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Prequel to the Logical Interpretation of Quantum Mechanics: A Classical Logic Edition—How to Check, Via Experiment , Whether Schrödinger's Cat Is in Superposition Before Opening the Box

Chan

Published Dec 31, 2025• 0 citations
Publisher

Abstract

This preprint introduces a novel thought experiment—two sealed double-slit apparatuses, one with which-path detectors and one without—to resolve Schrödinger's cat paradox using only classical logic and standard quantum formalism. The interference pattern (or lack thereof) on each screen is determined by the experimental operational setup, not by later observation. Macroscopic objects like the cat reside in a quantum mixed state, not a quantum superposition state—which must be a pure state—even in a closed box. These concepts form the foundation of the Logical Interpretation of Quantum Mechanics, a minimalist approach that preserves Aristotle's laws of thought, requires no supplementary postulates, and resolves paradoxes (measurement problem, EPR, cat) as linguistic artifacts. The interpretation aligns fully with quantum predictions and recognizes indistinguishability as the primary source of quantum behavior.

DOI
10.5281/zenodo.18102254

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This preprint introduces a novel thought experiment—two sealed double-slit apparatuses, one with which-path detectors and one without—to resolve Schrödinger's cat paradox using only classical logic and standard quantum formalism. The interference pattern (or lack thereof) on each screen is determined by the experimental operational setup, not by later observation. Macroscopic objects like the cat reside in a quantum mixed state, not a quantum superposition state—which must be a pure state—even in a closed box. These concepts form the foundation of the Logical Interpretation of Quantum Mechanics, a minimalist approach that preserves Aristotle's laws of thought, requires no supplementary postulates, and resolves paradoxes (measurement problem, EPR, cat) as linguistic artifacts. The interpretation aligns fully with quantum predictions and recognizes indistinguishability as the primary source of quantum behavior.
This work revisits foundational thought experiments in physics—most notably Schrödinger’s Cat and Young’s double-slit experiment—from the perspective of logic, language, and discrete reasoning, rather than probability or continuous modeling. The book begins with a close reading of Schrödinger’s original text and treats the cat experiment as a logical and linguistic test rather than a physical paradox. By following the description step by step, the analysis shows that the experiment centers on first events, non-repeatability, amplification, and restricted access to information. The uncertainty lies in description and access, not in physical superposition. The discussion then broadens to related cases, including non-repeatable experiments, multifacet descriptions, sealed systems, and the distinction between reality and observation. Familiar examples such as the blind men and the elephant are used to clarify how superposition can arise from language and partial description rather than from objects themselves. A stripped-down “cat in a box” case shows that the logical structure of Schrödinger’s Cat exists independently of radioactive devices. The book also revisits Young’s double-slit experiment, focusing on the role of the slit as a physical boundary and interaction region rather than an abstract geometric opening. Light and electrons are treated as discrete entities whose cumulative outcomes arise from individual events and in-slit interactions with solid surfaces. The interference pattern is interpreted as a historical summary of discrete trajectories and interactions, not as evidence of continuous wave behavior passing through empty space. Taken together, these analyses lead to a unified view: many celebrated “paradoxes” arise from linguistic compression, continuous idealization, and the loss of discrete structure in description. In the final chapters, Schrödinger’s Cat is reframed as a reasoning benchmark, comparable in spirit to the Turing Test. Whereas the Turing Test evaluates imitation through conversation, Schrödinger’s Test evaluates careful reading, logical inference, and consistency when language, time, and access to information are intertwined. Artificial intelligence plays a natural role in this framework. AI systems operate through finite steps, substitution, and rule-based manipulation of language. These properties align closely with the logical structure required to analyze both Schrödinger’s Cat and the double-slit experiment. The book therefore proposes Schrödinger’s Test as a reading-comprehension and logical-reasoning benchmark for both humans and artificial intelligence systems. No technical background in physics is assumed. The discussion relies on logic, language, and close reading. The goal is not to resolve paradoxes, but to show that none are required when foundational experiments are read precisely.
Schrödinger's cat has long been interpreted by the mainstream as intuitive proof of quantum superposition, but its original intention was Schrödinger's irony and reduction to absurdity of the Copenhagen interpretation. This paper points out that the so-called quantum superposition is not the real physical state of microscopic particles, but the uncertainty phenomenon caused by limited observation methods and inevitable measurement interference. Modern double-slit experiments have realized the emission of single electrons and single photons one by one. Even if only one particle is emitted each time, interference fringes still appear after accumulation. This fact directly proves that each particle has a unique and definite position and path at any time, rather than a superposition state passing through double slits simultaneously. The fundamental reason why a single particle can produce interference is that the particle itself vibrates continuously and has wave properties, rather than a metaphysical superposition state. From the four aspects of original intention, experimental evidence, physical nature and logical judgment, this paper thoroughly clarifies the conceptual substitution of superposition, reveals the objective laws of reality, certainty and uniqueness in the microscopic world, and calls on physics to return to rationality, logic and common sense.
