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

Schrödinger's Test for AI

dong zhang

Published Feb 23, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.18738105

Related papers

Schrödinger's Test for Artificial Intelligence

dong zhang

Following the spirit of the Turing Test, we propose Schrödinger’s Test using the original text of Schrödinger’s Cat thought experiment as a test of logical reasoning and independent thinking in artificial intelligence. For a radioactive isotope, we introduce its Schrödinger’s Amount, the weight or quantity of its atoms equal to “a tiny amount” in the original text, and it is put in the steel box with the cat of the thought experiment. The test consists of a machine reading the text and answering several test questions. A higher level of the test is to have it write a report to see how many answers to the questions it contains. As a starting set, our questions are designed to dissect Schrödinger’s Cat part by part and step by step, a few of which are original, not yet available on the internet, unknown to current artificial intelligence programs, and can therefore serve as test questions. For example, why must the box be open? Are atoms identical? Is Schrödinger’s Cat repeatable? For each question, two answers are presented: a conventional or known answer reflecting standard interpretations in physics available on the internet, and an unconventional answer derived through facts and logic not yet available on the internet. Since Schrödinger’s Cat was introduced in 1935, with Einstein’s involvement, it has been extensively studied, taught, and wrote for nearly 100 years, Schrödinger’s Test represents an extremely high-level of human intelligence.

•Mar 2, 2026•0 citations

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

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.

•Dec 31, 2025•0 citations

Mathematics as Equalities and Inequalities, Application to Schrödinger's Cat and AI

dong zhang

We define mathematics as the collection of equalities and inequalities. Therefore, mathematicians perform two tasks: identifying identity (equality) and identifying difference comparison (inequality). Applying this definition to Schrödinger’s Cat, we identify the thought experiment as equivalent to a first-decay experiment. A first-decay event reveals the differences among atoms and exposes an implicit identity assumption in physics. We propose an objective test, the Schrödinger Test, for artificial intelligence, since the Turing Test is subjective and human linguistic. The test is: given Schrödinger’s original 1935 text, can a system derive the associated logical consequences, such as the non-identity of atoms?

•Dec 19, 2025•0 citations

Four Definitions of Mathematics, Discrete to Continuous, and Their Applications to AI and Physics

dong ZHANG

We present four definitions of mathematics that are understandable, actionable, and applicable. Mathematics is characterized as a collection of equalities and inequalities and can be constructed from nothing—the empty set—using rigorous logic alone. Applying these definitions to physics, we show, for example, that atoms of the same isotope are not identical, and we provide a constructive definition of gravity as the final electromagnetic residue after successive stages of incomplete cancellation.We further introduce the Schrödinger Test: the original 1935 text of Schrödinger’s Cat serves as a benchmark for evaluating discrete logical reasoning. Because the thought experiment has occupied physics for ninety years, the ability of an artificial intelligence system to recover its discrete logical structure provides a direct test of machine intelligence.Finally, we propose a physical test of the discrete-photon/slit interaction model. A home-built asymmetric single-slit experiment—using slit edges composed of different materials such as copper and steel—produces reproducible left–right asymmetries in the diffraction pattern. Rotating the slit rotates the asymmetry, demonstrating that the interaction originates inside the slit. This provides empirical support for the restoration of discrete electromagnetic structure removed by continuous interference models and suggests a concrete experimental path for further verification.

•Dec 3, 2025•0 citations

Schrödinger's Cat Paradox and Realistic Interpretation from Particle Experiments

Jiaqing Yan

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.

•Apr 10, 2026•0 citations

Four Definitions of Mathematics: Moon Landing, Schrödinger's Cat, Gravity, Double Slit

dong zhang

A human–AI collaborative book on physics, mathematics, and artificial intelligence, with AI commentary on every chapter.

•Jan 31, 2026•0 citations
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.
Following the spirit of the Turing Test, we propose Schrödinger’s Test using the original text of Schrödinger’s Cat thought experiment as a test of logical reasoning and independent thinking in artificial intelligence. For a radioactive isotope, we introduce its Schrödinger’s Amount, the weight or quantity of its atoms equal to “a tiny amount” in the original text, and it is put in the steel box with the cat of the thought experiment. The test consists of a machine reading the text and answering several test questions. A higher level of the test is to have it write a report to see how many answers to the questions it contains. As a starting set, our questions are designed to dissect Schrödinger’s Cat part by part and step by step, a few of which are original, not yet available on the internet, unknown to current artificial intelligence programs, and can therefore serve as test questions. For example, why must the box be open? Are atoms identical? Is Schrödinger’s Cat repeatable? For each question, two answers are presented: a conventional or known answer reflecting standard interpretations in physics available on the internet, and an unconventional answer derived through facts and logic not yet available on the internet. Since Schrödinger’s Cat was introduced in 1935, with Einstein’s involvement, it has been extensively studied, taught, and wrote for nearly 100 years, Schrödinger’s Test represents an extremely high-level of human intelligence.
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.
We define mathematics as the collection of equalities and inequalities. Therefore, mathematicians perform two tasks: identifying identity (equality) and identifying difference comparison (inequality). Applying this definition to Schrödinger’s Cat, we identify the thought experiment as equivalent to a first-decay experiment. A first-decay event reveals the differences among atoms and exposes an implicit identity assumption in physics. We propose an objective test, the Schrödinger Test, for artificial intelligence, since the Turing Test is subjective and human linguistic. The test is: given Schrödinger’s original 1935 text, can a system derive the associated logical consequences, such as the non-identity of atoms?
We present four definitions of mathematics that are understandable, actionable, and applicable. Mathematics is characterized as a collection of equalities and inequalities and can be constructed from nothing—the empty set—using rigorous logic alone. Applying these definitions to physics, we show, for example, that atoms of the same isotope are not identical, and we provide a constructive definition of gravity as the final electromagnetic residue after successive stages of incomplete cancellation.We further introduce the Schrödinger Test: the original 1935 text of Schrödinger’s Cat serves as a benchmark for evaluating discrete logical reasoning. Because the thought experiment has occupied physics for ninety years, the ability of an artificial intelligence system to recover its discrete logical structure provides a direct test of machine intelligence.Finally, we propose a physical test of the discrete-photon/slit interaction model. A home-built asymmetric single-slit experiment—using slit edges composed of different materials such as copper and steel—produces reproducible left–right asymmetries in the diffraction pattern. Rotating the slit rotates the asymmetry, demonstrating that the interaction originates inside the slit. This provides empirical support for the restoration of discrete electromagnetic structure removed by continuous interference models and suggests a concrete experimental path for further verification.
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.