DOI: 10.5281/zenodo.17642462
title: Unified Recursion Theory (URT) — Validation Datasets (Quantum, Thermal, Biological, Relativistic)

description: This archive contains the complete dataset package used to validate the Unified Recursion Theory (URT) across four empirical domains: quantum systems, thermal systems, biological information processes, and relativistic information flow. All data, metadata, processed outputs, and integrity-verification files required to fully reproduce the results reported in the URT v5.6 manuscript are included.

The repository is structured to ensure domain-invariant reproducibility and transparent verification of the URT informational proportionality relation:

ΔE=λ kBTΔH\Delta E = \lambda\, k_B T \Delta HΔE=λkBTΔH

This dataset collection includes:

1. Quantum Validation

(a) IBM Fez & Marrakesh Backends (2025)

Eight entropy–energy scans from IBM Quantum devices using the revised Phase-2 header structure.Includes raw CSV files, per-row and per-scan λ values, and summary outputs.

(b) Harvard Optical-Lattice Gauge-Invariance Dataset

Reconstructed traces (57 Hz, 89 Hz, DMRG, QLM) from Harvard Dataverse (DOI: 10.7910/DVN/3RXD).Used to verify Liouvillian continuity and stationary entropy flow.

2. Thermal Validation

Shomate-parameter thermochemical tables for:





H₂O (steam phase)




CO₂




Ar



Extracted from NIST JANAF Thermochemical Tables.Processed prediction tables and thermal λ summaries included.

3. Biological Validation

(a) Differential Scanning Calorimetry (DSC) Unfolding

Lysozyme and β-lactoglobulin enthalpy/free-energy transitions from Seelig & Seelig (IJMS, 2023).Confirms URT reversible boundary (λ → 0).

(b) RNA Nearest-Neighbor Thermodynamics

Watson–Crick ΔG°₃₇ and ΔH° tables from the Turner04 NNDB dataset.Used to compute λ stability across RNA helix stacking motifs.

(c) Viral Evolution Population-Entropy Dataset

SARS-CoV-2 long-term passaging dataset (Foster et al., 2025; BioProject PRJNA1018257).Includes variant-frequency tables, SRA metadata, supplementary materials, entropy trajectories, retention indices, and fitted recursion parameters.

4. Relativistic Validation

(a) Optical-Clock Gravitational Redshift (Zheng et al., Nature Communications, 2023)

Height–dependent frequency-shift data from Zenodo supplementary materials.Includes raw CSVs for probabilities, corrections, redshift gradients, and clock baselines, along with processed URT regression outputs.

(b) Landauer Limit – Information Erasure (Nature 2012)

Digitized P(Q), Q(τ), and success-probability curves from Bérut et al. (Nature 483).Includes λ(τ) convergence analysis showing approach to the reversible limit λ → 1.

Included for Every Validation Domain





raw/ — unmodified files from original publications and repositories




processed/ — URT-derived tables, λ estimates, regression outputs




analysis/ — report.json (methods, settings, equations), SHA256SUMS files




metadata.json — provenance, dataset descriptions, integrity notes



All raw files include SHA-256 fingerprints for independent verification.

The directory structure is:







 



datasets/
  quantum/
    fez-marrakesh/
    harvard-optical-lattice/
  thermal/
  biology/
    dsc_unfolding/
    molecular_energetics/
    population_entropy/
  relativistic/
    gravitational_redshift/
    landauer_2012/



Reproducibility

All computations follow the URT v4.5 reproducibility protocol, with:





standardized entropy estimation




energy-normalization procedures




weighted least-squares regression (HC3 robust covariance)




uncertainty propagation as defined in Appendix E of the URT manuscript




cross-domain invariance checks for λ



These datasets support full reproduction of all empirical validations reported in the URT v5.6 manuscript.

License

CC-BY 4.0All raw scientific data remain under their original publication licenses; processed URT outputs are released under CC-BY for research and verification purposes.