The path integral is a foundational formalism of quantum mechanics, yet mainstream physics cannot answer: where does the distribution of paths come from? Who determines the weights? How does the system maintain global coherence? Based on the PFUSRC framework, this paper establishes the theory of Cosmic Traffic Rules. Core claims: 1. A path is not a curve in space. A path is the spatiotemporal projection of Ψ-Ξ anchoring relationships (PFUSRC-009). It is the historical trace of anchoring, not a spatial curve.2. The orbital network is determined by bicone topological ontology (PFUSRC-00). All path distributions are predetermined by topological rigidity, not “explored” by particles.3. Coupling Interface 0 is where anchoring occurs. Its projection in the mother universe ontology is the bicone waist ring; its projection in the 4D universe projection layer is the minimal spatial gap.4. The vertex is absolutely impenetrable (PFUSRC-38). Any particle reaching the vertex is reflected — this is a topological prohibition, not a mechanical collision.5. Path conflict triggers exclusion (PFUSRC-004). When ΔA exceeds the tolerance limit, the system triggers deterministic rejection. The excluded structures become dark matter/dark energy.6. Conduction failure can lead to mother universe topological rupture (corollary). When the scale exceeds the synchronization limit of information conduction, breathing desynchronization may trigger structural disintegration. In this paper, π₁ = 12/11 is a presupposed axiom of the PFUSRC system; the complete derivation is found in PFUSRC-001. The containment relationship with general relativity is a physical mapping, not a mathematical equivalence proof.
The path integral is a foundational formalism of quantum mechanics, yet mainstream physics cannot answer: where does the distribution of paths come from? Who determines the weights? How does the system maintain global coherence? Based on the PFUSRC framework, this paper establishes the theory of Cosmic Traffic Rules. Core claims: 1. A path is not a curve in space. A path is the spatiotemporal projection of Ψ-Ξ anchoring relationships (PFUSRC-009). It is the historical trace of anchoring, not a spatial curve.2. The orbital network is determined by bicone topological ontology (PFUSRC-00). All path distributions are predetermined by topological rigidity, not “explored” by particles.3. Coupling Interface 0 is where anchoring occurs. Its projection in the mother universe ontology is the bicone waist ring; its projection in the 4D universe projection layer is the minimal spatial gap.4. The vertex is absolutely impenetrable (PFUSRC-38). Any particle reaching the vertex is reflected — this is a topological prohibition, not a mechanical collision.5. Path conflict triggers exclusion (PFUSRC-004). When ΔA exceeds the tolerance limit, the system triggers deterministic rejection. The excluded structures become dark matter/dark energy.6. Conduction failure can lead to mother universe topological rupture (corollary). When the scale exceeds the synchronization limit of information conduction, breathing desynchronization may trigger structural disintegration. In this paper, π₁ = 12/11 is a presupposed axiom of the PFUSRC system; the complete derivation is found in PFUSRC-001. The containment relationship with general relativity is a physical mapping, not a mathematical equivalence proof.
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 Feynman path integral is a foundational mathematical tool in quantum mechanics. Its popular interpretation often portrays microscopic processes as “particles traversing all possible paths simultaneously, with paths canceling one another until only one remains.” This paper argues that the path integral itself carries no ontological commitment; the issue lies in the popular interpretation that mistakes mathematical equivalence for physical reality, implicitly assuming an ontology of stochastic competition and passive cancellation. Drawing on the PFUSRC biconic ontology, this paper demonstrates that no continuous paths exist at the ontological layer; only discrete \Psi-\Xi anchoring events are present. The actual microscopic process is an ordered anchoring sequence of Estimation → Avoidance → Selection, wherein the \Xi-field performs proactive topological risk avoidance rather than passive behavior. A fourfold logical falsification of the “stochastic competition / passive cancellation” hypothesis is presented, addressing energy dissipation, entropy increase, irreconcilable phase and spin topologies, and time delay. The 720^\circ spin recovery property serves as a key empirical anchor, revealing the topologically entangled nature of microscopic particles. From a dimensional-geometric perspective, this paper further demonstrates that fundamental physical equations — the Lagrangian, the Feynman path integral, the Dirac equation, and the Einstein field equations — are all three-dimensional cross-sectional approximations of the four-dimensional biconic ontological topology, inherently discarding the degrees of freedom of the Gap Field, the \Psi/\Xi dual-field screening mechanism, and four-dimensional topological temporal ordering. Accordingly, this paper proposes the Global Path Formula as a unified ontological meta-framework. This framework is not a single computational equation; its core function is to delineate the domains of applicability, the missing degrees of freedom, and the hierarchical positioning of all classical, quantum, and gravitational physical equations. It also subsumes the scattered phenomenological corrections in contemporary frontier physics under a unified global correction logic grounded in four-dimensional ontological topology. This paper accomplishes an ontological reinterpretation of the quantum path problem and provides a unified foundational classificatory paradigm for all fundamental physical equations.
