Quantum Spectrodynamics (QSD)

A framework for deriving physical dynamics from eigenvalue spectra of quantum error correction codes.

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).

The $[[5,1,3]]_2$ code determines two graphs — the complete graph $K_4$ (bulk exchange) and the 5-cycle $C_5$ (geometric clock) — and each fundamental constant is owned by one substructure, or by their union:

where $\varphi = (1+\sqrt5)/2$ is the golden ratio. The strain is the only member that irreducibly mixes both subgraphs — it is the frustration of the two geometries trying to be regular simultaneously, and it is the small parameter through which the code's mismatch leaks into every observable. A signature exact identity: in the product $\varsigma\varpi = 3\pi/80$ the golden ratio cancels — this is the strong coupling.

The famous factor 4 in the Bekenstein–Hawking entropy $S = A/(4\ell_P^2)$ is, in this framework, a consequence of $\mathrm{Hb}_4$'s face count — not an input to it.

Zero free parameters beyond the Planck mass (the sole dimensionful input). The snap energy $E_{\mathrm{syn}} = 28.24$ GeV is a novel falsifiable prediction, coinciding with the dimuon excess reported by CMS at $\sqrt{s} \approx 28.3$ GeV.

The QSD record grows by parts: each release adds a self-contained paper with its supplements and never rewrites published sources (corrections ship as errata).

manuscripts/derivations/ collects complete step-by-step derivation walkthroughs as they pass review — these are release-independent and appear incrementally.

Every major claim in the Phase 2 papers carries exactly one tag: [R] rigorous (derived from L0 + established mathematics) · [C+] well-supported conjecture (its external premise is named) · [T] thermodynamic principle (Landauer/Second Law — empirical, not axiomatic) · [EXP] exploratory · [O] open question. The v1.0 papers used the coarser Derived/Constructed/Open scheme; the mapping is one-to-one on shared claims.

quantum_spectrodynamics/
├── README.md                             This file
├── CITATION.cff                          Machine-readable citation metadata
├── zenodo_meta.md                        Zenodo record description (modular)
├── environment.yml                       Conda environment for all code
├── Makefile                              Build PDFs + release bundles
├── LICENSE                               CC BY 4.0
│
├── manuscripts/                          LaTeX sources
│   ├── quantum_spectrodynamics.tex       Main preprint (v1.0)
│   ├── qsd2_p1_code_selection.tex        Phase 2 Paper 1 (v2.0)
│   ├── supplements/                      S1–S9 + TN-1
│   │   ├── qsd_s1_formal_proofs.tex          S1: Formal proofs
│   │   ├── qsd_s2_energy_scale.tex           S2: Energy scale and dressing
│   │   ├── qsd_s3_lagrangian.tex             S3: The QSD Lagrangian
│   │   ├── qsd_s4_renormalization.tex        S4: Topological renormalization
│   │   ├── qsd_s5_syndrome_prediction.tex    S5: The 28 GeV prediction & proton stability
│   │   ├── qsd_s6_string_correspondence.tex  S6: String correspondence
│   │   ├── qsd_s7_cosmological_constant.tex  S7: Cosmological constant
│   │   ├── qsd2_s8_crossing_ctc.tex          S8: Crossing errors & Deutsch CTCs (v2.0)
│   │   ├── qsd2_s9_observer.tex              S9: The observer (v2.0)
│   │   └── qsd_tn1_hb_redefinition.tex       TN-1: Hb notation (read with the errata)
│   └── derivations/                      Reviewed derivation walkthroughs (incremental)
│
├── preamble/                             Shared LaTeX preambles
│   ├── qsd_preamble.sty                  Unified preamble (Phase 2 documents)
│   └── qsd_preamble.tex                  Legacy v1 preamble (reference)
├── references/
│   └── qsd_references.bib                Unified bibliography (all documents)
├── errata/
│   └── qsd_v1_errata.tex                 v1.0 errata & Phase-2 concordance
│
├── pdf/                                  Pre-compiled PDFs (for immediate reading)
├── code/                                 Python computation & validation suite
│   └── qsd_constants.py                  Single source of truth — reproduces
│                                         every numerical prediction
└── visualizations/                       Interactive 3D visualization (Three.js)

All documents carry explicit relative paths to preamble/ and references/, so plain pdflatex works from every source directory.

Start with the two entry manuscripts in pdf/: quantum_spectrodynamics.pdf (the framework and the Standard Model sector) and qsd2_p1_code_selection.pdf (why $[[5,1,3]]$ and nothing else). Then follow the supplements as the text cites them.

conda env create -f environment.yml && conda activate qsd
cd code
python qsd_constants.py          # reproduces every prediction, runs self-checks
python qsd_simulation_suite.py   # full numerical validation
python qsd_qiskit_suite.py       # [[5,1,3]] circuits (requires Qiskit)

make all          # compile every document into pdf/
make main p1      # just the two entry manuscripts
make supplements  # S1–S9 + TN-1
make errata       # the v1 errata
make release      # dist/: loose entry PDFs + supplements+errata zip + full-repo zip

@misc{Hubka2026QSD,
  author = {Hubka, Marek},
  title  = {Quantum Spectrodynamics},
  year   = {2026},
  howpublished = {Zenodo},
  doi    = {10.5281/zenodo.19162378},
  note   = {DOI:10.5281/zenodo.19162378}
}

See CITATION.cff for machine-readable metadata.

Text and figures: CC BY 4.0. You are free to share and adapt this material for any purpose with attribution.

Marek Hubka — Independent Researcher, Czech Republic

Quantum Spectrodynamics v2.0.0 — July 2026