The Schrodinger's Cat paradox was proposed in 1935 by Edwin Schrodinger, one of the founders of quantum mechanics, as an attempt to visualize the macroscopic realization of a quantum superposition state. A cat is placed in a sealed box together with a vial of poison. A two-state particle (e.g. an electron) is sent into a detector in the box resulting either in a broken or an intact vial and a dead or live cat, respectively. The main problem consists in whether the superposition state of a microscopic particle can be transferred upon the macroscopic cat, that is, whether the cat can exist in a superposition state, being simultaneously dead and alive. Since the standard Copenhagen interpretation is unable to assign any reality to the quantum superposition state, the paradox finds no resolution within the regime of this interpretation. Von Neumann's insistence on the uniform treatment of both microscopic (quantum) and macroscopic (classical) objects according to the laws of quantum mechanics provides a more consistent framework for the resolution of the paradox. In particular, the discovery of the phenomenon of decoherence, whereby the disappearance of the quantum interferences at the macro level is accounted for, suggests the onset of an extremely efficient interference relaxation process (10-23 s) upon the interaction of the two state particle with the detector. As a result, Schrodinger's cat can exist macroscopically either as dead or alive and never as a combination of both. Decoherence not only aids the resolution of the Schrodinger's Cat paradox but also sheds light upon the mechanisms by which the macro-world emerges from the microscopic quantum realm.
A misunderstanding of entangled states has spawned decades of concern about quantum measurements and a plethora of quantum interpretations. The "measurement state" or "Schrodinger's cat state" of a superposed quantum system and its detector is nonlocally entangled, suggesting that we turn to nonlocality experiments for insight into measurements. By studying the full range of superposition phases, these experiments show precisely what the measurement state does and does not superpose. These experiments reveal that the measurement state is not, as had been supposed, a paradoxical superposition of detector states. It is instead a nonparadoxical superposition of two correlations between detector states and system states. In this way, the experimental results resolve the problem of definite outcomes ("Schrodinger's cat"), leading to a resolution of the measurement problem. However, this argument does not yet resolve the measurement problem because it is based on the results of experiments, while measurement is a theoretical problem: How can standard quantum theory explain the definite outcomes seen experimentally? Thus, we summarize the nonlocality experiments' supporting theory, which rigorously predicts the experimental results directly from optical paths. Several previous theoretical analyses of the measurement problem have relied on the reduced density operators derived from the measurement state, but these solutions have been rejected due to criticism of reduced density operators. Because it avoids reduced density operators, the optical-path analysis is immune to such criticism.
The fully entangled Schrodinger cat state obtained immediately upon measurement of a superposed two state quantum system by a detector is often said to paradoxically predict macroscopically different outcomes simultaneously. However, nonlocal interferometry experiments and their accompanying quantum theoretical analyses, testing momentum entangled photon pairs over the full range of phases, demonstrate that the cat state does not fit this description. This state instead represents two nonlocally coherent correlations between its subsystems. Even if the detector is a cat, this state is not paradoxical. Furthermore, standard quantum theory correctly predicts the experimentally observed nonparadoxical outcomes. Thus both quantum theory and quantum experiments show there is no Schrodinger cat paradox associated with measurement. This resolves the problem of definite outcomes and, with it, the measurement problem. Upon entanglement with a detector, superpositions collapse nonlocally and unitarily to one definite macroscopic outcome. No special collapse postulate is needed.
In his famous thought experiment, Schrodinger(1935) imagined a cat that measures the value of a quantum mechanical observable with its life. Since Schrodinger’s time,no any interpretations or modifications of quantum mechanics have been proposed which gives clear unambiguous answers to the questions posed by Schrodinger’s cat of how long superpositions last and when (or whether) they collapse?In this book appropriate modification of quantum mechanics is proposed.We claim that canonical interpretation of the wave function ψ=с1ψ1+с2ψ2 is correct only when the wave function supports ψ1 and ψ2 essentially overlap. When these ones have separated supports we claim that canonical interpretation of the wave function ψ is no longer valid for a such cat state.Possible solution of the Schrodinger’s cat paradox is considered. We pointed out that the collapsed state of the cat always shows definite and predictable outcomes even if the cat also consists of a superposition:|cat>=с1|alive cat>+с2|death cat>.Using new quantum mechanical formalism the EPRB-paradox is considered.We find that the EPRB-paradox can be resolved by nonprincipal and convenient relaxing of the Einstein’s locality principle.