Quantum Spectrodynamics (QSD)

Quantum Spectrodynamics (QSD) is a theoretical framework that derives Standard Model gauge couplings from a single structural input: the [[5,1,3]] perfect quantum error-correcting code.

The code determines two graphs - the complete graph $K_4$ (bulk exchange interactions) and the cycle graph $C_5$ (geometric dynamics) - from which three fundamental constants emerge:

$$\text{Holographic bit density:} \qquad {H\kern-0.3em b}_4 = \frac{1}{4 \ln 2}$$

$$\text{Geometric strain:} \qquad \varsigma = \frac{3}{80\varphi^2}$$

$$\text{Spectral bond:} \qquad \varpi = \pi \varphi^2$$

From these, with zero free parameters and a single experimental input (the Planck mass), QSD derives:

*CMS dimuon anomaly (CMS-PAS-HIG-20-009)

The framework makes falsifiable predictions testable at the LHC.

Repository Structure

The release contains the main preprint plus seven supplements, one technical note, computational validation code, and interactive visualizations:

Theory Documents (LaTeX)

- quantum_spectrodynamics.tex - Main paper: complete framework, predictions, and falsification criteria
- qsd_s1_formal_proofs_v2.tex - Supplement S1: Formal proofs of all algebraic results ($K_4$ spectrum, $S_4$ representation theory, $C_5$ Laplacian, master theorems)
- qsd_s2_energy_scale.tex - Supplement S2: Energy scale derivation and dressing corrections
- qsd_s3_lagrangian.tex - Supplement S3: The QSD Lagrangian (field-theoretic formulation)
- qsd_s4_renormalization_v2.tex - Supplement S4: Topological renormalization (terminating perturbation series, $\alpha^{-1} = 137.033$ derivation)
- qsd_s5_syndrome_prediction.tex - Supplement S5: Syndrome prediction (28 GeV) and proton stability
- qsd_s6_string_correspondence.tex - Supplement S6: Correspondence with string theory
- qsd_s7_cosmological_constant.tex - Supplement S7: Computational thermodynamics (speculative)
- qsd_tn1_Hb_Redefinition.tex - Technical Note TN-1: Holographic bit density redefinition

Shared LaTeX Infrastructure

- qsd_preamble.tex - Unified preamble (notation, macros, theorem environments)
- qsd_references.bib - Consolidated bibliography for all documents

Computational Validation (Python)

- qsd_constants.py - Single source of truth for all QSD constants; reproduces every numerical prediction
- qsd_simulation_suite.py - Full simulation suite: algebraic verification, coupling derivations, Monte Carlo error propagation
- qsd_monte_carlo.py - Monte Carlo error propagation for all predictions
- qsd_qiskit_suite.py - Qiskit quantum circuit simulations: [[5,1,3]] stabilizers, VQE ground state, syndrome extraction
- qsd_qiskit_additions.py - Extended Qiskit circuits: additional experiments and validation
- qsd_syndrome_production.py - Syndrome production simulation (LHC phenomenology)

Visualizations

- qsd_animations.py - Animated visualizations (Matplotlib)
- qsd_visualizations.py - Static visualization module
- qsd_4simplex.html - Interactive 3D visualization: 4-simplex geometry (Three.js)
- qsd_4simplex_network.html - Interactive 3D visualization: code network structure (Three.js)
- qsd_4simplex_snap_mechanism.html - Interactive 3D visualization: snap mechanism animation (Three.js)

Epistemic Transparency

All claims are classified as Derived (mathematically proved from the [[5,1,3]] axiom), Constructed (ingredients derived, assembly physically motivated), or Open (plausible but not rigorous). This classification is maintained throughout all documents.

How to Verify

Run python qsd_constants.py to reproduce every numerical prediction from first principles. Run python qsd_simulation_suite.py for the full validation suite. Qiskit circuits require pip install qiskit.