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Logica Quanta II

Larry Lim Kheng Cheong

Published Dec 21, 2025• 0 citations
Publisher

Abstract

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).

DOI
10.5281/zenodo.18007433

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Logica Quanta III completes the Logica Quanta trilogy by translating accumulated wave interference from a conceptual and mechanistic proposal into a set of explicit, falsifiable experimental predictions. Building on Logica Quanta I, which reframed physics as interacting waves, and Logica Quanta II, which identified accumulated interference as the physical origin of collapse, this paper asks a single empirical question: if accumulated interference is real, where should it appear? The paper identifies history-dependent (hysteretic) signatures that are forbidden by standard, memoryless formulations of quantum mechanics. These include deviations in tunneling statistics, polarization dynamics, decoherence rates, and weak-interaction phase evolution under sustained wave–environment coupling. No new particles, forces, or speculative assumptions are introduced. The proposed tests rely exclusively on existing experimental platforms such as Josephson junctions, magneto-optic systems, superconducting qubits, and long-baseline weak-interaction experiments. Logica Quanta III is intentionally conservative: it specifies where accumulated interference must manifest—and how it can be decisively falsified—if collapse is a dynamical consequence of wave history rather than an instantaneous postulate.

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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).
Logica Quanta III completes the Logica Quanta trilogy by translating accumulated wave interference from a conceptual and mechanistic proposal into a set of explicit, falsifiable experimental predictions. Building on Logica Quanta I, which reframed physics as interacting waves, and Logica Quanta II, which identified accumulated interference as the physical origin of collapse, this paper asks a single empirical question: if accumulated interference is real, where should it appear? The paper identifies history-dependent (hysteretic) signatures that are forbidden by standard, memoryless formulations of quantum mechanics. These include deviations in tunneling statistics, polarization dynamics, decoherence rates, and weak-interaction phase evolution under sustained wave–environment coupling. No new particles, forces, or speculative assumptions are introduced. The proposed tests rely exclusively on existing experimental platforms such as Josephson junctions, magneto-optic systems, superconducting qubits, and long-baseline weak-interaction experiments. Logica Quanta III is intentionally conservative: it specifies where accumulated interference must manifest—and how it can be decisively falsified—if collapse is a dynamical consequence of wave history rather than an instantaneous postulate.
Logica Quanta I presents a unifying interpretive perspective on modern physics, arguing that many well-established phenomena already describe a world of interacting waves rather than isolated particles or intrinsically random processes. Using the Faraday effect as a clear laboratory-scale prototype, the paper systematically reviews experimentally verified cross-influences among electromagnetic, gravitational, weak, and strong interactions—including gravitational lensing, beta decay, nuclear spectroscopy, and neutrino phase effects. These phenomena are shown to share a common structure: propagating waves are continuously conditioned by background fields that modify their phase, trajectory, stability, or emission properties. The paper introduces Logica Quanta as a logical reframing rather than a new physical theory. It argues that the long-standing mystery of quantum collapse arises from a failure to explicitly track accumulated wave interference over time. When interference accumulation is considered, collapse appears as a natural threshold phenomenon rather than a postulate. No new forces are proposed, and no experimental results are challenged. Instead, Logica Quanta I organizes existing physics into a coherent logical framework that highlights continuity, causality, and wave-based interaction as already present features of physical law. The work serves as a conceptual foundation for subsequent formal and experimental investigations.
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
This paper presents an interpretive extension of standard quantum mechanics using the Total Wave Modified Schrödinger Equation (TWMSE), reframing quantum tunneling as a dynamic process of wave interference and stress accumulation rather than a purely probabilistic event. In standard quantum mechanics, tunneling is described by exponentially decaying wavefunctions inside classically forbidden regions, often interpreted as the wave “dying out.” This work argues instead that exponential decay represents blocked propagation and stored evanescent wave deformation. Within the TWMSE framework, continuous wave incidence leads to gradual, logarithmic accumulation of interference (or “wave stress”) until a stability threshold is reached, triggering tunneling or collapse. The paper emphasizes complementarity rather than replacement: standard quantum mechanics correctly describes the spatial shape of the wave, while TWMSE provides a physical narrative for its time-dependent behavior. Analogies such as stiff springs, capacitors, and voltage drops are used to make the interpretation accessible without altering established mathematics. Appendices clarify that the TWMSE interpretation is not a hidden-variable or Bohmian theory, connect the narrative to the formal TWMSE collapse–interference functional, and explore the speculative but testable idea that tunneling rates may be tunable through resonant observer–wave coupling. This contribution is intended as a conceptual and pedagogical bridge between standard quantum tunneling theory and wave-based collapse dynamics, and as a foundation for future quantitative and experimental investigations.
The quantum eraser experiment, while confirming the mathematical formalism of quantum mechanics, has persistently challenged intuitive understanding, often invoking concepts of retrocausality or the necessity of a conscious observer. This paper develops and articulates the Ze interpretation as a comprehensive framework that resolves these conceptual challenges without such metaphysical additions. We propose that quantum dynamics is fundamentally governed by the competition between two active generative models: a direct causal model (Model A, "particle-like") and a counterfactual wave model (Model B, "wave-like"). Decoherence is reinterpreted not as information loss, but as the environmental amplification of a structural incompatibility between these models, leading to a forced stabilization of the system into a state compatible with a single, definite narrative—a process we identify as physical collapse. The quantum eraser is shown to be an active intervention that dismantles this incompatibility by removing the environmental basis for discriminating between models, thereby restoring the conditions for a low-conflict consensus state that manifests as interference. This framework seamlessly unifies unitary evolution, decoherence, collapse, and erasure as facets of a single process of model competition and stabilization. It eliminates the need for an observer-centric explanation, replaces the "collapse" postulate with a dynamical physical mechanism, and yields novel, testable predictions regarding interference in complex systems and the dynamic nature of the quantum-classical threshold.