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Note on Methodological Minimalism in Quantum Foundations

Claudio Bresciano

Published Jan 22, 2026• 0 citations
Publisher

Abstract

This note argues that several long-standing interpretational problems in quantum mechanics persist not because they require additional postulates, entities, or metaphysical commitments, but because their structural core has not been isolated with sufficient clarity. We advocate methodological minimalism: the principle that foundational explanations should introduce no assumptions beyond those already present in the mathematical structure of the theory. We show that key phenomena—most notably measurement and collapse—can be understood as consequences of spectral structure and boundary constraints, without invoking ontological randomness, consciousness, or non-physical mechanisms. Simplicity here is not aesthetic; it is a diagnostic indicator of structural correctness. Diagram https://drive.google.com/file/d/1RLVINPhsgjcNvlLv4W3ee8avLM5wzTya/view?usp=sharing

DOI
10.5281/zenodo.18339582

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This note argues that several long-standing interpretational problems in quantum mechanics persist not because they require additional postulates, entities, or metaphysical commitments, but because their structural core has not been isolated with sufficient clarity. We advocate methodological minimalism: the principle that foundational explanations should introduce no assumptions beyond those already present in the mathematical structure of the theory. We show that key phenomena—most notably measurement and collapse—can be understood as consequences of spectral structure and boundary constraints, without invoking ontological randomness, consciousness, or non-physical mechanisms. Simplicity here is not aesthetic; it is a diagnostic indicator of structural correctness. Diagram https://drive.google.com/file/d/1RLVINPhsgjcNvlLv4W3ee8avLM5wzTya/view?usp=sharing
This work proposes a minimal ontological framework aimed at systematically resolving key conceptual paradoxes of contemporary physics. The central claim is that many foundational difficulties of twentieth- and twenty-first-century physics arise not from empirical anomalies or mathematical inconsistencies, but from a conflation of mathematical formalism with ontological interpretation. On the basis of a small set of minimal ontological axioms, the work addresses and resolves ten fundamental paradoxes, including wave–particle duality, the measurement problem and collapse, the arrow of time, irreversibility, quantization, the nature of gravity, cosmological origin, the finiteness of the Universe, the status of singularities, and the information paradox. The proposed framework introduces no new physical entities and does not modify existing physical equations. Instead, it imposes strict ontological constraints from which these phenomena follow as necessary consequences. The work does not present an alternative physical theory, but rather an ontological foundation explaining why modern physical theories are successful and why they encounter inherent explanatory limits.
This paper presents a philosophical analysis of quantum mechanics, the measurement problem, the observer problem, decoherence, and quantum interpretation. It argues that the central difficulty in quantum mechanics is not only technical but interpretive: the theory has extraordinary predictive power without a single settled account of what is happening physically or ontologically. The paper frames this as an answerability problem, asking how interpretations should be judged when formal success outruns explanatory closure. It separates several meanings of observation—interaction, coupling, record formation, information update, and conscious awareness—and shows how collapsing these layers creates confusion in both physics and philosophy. It then compares major interpretations including Copenhagen, Many-Worlds, Bohmian mechanics, objective collapse, QBism, relational quantum mechanics, and consistent histories, treating them as different ways of stabilizing explanatory burden around an underconstrained formal core. The paper also argues that decoherence is crucial for understanding record stability and the appearance of classicality, but does not by itself solve the single-outcome problem. Overall, the paper offers a clear framework for thinking about quantum foundations, scientific explanation, ontology, observation, and philosophy of science without overstating what current theory can responsibly claim.
We clarify the conceptual and structural distinction between the Theory of Axiomatic Necessity (TNA) and the Induced Spectral Stability Principle (ISSP), establishing their precise domains of validity and their hierarchical relationship. TNA is introduced as a general ontological framework defining minimal axiomatic structures required for the existence of coherent systems, independently of physical realization. ISSP is then formulated as the physical manifestation of this necessity within differentiable systems, where structural stability emerges through the spectral decomposition of induced metrics. We demonstrate that ISSP does not replace TNA, but provides its concrete operational mechanism in physical systems: while TNA defines ontological deltas as irreducible necessity anchors, ISSP identifies their realizable counterparts as spectral modes of stability. This separation resolves long-standing ambiguities between mathematical structure, physical realizability, and ontological necessity, and establishes a unified framework in which linear systems, decoherence, and quantum measurement can be interpreted as boundary-induced spectral selection under axiomatic constraints. The resulting hierarchy—TNA ⊃ ISSP ⊃ BIC—offers a coherent foundation for interpreting collapse, stability, and structural emergence without invoking ontological randomness or observer-dependent postulates. Diagram https://drive.google.com/file/d/1RLVINPhsgjcNvlLv4W3ee8avLM5wzTya/view?usp=sharing An accompanying short video provides an intuitive overview of the core ontological distinction developed in this paper. Through a brief conversational explanation, it illustrates why theories formulated exclusively within the observable domain cannot be ontologically complete, and why the explicit acknowledgment of a latent structural domain is necessary for conceptual clarity. https://vimeo.com/1157925725?share=copy&fl=sv&fe=ci
Attempting to describe the "collapse of the wave function" of the orthodox quantum theory as a physical process, a natural assumption is that the measurement apparatus is subject to the same physical laws as the measured object, leading to a theory without rules for measurement. This – together with the loss of classical-quantum correspondence for chaotic systems – enforces the inclusion of the environment. I very shortly describe the present state of the art in this field – a challenge for the quantum many body community.
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
We introduce a realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes, but leaves the theory's basic dynamical content essentially intact. Much as classical systems have specific states that evolve along definite trajectories through configuration spaces, the traditional formulation of quantum theory asserts that closed quantum systems have specific states that evolve unitarily along definite trajectories through Hilbert spaces, and our interpretation extends this intuitive picture of states and Hilbert-space trajectories to the case of open quantum systems as well. We provide independent justification for the partial-trace operation for density matrices, reformulate wave-function collapse in terms of an underlying interpolating dynamics, derive the Born rule from deeper principles, resolve several open questions regarding ontological stability and dynamics, address a number of familiar no-go theorems, and argue that our interpretation is ultimately compatible with Lorentz invariance. Along the way, we also investigate a number of unexplored features of quantum theory, including an interesting geometrical structure---which we call subsystem space---that we believe merits further study. We include an appendix that briefly reviews the traditional Copenhagen interpretation and the measurement problem of quantum theory, as well as the instrumentalist approach and a collection of foundational theorems not otherwise discussed in the main text.