Deriving Standard Model Parameters from the Geometry of Quantum Error-Correcting Codes
Quantum Spectrodynamics (QSD) is a theoretical framework that derives fundamental
physics constants — gauge couplings, particle masses, and the cosmological constant —
from the algebraic geometry of the
The framework requires zero free parameters beyond the Planck mass (CODATA 2018). All predictions emerge from three constants (the QSD triad) that arise naturally from the code's topology:
| Constant | Symbol | Expression | Value |
|---|---|---|---|
| Holographic bit density | 0.36067 | ||
| Geometric strain | 0.01432 | ||
| Spectral bond | 8.22480 |
where
| Symbol | Observable | QSD Prediction | Experimental Value | Source | Agreement |
|---|---|---|---|---|---|
| Fine structure constant | 137.0330 | 137.0360 | CODATA 2018 | 22 ppm | |
| Strong coupling at |
0.11781 | 0.1180 | PDG 2022 | 0.16% | |
| Weak mixing angle | 0.23122 | 0.23122 | PDG 2022 | 0.004% | |
| Higgs boson mass | 126.7 GeV | 125.25 GeV | PDG 2022 | 1.2% | |
| W boson mass | 81.1 GeV | 80.377 GeV | PDG 2022 | 0.9% | |
| Cosmological constant | −121.28 | −121.27 | Planck 2018 | 0.008% |
The syndrome energy
quantum-spectrodynamics/
├── LICENSE CC BY 4.0
├── README.md This file
├── CITATION.cff Machine-readable citation metadata
├── RELEASE_NOTES.md Zenodo release notes for v1.0
├── environment.yml Conda environment for running all code
├── Makefile Build PDFs from LaTeX sources
├── .gitignore
│
├── tex/ LaTeX source files
│ ├── README.md
│ ├── quantum_spectrodynamics.tex Main paper
│ ├── qsd_s1_formal_proofs.tex S1: Formal proofs
│ ├── qsd_s2_energy_scale.tex S2: Energy scale and dressing
│ ├── qsd_s3_lagrangian.tex S3: QSD Lagrangian derivation
│ ├── qsd_s4_renormalization.tex S4: Topological renormalization
│ ├── qsd_s5_syndrome_prediction.tex S5: Syndrome prediction & proton stability
│ ├── qsd_s6_string_correspondence.tex S6: String theory correspondence
│ ├── qsd_s7_cosmological_constant.tex S7: Cosmological constant (speculative extension)
│ ├── qsd_tn1_hb_redefinition.tex TN-1: Hb redefinition note
│ ├── qsd_references.bib Shared bibliography (175+ references)
│ └── qsd_preamble.tex Unified notation definitions
│
├── pdf/ Pre-compiled PDFs (for immediate reading)
│ └── README.md
│
├── code/ Python simulation & computation suite
│ ├── README.md
│ ├── __init__.py
│ ├── qsd_constants.py Single source of truth for all QSD constants
│ ├── qsd_simulation_suite.py Numerical simulations (no Qiskit needed)
│ ├── qsd_monte_carlo.py Monte Carlo validation of error bounds
│ ├── qsd_animations.py Animated GIF visualizations
│ ├── qsd_visualizations.py Static publication-quality figures
│ ├── qsd_syndrome_production.py Syndrome energy production analysis
│ ├── qsd_qiskit_suite.py Quantum circuit simulations (Qiskit)
│ └── qsd_qiskit_additions.py Extended quantum experiments
│
└── visualizations/ Interactive 3D visualizations (Three.js)
├── README.md
├── qsd_4simplex.html 4-Simplex geometry explorer
├── qsd_4simplex_network.html Tensor network of 4 code blocks
└── qsd_4simplex_snap_mechanism.html Snap mechanism animation
Pre-compiled PDFs are in pdf/. Start with the main preprint, then
consult supplements S1–S7 for detailed derivations.
# Clone the repository
git clone https://github.com/[username]/quantum-spectrodynamics.git
cd quantum-spectrodynamics
# Create the conda environment
conda env create -f environment.yml
conda activate qsd
# Run the master constants module (prints all predictions)
cd code
python qsd_constants.py
# Generate publication figures
python qsd_visualizations.py
# Run Monte Carlo validation
python qsd_monte_carlo.py
# Run quantum circuit simulations (requires Qiskit)
python qsd_qiskit_suite.pyOpen any .html file in visualizations/ directly in a web browser —
no server required. These are self-contained Three.js applications.
# Build all PDFs (requires TeX Live or similar distribution)
make all
# Build a single document
cd tex
pdflatex qsd_main_preprint.tex
bibtex qsd_main_preprint
pdflatex qsd_main_preprint.tex
pdflatex qsd_main_preprint.texQSD begins from a single structural postulate: the physical vacuum encodes
information through the
-
Code geometry → Triad constants
$(Hb_4,,\varsigma,,\varpi($ emerge from the$[[5,1,3]]$ code's topological invariants. -
Triad → Gauge couplings via 3-loop topological renormalization on the
$K_4–C_5$ graph structure. -
Triad → Energy scale through the
$2^{60}$ information compression factor from Planck to electroweak scale. - Triad → Mass spectrum from syndrome extraction eigenvalues of the code.
-
Triad → Cosmological constant via the entropy barrier
$4/\varsigma \approx 279.3$ nats (speculative).
Each step is derived algebraically with no fitted parameters. All derivations are documented across the main preprint and supplements S1–S7.
All Python modules share a single source of truth:
qsd_constants.py ← Every other module imports from here
├── qsd_simulation_suite.py (NumPy/SciPy only)
├── qsd_monte_carlo.py (NumPy/SciPy + statistics)
├── qsd_animations.py (+ matplotlib animations)
├── qsd_visualizations.py (+ matplotlib static plots)
├── qsd_syndrome_production.py (+ matplotlib + scipy.integrate)
└── qsd_qiskit_suite.py (+ Qiskit)
└── qsd_qiskit_additions.py (+ extended experiments)
The core modules (qsd_constants.py, qsd_simulation_suite.py,
qsd_monte_carlo.py) require only NumPy and SciPy. Qiskit is needed only
for the quantum circuit simulations in qsd_qiskit_suite.py and
qsd_qiskit_additions.py.
See environment.yml for the full conda specification.
Core (required for all modules):
- Python ≥ 3.10
- NumPy ≥ 1.24
- SciPy ≥ 1.10
Visualization (for figures and animations):
- Matplotlib ≥ 3.7
Quantum circuits (optional — for Qiskit simulations):
- Qiskit ≥ 1.0
- Qiskit-Aer ≥ 0.13
LaTeX compilation (optional — pre-compiled PDFs included):
- TeX Live 2023+ or equivalent
- Packages: amsmath, physics, tikz, hyperref, booktabs
If you use this work, please cite:
@misc{hubka2026qsd,
author = {Hubka, Marek},
title = {Quantum Spectrodynamics: Deriving Standard Model Parameters
from the Geometry of Quantum Error-Correcting Codes},
year = {2026},
doi = {10.5281/zenodo.18832273},
note = {Independent research preprint with seven supplements}
}See CITATION.cff for machine-readable metadata.
This work is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0).
You are free to share and adapt this material for any purpose, provided you give appropriate credit.
Marek Hubka Independent Researcher, Czech Republic
Quantum Spectrodynamics v1.0.0 — March 2026