I. Core Propositions and Logical Outline This depository document establishes the absolute original authorship and intellectual property rights of the FT Physical Realism and Probability Analytical Framework, independently constructed by the declarant. Originating from pure mathematical logic and local geometric causality, this framework accomplishes a fundamental boundary redrawing of classical and modern probability theory, while establishing a local deterministic physical ontology:1. The Dual Classification Law of Probability's Essence: Defines and proves that the objective physical role of probability exists and is complete exclusively in two forms.2. Decoupling of Ontology and Epistemology: Rigorously denies the physical reality of "intrinsic randomness" and "pure probabilistic superposition."3. The Three Physical Barriers of Observation Limits: Systematically derives and proves the endogenous mechanism that prevents an observer from achieving "omniscience and omnipotence" within physical limits.II. Cryptographic Fingerprint and Priority LockingTo prevent unauthorized academic plagiarism and the theft of ideas, the declarant has generated an unforgeable digital fingerprint via the SHA-256 cryptographic hash algorithm for the underlying technical manuscript (Full Manuscript Version), which contains the complete mathematical derivations, local geometric evolution algorithms, corollary units, and original texts.Any act of utilizing, modifying, redefining the aforementioned core propositions, or publishing isomorphic theories without the explicit written authorization of the declarant constitutes an infringement of the declarant's priority and intellectual property rights.• Document SHA-256 Hash Values:Main Document: Core Theoretical Papers (Bundled Archive)DOC1: 2ed04fc84a8d381a3783fa86c379eb387146cac312831703577477d796748976Appendix:DOC2: 2efae2c302b2123d545b09578e101695546e1f9e8adda22080baa5552ccbb439III. Legal and Academic Notice 1. Activation of Priority: This statement takes effect upon the date of signing and the generation of the cryptographic deposit. The declarant reserves all copyrights, patent application rights, academic naming rights, and interpretive rights over derived theories worldwide.2. Confidentiality and Disclosure Restrictions: Due to the revolutionary nature of this theoretical system regarding the foundations of physics, all detailed technical specifications and mathematical derivations are currently held under the highest level of Confidential status, and will not be publicly released to the general public or any academic journals at this time.3. Infringement Liability: Should any institution or individual acquire or misappropriate this deposited propositional framework through improper channels, or attempt a secondary "re-invention," this deposit shall serve as absolute evidence in international intellectual property arbitration and legal proceedings.Declarant Signature: Feng Yuling (冯玉玲)Date of Signing: July 26, 2026
I. Core Propositions and Logical Outline This depository document establishes the absolute original authorship and intellectual property rights of the FT Physical Realism and Probability Analytical Framework, independently constructed by the declarant. Originating from pure mathematical logic and local geometric causality, this framework accomplishes a fundamental boundary redrawing of classical and modern probability theory, while establishing a local deterministic physical ontology:1. The Dual Classification Law of Probability's Essence: Defines and proves that the objective physical role of probability exists and is complete exclusively in two forms.2. Decoupling of Ontology and Epistemology: Rigorously denies the physical reality of "intrinsic randomness" and "pure probabilistic superposition."3. The Three Physical Barriers of Observation Limits: Systematically derives and proves the endogenous mechanism that prevents an observer from achieving "omniscience and omnipotence" within physical limits.II. Cryptographic Fingerprint and Priority LockingTo prevent unauthorized academic plagiarism and the theft of ideas, the declarant has generated an unforgeable digital fingerprint via the SHA-256 cryptographic hash algorithm for the underlying technical manuscript (Full Manuscript Version), which contains the complete mathematical derivations, local geometric evolution algorithms, corollary units, and original texts.Any act of utilizing, modifying, redefining the aforementioned core propositions, or publishing isomorphic theories without the explicit written authorization of the declarant constitutes an infringement of the declarant's priority and intellectual property rights.• Document SHA-256 Hash Values:Main Document: Core Theoretical Papers (Bundled Archive)DOC1: 2ed04fc84a8d381a3783fa86c379eb387146cac312831703577477d796748976Appendix:DOC2: 2efae2c302b2123d545b09578e101695546e1f9e8adda22080baa5552ccbb439III. Legal and Academic Notice 1. Activation of Priority: This statement takes effect upon the date of signing and the generation of the cryptographic deposit. The declarant reserves all copyrights, patent application rights, academic naming rights, and interpretive rights over derived theories worldwide.2. Confidentiality and Disclosure Restrictions: Due to the revolutionary nature of this theoretical system regarding the foundations of physics, all detailed technical specifications and mathematical derivations are currently held under the highest level of Confidential status, and will not be publicly released to the general public or any academic journals at this time.3. Infringement Liability: Should any institution or individual acquire or misappropriate this deposited propositional framework through improper channels, or attempt a secondary "re-invention," this deposit shall serve as absolute evidence in international intellectual property arbitration and legal proceedings.Declarant Signature: Feng Yuling (冯玉玲)Date of Signing: July 26, 2026
Framework Title: FT-Derived New Quantum Mechanics FoundationsDeposited Content: Complete Manuscript of the New Quantum Mechanics Framework (comprising Axiomatic System, Structural Hierarchy, Geometrical Quantization, Deterministic Orbital Dynamics, and Global Causal Ledger Mechanics).1. Declaration of Theoretical Paradigm (Non-Technical Summary)This document serves as an official declaration that the author has independently established a self-consistent and complete foundational system of New Quantum Mechanics. Derived directly from the first principles of Fengyuling Theory (FT), this framework completely eliminates phenomenological algebraic fittings and abstract probabilistic assumptions inherent in traditional quantum mechanics. The core paradigms comprise:1. Entity Ontology of Quanta.2. Geometrical Origin of Quantization and "Intrinsic" Quantum Numbers.3. Deterministic Nonlinear Orbital Dynamics: Eliminating "observer collapse" and supernatural randomness through deterministic causal accounting across stable attractor orbits and unstable manifold phase spaces.4. Global Causal Ledger Binding: Resolving wave-particle duality, the Aharonov-Bohm effect, and quantum entanglement under strict localized causality without invoking non-local mysticism.2. Cryptographic Fingerprint (SHA-256)To secure absolute priority of discovery over the complete theoretical framework while protecting core technical derivations and equations prior to formal publication, the digital fingerprint (SHA-256 hash) of the original complete manuscript is hereby permanently logged:• Main Document: FT-Derived New Quantum Mechanics• DOC1: cd236121a9f74ead18ec0ac52910e51b90e163b1d4f2b8e20ddbf88bd6ab2fbc• Attachments:• DOC2: 41d21572e0ced0ba365cc7d12322ae56cc5e3a72b14580f1ace995316a4fd51bDeclarant: Feng Yuling (Independent Researcher)Date of Deposit: July 28, 2026
Framework Title: FT-Derived New Quantum Mechanics FoundationsDeposited Content: Complete Manuscript of the New Quantum Mechanics Framework (comprising Axiomatic System, Structural Hierarchy, Geometrical Quantization, Deterministic Orbital Dynamics, and Global Causal Ledger Mechanics).1. Declaration of Theoretical Paradigm (Non-Technical Summary)This document serves as an official declaration that the author has independently established a self-consistent and complete foundational system of New Quantum Mechanics. Derived directly from the first principles of Fengyuling Theory (FT), this framework completely eliminates phenomenological algebraic fittings and abstract probabilistic assumptions inherent in traditional quantum mechanics. The core paradigms comprise:1. Entity Ontology of Quanta.2. Geometrical Origin of Quantization and "Intrinsic" Quantum Numbers.3. Deterministic Nonlinear Orbital Dynamics: Eliminating "observer collapse" and supernatural randomness through deterministic causal accounting across stable attractor orbits and unstable manifold phase spaces.4. Global Causal Ledger Binding: Resolving wave-particle duality, the Aharonov-Bohm effect, and quantum entanglement under strict localized causality without invoking non-local mysticism.2. Cryptographic Fingerprint (SHA-256)To secure absolute priority of discovery over the complete theoretical framework while protecting core technical derivations and equations prior to formal publication, the digital fingerprint (SHA-256 hash) of the original complete manuscript is hereby permanently logged:• Main Document: FT-Derived New Quantum Mechanics• DOC1: cd236121a9f74ead18ec0ac52910e51b90e163b1d4f2b8e20ddbf88bd6ab2fbc• Attachments:• DOC2: 41d21572e0ced0ba365cc7d12322ae56cc5e3a72b14580f1ace995316a4fd51bDeclarant: Feng Yuling (Independent Researcher)Date of Deposit: July 28, 2026
