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
Hb4=1/(4ln2) — from
K4 (the
n−k=4 stabiliser/face count; the Bekenstein–Hawking factor 4 is a consequence) - Spectral bond
ϖ=πφ2 — from
C5 (spectral class ratio
φ2) - Geometric strain
ς=3/(80φ2) — from
K4∪C5 (the frustration of the two geometries; the framework's small parameter) Symbol Observable QSD Prediction Experimental Value Agreement
α−1 Fine structure constant
137.033 137.036 −21.7 ppm
αs(MZ) Strong coupling at
MZ 3π/80=0.11781 0.1180±0.0009 0.16% sin2θW Weak mixing angle
0.23122 0.23122±0.00003 <0.01% mH Higgs boson mass
126.7 GeV
125.25 GeV
1.3% Esyn Snap energy
28.24 GeV
∼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)
FINDING: The Hopf fibration (S³→S²) is the topological backbone of single-qubit Bloch sphere geometry, and its generalization to multi-qubit entangled states via higher-dimensional Hopf fibrations reveals a nested sphere structure where entanglement corresponds to specific fiber/base decompositions. | MATH: Single qubit: S³ ≅ SU(2) ≅ Hopf fiber bundle S¹ ↪ S³ → S² (base = Bloch sphere, fiber = U(1) phase). For 2 qubits: S⁷ → S⁴ (Hopf fibration with S³ fibers) — the arXiv paper (quant-ph/0108137v1) explicitly constructs entangled-state geometry via S⁷ → S⁴, where the S³ fiber encodes relative phase and the S⁴ base encodes the joint probability amplitudes. Key invariants: Hopf invariant H = 1 for the S³→S² map (linking number of any two fibers = 1); for S⁷→S⁴, the Hopf invariant is also 1 (the only higher-dimensional Hopf maps with fiber S³, S⁷, S¹⁵ exist in dimensions 2, 4, 8 — tied to normed division algebras ℝ, ℂ, ℍ, 𝕆). | CONNECTION: The Hopf fibration's base S² is the Riemann sphere Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com