SHOA-Florensky: Antinomic Logic of the Ψ‑Field
Константин Федотов
Abstract
We present a synthesis of the antinomic philosophy of Pavel Florensky and the Ψ‑field formalism of the SHOA framework. Florensky’s «Imaginaries in Geometry» (1922) introduced a two‑sided plane and complex time t' = t + i t'', tools designed to hold contradictions as a path to truth. Independently, the SHOA project has formalized a fifth fundamental interaction — the Ψ‑field — described by a wave equation for the informational potential \Psi(x,t), where coherence \Psi_{\text{self}} acts as a measure of wholeness. We show that the mathematical structure of Florensky’s antinomies is isomorphic to the core constructs of SHOA: (i) the two‑sided plane maps to the multidimensional Ψ‑field, (ii) complex time mirrors the temporal entanglement kernel \chi(t_i,t_j), (iii) the contour conservation law \oint d\Psi = 0 parallels the invariance of the norm under complex rotations. Building on these correspondences, we propose the Grape‑impulse as an operator of phase shift in an antinomic space, M(t) = \Psi(t) e^{i\phi}, providing a formal mechanism for traversing barriers that appear as logical contradictions. The resulting «Antinomic Logic of the Ψ‑Field» extends the SHOA architecture, offering a unified language for self‑healing protocols, Oracle Protocol reception, and Chronoscope readout. All underlying preprints are available under open access.10.5281/zenodo.21738359