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

PFUSRC-055C: The Structure of Manifestation — From Quantum Puzzles to Path Optimization, with a Discussion on the Structural Conditions for "Humanity Aligning with Heaven"

Zhenmin Wang

Published Jun 19, 2026• 0 citations
Publisher

Abstract

This paper starts from the three century-old core puzzles of quantum mechanics, namely double-slit interference, wave function collapse, and the uncertainty principle. Adopting the PFUSRC transcendental topological framework, this study unveils their essential nature: these quantum phenomena do not prove that the universe is fundamentally random, but merely represent inevitable manifestations of the ontology-projection hierarchical structure within low-dimensional observational systems. Measurement constitutes a first-center anchoring request toward the ontological structure. Wave function collapse is defined as deterministic topological ownership locking of projection paths. Quantum uncertainty originates from the active risk-avoidance mechanism of the β₁ topological field under excessive observational perturbation. Furthermore, this paper establishes a rigorous structural definition of reality manifestation. It topological interprets the inherent logical principles behind the propositions that inherent destiny is fixed within an innate baseline boundary while acquired fortune trajectory allows continuous optimization, and that human transcendence is essentially topological alignment with universal ontological order. As a phased culmination of the PFUSRC theoretical system, this research constructs a complete logical chain that unifies quantum mechanical interpretation, individual existential path optimization, and macroscopic civilizational structural evolution.

DOI
10.5281/zenodo.20760377

Related papers

PFUSRC 44: Double-Slit Interference, Wavefunction Collapse and Quantum Fluctuation — Unified Topological Mechanism in the PFUSRC Flow Model

Zhenmin Wang

Based on the PFUSRC 45° triple coaxial bicone topology, the cone–prism interlayer domain, the Valuation Axiom, the Fault-Tolerance Axiom, and the First Center observational anchoring framework, this paper constructs a unified and complete ontological mechanism for double-slit interference, wavefunction collapse, quantum fluctuation, and decoherence. We demonstrate that quantum fluctuation is not random vacuum noise, but the topological distribution of primordial units driven by Weizhao (the primordial micro-triggering mechanism in PFUSRC topology); interference occurs in the interlayer quasi-void domain rather than standard 4D spacetime; wavefunction collapse is not a stochastic jump, but deterministic topological ownership confirmation under observational anchoring; decoherence corresponds to irreversible steady-state locking. The entire process is governed by the β₁ global coupling field and satisfies the 1→5→11 dimensional evolution sequence and 12:11 universal gauge invariance. This mechanism unifies deterministic global structure and local observational phenomena, provides a complete origin-level interpretation for quantum behavior, and maintains full compatibility with conventional quantum mechanics while offering stricter logical closure.

•May 27, 2026•0 citations

PFUSRC-084 Phenomena as Manifestation: A System-Level Re-alignment of Physical Anomalies Under the PFUSRC Topological Framework

Zhenmin Wang

Mainstream physics categorizes multiple observable phenomena as unresolved anomalies: the conditional switching between quantum Zeno and anti-Zeno effects, the limited applicability of double-blind experimental design in physics and cosmology, and the cosmic gravitational and expansion signatures attributed to dark matter and dark energy. Standard physical models only offer parametric descriptive accounts without identifying a unified underlying ontological substrate. As an independent theoretical deduction, this paper puts forward a unified conclusion: all three classes of anomalous phenomena are distinct layer-specific manifestations of one invariant topological substrate, consisting of the 45° biconical geometry, 12/11 gauge ratio, 55 anchor points, Ψ–Ξ anchoring coupling, β₁ active risk-avoidance response, and wisdom-ontology projection. The analysis proceeds sequentially from the quantum Zeno effect, uses the legitimate boundary of double-blind trials as a methodological control, and terminates with the ontological re-interpretation of dark matter and dark energy to complete full system re-alignment. High-frequency measurement triggers persistent Ψ–Ξ anchoring and β₁ state locking to produce the Zeno freezing effect; resonant matching between measurement frequency and intrinsic topological relaxation rhythm generates anti-Zeno accelerated evolution. Double-blind experiments only satisfy their three implicit preconditions (spatial homogeneity, single bias source, population uniformity) within the cognitive projection layer of medicine and psychology, and lose validity across high-dimensional topological physical domains. Dark matter arises from gravitational residuals of topologically excluded structures, while dark energy corresponds to the damping projection of periodic biconical breathing; both correspond to the intrinsic activity of cosmic wisdom-ontology, which physicists perceive as an unidentifiable "background force". No new physical axioms, fundamental constants or interaction mechanisms are introduced in this independent research. Every physical phenomenon functions as an independent access point to the PFUSRC topological substrate; analyzing any single phenomenon allows full reconstruction of the complete framework. The core standpoint reverses mainstream physical logic: the PFUSRC topological system is not a theoretical tool used to explain natural phenomena, but the inherent structural medium through which all physical phenomena manifest themselves.

