00.0.0_Z-System．量子結構學派 (Quantum Structural Dynamics, QSD) v1.0

Quantum Spectrodynamics (QSD) is a framework for deriving physical dynamics from eigenvalue spectra of quantum error correction codes. Its starting point is an observation: The universe is suspiciously stable. An isolated qubit in the best laboratory on Earth decoheres in microseconds. A warm, dense, radiation-bathed universe has maintained coherent, lawful, persistent structure for 13.8 billion years — the same particles, the same couplings, the same interference phenomena, everywhere we look. Quantum states are fragile; the quantum universe is not. Physics knows exactly one class of systems that preserve quantum information against continuous noise: error-corrected ones. QSD takes that observation as its single structural axiom: (L0) The universe is a quantum error-correcting code $[[n,k,d]]_q$ — with all four parameters initially unknown. Everything else is derivation. The code parameters are selected, not chosen: a seven-step exclusion chain plus Landauer's thermodynamic principle single out the perfect five-qubit code $[[5,1,3]]_2$ as the unique minimal, thermodynamically ground-state solution. The selected code's geometry then fixes three constants, and those constants fix the dynamics. QSD is a framework for deriving physical dynamics — not, specifically, a model of the Standard Model. The Standard Model sector (gauge couplings, masses) is its first worked application (v1.0, this repository's original release); the same machinery derives the code-selection theorem itself and gravitational dynamics (Phase 2, releasing incrementally as v2.x). - Holographic bit density $Hb_4 = 1/(4 \ln 2)$ — from $K_4$ (the $n−k = 4$ stabiliser/face count; the Bekenstein–Hawking factor 4 is a consequence) - Spectral bond $ϖ = π φ²$ — from $C_5$ (spectral class ratio $φ²$ ) - Geometric strain $ς = 3/(80 φ²)$ — from $K_4 ∪ C_5$ (the frustration of the two geometries; the framework's small parameter) Symbol Observable QSD Prediction Experimental Value Agreement $\alpha^{-1}$ Fine structure constant $137.033$ $137.036$ $-21.7$ ppm $\alpha_s(M_Z)$ Strong coupling at $M_Z$ $3π/80 = 0.11781$ $0.1180 \pm 0.0009$ $0.16\%$ $\sin^2\theta_W$ Weak mixing angle $0.23122$ $0.23122 \pm 0.00003$ $< 0.01\%$ $m_H$ Higgs boson mass $126.7$ GeV $125.25$ GeV $1.3\%$ $E_{\mathrm{syn}}$ Snap energy $28.24$ GeV $\sim 28$ GeV* $0.2\%$ * falsifiable 28.24 GeV snap energy coinciding with the CMS dimuon excess at ~28.3 GeV (CMS-PAS-HIG-20-009) A modular record This record grows by parts. Each version adds a self-contained paper with its supplements as a new section; published sources are never rewritten. Part 0 — Phase 1: the Standard Model sector (v1.0, March 2026) Main preprint (quantum_spectrodynamics) + supplements S1–S7 + technical note TN-1, with the computational validation suite and interactive visualizations. S1 formal proofs · S2 energy scale · S3 Lagrangian · S4 topological renormalization (α⁻¹) · S5 the 28 GeV prediction & proton stability · S6 string correspondence · S7 cosmological constant · TN-1 Hb notation. Part 1 — Phase 2, Paper 1: code selection (v2.0, July 2026) P1 — The QECC Selection Theorem (qsd2_p1_code_selection): why $[[5,1,3]]_2$ and nothing else — the seven-step exclusion chain from L0 plus Landauer's principle as the thermodynamic selector. With supplements: S8 — Crossing errors and Deutsch CTCs (qsd2_s8_crossing_ctc): the crossing-error channel is a Deutsch closed timelike curve; fixed-point consistency and its forensic record. S9 — The observer (qsd2_s9_observer): the observer as a code-internal structure; measurement as syndrome extraction. Supplement numbering is programme-wide (S1–S7 phase 1, S8+ phase 2). *(Future parts: P2 node & triad $→$ v2.1 · P3 lattice $→$ v2.2 · P4 transition $→$ v2.3 · P5 Einstein equations $→$ v2.4, each with its supplements. The derivation-walkthrough series and the QSD wiki knowledge base are slated for v3.)* Files on this record - quantum_spectrodynamics.pdf — main preprint (start here) - qsd2_p1_code_selection.pdf — Phase 2 Paper 1 (v2.0 entry document) - qsd2_s8_crossing_ctc.pdf — S8 crossing errors and Deutsch CTCs - qsd2_s9_observer.pdf — S9 the observer within QSD - qsd_pdfs.zip — v1 +v2 + the v1 errata, as PDFs - qsd_v2.0_full.zip — complete repository snapshot (sources, code, visualization) Epistemic transparency Phase 2 documents tag every major claim: [R] rigorous (derived from L0 + established mathematics) [C+] well-supported conjecture (named external premise) [T] thermodynamic principle (empirical) [EXP] exploratory/speculative [O] open problem Phase 1 used the coarser Derived/Constructed/Open scheme; the mapping is one-to-one. Known corrections to published sources are collected in the v1 errata (ships with v2.0); published files themselves stay frozen. Version history Version Date Adds v1.0.0 2026-03 Phase 1: main preprint, S1–S7, TN-1, code, visualizations v2.0.0 2026-09 Phase 2 Part 1: P1 code selection, S8, S9; unified preamble & bibliography; v1 errata; repository restructure (manuscripts/supplements/derivations)Quantum Spectrodynamics (QSD) is a framework for deriving physical dynamics from eigenvalue spectra of quantum error correction codes. Its starting point is an observation: The universe is suspiciously stable. An isolated qubit in the best laboratory on Earth decoheres in microseconds. A warm, dense, radiation-bathed universe has maintained coherent, lawful, persistent structure for 13.8 billion years — the same particles, the same couplings, the same interference phenomena, everywhere we look. Quantum states are fragile; the quantum universe is not. Physics knows exactly one class of systems that preserve quantum information against continuous noise: error-corrected ones. QSD takes that observation as its single structural axiom: (L0) The universe is a quantum error-correcting code $[[n,k,d]]_q$ — with all four parameters initially unknown. Everything else is derivation. The code parameters are selected, not chosen: a seven-step exclusion chain plus Landauer's thermodynamic principle single out the perfect five-qubit code $[[5,1,3]]_2$ as the unique minimal, thermodynamically ground-state solution. The selected code's geometry then fixes three constants, and those constants fix the dynamics. QSD is a framework for deriving physical dynamics — not, specifically, a model of the Standard Model. The Standard Model sector (gauge couplings, masses) is its first worked application (v1.0, this repository's original release); the same machinery derives the code-selection theorem itself and gravitational dynamics (Phase 2, releasing incrementally as v2.x). - Holographic bit density $Hb_4 = 1/(4 \ln 2)$ — from $K_4$ (the $n−k = 4$ stabiliser/face count; the Bekenstein–Hawking factor 4 is a consequence) - Spectral bond $ϖ = π φ²$ — from $C_5$ (spectral class ratio $φ²$) - Geometric strain $ς = 3/(80 φ²)$ — from $K_4 ∪ C_5$ (the frustration of the two geometries; the framework's small parameter) Symbol Observable QSD Prediction Experimental Value Agreement $\alpha^{-1}$ Fine structure constant $137.033$ $137.036$ $-21.7$ ppm $\alpha_s(M_Z)$ Strong coupling at $M_Z$ $3π/80 = 0.11781$ $0.1180 \pm 0.0009$ $0.16\%$ $\sin^2\theta_W$ Weak mixing angle $0.23122$ $0.23122 \pm 0.00003$ $< 0.01\%$ $m_H$ Higgs boson mass $126.7$ GeV $125.25$ GeV $1.3\%$ $E_{\mathrm{syn}}$ Snap energy $28.24$ GeV $\sim 28$ GeV* $0.2\%$ * falsifiable 28.24 GeV snap energy coinciding with the CMS dimuon excess at ~28.3 GeV (CMS-PAS-HIG-20-009) A modular record This record grows by parts. Each version adds a self-contained paper with its supplements as a new section; published sources are never rewritten. Part 0 — Phase 1: the Standard Model sector (v1.0, March 2026) Main preprint (quantum_spectrodynamics) + supplements S1–S7 + technical note TN-1, with the computational validation suite and interactive visualizations. S1 formal proofs · S2 energy scale · S3 Lagrangian · S4 topological renormalization (α⁻¹) · S5 the 28 GeV prediction & proton stability · S6 string correspondence · S7 cosmological constant · TN-1 Hb notation. Part 1 — Phase 2, Paper 1: code selection (v2.0, July 2026) P1 — The QECC Selection Theorem (qsd2_p1_code_selection): why $[[5,1,3]]_2$ and nothing else — the seven-step exclusion chain from L0 plus Landauer's principle as the thermodynamic selector. With supplements: S8 — Crossing errors and Deutsch CTCs (qsd2_s8_crossing_ctc): the crossing-error channel is a Deutsch closed timelike curve; fixed-point consistency and its forensic record. S9 — The observer (qsd2_s9_observer): the observer as a code-internal structure; measurement as syndrome extraction. Supplement numbering is programme-wide (S1–S7 phase 1, S8+ phase 2). *(Future parts: P2 node & triad $→$ v2.1 · P3 lattice $→$ v2.2 · P4 transition $→$ v2.3 · P5 Einstein equations $→$ v2.4, each with its supplements. The derivation-walkthrough series and the QSD wiki knowledge base are slated for v3.)* Files on this record - quantum_spectrodynamics.pdf — main preprint (start here) - qsd2_p1_code_selection.pdf — Phase 2 Paper 1 (v2.0 entry document) - qsd2_s8_crossing_ctc.pdf — S8 crossing errors and Deutsch CTCs - qsd2_s9_observer.pdf — S9 the observer within QSD - qsd_pdfs.zip — v1 +v2 + the v1 errata, as PDFs - qsd_v2.0_full.zip — complete repository snapshot (sources, code, visualization) Epistemic transparency Phase 2 documents tag every major claim: [R] rigorous (derived from L0 + established mathematics) [C+] well-supported conjecture (named external premise) [T] thermodynamic principle (empirical) [EXP] exploratory/speculative [O] open problem Phase 1 used the coarser Derived/Constructed/Open scheme; the mapping is one-to-one. Known corrections to published sources are collected in the v1 errata (ships with v2.0); published files themselves stay frozen. Version history Version Date Adds v1.0.0 2026-03 Phase 1: main preprint, S1–S7, TN-1, code, visualizations v2.0.0 2026-09 Phase 2 Part 1: P1 code selection, S8, S9; unified preamble & bibliography; v1 errata; repository restructure (manuscripts/supplements/derivations)