This statement serves as a deterministic logical anchor for the core physical discoveries concerning specific discrete quantum dynamics and spacetime correlation protocols. To ensure the absolute establishment of intellectual asset ownership and causal-temporal priority, while strictly sealing all undisclosed details of micro-state machine evolution, binary bit-shifting topological paths, and standard model liquidation equations, the following hash eigenvalue deposit is hereby published.Authority belongs only to causality; once a logical state is locked, it remains unalterable.I. Deposit Metadata Information• Asset Owner (Author): Feng Yuling (冯玉玲)• Theoretical Framework: Fengyuling Theory / LSG Theory (Local Sourced Gravity)• Subject of Deposit: A deterministic model of quantum motion orbital topology and spacetime correlation refresh protocols based on the discrete dynamical primordial images of the Euler square-sum formula and the Wallis even-odd product formula, completely stripped of continuous wave functions and probabilistic interpretations.• Date of Deposit: June 27, 2026II. Core Asset Logical Fingerprint (SHA-256 State Lock)The following hash values are generated via the standard SHA-256 algorithm from the original source documents (Markdown & Text Source) containing the full, enriched discrete physical derivations, undisclosed underlying state-machine gating protocol source code, binary bit-shifting cancellation matrices, and boundary liquidation formulas targeted at existing quantum field theories:SHA-256 Fingerprint: Doc1: 4c95effedd34ccb610d2e45714488e869e2b0fbb5dbf4eea91a65300631da058Doc2: 29030ef6569ca8553c17819642e3148a1ae581054f0d22de6d2cb42401dc111fStatement Note: This fingerprint locks the verbatim logic and causal thread of the documents. Without disclosing any specific micro-evolutionary equations or liquidation details, it mathematically establishes the author’s absolute priority over the foundational physical insight that "physics dictates mathematics—completely deconstructing the circular gauge of quantum mechanics through discrete even-odd bit-shifting and inverse-square master accounting." As causality flows, this state cannot be altered, and it remains irrevocable.
Abstract Cryptography proves "knowledge," but it cannot prove "physical origin." This gap is now being forcefully pried open by the 2026 Convergence: Quantum computing erodes the hardness assumptions behind traditional signatures, while Agentic AI drives the marginal cost of synthesizing fraudulent transactions toward zero in a pure algorithmic cloud (a "Causal Vacuum"). This white paper proposes a physical-layer provenance framework for high-assurance financial networks, anchored not by computational hardness, but by the Second Law of Thermodynamics. The framework rests on the Physical-Asymmetry Postulate (Eproduce≫Everify): producing a genuine physical history forces an attacker to do real thermodynamic work, whereas verifying it takes only a single measurement. We introduce Five Physical-Layer Provenance Pillars: CVD (Causal Vacuum Detection): Checking the dissipation trace of real work against synthetic generation. Thermodynamic Audit (TGO / Leq≤0.5 mm): A topological geometric offload framework for origin-side verification. SII (Spatial-Inertial phase Identification): Validating physical-origin consistency up to the Tsirelson quantum ceiling. Zero-Friction Blocking: Default volatility driven by entropy increase. ZTJ-L (Zeno-Triggered Joule Latch): An irreversible phase-transition trigger (Fend state) using the Landauer limit (Emin≥kBT ln2) to destroy high-risk paths physically rather than logically. Strict Disclosure Tiering Statement (Legal & Patent Boundary) To prevent any ambiguity regarding prior art and intellectual property, the contents of this paper are strictly divided into three tiers: Tier 1 (Public Assets): The physical-layer principles of the five pillars, the causal vacuum concept, and the equivalent spatial-length threshold Leq≤0.5 mm, originating from earlier-filed, priority-protected parent applications. Tier 2 (Public Physics): Independent reproducible verification using public physical constants (e.g., Jarzynski equality, CHSH limits). Tier 3 (Deliberately Withheld / CIP Pending): Crucial device-level implementation details—specifically the calibration matrices, sensor front-end parameters, Mproj projection weights, pulse waveforms, and the cooperative integration protocol with the clearing network. These are intentionally reserved as trade secrets and pending patent subject matter. This paper contains no undisclosed implementation parameters. TL;DR / Final Legal Boundary: Tier 1: physical mechanisms (CVD / SII / TGO / Λ24 / Leq) already disclosed in HPCA / V7.5 / V8.5. Tier 2: publicly reproducible physical-constant checks. Tier 3: cooperative integration protocol kept under pending CIP and trade secret.