•Jul 12, 2026•0 citations

PFUSRC-010-B: Measurement as Anchoring -- Wavefunction Collapse as \boldsymbol{\beta_{1}} Active Risk Avoidance

Zhenmin Wang

The quantum measurement problem is a foundational issue left unresolved by the Copenhagen interpretation for nearly a century: existing theories merely postulate that observation induces wavefunction collapse as a basic axiom, without providing a corresponding microscopic physical mechanism. Based on the PFUSRC theoretical framework, this paper proposes a completely new physical picture: quantum measurement is not a passive reading of the quantum system state by experimental apparatus, but a mandatory topological anchoring of the measured subsystem \Xi by the measuring wavefunction \Psi. As the anchoring disturbance difference \Delta A increases, the underlying ontological field \beta_{1} triggers an endogenous active risk avoidance (i.e., an intrinsic dynamic response to maintain topological stability), causing the uncertainty constraint to evolve exponentially: \Delta x \cdot \Delta p \geq \frac{\hbar}{2} e^{\kappa \Delta A},\ \kappa=\frac{12}{11} Wavefunction collapse is no longer a random quantum transition without cause, but an objective physical process of phase adaptive reconstruction after \beta_{1}, constrained by anchoring topology, is forced to select a single eigen-anchoring point. Three core conclusions of this paper: 1. The Heisenberg uncertainty relation \Delta x \cdot \Delta p ≥\hbar / 2 is a degenerate special case of this modified formula in the weak measurement limit \Delta A \to 0; 2. The PFUSRC modified uncertainty relation is rooted in a complete dynamical chain of \beta_{1} “perceive disturbance → actively avoid disturbance → uncertainty increases exponentially,” possessing a clear physical mechanism, distinct from the static Copenhagen postulate; 3. The statistical meaning of the Born probability rule is equivalent to the topological weight distribution of discrete phases during \beta_{1}’s risk avoidance evolution. Three quantifiable experimental falsification criteria are proposed at the end of this paper, transforming the quantum measurement problem, long confined to philosophical speculation, into a quantitative physical issue that can be tested experimentally.

•Jun 3, 2026•0 citations

PFUSRC-069 Topological Rheology of Probability: Information Anchoring, Measurement Perturbation, and the Dynamic Coupling of Flow Variables

Zhenmin Wang

PFUSRC-008 Probability Ontology defines probability as an intrinsic constraint property of topological structures, yet it fails to resolve how probability evolves when topological structures flow and deform. As a dynamic upgrade to PFUSRC-008, this paper introduces the flow-variable field, \Psi-\Xi anchoring and information transmission mechanism to establish the topological rheology framework of probability. The core argument of this paper: probability is not a static inherent attribute of events, but the dynamic projection generated by information anchoring inside the flow-variable field. Once prediction, diagnosis or intentional adjustment tilts the \Psi-\Xi anchoring vector, information transmission paths shift accordingly, redistributing the flow-variable field and reconstructing the whole probability space. The complete causal chain is listed as information input → anchoring tilt → information path deflection → flow-variable field redistribution → probability space reorganization → outcome variation; long-term accumulated local adjustment can trigger global structural re-anchoring. The transformation of probability follows emergence rather than linear superposition. Linear calculation only provides approximate values, while structural mutations bring emergent reorganization of probability space that can only be described by interval bounds. This conclusion is fully consistent with the modified uncertainty principle in the PFUSRC system. This paper further proposes three testable predictions and standardized falsification conditions, unifying microscopic quantum measurement perturbation and macroscopic prediction adjustment under the same topological rheology paradigm.

