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Dataset . 2026
License: CC BY
Data sources: Datacite
ZENODO
Dataset . 2026
License: CC BY
Data sources: Datacite
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SDGFT Oracle Database: High-Resolution Parameter-Observable Lattice for Scale-Dependent Gravitational Field Theory

Authors: Besemer, David A.;

SDGFT Oracle Database: High-Resolution Parameter-Observable Lattice for Scale-Dependent Gravitational Field Theory

Abstract

Overview This dataset provides the complete pre-computed oracle databases for the Scale-Dependent Gravitational Field Theory (SDGFT) Machine-Learning Toolkit (sdgft-ml-toolkit). The two Parquet files encode a dense, high-resolution mapping from the two free SDGFT parameters (Δ, δg) to 37 physical observables spanning cosmology, particle physics, gravitational-wave astronomy, and astrophysics. These files serve as the ground-truth reference for the GNN surrogate model, the CVAE inverter, and the experimental-validation pipeline described in the accompanying code repository. Files File Rows Columns Size Description oracle_db.parquet 1,000,000 39 ~3.2 GB Full parameter sweep (1000 × 1000 grid). Δ ∈ [0.01, 0.50], δg ∈ [0.001, 0.100]. Snappy-compressed. oracle_gold.parquet 10,000 39 ~1.9 GB Gold-standard subset: Quadruple precision (128-bit) with adaptive Gauss–Kronrod quadrature. Used for validation. Parameter Space The SDGFT is a two-parameter extension of General Relativity that promotes Newton's constant to a scale-dependent running coupling G(k). Anomalous dimension (Δ): [0.01, 0.50] — Controls the power-law running of G(k) in the deep UV. Graviton mass gap (δg): [0.001, 0.100] — Dimensionless IR deformation parameter. Controls late-universe deviations from ΛCDM. Axiom Point: (Δ* = 0.2083, δg* = 0.0417) is the unique fixed point where all 37 observables simultaneously agree with experimental data within 2σ. Observable Catalogue (37 columns) 1. Cosmological Observables (10) H0, Omega_m, Omega_Lambda, Omega_k, sigma_8, n_s, r_tensor, S_8, z_eq, t_universe 2. Particle Physics Observables (8) m_higgs, m_top, m_W, m_Z, alpha_s_MZ, sin2_theta_W, m_electron, alpha_em_MZ 3. Gravitational-Wave Observables (7) f_gw_peak, Omega_gw, h_c_nHz, dephasing_BBH, delta_v_gw, f_ring_BH, tau_ring_BH 4. Astrophysical Observables (7) M_TOV, R_14, Lambda_tidal, v_rot_flat, M_BH_shadow, Gamma_PPN, Beta_PPN 5. Quantum-Gravity Signatures (5) d_spectral, S_BH_correction, E_trans_LIV, tau_proton, G_Newton_eff Data Format & Usage Format: Apache Parquet (v2.6), Snappy compression. All values are stored as float64. import pandas as pd # Load the database df = pd.read_parquet("oracle_db.parquet") # Access axiom point axiom = df.query("abs(Delta - 0.2083) < 0.0005 and abs(delta_g - 0.0417) < 0.00005") Relation to Code Repository These data files are consumed by the sdgft-ml-toolkit Python package for GNN training and CVAE inversion. Repository: https://github.com/cosmologicmind/sdgft-ml-toolkit

Keywords

Machine Learning, gravitational field theory, quantum gravity, Particle physics, graph neural network, geometric field theory, Physical cosmology, asymptotic safety, surrogate model, parameter estimation, scale-dependent gravity, Gravitational waves, oracle database

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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