Qubit Fidelity Asymptote and the Epistemic Residue of Quantum Probability: How Increasing Precision Creates an Irresolvable Tension with Ontological Indeterminism
The standard quantum-mechanical interpretation holds that the probabilistic character of measurement outcomes is an irreducible ontological feature of nature. This paper examines that claim against four experimental results in qubit control: feedback-based active reset of a silicon spin qubit reaching [Kobayashi et al., 2023]; single-spin coherence of s in isotopically purified SiC [Anderson et al., 2022]; deterministic preparation of optical qubits with coherent feedback [2109.08641]; and resilience of OAM qubits above 90% fidelity in high-loss conditions [Giovannini et al., 2011]. In all four cases, every improvement of engineering control lifts the fidelity ceiling without evidence of an intrinsic probabilistic floor. We demonstrate that this pattern constitutes a formal logical tension with ontological indeterminism: an irreducibly stochastic system should exhibit a control-independent fidelity bound, whereas an epistemically noisy deterministic system should exhibit precisely the observed monotonic growth. Within the Conjugate Photonic Model (CPM), the electron and photon are Hopf-soliton electromagnetic structures with a well-defined internal phase at every instant. Quantum probability is then the statistical average over this phase, inaccessible at current detector resolution — epistemic, not ontological. We further show that the standard probabilistic interpretation survives not by superior evidential weight but through two immunisation mechanisms: flexible ad hoc reinterpretation of any fidelity improvement as "engineering noise reduction", and the undeclared ontological decree that binary detector clicks are fundamental reality. Removing that decree dissolves the Bell argument against local determinism. The evidence weight, assessed symmetrically, favours the deterministic interpretation.
The standard quantum-mechanical interpretation holds that the probabilistic character of measurement outcomes is an irreducible ontological feature of nature. This paper examines that claim against four experimental results in qubit control: feedback-based active reset of a silicon spin qubit reaching [Kobayashi et al., 2023]; single-spin coherence of s in isotopically purified SiC [Anderson et al., 2022]; deterministic preparation of optical qubits with coherent feedback [2109.08641]; and resilience of OAM qubits above 90% fidelity in high-loss conditions [Giovannini et al., 2011]. In all four cases, every improvement of engineering control lifts the fidelity ceiling without evidence of an intrinsic probabilistic floor. We demonstrate that this pattern constitutes a formal logical tension with ontological indeterminism: an irreducibly stochastic system should exhibit a control-independent fidelity bound, whereas an epistemically noisy deterministic system should exhibit precisely the observed monotonic growth. Within the Conjugate Photonic Model (CPM), the electron and photon are Hopf-soliton electromagnetic structures with a well-defined internal phase at every instant. Quantum probability is then the statistical average over this phase, inaccessible at current detector resolution — epistemic, not ontological. We further show that the standard probabilistic interpretation survives not by superior evidential weight but through two immunisation mechanisms: flexible ad hoc reinterpretation of any fidelity improvement as "engineering noise reduction", and the undeclared ontological decree that binary detector clicks are fundamental reality. Removing that decree dissolves the Bell argument against local determinism. The evidence weight, assessed symmetrically, favours the deterministic interpretation.
The shift from classical deterministic prediction to quantum distributions does not by itself decide whether the real is intrinsically probabilistic. The argument begins with both the force and the limit of Laplace’s ideal: deterministic dynamics can coexist with incomplete knowledge of the initial conditions, and classical physics already employs probability. The uncertainty relation then requires a distinction between preparation uncertainty, measurement error, and disturbance, preventing a single formula from serving as an ontological verdict. Bell inequalities tighten the constraints by excluding a specific family of local explanations without ruling out deterministic nonlocal dynamics. The objectivity of probability therefore arises from the explanations that the distributions rule out, not from turning probability into substance. An unexpected detector pulse then allows us to follow the transition from a physical record to knowledge: the material configuration may persist while the act of discrimination is ephemeral; only recognition under a protocol requires a distinction between trace, singular inscription, passive mark, and symbol. Finally, the laser shows why technical fruitfulness increases a theory’s epistemic weight, even though rival ontologies may share the same formalism. The remaining interpretative openness is not arbitrary: it is bounded by results that any future account must accommodate.
Quantum mechanics employs probabilistic formalisms that are often interpreted as reflecting intrinsic indeterminacy of physical reality. Despite its empirical success, this interpretation leaves unresolved why deterministic behavior re-emerges at macroscopic scales. This paper argues that quantum probability arises instead from finite observational resolution imposed by spacetime granularity. When physical processes are subdivided beyond the Planck-scale limits of temporal and spatial resolution, individual micro-events become unobservable in principle. In this regime, observation collapses continuous deterministic dynamics into ensemble-averaged and probabilistic descriptions. The infinite subdivision principle is introduced to formalize this transition: subdivision beyond observational bandwidth irreversibly removes phase information at the observer level while leaving underlying dynamics intact. Probability amplitudes are shown to encode compressed residual phase relationships among unresolved micro-configurations, while expectation values represent structurally stable quantities accessible above the resolution threshold. Within this framework, quantum mechanics is reinterpreted as a resolution-limited projection of deterministic structure rather than as a fundamentally indeterminate theory. This perspective aligns naturally with Existence-Quantized Geometric Theory (EQGT), in which existence and observability are governed by threshold conditions and event-biased observation.
