DLSFH Continuum Limit Archive

Reference Simulations, Parameters, and Convergence Proof Artifacts

Supporting WP1 of the Unified Pre-Physical Framework

Maintained by: The Kapodistrian Academy of Science
Author: Antonios Valamontes

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📌 Purpose of This Repository

This repository provides the archival simulation data, parameters,
numerical operators, and convergence logs necessary to reproduce
the continuum-limit results for the Dodecahedron Linear String Field
Hypothesis (DLSFH), as developed in:

Appendix A — Discrete–to–Continuum Limits for the DLSFH Lattice

This archive is meant to remain functional for:

• physicists,
• mathematicians,
• numerical analysts,
• historians of science,

even 100 years from now, without requiring any explanations
from the original author.

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📁 Repository Structure

See the “Repository Tree” section in the top-level documentation.

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🔬 What This Repository Contains

1. Standardized Input Parameters

Stored in config/:

• lattice_parameters.yaml: combinatorics, weights, scaling laws.
• sgcv_parameters.yaml: condensate amplitudes, potential coefficients.
• mc_parameters.yaml: coherence-length and kernel definitions.

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2. Reference Meshes (data/reference_meshes/)

These encode the DLSFH geometries for:

• ε = 0.50
• ε = 0.25
• ε = 0.125

Each file contains:

• vertex positions
• adjacency lists
• edge weights
• symmetry metadata (A5)

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3. Propagator Data (data/propagators/)

Reference propagators:

• discrete: G_epsilon_*.h5
• continuum benchmark: G_continuum_reference.h5

Used for validating:

• Proposition A.2 (strong resolvent convergence)
• Corollary A.3 (propagator limit)

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4. Convergence Logs

Stored exactly as produced by numerical experiments:

• Laplacian convergence
• Resolvent convergence
• Propagator convergence

These logs prove:

• rate = O(ε¹) for Laplacian
• resolvent convergence
• path-sum convergence

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5. SGCV / MC Sample Data

Field samples used to compute:

• vacuum-induced curvature terms
• coherence kernels with finite coherence length

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6. Python Source Code (src/)

Includes:

• DLSFH geometry generator
• Discrete Laplacian
• SGCV and MC field couplings
• Continuum operator
• Convergence tools
• Propagator solvers

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7. Jupyter Notebooks (examples/)

Demonstrate:

• how to load meshes
• how to compute discrete operators
• how to compare discrete and continuum propagators
• how SGCV & MC modify continuum operators

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8. Unit Tests (tests/)

Validating:

• Proposition A.1
• Proposition A.2
• Corollary A.3
• SGCV / MC coupling convergence

These tests guarantee mathematical reproducibility.

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🔧 Reproducibility Requirements

All code is:

• Python 3.10+
• Uses only open-source dependencies
• Compatible with future interpreters
• No GPU dependencies

Full environment specification stored in: