Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Where Quantum Mechanics Stops Explaining

Larry Lim Kheng Cheong

Published Jan 28, 2026• 0 citations
Publisher

Abstract

Quantum mechanics predicts experimental outcomes with extraordinary precision, yet leaves unresolved how definite, irreversible events arise. This conceptual note revisits a lost logical distinction between continuous quantum processes and discrete physical events, clarified today by decoherence and modern experimental insight. The note serves as an orientation to the ideas developed more fully in the book Logica Quanta: The Evasive Logic of Quantum Physics.

DOI
10.5281/zenodo.18397820

Related papers

Quantum mechanical rules for observed observers and the consistency of quantum theory

Alexios P. Polychronakos

The interpretation of quantum mechanics in the context of measurements, and concepts such as state “collapse,” have troubled physicists since the inception of quantum theory. Pushed to their logical extreme, such issues become entangled (in the colloquial sense) with questions of consciousness, reality, etc. Bell’s theorem eliminated possible ways out of this tangle via any (halfway reasonable) classical underlying theory, and the success of quantum mechanics forces us to adopt it as a fundamental theory and face the logical consequences.

arXiv:2202.04203•Nature Communications•Apr 9, 2024•9 citations

Logica Quanta: Why This Book Exists, and Why It Refuses to Argue

Larry Lim Kheng Cheong

This paper serves as an orientation document for the book Logica Quanta – The Evasive Logic of Quantum Physics. It clarifies the purpose, scope, and methodological stance of the work before readers engage with the full text. Rather than advancing a new interpretation through rhetorical argument, Logica Quanta adopts a constraint-based approach to quantum measurement. It treats the existence of single, definite outcomes as a hard empirical boundary and maps the minimal logical branches compatible with that constraint. The book is written as an archive: recording experiments, logical consequences, and theoretical costs without appealing to persuasion. This Zenodo record does not summarize results or extend the technical trilogy of Logica Quanta papers. Instead, it establishes the book’s posture — what it attempts to do, what it refuses to do, and how it should be read. The objective is clarity rather than consensus. Kindle edition of the book:https://a.co/d/01YG3el8

•Dec 21, 2025•0 citations

Logica Quanta II

Larry Lim Kheng Cheong

Logica Quanta II introduces the missing physical mechanism underlying discrete quantum outcomes: accumulated wave interference. Building on Logica Quanta I, which reframed modern physics as interacting waves rather than particles, this paper identifies history as the absent variable in standard quantum mechanics. While conventional formulations treat collapse as instantaneous and memoryless, many physical systems—from tunneling barriers to decohering environments—experience sustained wave–environment coupling over time. This work argues that interference is not merely instantaneous but accumulates, producing a form of wave stress analogous to material fatigue. When accumulated interference exceeds a stability threshold, collapse-like transitions occur naturally, without randomness, observers, or duality. The concept is developed at the level of physical logic rather than formal mathematics, positioning accumulated interference as a measurable state variable compatible with quantum mechanics, decoherence theory, and known experimental platforms. Logica Quanta II serves as the mechanistic bridge between conceptual reinterpretation (Logica Quanta I) and experimental falsification (Logica Quanta III).

•Dec 21, 2025•0 citations

Quantum mechanics as a consequence of discrete interactions

Gabriele Carcassi

Quantum mechanics is usually presented starting from a series of postulates about the mathematical framework. In this work we show that those same postulates can be derived by assuming that measurements are discrete interactions: that is, that we measure at specific moments in time (as opposed to a continuous measurement that spans a long time interval) and that the system is in general affected by our measurement. We believe that this way of presenting quantum mechanics would make it easier to understand by laying out a more cohesive view of the theory and making it resonate more with our physics intuition.