Mar 3, 20260 citations

Quantum Survival Dimension for Coherence-Threshold Prediction in Multirate Open Quantum Systems

Omkar Nawale

Abstract Understanding and predicting the loss of quantum coherence is a central challenge in open quantum systems, quantum information processing, and quantum technologies. This study introduces the Quantum Survival Dimension (QSD) framework, a survival-scaling approach designed to characterize coherence suppression and improve prediction of coherence-threshold behaviour in multirate and non-exponential quantum dynamics. Rather than modifying established quantum theory, QSD serves as a descriptive and predictive layer built upon standard open-system dynamics.The framework was evaluated on a large synthetic benchmark comprising 840 quantum systems spanning seven channel families, including dephasing, amplitude damping, depolarizing, multirate, and non-exponential survival processes. Performance was assessed using coherence-threshold prediction tasks and compared against conventional exponential and machine-learning baselines. Results show that a physics-resolved survival model incorporating QSD concepts substantially improves prediction accuracy relative to a one-rate exponential baseline. However, QSD features alone do not provide sufficient predictive power and perform worse than several rate-informed approaches. When combined with rate-based information, QSD contributes a modest but measurable improvement in predictive performance.These findings support QSD as a useful survival-modelling language for describing coherence suppression in complex quantum systems, particularly when channel-resolved information is available. At the same time, the results indicate that QSD should be interpreted as a structured descriptive framework rather than a replacement for decoherence theory or a new fundamental physical principle. The study establishes a conservative, testable, and falsifiable approach for organizing and predicting coherence dynamics in multirate open quantum systems.Abstract Understanding and predicting the loss of quantum coherence is a central challenge in open quantum systems, quantum information processing, and quantum technologies. This study introduces the Quantum Survival Dimension (QSD) framework, a survival-scaling approach designed to characterize coherence suppression and improve prediction of coherence-threshold behaviour in multirate and non-exponential quantum dynamics. Rather than modifying established quantum theory, QSD serves as a descriptive and predictive layer built upon standard open-system dynamics.The framework was evaluated on a large synthetic benchmark comprising 840 quantum systems spanning seven channel families, including dephasing, amplitude damping, depolarizing, multirate, and non-exponential survival processes. Performance was assessed using coherence-threshold prediction tasks and compared against conventional exponential and machine-learning baselines. Results show that a physics-resolved survival model incorporating QSD concepts substantially improves prediction accuracy relative to a one-rate exponential baseline. However, QSD features alone do not provide sufficient predictive power and perform worse than several rate-informed approaches. When combined with rate-based information, QSD contributes a modest but measurable improvement in predictive performance.These findings support QSD as a useful survival-modelling language for describing coherence suppression in complex quantum systems, particularly when channel-resolved information is available. At the same time, the results indicate that QSD should be interpreted as a structured descriptive framework rather than a replacement for decoherence theory or a new fundamental physical principle. The study establishes a conservative, testable, and falsifiable approach for organizing and predicting coherence dynamics in multirate open quantum systems.