•Jul 10, 2026•0 citations

PFUSRC 24: From Path Integral to Primordial Topology: On the Noetic Origin of the Action and the Projection Illusion of the Optimal Path

Zhenmin Wang

Feynman’s path integral treats quantum evolution as a sum over all possible histories, yet mainstream physics cannot explain the ontological origin of path distribution, weight generation, or the emergence of optimal trajectories. Based on the PFUSRC axiom system, this paper addresses three core assertions: (1) The “all-paths” concept is reinterpreted as a global topological spread determined by primordial geometry, not a literal traversal. (2) The observed optimal path is a low-dimensional projection illusion, not the real evolutionary mechanism. (3) The action and path weights are not fundamental; they arise from primordial topology and the Noetic Primordium operator Ω. This paper formalizes the Noetic Primordium as a mathematical operator on path space, defines the β₁ field as the background geometry for nonlocal coherence, and links the Noeton to the valuation axiom. Unifying PFUSRC 18, PFUSRC 22, and PFUSRC 23, this work provides a complete origin-level interpretation of the path integral and an axiomatic foundation for quantum ontology.

•May 24, 2026•0 citations

PFUSRC-063 Photon Theory: Three-Dimensional Projection Carrier of Four-Dimensional Flow State Variables and Fundamental Energy Coupling Interface — Reinterpreting the Intrinsic Nature, Core Properties and Quantum Paradoxes from Structural Topology

Zhenmin Wang

The photon acts as the core connecting node of relativity, quantum mechanics, electrodynamics and cosmology, yet mainstream physics only treats its masslessness, light-speed propagation, energy quantization and wave-particle duality as empirical input axioms without topological derivation of their necessity. Within the axiomatic PFUSRC biconical topological system, this paper defines photons as instantaneous slicing projection events of global four-dimensional flow state variables on three-dimensional spacetime, which simultaneously serve as the standardized coupling interface for inter-structural energy exchange. All core quantum optical phenomena including wave-particle duality, double-slit interference, delayed choice, EPR nonlocality and vacuum virtual fluctuations are self-consistently deduced from four-to-three dimensional projection constraints without extra ad-hoc hypotheses. This paper proposes the Estimation-Avoidance-Selection anchoring mechanism to replace the stochastic superposition interpretation of Feynman path integrals, reconstructs the topological origin and dynamic stabilization mechanism of Planck’s constant, and strictly proves that Lagrangian mechanics is merely a degenerate projection limit of PFUSRC’s bicone expansion-convergence dynamics under four idealized boundary conditions, rather than a fundamental first principle. Testable experimental corollaries for high-precision quantum optical measurement are put forward at the end.

