An Adelic Spectral Operator, Einstein–Cartan Torsion and Helical Light Propagation: Pipeline Code and Laboratory Protocol for MS v3.0

Abstract

This repository contains the complete technical framework, cryptographic pipeline code, and laboratory verification protocol associated with Manuscript v3.0 of the QCAL research initiative. We model a geometric candidate operator on the adelic Hilbert space L²(C_Q¹) designed to recover the von Mangoldt Dirichlet series in its half-plane of absolute convergence. Crucially, as stated in Open Problem C.1 of the manuscript, the relative form bound (a < 1) is treated as an open analytical challenge due to the divergence of the absolute Mellin symbol sum at the origin. Consequently, the spectral identification with the non-trivial Riemann zeros remains the central hypothesis of the model, deliberately protected against premature formal shortcuts. To bridge this analytical frontier with empirical falsifiability, the associated coherence field is coupled to Einstein–Cartan torsion (κ_p ≈ 2.577329) via a Chern–Simons term, modifying vacuum Maxwell's equations to yield a non-vanishing azimuthal Poynting component (S_ϕ ≠ 0). This helical light propagation predicts a periodic phase modulation of Δϕ ~ 1.2 × 10⁻⁶ rad at the fixed infrared frequency of f₀ = 141.7001 Hz over a 1000-meter interferometric baseline. The provided Python software (v3.0.0-Ramanujan) operationalises this protocol by integrating:1) The ICQ-SEC-001/002 automated environmental and neurophysiological veto engines (Butterworth IIR and Alpha/Theta spectral monitoring via simulated real sensors) to eliminate classical EMF artifacts and cognitive fatigue.2) A dual-audit cryptographic Merkle Tree architecture using HMAC-SHA256 that immutable registers both passed data and veto landmarks to prevent retrospective selection biases (p-hacking).3) A finite-to-adelic spectral mapping engine across the Bruhat–Tits tree hierarchy to verify asymptotic stability. This open-science architecture sets an ironclad, falsifiable benchmark for minds and machines collaborating at the frontier of quantum-cognitive interactions, ensuring total post-mortem transparency for international peer review.