timeless configuration space. Each configuration is a complete arrangement of fundamental degrees of freedom; none evolves; phase attaches additively to degrees of freedom and is defined relationally, relative to a stage of an observer chain. Information exists only as finite, lossy physical records. Each record defines a compatibility class, the configurations it cannot distinguish, and probability is defined as counting over these classes. The framework's derived core is proved and computed in three companion papers under named structural assumptions. The population of an outcome class equals N|α|²: the Born rule as a theorem, with the frequency reading consuming exactly one typicality principle. The CHSH quantity assembled from integer counts reaches 2√2 to O(1/N), the ontology giving up counterfactual definiteness in the plain Bell scenario—and the absoluteness of outcomes where Wigner's-friend extensions demand it—rather than locality or free settings. And equipped with a local move set, counted populations propagate as wavepackets: the effective mass is the inverse hopping rate of elementary refinement, the potential is a cell-dependent phase cost, and the counted dynamics reproduces Schrödinger phenomenology with the number of configurations conserved exactly at every stage. Around this core, closure laws order records by refinement. Observers are chains of record-bearing stages; change is difference read along a refinement chain; time is the emergent coordinate that labels it; and closure distance, accumulating in discrete quanta, measures the restructuring refinement requires. Direct consequences follow for entropy and the arrow of time, for the classical limit, and for objectivity as redundancy. The remainder is a labeled research program: causal structure, Lorentzian geometry, geodesic dynamics, and horizon thermodynamics as conjectured continuum limits of closure geometry, with the constructions that would establish them stated as open problems. A dedicated section collects the framework's distinctive predictions—the O(1/N) family separating a counting world from continuum quantum mechanics—each with its mechanism and in-principle test. Every claim in the paper is tabulated with its status: postulate, theorem, verified, argument, conjecture, or open.

DOI
10.5281/zenodo.21523983

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In a finite, timeless configuration space where probability is counting and the population of an outcome class is proved to equal N|α|², we construct a refinement chain from local devices—nearest-neighbour beamsplitters and per-cell phase increments, all on the 3,600-value phase lattice of the companion models—and evolve wavepacket classes by literal enumeration. The small-angle brickwork realizes the lattice Hamiltonian H = −2η cos k + V(x): the effective mass m* = 1/(2η) is the inverse hopping rate—mass as resistance to record restructuring, obtained from the move set rather than posited—and the potential is a cell-dependent phase cost per closure step. Counted populations reproduce the Schrödinger spreading law σ²(t) = σ₀² + (t/2m*σ₀)², the group velocity to seven significant figures against the exact device chain, and harmonic oscillation at ω = √(2ηκ), with Σₓ nₓ = N exact at every stage—the counting form of unitarity, tested exactly. Two findings go beyond agreement. First, the counted packet has a literal edge: populations fall to one configuration and then to zero exactly where the Born value crosses 1/N, so a counting world's particle has finite support where the continuum Gaussian merely thins—the rational-probability prediction rendered in position space. Second, the ontology's record-relative definition of classes is load-bearing for dynamics: counting once at the measurement stage (the chain as one composite device) yields residues of O(1/N), measured log–log slope −0.94, whereas imputing an integer census to unrecorded intermediate stages—partitions where no records are—degrades the scaling to slope −0.62 through the amplitude granularity of few-configuration tail classes. A definitional clause changes dynamical accuracy by a factor of order √N. What is not shown is the formal continuum limit: given [CS] the discrete effective dynamics is derived, with the same conditional status as the companion theorems, and the passage to the continuum equation remains the framework's open problem. The cell structure is a named input [CS]—but not a foreign one: its three clauses are the discrete shadow of the framework's own emergent-space program, and we locate each, finding that a preferred partition is what the stability criterion already selects, that adjacency is what the elementary refinement move set already supplies, and that only the graph's large-scale regularity—together with an assumed uniformity of hopping rate, which is a flatness assumption—remains open. Reading the cells as emergent space has an immediate consequence: the construction's maximal group velocity is one instance of the framework's conjectured invariant speed, computed rather than posited, since a single elementary move defines both the refinement step and the spatial adjacency. Relaxing uniformity—a position-dependent hopping rate, hence a position-dependent effective mass—is the discrete form of curvature, and is the natural next model.
