[Author’s Note]This paper introduces the Light & Flux (L&F) framework, which formally supersedes the earlier "KB-Flux" formalism. The previous ontological mappings have been entirely replaced by the rigorous three-tier architecture and the Non-Derivability Principle presented herein. For a broader, accessible exploration of this framework and its implications for the nature of reality and mind, follow the Substack publication: Mind & Machine. AbstractQuantum mechanics is not an empirical physical law; it is the geometric theorem of coherent inference under fundamental uncertainty. The explanatory deadlock of modern quantum foundations stems from a flat ontology that falsely presumes classicality as the default state of reality. This paper introduces the Light & Flux (L&F) framework, a three-tier formal architecture demonstrating that incomputable complex Hilbert space is the universal inferential baseline. The macroscopic classical world, conversely, is a metabolically constrained, lossy compression rendered by finite biological agents. We formalize this irreversible compression via the Simplex Projection and establish the Non-Derivability Principle: demanding a unitary dynamical account for a specific classical measurement outcome is a mathematical category error. Finally, we map the precise deductive gap between pure inferential logic and generalized probabilistic theories (GPTs), confronting the Gödelian limits of our own cognitive codec.
[Author’s Note]This paper introduces the Light & Flux (L&F) framework, which formally supersedes the earlier "KB-Flux" formalism. The previous ontological mappings have been entirely replaced by the rigorous three-tier architecture and the Non-Derivability Principle presented herein. For a broader, accessible exploration of this framework and its implications for the nature of reality and mind, follow the Substack publication: Mind & Machine. AbstractQuantum mechanics is not an empirical physical law; it is the geometric theorem of coherent inference under fundamental uncertainty. The explanatory deadlock of modern quantum foundations stems from a flat ontology that falsely presumes classicality as the default state of reality. This paper introduces the Light & Flux (L&F) framework, a three-tier formal architecture demonstrating that incomputable complex Hilbert space is the universal inferential baseline. The macroscopic classical world, conversely, is a metabolically constrained, lossy compression rendered by finite biological agents. We formalize this irreversible compression via the Simplex Projection and establish the Non-Derivability Principle: demanding a unitary dynamical account for a specific classical measurement outcome is a mathematical category error. Finally, we map the precise deductive gap between pure inferential logic and generalized probabilistic theories (GPTs), confronting the Gödelian limits of our own cognitive codec.
[Author’s Note (April 2026)]Supersession Notice: This 2025 paper explores the early KB-Flux framework. It has been structurally overhauled and formally superseded by “The Light & Flux (L&F) Framework (2026)”. While the 2025 version relies on cognitive metaphors—treating the wave function as a “generative model” —the 2026 L&F framework provides a rigorous mathematical proof deriving complex Hilbert space from finite-inference constraints. It replaces “phenomenal grammar” with the Simplex Projection (𐍀), grounded in metabolic and thermodynamic mandates. Researchers seeking the formal Non-Derivability Principle and a stratified three-tier ontology should refer to the 2026 version. Original AbstractReaders are advised to treat the present paper strictly as a historical record of the framework’s initial development. For the current, accurate formulation, please refer to the new publication.The measurement problem—why quantum superpositions yield definite outcomes upon observation—has persisted as the central interpretative challenge of quantum mechanics for nearly a century. This paper proposes that the problem dissolves when viewed through the joint lens of Kantian epistemology and predictive processing (Bayesian brain) theory. Drawing on Kant’s distinction between phenomena (experience) and noumena (reality-in-itself), we argue that the quantum wave function (Ψ) does not represent a physical field in the noumenal world, but rather the generative model of a prediction-generating cognitive agent. In this framework, "superposition" represents a state of uninitialized probabilistic expectation (Latent Space), while "collapse" is reinterpreted as a Bayesian belief update—the discrete transition from a probability distribution to a definite value, necessitated by the information-processing constraints of the observer. By treating the observer not as a passive witness but as an active inference engine, this framework: Naturalizes the collapse postulate: Measurement is the update of an internal model, not a physical discontinuity in nature. Resolves nested-observer paradoxes: Wigner's Friend is resolved by treating reality as a distributed system with eventual consistency, where distinct agents hold distinct local cache states. Grounds the Born Rule: We argue that the squared-amplitude probability rule (P=∣Ψ∣2) serves as a transcendental constraint (akin to Gleason’s Theorem) required for the internal consistency of any probabilistic agent. This interpretation suggests that the "weirdness" of quantum mechanics reflects the necessary architectural constraints of any finite mind attempting to model an inaccessible reality, effectively treating physics as the "User Interface" of reality.