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.
Mainstream quantum mechanics and atomic physics have long relied on the Schrödinger equation, spherical harmonics, and probabilistic cloud assumptions to precisely fit atomic orbital morphology, energy level distributions, and spectral data, achieving remarkable computational effectiveness. However, they have consistently lacked an ontological morphogenetic mechanism. For over a century, the quantum framework has been able to answer “what is the distribution of orbitals,” but has never been able to answer: why must orbitals exhibit their specific geometric forms? Where do the structural constraints originate? How are wave-particle modalities ontologically generated? Grounded in the PFUSRC axiomatic system of the 45° triple coaxial bicone as the unique steady-state geometry of the cosmos, this paper completes a topological ontological reconstruction of microscopic atomic structure. It rigorously demonstrates that the atom is not a spherically symmetric stochastic probability system, but rather a microscopically solidified 45° triple coaxial biconical interlayer oscillation steady-state structure. All s/p/d/f orbital petal morphologies, spatial nodal surfaces, energy level splittings, and symmetry breakings are not solutions of equations, but geometric necessities generated by biconical nested topology, interlayer angle constraints, and the 12/11 boundary gauge ratio. This paper rigorously distinguishes between two cognitive levels: quantum mechanics belongs to the observational fitting, statistical representation, and mathematical approximation system; PFUSRC atomic topological morphogenesis belongs to the structural origin, topological generation, and ontological mechanism system. The two are fully data-compatible, completely nested in hierarchy, and entirely non-isomorphic in ontology—there is no conflict, only a paradigmatic gap between “representational fitting” and “ontological generation.” This paper further clarifies: the electron is neither a classical particle nor a mechanical wave, but a steady-state node of the four-dimensional flowvariable field topologically latched at the three-dimensional interface. Wave-particle duality is a projective observational effect, not an intrinsic property of the electron. The spherical symmetry of the s-orbital is a time-averaged observational illusion; the instantaneous intrinsic structure of the atom is always a directional biconical configuration. The atom possesses an inherent topological density gradient: dense along the conical axis, sparse in lateral regions the projective distribution is inherently non-uniform. The uniform orbital image in mainstream textbooks is the result of long-term integration smoothing. This paper introduces the 2021 Science σ-hole subatomic direct imaging experiment and the homonuclear diatomic laser-induced dissociation electron localization experiment, demonstrating from real-space observation that the atom exhibits asymmetric conical charge distribution and axial–lateral density magnitude differences, in full agreement with the topological projection predictions of the triple biconical model—piercing through the theoretical blind zone of mainstream symmetric assumptions. This paper redefines the essence of chemical bonding: chemical bonds are not electron orbital overlap couplings, but topological alignment, anchor interlocking, and steady-state co-construction between atomic biconical interlayers. The electron serves only as an interfacial marker node of the latched structure. Four experimentally falsifiable unique topological predictions are proposed, completing the full paradigmatic transition from mathematical fitting and phenomenological description to geometric generation and experimental verification in microscopic atomic systems.
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.
This paper establishes a complete, ontological interpretation of quantum tunneling within the PFUSRC framework, based on the 11-dimensional triple coaxial bicone as the universal primordial structure. Quantum tunneling is not a stochastic effect in 4D spacetime, but a deterministic topological motion occurring in the cone–prism interlayer domain. The mechanism is governed by golden-ratio fractal recursion, gap-driving axiom, inherent symmetry breaking, and the Noetic–Affective dual-terminal drive. This work unifies normal and anomalous tunneling phenomena with a self-consistent, falsifiable, geometrically grounded theory.