Computable Wavefunction Realism (CWFR) is an ontological framework for quantum theory derived from the semantic commitments of explanatory realism. Explanatory realism requires that physical magnitudes denote under admissible representations and that lawful evolution be closed on the intended ontic domain. Read literally, continuum ontology challenges these requirements through three distinct forms of semantic instability: domain instability arising from unbounded aggregation of fine-scale structure, range instability arising from non-open predicate structure, and closure failure under lawful evolution. CWFR does not begin by postulating computability or finite information; both arise as consequences of the semantic conditions required for physically meaningful ontology. The resulting answer is given by four postulates: Lorentz-invariant spectral band-limitation, identification of the ontic domain with states admitting Type-2 computable names under the chosen representation, admissible successor dynamics given by total Type-2 computable maps on the admissible domain, and restriction of physically meaningful predicates to those whose truth sets are open in the representation topology. The paper develops the structural consequences of these constraints and establishes non-vacuity through explicit admissible successor constructions. CWFR is not proposed as a replacement for continuum quantum mechanics at the level of mathematical formalism, but as a restriction on ontological interpretation imposed by semantic stability conditions. Macroscopic structure arises from refinement geometry induced by admissible stability predicates, classical worlds emerge as maximal refinement threads, and probability assignments operate on locally finite refinement partitions. Extension to realistic interacting quantum field theories is identified as a programmatic direction rather than a completed result.
A finite ensemble of definite, equally real configurations looks like it must obey the Bell inequalities: definite values, counted, are the textbook picture of a local hidden-variable model. We show that the instinct fails, and exhibit the failure by literal enumeration. In the finite, timeless configuration ontology of the companion papers—where probability is counting, phase is stage-relative, and the population of an outcome class is proved to equal N|α|²—the CHSH quantity assembled from ratios of integer counts reaches the quantum value 2√2 to O(1/N); at N = 4.2×10⁶, counted |S| = 2.8284267. The instinct fails for three separable reasons, each with a counting formulation. Structural exclusion—which configurations exist—is relative to the instantiated measurement bases and fixes only the aligned-basis correlations. Configurations bear outcome records only for the devices their correlation structure contains, so no configuration answers two incompatible settings and, by Fine's theorem, no Bell inequality can be derived. And the skew-angle statistics are carried by the phase structure of the class—the same cross terms that carry two-slit interference. A control run makes the mechanism visible: inserting a sector record, the which-path analog, forces per-class summation, the cross terms never form, and counted |S| falls below the local bound. Marginal counts are computed for each wing from that wing's structure alone, so the counting form of no-signaling holds by construction and is tested exactly, including at small N. On the no-go ledger the ontology keeps locality and free settings; for the plain Bell scenario its operative escape is the absence of counterfactual values, with the denial of absolute outcomes required only in Wigner's-friend extensions. One in-model prediction distinguishes the framework from continuum quantum mechanics: | |S| − 2√2 | = O(1/N), with the residue's scale robust and its sign conditional on the model's integer-apportionment rule, which is flagged as a postulate. This paper is a demonstration and a disentangling, not a new theorem: given the companion results, the violation is guaranteed; what is shown is why a counting ontology is entitled to it.
This treatise develops Informational Monism as a unified ontological architecture for emergent spacetime, quantum records, and bounded agency. It rejects the premise of an ontologically primary spatiotemporal container populated by localized particles, and treats physical reality instead as a coarse-grained, error-corrected rendering of a deeper informational state. Reality is organized across three tiers: an unmanifest Meta-Background; a low-dimensional Code Circuit carrying a global unitary description; and a rendered bulk in which embodied observers encounter classical spacetime, matter, and records. Within this architecture, the treatise offers interpretive accounts of three central problems in foundational physics. Bell correlations are read through joint commitment at the boundary rather than through bulk signalling. Quantum measurement is treated as the actualization of a single irreversible record under a question-and-commitment discipline that preserves Born neutrality. Black-hole information is handled through complexity-resolved conservation: fine-grained unitarity may be preserved while remaining inaccessible to resource-bounded decoders. A Minimal Core of six postulates supports these proposals without modifying the predictive apparatus of quantum mechanics. Broader extensions — including the Horizon Model of the Dynamic Absolute, the Principle of Super-Balance, and the conservation of meaning — are developed separately and marked as dependent on further postulates. The work distinguishes direction from status in the arrow of time, states labelled conjectures and conditions of revision, and presents a research programme with near-, mid-, and far-term horizons. The result is not a claim of final theory, but a systematic non-dualistic framework in which geometry, record formation, accessibility, and agency can be discussed within one architecture. Keywords: Informational Monism; emergent spacetime; holographic principle; quantum measurement; Bell non-locality; black hole information; complexity; Super-Balance; philosophy of physics; foundations of quantum mechanics
Quantum mechanics describes the potential future; general relativity describes the actualized past; the present is the process of actualization that turns the one into the other. That single move is Time–Actualization (TA), the foundational ontology set out here. TA assumes the quantum formalism and the relativistic causal structure, and derives neither: it adds no new physics, makes no new prediction, and asks to be judged on coherence and unifying power rather than on a measurement. It proposes a common ontological reading of measurement, EPR and the structural arrow of time. D5 locates the einselecting environment in the event's causal past; the couplings within that past remain imported, and the system/environment split is relocated rather than removed. In detail. The ontology is a minimal triplet (ρ, ν, ⟨P,≺⟩): a positive normalized state ρ on a local net of algebras (the conditional future potential), a primitive tempo ν (the rate of becoming), and a growing causal set ⟨P,≺⟩ (the past). What is not derived, and is named as such throughout, is the Born rule, Einstein's equations, and the constants. Eight core hypotheses yield seven consequences. A structural arrow of time, prior to thermodynamics (D1). A partial dissolution of the measurement problem (D2), with definiteness posited and the trigger open. Conditional dissolutions of EPR and the signalling worry (D3–D4), requiring a propagation law. A preferred basis anchored in the couplings carried by the causal past (D5). A conditional thermodynamic reading of the structural arrow (D6), requiring a posited bridge to physical reset, and further thermal assumptions for its value. And a conditional coherence lemma (D7): the actualization dynamics is generally covariant and no-signalling once the substrate carries the standard locality of physics. D7 claims less than the Rideout–Sorkin Bell causality condition, which is a screening-off analogue of Bell's local causality and is not inherited. We then develop the proposed physics of the tempo ν: a correspondence with a local quantum speed scale and a saturation choice, both posited. Quantum speed limits alone do not bound an ontic event count. The missing bridge must specify event resolution, additive counting and an applicable composable speed bound. The substrate cadence that reconstructs proper time is kept distinct from a system's tempo; their operational connection remains to be supplied. TA aims at empirical equivalence to quantum mechanics on a causal-set substrate. We label the admissibility requirement P5; its verification, including instrumented multi-time statistics, remains open. No distinctive prediction is claimed. The causal-set "swerve" is inherited from discreteness, generic and not specific to actualization. We close with the open dynamics, its system/substrate interface, the conditional constitution of systems, and the inherited limits of the programme.
Computable Wavefunction Realism (CWFR) is a finite-information ontology for quantum mechanics that preserves Everettian explanatory structure while rejecting continuum wavefunction realism as fundamental ontology. The motivation is semantic. Under explanatory realism, physical magnitudes must denote under an admissible semantics, and dynamics must be semantically closed on their ontic domain. Continuum ontology exhibits two independent instabilities. On the domain side, unbounded fine-scale structure permits lawful dynamics to force dependence on unbounded collections of independent contingencies, producing non-denoting magnitudes and loss of semantic closure. On the range side, continuum ontology admits distinctions among real-valued magnitudes that no bounded-input-dependent interface can stably track. In particular, computability is not a physically meaningful predicate at fixed finite resolution, since computable and noncomputable reals are both dense. Such distinctions are semantically inert as ontology. CWFR enforces the required stability conditions via three postulates: (I) a Lorentz-invariant spectral band-limit bounding independent fine-scale degrees of freedom; (II) amplitudes restricted to Type-2 computable complex numbers, aligning the range of magnitudes with admissible semantics; and (III) evolution by finitely specified, oracle-free successor maps that are total on the resulting configuration space. Within this finite-information setting, decoherence yields finite packet partitions and finitely branching successor structure, with Born weights defined over finite packet partitions, while the continuum Hilbert-space formalism survives only as semantic scaffolding for symmetry and approximation. Full constructions and proofs appear in the CWFR manuscript and companion papers.