This work introduces the term 'Bounded Randomness' as an original conceptual framework by the author, defining randomness as a computational resource constrained by physical budget. V5.4 introduces the Entanglement Density parameter D_E formally linked to von Neumann entanglement entropy, establishes the Planck time as the absolute lower bound on the phase transition timescale, and introduces a formal critique of gradient decoherence models as physically inconsistent with conservation laws. V6.1 introduces the Macroscopic Restrictive Barrier — a thermodynamically irreversible stabilization mechanism explaining structural integrity of macroscopic objects — formalizes the Unified Dark Sector as two opposing consequences of a single unknotting process, adds the Correspondence Principle bridging the hypothesis to standard Quantum Mechanics, and clarifies that unrealized probabilistic branches are strictly virtual computational possibilities, not parallel realities. V7.2 introduces a Foundational Philosophy section establishing logic as the constitutive fabric of reality (The Background Operator Problem), formally connecting quantum probability to Gödelian incompleteness via Cubitt et al. (2015), and linking the dilaton field Φ to the Logical Language of the Fabric. V8.3 resolves the black hole information paradox through a finite topological core bounded by Planck density, introduces the three-act particle model, and establishes black hole evaporation as a necessary condition for conformal rebirth. V9.0 introduces the Author's Note on Working Methodology (transparent disclosure of age, role of AI tools, and epistemological limits), formalizes the four-tiered categorical hierarchy of reality as a Conceptually Isomorphic Framework (Logic → Laws → Space → Time), and introduces Section 5.4: a deductive critique of quantum consciousness theories (Orch-OR), demonstrating their thermodynamic invalidity under the Macroscopic Restrictive Barrier. V9.5 introduces three new authorial concepts: the ontological distinction between virtual quantum branches and macroscopic cognition (hallucinations are real macro-events, not virtual states), the formalization of the Dark Sector as equal deterministic properties of Space governed by the Laws layer and invariant across cycles, and the mathematical proof via Liouville measure that conformal rebirth invariably yields unique non-repeating topological configurations (P = 0). The critique of gradient decoherence models is restored as a dedicated section. V10.0 introduces three new authorial concepts: "Logic, Truth, and Fundamentality" — formalizing logic as an absolute meta-rule and the sole condition for existence (true illogic is absolute nothingness, not chaos); "Meaning and Direction" — a mechanistic resolution of the question of meaning, distinguishing objective Direction (thermodynamic necessity) from subjective meaning (a local macroscopic phenomenon generated via Bounded Randomness); and a dedicated section "Heuristic Estimates and Phenomenological Models" separating all phenomenological constructs from core architecture. Open Questions are expanded to include the cosmological scaling law of ρinfo(a), compatibility with FLRW equations and Bianchi identities, and the formal derivation of the galactic density profile from ρinfo. V11.0 introduces three new authorial concepts: "Infinity as Potential, Not Actual" — rejecting actual infinity as a completed physical object; all mathematical singularities and infinite limits are reinterpreted as potential processes without reachable endpoints; "Probabilistic Distribution and the Emergence of Life" — life requires no teleological explanation; the correct question is not "why is life possible" but "what prohibits it"; in the absence of prohibition, emergence is a necessary probabilistic consequence of invariant laws; and the formal clarification that the connection between Gödel's Incompleteness Theorems and quantum uncertainty is a conceptual parallel, not a mathematical theorem, now explicitly placed in the Heuristic Estimates section. The Modified Einstein Field Equations are moved to heuristics with an explicit Bianchi identity disclaimer. Open Questions expanded to include the formal derivation of hadron masses from structural complexity via Lattice QCD. V12: global changes.
