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.
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.
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.
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.
The ontology of quantum theory remains contested. Particle ontology struggles with the non-classical behavior of quantum entities, while wavefunction realism appears to locate the fundamental ontology in a high-dimensional mathematical state space rather than in ordinary physical space. Quantum field theory further complicates particle ontology by treating particle number as representation-dependent and, in interacting theories, often only emergent or approximate. This paper develops a philosophy-facing account of Geometric Monism (GM), a continuous-geometric ontology in which quantum entities are modeled as finite torsional standing-wave structures in a 5-dimensionalm geometric manifold governed by a universal Planck Stiffness κT = c4/G.The aim is not to replace the predictive formalism of quantum mechanics or quantum field theory. Rather, the paper asks whether the entities represented by those formalisms may be interpreted as continuous geometric structures rather than point particles, abstract wavefunctions, or merely emergent field excitations. GM distinguishes between continuous entity ontology and localized interaction events. To resolve the scale mismatch between the fundamental geometric stiffness and empirical observables, GM proposes a tripartite ontology: a Planck-scale topological core, a dimensional matching transition layer, and a macroscopic exterior dressing field. Observed measurement outcomes arise through boundary-conditioned interactions with this macroscopic dressing in accessible 4-dimensional spacetime.The paper presents the core ontological commitments of GM, including the active but observationally constrained embedding coordinate, the tripartite scale ontology, and the exact 40-degree operational microscopic sector obtained by imposing the Anti-Axial Constraint on the 5-dimensional torsion tensor. These commitments are compared with point-particle ontology, wavefunction realism, Bohmian mechanics, Everettian interpretations, and structural realism. The result is a proposed continuous-geometric primitive ontology: quantum objects are real, multi-scale geometric entities, while probabilities and measurement outcomes arise from localized boundary access to their macroscopic field extensions. Furthermore, the paper outlines the rigorous mathematical stability proofs required to validate such continuous ontologies.
Modal Actualism offers a realist, non-Everettian interpretation of quantum mechanics that preserves unitary dynamics while explaining definite outcomes without invoking collapse or branching. The central distinction is between modal structure—the full set of decoherent histories physically supported by the universal wavefunction—and actuality, the single decoherent history that is realised. Decoherence partitions modal structure into quasiclassical trajectories, but only one such trajectory constitutes the actual worldline. Probability is interpreted as modal measure: a structural feature of the wavefunction that quantifies the weight of possible histories without implying their actuality. This framework dissolves foundational paradoxes by blocking the inference from modal multiplicity to ontological multiplicity, thereby avoiding Everettian inflation while retaining the explanatory power of decoherence. Modal Actualism reconciles quantum correlations with relativistic locality and reframes cosmological fine-tuning as a feature of modal structure rather than evidence for multiverse ensembles
The causal closure of the physical is often formulated as the claim that every physical effect has a sufficient physical cause. That formulation leaves two parameters tacit: the domain over which closure is asserted, and the completeness relation—causal, dynamical, or explanatory—that closure asserts of it. Both become unstable when the term physical is indexed to competing quantum ontologies. Wave-function realism treats the quantum state as a field on a high-dimensional space, whereas primitive-ontology, spacetime-state, multi-field, and nomological approaches characterize the fundamental ontology differently. I distinguish spatiotemporal-domain closure from fundamental-physical closure and separate causal closure from dynamical and explanatory completeness. Conditional on wave-function realism, spacetime-restricted closure fails if ordinary spacetime is derivative, but theory-relative closure may remain true once the wave function is counted as physical. The apparent conflict therefore does not establish a trans-domain causal breach. It reveals a formulation dilemma for causal arguments for physicalism: a spacetime-restricted closure principle is too narrow to accommodate serious quantum ontologies, while a theory-relative principle requires an independent, non-question-begging criterion of physicality—and an explicit bridge from dynamical to causal completeness—before it can exclude nonphysical mental causes. Quantum ontology thus converts the familiar problem of characterizing the physical from a deferrable objection into a structural requirement on causal arguments for physicalism, without supporting interactionist dualism. It also explains why appeals to Hilbert space, the PBR theorem, the Born rule, or Bohmian guidance cannot by themselves yield the stronger conclusion.
Continuum physical theories model states as real- or complex-valued fields and dynamics as linear operators on infinite dimensional spaces. Under explanatory realism, an ontic interpretation incurs two semantic commitments: (i) real-valued physical magnitudes must denote relative to the theory’s admissible state interface, and (ii) the theory must be semantically closed under its own evolution and readout rules. Denotation is interface-relative: it requires the existence of a total continuous witness on names. Equivalently, it requires bounded input dependence at each fixed finite precision. Failure of bounded input dependence is captured by forced extensional totalization (FET), in which even coarse output precision cannot be stabilized by any finite prefix of a state name. We give a physics-facing construction of FET for the three-dimensional wave equation with Kirchhoff point readout. We construct a countable family of smooth, compactly supported, finite-energy initial states localized on pairwise disjoint shrinking latitude belts on the Huygens sphere, and restrict the admissible domain to states containing at most one localized contingency. Each nonzero belt perturbation is normalized to contribute the same order-one amount to the readout, while the zero state contributes none. Under any non oracular state interface satisfying a minimal locality-of-access condition, no finite prefix can rule out activation of some sufficiently deep belt. The induced point readout therefore behaves like the existential predicate "some belt is active'', exhibits FET at the zero state, and fails to denote. Semantic closure fails: the evolution-readout pipeline yields a localized point magnitude that is non-denoting relative to the fixed state interface. The result isolates a semantic obstruction to ontic readings of continuum dynamics. It is independent of computability, predictability, or measurement feasibility, and it holds despite smooth compact support, finite energy, and classical well-posedness.