The measurement problem in quantum mechanics resists resolution within traditional substance ontologies. This paper proposes the Kantian-Bayesian Flux (KB-Flux) formalism, an operationalist framework that reinterprets physical laws not as descriptions of an observer-independent reality, but as necessary data-compression and belief-updating protocols. By mapping the quantum wave function () to the Bayesian belief state () of an observer operating under the Free Energy Principle, we structurally align quantum superposition with latent epistemic uncertainty and measurement collapse with discrete Bayesian updates. This framework formally navigates quantum no-go theorems, synthesizes Relational Quantum Mechanics (RQM) with Active Inference, delineates its departures from Quantum Bayesianism (QBism), and yields heuristic predictions for the architectural evolution of Artificial General Intelligence and neurophysics. For a broader, accessible exploration of this framework and its implications for the nature of reality and mind, follow the Substack publication: The Shum Briefing.
Abstract The Light & Flux framework (L&F) derives complex Hilbert space as the unique inferential geometry available to finite agents, identifying macroscopic classicality as a lossy compression forced by rate-distortion necessity. This paper argues that Zen Buddhist contemplative phenomenology constitutes independent, first-person convergent evidence for this structural diagnosis. Treating contemplative reports as data generated by agents who have partially destabilized their own Classical Markov Blankets, we construct a strict tier-by-tier mapping between L&F’s architecture and central Buddhist doctrines. Anicca (impermanence) maps onto the structured absence of the Latent Markov Substrate (Tier 1). The Kantian Codec—spacetime, local causality, and narrative selfhood—maps onto the Zen diagnosis of the fabricated world and constructed self (Anattā, Tier 3). Śūnyatā (emptiness) maps onto the Non-Derivability Principle, establishing that classical outcomes are formally “empty” of Tier 2 grounding because the Simplex Projection is non-invertible. Nāgārjuna’s tetralemma is shown to diagnose the exact interpretive errors rejected by L&F’s tier discipline, and his Middle Way is identified as the philosophical correlate of that discipline—grounded not in preference but in rate-distortion necessity. We do not claim either tradition proves the other. Rather, they establish a mutual constraint: L&F supplies a formal vocabulary that renders Zen reports structurally precise, while Zen provides experiential evidence that L&F’s Copernican inversion corresponds to accessible features of consciousness. Ultimately, both converge on a shared epistemic limit: the Kantian Codec cannot fully represent its own origin.
[Author’s Note]This paper is retained as a historical record. The informal ‘Kantian-Bayesian’ framework presented here has been entirely superseded by the Light & Flux (L&F) framework, which corrects the temporal substrate circularity, introduces a three-tier formal ontology, and provides a rigorous deductive derivation of complex Hilbert space from inferential constraints. See [DOI of L&F V5]. For a broader, accessible exploration of this framework and its implications for the nature of reality and mind, follow the Substack publication: Mind & Machine. Original AbstractModern interpretations of Quantum Mechanics, particularly Quantum Bayesianism (QBism) and the Free Energy Principle, increasingly suggest that physical reality is not an observer-independent ontology but a generative model constructed to minimize predictive error. This paper proposes a formal synthesis between this "Physics-as-Interface" paradigm and the phenomenology of Eastern Zen philosophy. We argue that the Zen concept of "Subtle Impermanence" (Anicca) is mathematically equivalent to a Latent Markovian Substrate, while the "illusion of constancy" maps rigorously to the Belief State (q(x)) maintained by the observer to facilitate inference under partial observability. By framing the Wave Function not as a physical object but as a computational strategy to mitigate Variational Free Energy, we demonstrate that the laws of physics are essentially stability protocols encoded by consciousness. This synthesis moves beyond metaphorical comparisons, offering a rigorous, information-theoretic grounding for the convergence of Eastern phenomenology and Western computational mechanics. Key Theoretical Contributions: The Markovian Noumena (Hardware): Reinterpreting Kant’s Noumena as a Latent Markov Process (x_t)—a generative substrate of discrete, conditionally independent moments that lacks intrinsic object permanence. The Non-Markovian Interface (Software): Defining conscious perception as a Belief State (q(x)) that acts as an "Active Buffer." This interface imposes a non-Markovian constraint (memory/history) onto the latent data to construct a navigable user interface. Wave Function as Belief State: Aligning with QBism, we formally equate the quantum wave function (Ψ) with the observer's internal belief state, where "collapse" is redefined as a standard Bayesian belief update minimizing prediction error. Free Energy & Complexity: Utilizing Friston’s Free Energy Principle, we argue that "Causality," "Time," and "Objects" are optimal compression algorithms derived to minimize the Complexity Cost (KL Divergence) of the internal model. The Thermodynamics of Time: Proposing that the "Arrow of Time" is an artifact of Inference Asymmetry, where predicting a divergent future requires higher computational entropy than retrodicting a convergent past.