arXiv:0801.0828•Jan 5, 2008•0 citations

Quantum mechanics

Guido Bacciagaluppi, Antony Valentini

Introduction Quantum mechanics is based on the intuition that the essential difference between atomic physics and classical physics is the occurrence of discontinuities (see in particular [1,4,58–63]). Quantum mechanics should thus be considered a direct continuation of the quantum theory founded by Planck, Einstein and Bohr. Bohr in particular stressed repeatedly, already before the birth of quantum mechanics, that the discontinuities must lead to the introduction of new kinematical and mechanical concepts, so that indeed classical mechanics and its corresponding conceptual scheme should be abandoned [1,4]. Quantum mechanics tries to introduce the new concepts through a precise analysis of what is ‘observable in principle’. In fact, this does not mean setting up the principle that a sharp division between ‘observable’ and ‘unobservable’ quantities is possible and necessary. As soon as a conceptual scheme is given, one can infer from the observations to other facts that are actually not observable directly, and the boundary between ‘observable’ and ‘unobservable’ quantities becomes altogether indeterminate. But if the conceptual scheme itself is still unknown, it will be expedient to enquire only about the observations themselves, without drawing conclusions from them, because otherwise wrong concepts and prejudices taken over from before will block the way to recognising the physical relationships [Zusammenhänge].

Cambridge University Press eBooks•Oct 22, 2009•0 citations

Possibility to Outcome: A Logical Analysis of Quantum Measurement and Collapse

Larry Lim Kheng Cheong

Quantum mechanics predicts nature with extraordinary accuracy, yet it leaves one question unresolved: how do multiple possibilities become a single observed outcome? Logica Quanta: Logical Reasoning and the Formulation of Quantum Mechanics approaches this question through logical structure rather than interpretational preference. Instead of advocating for a particular interpretation, the work maps the finite set of logically admissible explanations—Many Worlds, stochastic collapse, epistemic models, hidden variables, superdeterminism, and physical collapse—and examines the conceptual cost associated with each. This book introduces a constraint-based framework built on two core tools: a Decision Tree that organizes the logical space of explanations, and a Cost Matrix that makes explicit what each approach preserves and sacrifices, including realism, determinism, explanatory completeness, and testability. Written from the perspective of a systems thinker with a background in financial markets, the work draws parallels between quantum measurement and complex-system transitions such as hysteresis, accumulation, and threshold-driven regime shifts. While not asserting equivalence between physics and economics, it highlights structural similarities in how systems evolve from possibility to outcome. A key argument developed in the book is that if collapse is a real physical process, its signatures may be difficult to isolate in macroscopic environments due to pervasive interference and rapid decoherence. This raises the possibility that lower-interference regimes, including controlled mesoscopic systems or space-based environments, may offer clearer conditions for testing collapse dynamics. The book does not claim to solve the measurement problem. Instead, it provides a logically structured map of the available explanatory landscape and invites skeptical examination of whether a physical, law-governed collapse mechanism—such as those explored within the Total Wave Modified Schrödinger Equation (TWMSE) framework—may remain a viable candidate after careful comparison of alternatives. This Zenodo entry accompanies the publication of the book and is intended as an accessible introduction to its conceptual foundations. 📘 Book link:https://a.co/d/0djmg6ZJ