The Origin of Probability: A Complete Derivation in Three Parts is the collected edition of a three-part theoretical investigation into the structural origin of probability within a deterministic closed-description framework. The work asks a deliberately narrow but foundational question: under what conditions can a system whose underlying description remains deterministic acquire a lawful probability-bearing description without inserting primitive randomness, probabilistic axioms, or the Born rule at the beginning of the construction? The trilogy develops that question cumulatively. Each part establishes a distinct layer of the argument, and later results depend on structures and limitations established earlier. The collected edition therefore preserves the full dependency order rather than treating the three papers as independent essays. It also includes a narrative overview and terminology guide intended to make the architecture of the complete derivation easier to follow. Part I, Finite Recurrent Stability Before Spacetime: Collapse, Emergence, Horizons, and Recurrence as Recoverability Boundaries, develops the realization-neutral structural foundation. It begins from persistent relational distinction and recoverability rather than assuming spacetime, metric distance, clock time, energy, probability, or quantum measurement. Within a declared finite-stability regime it distinguishes contraction, correction, carry-through, collapse, emergence, recurrence, cycle structure, and horizon-like boundaries by their effects on recoverable relational structure. Collapse and emergence appear as distinct lower- and upper-bound failures of one finite recurrent-stability architecture. Weak oscillatory form is subsequently obtained only at structural scope, without promoting recurrence into a physical wave, temporal oscillation, or cosmological mechanism. Part II, Stability, Boundary Observability, and Emergent Probability in Deterministic Systems, develops the transition from deterministic structural dynamics to probability-bearing description. Its central problem is not whether deterministic evolution can simply be renamed probabilistic, but whether loss of recoverability at an admissible boundary can support a lawful reduced description of unresolved alternatives. The paper therefore separates Boundary Loss from probability itself and distinguishes quotient formation, reduced observability, scalar closure, finite measure, normalization, and predictive interpretation as separate derivational burdens. A normalized set of branch weights is not treated as probability merely because it sums to one. Probability status is admitted only after the additional structural and interpretive conditions required for predictive use have been isolated. Part III, Boundary Loss and the Born Rule: The Origin of Probability, carries the construction into a bounded physical realization framework. Boundary Loss supplies unresolved alternatives but does not itself supply numerical probability. The derivation therefore proceeds through source-grounded scalar residues, finite positive total measure, normalization, local predictive admission, and independent source-state and event bridges into Hilbert-space representation. A minimum compatibility condition is then isolated, explicitly adopted at the appropriate stage, and applied separately. At the resulting local source-linked scope, the construction reaches the exact Born form p_i = ⟨J(Ψ), P_i J(Ψ)⟩ = ||P_i J(Ψ)||². The significance of the trilogy lies as much in the separation of these stages as in the terminal equation. Boundary Loss is not equated with probability. Scalarization is not assumed to be probability. Normalization is not treated as sufficient for probability. Hilbert-space representation is not allowed to retroactively supply the earlier structural derivation. Compatibility required for the final Born-form application is distinguished from structures already derived. The dependency chain is therefore designed so that later mathematical convenience cannot be silently imported backward as an earlier premise. Across the three parts, the argument develops the following bounded sequence: ordered dependence → recoverable distinction → finite recurrent stability → collapse/emergence boundary structure → boundary observability → Boundary Loss → unresolved alternatives → scalar closure → finite measure → normalization → predictive probability → Hilbert-space source and event bridges → minimum compatibility → exact local source-linked Born form. The collected edition is intended to function as the canonical integrated research record for this derivation. It contains the trilogy overview followed by Part I Version 4, Part II Version 3, and Part III Version 2. Internal bookmarks and navigation link the overview directly to the title page of each constituent work, while the individual papers remain separately citable publications with their own persistent identifiers. Constituent works: Part I: Finite Recurrent Stability Before Spacetime: Collapse, Emergence, Horizons, and Recurrence as Recoverability BoundariesDOI: 10.5281/zenodo.19966230 Part II: Stability, Boundary Observability, and Emergent Probability in Deterministic SystemsDOI: 10.5281/zenodo.19966289 Part III: Boundary Loss and the Born Rule: The Origin of ProbabilityDOI: 10.5281/zenodo.20102172 Taken as a whole, the trilogy proposes a disciplined route from recoverability and deterministic boundary structure to probability and, at its final declared scope, to the Born form. Its central methodological requirement is that every transition be earned at the layer where it is used, with unresolved burdens, adopted conditions, nonclaims, and realization boundaries kept explicit rather than compressed into the final result.