Year: 2026
Type: preprint
Abstract: Positive quantum response metrics seem incompatible with the indefinite scalar direction of covariant spin-2 actions. We establish a transferable design rule that removes this obstacle before a continuum limit is taken. A positive full-rank quantum chart is equipped with an exact relational complex; its response is reduced to a two-dimensional cohomology; and the complete finite spectral kernel is tested before any derivative expansion. We prove that positive and covariant representatives then differ only by a quadratic form in the imposed constraint, and that Gaussian quantum feedback preserves the quotient, masslessness and physical spectral measure. The theorem holds for arbitrary finite exact complexes of the stated form and passes 3,000 randomized tests with chart condition numbers up to 10 10 . An eight-route, four-port unitary network supplies an explicit realization with a positive six-coordinate Gram chart, two tensor modes and a Stieltjes-positive response. We give a five-qubit closed-time-path protocol requiring 57 native entanglers on an all-to-all architecture, with quantitative gates for helicity degeneracy, subthreshold noise, residue positivity and root--threshold interlacing. The protocol tests relational protection directly, without requiring a gravitational interpretation.
Source: Research Square
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204013117