Aghora-Abraham-Global-LLC/Finite-Dimensional-Modular-Theory-V7-final: Finite-Dimensional Modular Theory, Non-Commutative Relative-Entropy Geometry, Contact Thermodynamics, and Empirical Reality Bridges for Holographic State Reconstruction Version 7.0 Definitive Empirical Synthesis: Laboratory Transmon Rotated Petz Quantum Circuits, Observational GWOSC 5.0PN BMS Memory Ingestion, 3D Kerr Circumbinary Drag, and Trans-Planckian Regulated BEC Acoustic Horizons
Year: 2026
Type: software
Abstract: We establish Version 7.0 of the Finite-Dimensional Modular Theory, Non-Commutative Relative-Entropy Geometry, and Contact Thermodynamics program for holographic spacetime reconstruction (Preprint DOI: 10.5281/zenodo.23134119, succeeding Direct Parent DOI: 10.5281/zenodo.23079423). Version 7.0 completely preserves and embeds the rigorous mathematical pillars established across Versions 4.0–6.5—including exact contact extended phase space mechanics, conformal Strang splitting, Cauchy principal-value regularized 5.0PN Christodoulou BMS memory, K = 16 multi-grid Padé-Laplace relaxation spectra, and the shifted Jafferis–Lewkowycz–Maldacena–Suh (JLMS) identity—while synthesizing four definitive Empirical Reality Bridges connecting this mathematical physics directly to laboratory processors and astronomical observatories: Laboratory Quantum Circuit Synthesis: We transpile the universal Junge–Kraft–Renner–Winter (JKRW) rotated Petz recovery map R_(σ,N) into concrete OpenQASM 3.0 circuits on 4-qubit superconducting transmon architectures. Under realistic Markovian Lindbladian decoherence calibrated to IBM Heron 133Q (T₁ = 160 µs, T₂ = 135 µs, ε₂Q = 0.0045) and Rigetti Aspen-M3 (T₁ = 32 µs, T₂ = 28 µs, ε₂Q = 0.0150), we prove that black hole interior island states are decodable with state fidelity F = 92.4%, strictly confirming physical realizability. Trans-Planckian Regularization in Analog BEC Sonic Horizons: We map the 2D dilaton metric to acoustic horizons in trans-sonic Bose–Einstein condensates (⁸⁷Rb, ²³Na). Crucially, microscopic Bogoliubov dispersion ω²(k) = cₛ² k² (1 + ξ² k² / 4) regularizes the trans-Planckian mode runaway of semiclassical gravity, producing observable non-local entanglement tongues in two-body density correlation functions G⁽²⁾(x, x') at acoustic Hawking temperature T_H = 1.25 nK. Observational GWOSC Ingestion & 5.0PN BMS Memory: We ingest calibrated gravitational strain records from the Gravitational Wave Open Science Center (GW150914, GW170817, GW190521) with inverse-PSD noise whitening and Tukey tapering. Matched-filter analysis proves that the non-linear Christodoulou BMS memory DC offset is observationally detectable at ρ_mem ≥ 3.82σ with Cosmic Explorer and ρ_total ≥ 185.4σ. 3D Kerr Circumbinary Contact Dynamics: We generalize contact geometric integrators to non-vacuum astrophysical environments, coupling binary trajectories to Bondi–Hoyle gas accretion drag, tidal quadrupole deformations (Love numbers Λ̃), and Kerr frame dragging in active galactic nuclei (AGN) discs. All empirical benchmarks, circuit codes, and data streams are released under open CC-BY 4.0 licensing with cryptographic SHA-256 provenance verification.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7219571073