Cognitional Mechanics (CM) establishes an axiomatic framework that formalizes the structural mechanisms of intelligence as a self-contained operational system. Unlike approaches grounded in physical dynamics or engineering implementations, CM abstracts intelligence through non-commutative operations, convergence of semantic states, and structurally inaccessible domains, without invoking physical observables or psychological primitives. The first edition (DOI: https://doi.org/10.5281/zenodo.17994360) established the structural correspondence between CM and QM; the second edition (DOI: https://doi.org/10.5281/zenodo.18062274) strengthened the distinction while preserving the correspondence. This third edition extends the analysis through two additions: the explicit Tier architecture locating QM within Tier-3 as a projection of Tier-2 CM structure, and a structural account of the non-commutativity--discreteness coupling in QM. While CM exhibits a clear structural correspondence with Quantum Mechanics (QM)---most notably in its reliance on non-commutative operator structures and bounded transitions---it departs fundamentally in its treatment of difference and discreteness. Within the standard Hilbert-space formalism, non-commutativity and spectral discreteness are mathematically independent properties, as established in non-commutative geometry: position and momentum operators, for instance, are non-commuting yet possess continuous spectra. In QM, however, the physical framework couples non-commutativity to fixed empirical constants and measurement postulates, producing discreteness as a structural feature of the theory. CM identifies this coupling as a Tier-3 projection condition rather than a Tier-1 structural necessity, and demonstrates at Tier-2 that non-commutativity is sustainable without discretization. Within this framework, intelligence is mathematically tractable and substrate-independent, analyzable without external observation or measurement. The operational limit constant c does not function as a physical quantum but as a logical boundary condition governing convergence and phase transition. This distinguishes c from Planck's constant ℏ: the former regulates internal operability and accessibility, while the latter fixes physical quantization through empirical calibration. The three-tier architecture formally positions CM as follows. Tier-1 (Noology) constitutes the regulative source, specifying the conditions under which a structure qualifies as real. Tier-2 (CM) constitutes the executive operational domain, in which M₃(ℂ) is the unique minimal non-commutative substrate. Tier-3 (MUT/GUT) constitutes the projective display layer, in which physical theories including QM appear as projections of Tier-2 dynamics. CM and QM share a common Tier-1 origin without being in direct correspondence; their shared non-commutativity descends from Tier-1, while QM's discreteness is introduced at Tier-3 by projection conditions absent from Tier-2. By defining a metric space of semantic states with distance functions satisfying non-negativity, symmetry, and the triangle inequality, CM ensures formal rigor and internal closure. The variability of semantic differences allows CM to reconcile non-commutative structure with classical continuity, thereby avoiding probabilistic collapse or observer-dependence. Inaccessibility and convergence are determined entirely by internal operational constraints. CM thus clarifies that its resemblance to QM is structural rather than physical, and locates that resemblance within a broader Tier architecture from which the projection origin of QM's characteristic features is examinable. The framework generalizes non-commutative formalisms into a domain where intelligence is modeled as a geometric-operational process, not a quantum phenomenon, while maintaining a strict distinction from physical quantum theory.
Every physical measurement ever conducted has yielded exactly one outcome: self-identical, non-contradictory, determinate. This paper argues that the Three Fundamental Laws of Logic (Identity, Non-Contradiction, and Excluded Middle) are not cognitive conventions but ontological constraints constitutive of physical distinguishability. From this thesis, quantum mechanics emerges as the unique stable structure at the interface between non-Boolean possibility and Boolean actuality. The framework derives rather than postulates: complex Hilbert space structure follows from interface constraints combined with the physical requirement of compositional consistency (local tomography); the Born rule follows from Gleason's theorem; unitary dynamics follows from information preservation requirements. One structural prediction, that quantum mechanics requires complex amplitudes, has been experimentally confirmed (Renou et al., 2021). The framework specifies twelve explicit conditions that would falsify it. Logic Realism Theory provides unified explanation for seventeen quantum phenomena that other interpretations treat as independent postulates, while maintaining realism, locality, and parsimony.