Sep 9, 20260 citations

量子存储（Quantum memory）

郭国平, 郭光灿

量子光学学报Jan 1, 20020 citations

量子拓樸快遞方法 Quantum Topology Express Method

Alaric Kuo

Jan 1, 20260 citations

On the Exact Frequency-Dependent Susceptibility of the Two-Dimensional Ising Model

G. A. T. Allan, Donald D. Betts

Fisher has found exactly for the square and honeycomb lattice the static initial perpendicular susceptibility of the quantum-mechanical version of the Ising model defined by the Hamiltonian H=−J ∑ nnσizσjz−mHx(t) ∑ iσix,where all symbols have their usual meanings. As the magnetization, Mx = mΣiσix, does not commute with the Hamiltonian, the system can relax and Kubo's linear response theory can be applied. We have been able to evaluate the response function exactly and hence obtain simply the exact frequency-dependent initial perpendicular susceptibility for the honeycomb lattice Jχ⊥(ω,T)/Nm2=¾[〈σ0zσ1z〉−〈σ0zσ1zσ2zσ3z〉]ω02/(ω02−ω2)+3[¾〈σ0zσ1z〉+¼〈σ0zσ1zσ2zσ3z〉]ω02/(9ω02−ω2),where ω0 = 2J/ℏ and 〈σ0zσ1z〉 is the nearest-neighbor correlation evaluated by Onsager. A similar expression is obtained for the square lattice. For the four-particle correlation 〈σ0zσ1zσ2zσ3z〉 the other three spins are nearest neighbors to spin zero, and we have obtained its value from Fisher's transformation theory. The behavior of χ⊥ as a function of T and ω is described and its physical significance is discussed.Fisher has found exactly for the square and honeycomb lattice the static initial perpendicular susceptibility of the quantum-mechanical version of the Ising model defined by the Hamiltonian H=−J ∑ nnσizσjz−mHx(t) ∑ iσix,where all symbols have their usual meanings. As the magnetization, Mx = mΣiσix, does not commute with the Hamiltonian, the system can relax and Kubo's linear response theory can be applied. We have been able to evaluate the response function exactly and hence obtain simply the exact frequency-dependent initial perpendicular susceptibility for the honeycomb lattice Jχ⊥(ω,T)/Nm2=¾[〈σ0zσ1z〉−〈σ0zσ1zσ2zσ3z〉]ω02/(ω02−ω2)+3[¾〈σ0zσ1z〉+¼〈σ0zσ1zσ2zσ3z〉]ω02/(9ω02−ω2),where ω0 = 2J/ℏ and 〈σ0zσ1z〉 is the nearest-neighbor correlation evaluated by Onsager. A similar expression is obtained for the square lattice. For the four-particle correlation 〈σ0zσ1zσ2zσ3z〉 the other three spins are nearest neighbors to spin zero, and we have obtained its value from Fisher's transformation theory. The behavior of χ⊥ as a function of T and ω is described and its physical significance is discussed.