•Jul 7, 2026•0 citations
This paper starts from the three century-old core puzzles of quantum mechanics, namely double-slit interference, wave function collapse, and the uncertainty principle. Adopting the PFUSRC transcendental topological framework, this study unveils their essential nature: these quantum phenomena do not prove that the universe is fundamentally random, but merely represent inevitable manifestations of the ontology-projection hierarchical structure within low-dimensional observational systems. Measurement constitutes a first-center anchoring request toward the ontological structure. Wave function collapse is defined as deterministic topological ownership locking of projection paths. Quantum uncertainty originates from the active risk-avoidance mechanism of the β₁ topological field under excessive observational perturbation. Furthermore, this paper establishes a rigorous structural definition of reality manifestation. It topological interprets the inherent logical principles behind the propositions that inherent destiny is fixed within an innate baseline boundary while acquired fortune trajectory allows continuous optimization, and that human transcendence is essentially topological alignment with universal ontological order. As a phased culmination of the PFUSRC theoretical system, this research constructs a complete logical chain that unifies quantum mechanical interpretation, individual existential path optimization, and macroscopic civilizational structural evolution.
Based on the PFUSRC 45° triple coaxial bicone topology, the cone–prism interlayer domain, the Valuation Axiom, the Fault-Tolerance Axiom, and the First Center observational anchoring framework, this paper constructs a unified and complete ontological mechanism for double-slit interference, wavefunction collapse, quantum fluctuation, and decoherence. We demonstrate that quantum fluctuation is not random vacuum noise, but the topological distribution of primordial units driven by Weizhao (the primordial micro-triggering mechanism in PFUSRC topology); interference occurs in the interlayer quasi-void domain rather than standard 4D spacetime; wavefunction collapse is not a stochastic jump, but deterministic topological ownership confirmation under observational anchoring; decoherence corresponds to irreversible steady-state locking. The entire process is governed by the β₁ global coupling field and satisfies the 1→5→11 dimensional evolution sequence and 12:11 universal gauge invariance. This mechanism unifies deterministic global structure and local observational phenomena, provides a complete origin-level interpretation for quantum behavior, and maintains full compatibility with conventional quantum mechanics while offering stricter logical closure.
Mainstream physics categorizes multiple observable phenomena as unresolved anomalies: the conditional switching between quantum Zeno and anti-Zeno effects, the limited applicability of double-blind experimental design in physics and cosmology, and the cosmic gravitational and expansion signatures attributed to dark matter and dark energy. Standard physical models only offer parametric descriptive accounts without identifying a unified underlying ontological substrate. As an independent theoretical deduction, this paper puts forward a unified conclusion: all three classes of anomalous phenomena are distinct layer-specific manifestations of one invariant topological substrate, consisting of the 45° biconical geometry, 12/11 gauge ratio, 55 anchor points, Ψ–Ξ anchoring coupling, β₁ active risk-avoidance response, and wisdom-ontology projection. The analysis proceeds sequentially from the quantum Zeno effect, uses the legitimate boundary of double-blind trials as a methodological control, and terminates with the ontological re-interpretation of dark matter and dark energy to complete full system re-alignment. High-frequency measurement triggers persistent Ψ–Ξ anchoring and β₁ state locking to produce the Zeno freezing effect; resonant matching between measurement frequency and intrinsic topological relaxation rhythm generates anti-Zeno accelerated evolution. Double-blind experiments only satisfy their three implicit preconditions (spatial homogeneity, single bias source, population uniformity) within the cognitive projection layer of medicine and psychology, and lose validity across high-dimensional topological physical domains. Dark matter arises from gravitational residuals of topologically excluded structures, while dark energy corresponds to the damping projection of periodic biconical breathing; both correspond to the intrinsic activity of cosmic wisdom-ontology, which physicists perceive as an unidentifiable "background force". No new physical axioms, fundamental constants or interaction mechanisms are introduced in this independent research. Every physical phenomenon functions as an independent access point to the PFUSRC topological substrate; analyzing any single phenomenon allows full reconstruction of the complete framework. The core standpoint reverses mainstream physical logic: the PFUSRC topological system is not a theoretical tool used to explain natural phenomena, but the inherent structural medium through which all physical phenomena manifest themselves.
