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Resolution of Macroscopic Superposition by single-valued global Lagrangian

Zinkoo Yun

Published May 30, 2026• 0 citations
Publisher

Abstract

We propose a deterministic macro-realism interpretation to solve Schrödinger’s cat paradox with-out invoking wave function collapse by observer, environmental decoherence or many world inter-pretation. By introducing the topological conditional Lagrangian randomly selected by microscopicquantum states, we could map the microscopic quantum states to the macroscopic irreversible bound-ary conditions. When a micro object in quantum superposition triggers a macro-critical threshold(Fc ) in the conditional Lagrangian, only specific one of the conditional Lagrangian emerges in real-ity and only the corresponding path survives in Feynman path integral. All other alternative pathsdestructively interfere due to infinite phase factor(∆S/ℏ → ∞) demonstrating that a macroscopicapparatus never enters a pure quantum superposition state via topological conditional Lagrangian.We propose an experiment to test our interpretation. While this proposal respects the intrinsicrandomness of quantum nature, it provides mathematically economical and conceptually simpleresolution about quantum-classical interface by restoring rigid causality of macroscopic variableswithout partial tracing of decoherence.

DOI
10.5281/zenodo.20465761

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We propose a deterministic macro-realism interpretation to solve Schrödinger’s cat paradox with-out invoking wave function collapse by observer, environmental decoherence or many world inter-pretation. By introducing the topological conditional Lagrangian randomly selected by microscopicquantum states, we could map the microscopic quantum states to the macroscopic irreversible bound-ary conditions. When a micro object in quantum superposition triggers a macro-critical threshold(Fc ) in the conditional Lagrangian, only specific one of the conditional Lagrangian emerges in real-ity and only the corresponding path survives in Feynman path integral. All other alternative pathsdestructively interfere due to infinite phase factor(∆S/ℏ → ∞) demonstrating that a macroscopicapparatus never enters a pure quantum superposition state via topological conditional Lagrangian.We propose an experiment to test our interpretation. While this proposal respects the intrinsicrandomness of quantum nature, it provides mathematically economical and conceptually simpleresolution about quantum-classical interface by restoring rigid causality of macroscopic variableswithout partial tracing of decoherence.
Schrodinger’s Cat remains one of the most enduring illustrations of the quantummeasurement problem because it appears to place a macroscopic living system into asuperposition of mutually exclusive states. Conventional interpretations address thisdifficulty through observer-dependent collapse, branching worlds, or environmentaldecoherence, yet each approach leaves open the physical question of why one definitemacroscopic outcome is established. This paper offers a Space-Phase (SP3)reinterpretation in which space is treated as a real, conditionable, memory-bearing,energy-storing medium rather than an empty mathematical backdrop. Within thisframework, superposition is not the literal coexistence of contradictory realities, but a lowsaturation regime in which the medium can temporarily support multiple permissiblemicro-configurations. Measurement is not a special observer-driven act, but anamplification process by which a microscopic event becomes coupled to a high-saturationmacroscopic system. Once energy storage, environmental coupling, memoryaccumulation, and structural complexity exceed the medium’s coherence-saturationthreshold, incompatible configurations lose physical support and a single stable outcomeis enforced. The cat is therefore never materially suspended between life and death; theoutcome is established by medium constraint before observation. By mapping this processonto the ten functions of SP3, the paper reframes wavefunction collapse as continuous,substrate-driven decoherence and threshold resolution. The result is a causal, materialaccount of the quantum-to-classical transition that preserves the predictive usefulness ofquantum formalism while replacing observer-centric ambiguity with physical mechanism.
