Dual Boundary Condition Inference: A Time-Symmetric Basis for Physics, Gravity, and Quantum Error Correction

This record presents Dual-Boundary Condition Inference (DBCI), a time-symmetric framework that minimizes total coherence loss (ΔH_total) across dual temporal boundaries. DBCI generalizes the Aharonov–Bergmann–Lebowitz rule to arbitrary dynamical systems, establishing a universal informational principle applicable across quantum, digital, and biological domains. Proofs of principle confirm DBCI’s universality across three regimes: Quantum: IBM superconducting processors show entropy saturation at ΔH ≈ ln 2 bits across 9–100 qubits, defining three operational regimes (amplification, bistability, saturation). Digital: Transformer attention matrices achieve machine-precision antisymmetry (~10⁻¹⁶) and entropy reduction (ΔH ≈ 0.23 bits) across model scales. Biological: Cell-coherence analysis (N = 4,969) reveals universal organization (ρ = −0.676, p < 10⁻⁵⁰⁰) spanning eight orders of magnitude. For quantum error correction, DBCI predicts that substrate-dependent fault-tolerance thresholds depend on boundary-condition alignment rather than absolute noise rates, enabling rational hardware-substrate selection among superconducting, trapped-ion, and topological platforms. Theoretical predictions obtained without fitting: Higgs self-coupling λ_H = 0.1355 ± 0.0044 reproduces m_H = 125.1 GeV within 0.5 %. Electroweak unification accuracy > 99.9 %. Cosmological constant tuning yields w → −1 from first principles. DBCI’s equivalence to a variational field-theoretic action establishes it as a fundamental physical principle. All results are fully reproducible — see GitHub and Zenodo archives for code and data. Related preprints: “You Need More Than Attention: Dual Boundary Condition Inference and Machine-Precision Explainability in AI,” “Dimensional Convergence as a Universal Coherence Metric: From Quantum Physics to Cancer Field Organization,” “DBCI on IBM Quantum: Real-Hardware Observation of Dimensional-Convergence Saturation Across Devices,” and "Completing Newton’s Project: From Least Action to Time Symmetric Ontology and the Origins of Force." (Zenodo records prepared; DOIs forthcoming).