Journal of Applied PhysicsFeb 1, 19681 citation

[[n,k,d]]_q

— with all four parameters initially unknown. Everything else is derivation. The code parameters are selected, not chosen: a seven-step exclusion chain plus Landauer's thermodynamic principle single out the perfect five-qubit code

[[5,1,3]]_2

as the unique minimal, thermodynamically ground-state solution. The selected code's geometry then fixes three constants, and those constants fix the dynamics. QSD is a framework for deriving physical dynamics — not, specifically, a model of the Standard Model. The Standard Model sector (gauge couplings, masses) is its first worked application (v1.0, this repository's original release); the same machinery derives the code-selection theorem itself and gravitational dynamics (Phase 2, releasing incrementally as v2.x). - Holographic bit density

Hb_4 = 1/(4 \ln 2)

— from

K_4

(the

n−k = 4

stabiliser/face count; the Bekenstein–Hawking factor 4 is a consequence) - Spectral bond

ϖ = π φ²

— from

C_5

(spectral class ratio

φ²

) - Geometric strain

ς = 3/(80 φ²)

— from

K_4 ∪ C_5

(the frustration of the two geometries; the framework's small parameter) Symbol Observable QSD Prediction Experimental Value Agreement

\alpha^{-1}

Fine structure constant

137.033

137.036

-21.7

ppm

\alpha_s(M_Z)

Strong coupling at

M_Z

3π/80 = 0.11781

0.1180 \pm 0.0009

0.16\%

\sin^2\theta_W

Weak mixing angle

0.23122

0.23122 \pm 0.00003

< 0.01\%

m_H

Higgs boson mass

126.7

GeV

125.25

GeV

1.3\%

E_{\mathrm{syn}}

Snap energy

28.24

GeV

\sim 28

GeV*

0.2\%

* falsifiable 28.24 GeV snap energy coinciding with the CMS dimuon excess at ~28.3 GeV (CMS-PAS-HIG-20-009) A modular record This record grows by parts. Each version adds a self-contained paper with its supplements as a new section; published sources are never rewritten. Part 0 — Phase 1: the Standard Model sector (v1.0, March 2026) Main preprint (quantum_spectrodynamics) + supplements S1–S7 + technical note TN-1, with the computational validation suite and interactive visualizations. S1 formal proofs · S2 energy scale · S3 Lagrangian · S4 topological renormalization (α⁻¹) · S5 the 28 GeV prediction & proton stability · S6 string correspondence · S7 cosmological constant · TN-1 Hb notation. Part 1 — Phase 2, Paper 1: code selection (v2.0, July 2026) P1 — The QECC Selection Theorem (qsd2_p1_code_selection): why

[[5,1,3]]_2

and nothing else — the seven-step exclusion chain from L0 plus Landauer's principle as the thermodynamic selector. With supplements: S8 — Crossing errors and Deutsch CTCs (qsd2_s8_crossing_ctc): the crossing-error channel is a Deutsch closed timelike curve; fixed-point consistency and its forensic record. S9 — The observer (qsd2_s9_observer): the observer as a code-internal structure; measurement as syndrome extraction. Supplement numbering is programme-wide (S1–S7 phase 1, S8+ phase 2). *(Future parts: P2 node & triad

→

v2.1 · P3 lattice

→

v2.2 · P4 transition

→

v2.3 · P5 Einstein equations

→

v2.4, each with its supplements. The derivation-walkthrough series and the QSD wiki knowledge base are slated for v3.)* Files on this record - quantum_spectrodynamics.pdf — main preprint (start here) - qsd2_p1_code_selection.pdf — Phase 2 Paper 1 (v2.0 entry document) - qsd2_s8_crossing_ctc.pdf — S8 crossing errors and Deutsch CTCs - qsd2_s9_observer.pdf — S9 the observer within QSD - qsd_pdfs.zip — v1 +v2 + the v1 errata, as PDFs - qsd_v2.0_full.zip — complete repository snapshot (sources, code, visualization) Epistemic transparency Phase 2 documents tag every major claim: [R] rigorous (derived from L0 + established mathematics) [C+] well-supported conjecture (named external premise) [T] thermodynamic principle (empirical) [EXP] exploratory/speculative [O] open problem Phase 1 used the coarser Derived/Constructed/Open scheme; the mapping is one-to-one. Known corrections to published sources are collected in the v1 errata (ships with v2.0); published files themselves stay frozen. Version history Version Date Adds v1.0.0 2026-03 Phase 1: main preprint, S1–S7, TN-1, code, visualizations v2.0.0 2026-09 Phase 2 Part 1: P1 code selection, S8, S9; unified preamble & bibliography; v1 errata; repository restructure (manuscripts/supplements/derivations)