Schrodinger’s Cat remains one of the most enduring illustrations of the quantummeasurement problem because it appears to place a macroscopic living system into asuperposition of mutually exclusive states. Conventional interpretations address thisdifficulty through observer-dependent collapse, branching worlds, or environmentaldecoherence, yet each approach leaves open the physical question of why one definitemacroscopic outcome is established. This paper offers a Space-Phase (SP3)reinterpretation in which space is treated as a real, conditionable, memory-bearing,energy-storing medium rather than an empty mathematical backdrop. Within thisframework, superposition is not the literal coexistence of contradictory realities, but a lowsaturation regime in which the medium can temporarily support multiple permissiblemicro-configurations. Measurement is not a special observer-driven act, but anamplification process by which a microscopic event becomes coupled to a high-saturationmacroscopic system. Once energy storage, environmental coupling, memoryaccumulation, and structural complexity exceed the medium’s coherence-saturationthreshold, incompatible configurations lose physical support and a single stable outcomeis enforced. The cat is therefore never materially suspended between life and death; theoutcome is established by medium constraint before observation. By mapping this processonto the ten functions of SP3, the paper reframes wavefunction collapse as continuous,substrate-driven decoherence and threshold resolution. The result is a causal, materialaccount of the quantum-to-classical transition that preserves the predictive usefulness ofquantum formalism while replacing observer-centric ambiguity with physical mechanism.
This paper proposes a quantum measurement framework based on structuralstability theory, aiming to resolve the logical dilemma of the quantum–classicaltransition in Schrödinger’s cat paradox. Traditional quantum mechanics relies onexternal mechanisms such as “observer introduction” or “decoherence” to explainmacroscopic reality, leading to vague ontological commitments. We argue that thefundamental reason macroscopic quantum states cannot maintain coherent superpositions lies in the self-organizing critical behavior constrained by the system’sinternal structural stability. The core mechanism is: when a quantum system couples with a classical measuring device, its Hilbert space representation is forced toproject from a high-dimensional unitary representation onto a low-dimensional classical representation, a process driven by the extremization of a structural stabilityfunctional, not by external observation. We rigorously prove that when the system’sstructural information density exceeds a critical threshold, the quantum superposition state cannot satisfy self-consistency constraints mathematically; the systemmust select a classical eigenstate through an “algebraic filtration” mechanism. Thetheory yields three testable predictions: (1) a microscopic entropy production pulseat the moment of coupling between the measuring device and the quantum system,of order 10−21 J/K; (2) a deviation of the quantum Zeno suppression factor fromstandard quantum mechanical predictions on microsecond scales; (3) a scaling-lawdivergence of the decoherence time of macroscopic superpositions at critical parameters. These effects can be tested in coupled superconductor qubit–mechanicalresonator systems. The framework does not modify unitary evolution, does not relyon many-worlds assumptions, and does not introduce collapse postulates; instead,it transforms the measurement problem into a question of compatibility betweenquantum information structure and geometric–topological constraints.
The "Measurement Problem" and the ensuing concept of wavefunction collapse remain the mostprofound epistemological crises in quantum mechanics, traditionally demanding the ad-hoc introduction of a macroscopic observer or invoking untestable multiverse branching. This paper presents a deterministic, purely geometric resolution derived from the Non-Abelian Virtual-Real Duality Cosmology (VRDC) framework. By defining the universe as a PT-symmetric complex manifold , we demonstrate that quantum superposition is merely the stable multi-valued topological holonomy of a phase-knot within the imaginary metric . Consequently, "wavefunction collapse" is redefined not as a probabilistic anomaly induced by consciousness, butas an irreversible Geometric Projection—a forced topological dissipation onto the real spatial axis triggered when the virtual rigidity of the micro-state is overwhelmed by the massive real-space trace of a macroscopic measuring apparatus. Furthermore, we subvert the anthropic principle by establishing that macroscopic human consciousness does not cause quantum collapse; rather, consciousness is mathematically formalized as the sustained topological phase-locking between highly ordered neural network geometries and the background imaginary metric. This framework entirely dissolves the paradox of Schrödinger's cat and provides a mathematically rigorous bridge between spacetime topology and the origin of sentient observation.
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.
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.