•Mar 17, 2026•0 citations
Quantum mechanics predicts experimental outcomes with extraordinary precision, yet leaves unresolved how definite, irreversible events arise. This conceptual note revisits a lost logical distinction between continuous quantum processes and discrete physical events, clarified today by decoherence and modern experimental insight. The note serves as an orientation to the ideas developed more fully in the book Logica Quanta: The Evasive Logic of Quantum Physics.
The interpretation of quantum mechanics in the context of measurements, and concepts such as state “collapse,” have troubled physicists since the inception of quantum theory. Pushed to their logical extreme, such issues become entangled (in the colloquial sense) with questions of consciousness, reality, etc. Bell’s theorem eliminated possible ways out of this tangle via any (halfway reasonable) classical underlying theory, and the success of quantum mechanics forces us to adopt it as a fundamental theory and face the logical consequences.
This paper serves as an orientation document for the book Logica Quanta – The Evasive Logic of Quantum Physics. It clarifies the purpose, scope, and methodological stance of the work before readers engage with the full text. Rather than advancing a new interpretation through rhetorical argument, Logica Quanta adopts a constraint-based approach to quantum measurement. It treats the existence of single, definite outcomes as a hard empirical boundary and maps the minimal logical branches compatible with that constraint. The book is written as an archive: recording experiments, logical consequences, and theoretical costs without appealing to persuasion. This Zenodo record does not summarize results or extend the technical trilogy of Logica Quanta papers. Instead, it establishes the book’s posture — what it attempts to do, what it refuses to do, and how it should be read. The objective is clarity rather than consensus. Kindle edition of the book:https://a.co/d/01YG3el8
Logica Quanta II introduces the missing physical mechanism underlying discrete quantum outcomes: accumulated wave interference. Building on Logica Quanta I, which reframed modern physics as interacting waves rather than particles, this paper identifies history as the absent variable in standard quantum mechanics. While conventional formulations treat collapse as instantaneous and memoryless, many physical systems—from tunneling barriers to decohering environments—experience sustained wave–environment coupling over time. This work argues that interference is not merely instantaneous but accumulates, producing a form of wave stress analogous to material fatigue. When accumulated interference exceeds a stability threshold, collapse-like transitions occur naturally, without randomness, observers, or duality. The concept is developed at the level of physical logic rather than formal mathematics, positioning accumulated interference as a measurable state variable compatible with quantum mechanics, decoherence theory, and known experimental platforms. Logica Quanta II serves as the mechanistic bridge between conceptual reinterpretation (Logica Quanta I) and experimental falsification (Logica Quanta III).
Quantum mechanics is usually presented starting from a series of postulates about the mathematical framework. In this work we show that those same postulates can be derived by assuming that measurements are discrete interactions: that is, that we measure at specific moments in time (as opposed to a continuous measurement that spans a long time interval) and that the system is in general affected by our measurement. We believe that this way of presenting quantum mechanics would make it easier to understand by laying out a more cohesive view of the theory and making it resonate more with our physics intuition.
Introduction Quantum mechanics is based on the intuition that the essential difference between atomic physics and classical physics is the occurrence of discontinuities (see in particular [1,4,58–63]). Quantum mechanics should thus be considered a direct continuation of the quantum theory founded by Planck, Einstein and Bohr. Bohr in particular stressed repeatedly, already before the birth of quantum mechanics, that the discontinuities must lead to the introduction of new kinematical and mechanical concepts, so that indeed classical mechanics and its corresponding conceptual scheme should be abandoned [1,4]. Quantum mechanics tries to introduce the new concepts through a precise analysis of what is ‘observable in principle’. In fact, this does not mean setting up the principle that a sharp division between ‘observable’ and ‘unobservable’ quantities is possible and necessary. As soon as a conceptual scheme is given, one can infer from the observations to other facts that are actually not observable directly, and the boundary between ‘observable’ and ‘unobservable’ quantities becomes altogether indeterminate. But if the conceptual scheme itself is still unknown, it will be expedient to enquire only about the observations themselves, without drawing conclusions from them, because otherwise wrong concepts and prejudices taken over from before will block the way to recognising the physical relationships [Zusammenhänge].
Quantum mechanics predicts nature with extraordinary accuracy, yet it leaves one question unresolved: how do multiple possibilities become a single observed outcome? Logica Quanta: Logical Reasoning and the Formulation of Quantum Mechanics approaches this question through logical structure rather than interpretational preference. Instead of advocating for a particular interpretation, the work maps the finite set of logically admissible explanations—Many Worlds, stochastic collapse, epistemic models, hidden variables, superdeterminism, and physical collapse—and examines the conceptual cost associated with each. This book introduces a constraint-based framework built on two core tools: a Decision Tree that organizes the logical space of explanations, and a Cost Matrix that makes explicit what each approach preserves and sacrifices, including realism, determinism, explanatory completeness, and testability. Written from the perspective of a systems thinker with a background in financial markets, the work draws parallels between quantum measurement and complex-system transitions such as hysteresis, accumulation, and threshold-driven regime shifts. While not asserting equivalence between physics and economics, it highlights structural similarities in how systems evolve from possibility to outcome. A key argument developed in the book is that if collapse is a real physical process, its signatures may be difficult to isolate in macroscopic environments due to pervasive interference and rapid decoherence. This raises the possibility that lower-interference regimes, including controlled mesoscopic systems or space-based environments, may offer clearer conditions for testing collapse dynamics. The book does not claim to solve the measurement problem. Instead, it provides a logically structured map of the available explanatory landscape and invites skeptical examination of whether a physical, law-governed collapse mechanism—such as those explored within the Total Wave Modified Schrödinger Equation (TWMSE) framework—may remain a viable candidate after careful comparison of alternatives. This Zenodo entry accompanies the publication of the book and is intended as an accessible introduction to its conceptual foundations. 📘 Book link:https://a.co/d/0djmg6ZJ