A longstanding tension in the foundations of physics concerns whether the apparent indeterminism mandated by standard quantum mechanics is a genuine feature of ontology or merely an artefact of irreducible epistemic limitations. We advance and formalize a position we term Epistemic Indeterminism: the observed stochasticity of subatomic events arises not from a fundamentally acausal universe but from the immeasurable complexity of a dense causal web comprising virtual particle back-action, dark-matter flux perturbations, relic background field fluctuations, and stray charge distributions that collectively prevent the construction of a complete initial-condition specification. This position is distinguished from ontological indeterminism by retaining full causal closure at every level of physical description. We subsequently demonstrate that any attempt to resolve this epistemic gap through direct measurement—including attosecond quantum stroboscopy and pulsed projective measurement schemes—is self-defeating: the energy budgets required to achieve sub- Heisenberg spatial resolution necessarily induce environmental decoherence at a rate that obliterates the trajectory information sought. We resolve this apparent impasse by introducing the concept of Local Sandboxes: engineered boundary conditions—realized in practice by semiconductor logic gates, quantum dots, and cryogenic charge arrays—that exploit collective electronic superposition within tightly constrained phase-space volumes to guarantee macroscopically deterministic output without requiring microscopic trajectory knowledge. We extend this engineering paradigm to biological neural architecture, arguing that the voltage-threshold mechanism governing neuronal action potentials constitutes an evolved biological sandbox in which stochastic resonance converts subatomic probabilistic noise into ordered macroscopic charge transport. The framework rehabilitates a form of compatibilist free will grounded in the deliberate design and selection of local sandboxes rather than unconstrained causal exemption from physical law.
Abstract This paper develops a metaphysical interpretation of quantum probability under the title Distributed Presence (DP). The central claim is that quantum probabilities should not be understood as measures of ignorance, nor merely as formal devices for predicting measurement outcomes, but as expressions of an objective mode of being: a system’s structured distribution of presence across mutually available channels of realization. On this view, a quantum system prior to measurement is neither fully actual in one determinate outcome nor reducible to a set of hidden definite properties. Rather, it exists in a non-binary mode, articulated by normalized presence fractions associated with the possible outcomes defined by a given interaction context. The Born rule is accordingly not replaced, but reinterpreted: the standard probability assignment is read as the operational expression of an underlying ontological distribution. The paper argues that this framework provides a unified reading of several familiar quantum features. Superposition is understood as a real distribution of presence rather than as epistemic indeterminacy; measurement is interpreted as single-channel actualization rather than as the physical destruction of alternatives; wave-particle duality is recast as the relation between distributed structure and localized realization; and quantum randomness is treated as intrinsic yet structurally constrained. The proposal remains fully compatible with the standard Hilbert-space formalism and introduces no hidden variables, additional collapse dynamics, or many-world branching. Its aim is interpretive rather than revisionary. Beyond its relevance to the foundations of quantum theory, DP is advanced as a contribution to the ontology of probability more broadly. It seeks to show how probability may be objective, physically meaningful, and ontologically basic without collapsing into determinism on the one hand or epistemicism on the other. In that sense, the paper offers a realist, single-world, structurally articulated account of quantum chance.
Standard physics is built upon a foundational duality: the macroscopic world governed by deterministic classical mechanics and general relativity, and the microscopic world governed by probabilistic quantum mechanics, whose foundational expression is the Heisenberg uncertainty principle . This paper demonstrates, within the Conjugate Photonic Model (CPM), that this duality is an artefact of incomplete knowledge rather than a property of nature. Three universal constants — the speed of light , the vacuum impedance , and Planck's constant — operate identically at both the microscopic (electron hopfion, photonic disc) and macroscopic (FEL, optics, electromagnetism) scales, eliminating the conceptual basis for dual physics. The Heisenberg principle is reinterpreted as a statistical consequence of measuring the time-average of the deterministic trajectory of the electron hopfion at traversal frequency , inaccessible to current temporal resolution but not inaccessible in principle. The Schrödinger cat paradox is resolved: the cat has a definite state at all times, determined by the internal phase of the electron hopfion. A structural equation for photon emission as a function of is derived: . The Free-Electron Laser provides the experimental isolation mechanism that forces the deterministic machinery into full visibility. The universe is a single, causal, deterministic system of organised EM field — the apparent duality dissolves when the internal phase variable is recognised as the missing element of the description.
Quantum mechanics is traditionally interpreted as fundamentally indeterministic, elevating randomness to an ontological property of nature. This paper proposes a realist alternative within the Thermodynamic Narrative Ontology (TNA) framework, asserting that quantum randomness is not intrinsic but epistemic, emerging from incomplete access to the boundary conditions that govern structural projections. We reinterpret wavefunction collapse not as a stochastic event, but as a boundary-induced phase transition—a deterministic structural reconfiguration triggered by an abrupt shift in external constraints (B -> B'). By modeling measurement as an active redefinition of boundaries rather than passive observation, this framework accounts for non-local correlations and the statistical success of quantum formalism without invoking ontological chance. We argue that determinism resides in the boundary operators mediating the projection from the non-collapsed structural domain (aleph_1) into observable configurations (aleph_0). Consequently, quantum indeterminacy is reclassified as the "shadow" cast by unseen boundaries, reconciling the predictive power of quantum mechanics with a strictly realist and deterministic structural ontology. Boundary engineering: https://zenodo.org/records/18290437 Diagram https://drive.google.com/file/d/1TxZtBJpwCAzkOGBU3sEpLwhV7DoC3tFA/view?usp=drive_link Versioning Note New versions only add material to increase resolution.The conceptual object remains invariant.Version comparison for error detection is therefore meaningless. This short video is a conceptual overview of Boundary-Induced Collapse and its structural account of quantum measurement. https://vimeo.com/1157795828?share=copy&fl=sv&fe=ci To be continued... https://zenodo.org/records/18260026