The quantum measurement problem is a foundational issue left unresolved by the Copenhagen interpretation for nearly a century: existing theories merely postulate that observation induces wavefunction collapse as a basic axiom, without providing a corresponding microscopic physical mechanism. Based on the PFUSRC theoretical framework, this paper proposes a completely new physical picture: quantum measurement is not a passive reading of the quantum system state by experimental apparatus, but a mandatory topological anchoring of the measured subsystem \Xi by the measuring wavefunction \Psi. As the anchoring disturbance difference \Delta A increases, the underlying ontological field \beta_{1} triggers an endogenous active risk avoidance (i.e., an intrinsic dynamic response to maintain topological stability), causing the uncertainty constraint to evolve exponentially: \Delta x \cdot \Delta p \geq \frac{\hbar}{2} e^{\kappa \Delta A},\ \kappa=\frac{12}{11} Wavefunction collapse is no longer a random quantum transition without cause, but an objective physical process of phase adaptive reconstruction after \beta_{1}, constrained by anchoring topology, is forced to select a single eigen-anchoring point. Three core conclusions of this paper: 1. The Heisenberg uncertainty relation \Delta x \cdot \Delta p ≥\hbar / 2 is a degenerate special case of this modified formula in the weak measurement limit \Delta A \to 0; 2. The PFUSRC modified uncertainty relation is rooted in a complete dynamical chain of \beta_{1} “perceive disturbance → actively avoid disturbance → uncertainty increases exponentially,” possessing a clear physical mechanism, distinct from the static Copenhagen postulate; 3. The statistical meaning of the Born probability rule is equivalent to the topological weight distribution of discrete phases during \beta_{1}’s risk avoidance evolution. Three quantifiable experimental falsification criteria are proposed at the end of this paper, transforming the quantum measurement problem, long confined to philosophical speculation, into a quantitative physical issue that can be tested experimentally.
PFUSRC-008 Probability Ontology defines probability as an intrinsic constraint property of topological structures, yet it fails to resolve how probability evolves when topological structures flow and deform. As a dynamic upgrade to PFUSRC-008, this paper introduces the flow-variable field, \Psi-\Xi anchoring and information transmission mechanism to establish the topological rheology framework of probability. The core argument of this paper: probability is not a static inherent attribute of events, but the dynamic projection generated by information anchoring inside the flow-variable field. Once prediction, diagnosis or intentional adjustment tilts the \Psi-\Xi anchoring vector, information transmission paths shift accordingly, redistributing the flow-variable field and reconstructing the whole probability space. The complete causal chain is listed as information input → anchoring tilt → information path deflection → flow-variable field redistribution → probability space reorganization → outcome variation; long-term accumulated local adjustment can trigger global structural re-anchoring. The transformation of probability follows emergence rather than linear superposition. Linear calculation only provides approximate values, while structural mutations bring emergent reorganization of probability space that can only be described by interval bounds. This conclusion is fully consistent with the modified uncertainty principle in the PFUSRC system. This paper further proposes three testable predictions and standardized falsification conditions, unifying microscopic quantum measurement perturbation and macroscopic prediction adjustment under the same topological rheology paradigm.
Feynman’s path integral treats quantum evolution as a sum over all possible histories, yet mainstream physics cannot explain the ontological origin of path distribution, weight generation, or the emergence of optimal trajectories. Based on the PFUSRC axiom system, this paper addresses three core assertions: (1) The “all-paths” concept is reinterpreted as a global topological spread determined by primordial geometry, not a literal traversal. (2) The observed optimal path is a low-dimensional projection illusion, not the real evolutionary mechanism. (3) The action and path weights are not fundamental; they arise from primordial topology and the Noetic Primordium operator Ω. This paper formalizes the Noetic Primordium as a mathematical operator on path space, defines the β₁ field as the background geometry for nonlocal coherence, and links the Noeton to the valuation axiom. Unifying PFUSRC 18, PFUSRC 22, and PFUSRC 23, this work provides a complete origin-level interpretation of the path integral and an axiomatic foundation for quantum ontology.
The photon acts as the core connecting node of relativity, quantum mechanics, electrodynamics and cosmology, yet mainstream physics only treats its masslessness, light-speed propagation, energy quantization and wave-particle duality as empirical input axioms without topological derivation of their necessity. Within the axiomatic PFUSRC biconical topological system, this paper defines photons as instantaneous slicing projection events of global four-dimensional flow state variables on three-dimensional spacetime, which simultaneously serve as the standardized coupling interface for inter-structural energy exchange. All core quantum optical phenomena including wave-particle duality, double-slit interference, delayed choice, EPR nonlocality and vacuum virtual fluctuations are self-consistently deduced from four-to-three dimensional projection constraints without extra ad-hoc hypotheses. This paper proposes the Estimation-Avoidance-Selection anchoring mechanism to replace the stochastic superposition interpretation of Feynman path integrals, reconstructs the topological origin and dynamic stabilization mechanism of Planck’s constant, and strictly proves that Lagrangian mechanics is merely a degenerate projection limit of PFUSRC’s bicone expansion-convergence dynamics under four idealized boundary conditions, rather than a fundamental first principle. Testable experimental corollaries for high-precision quantum optical measurement are put forward at the end.