DCCP: Dual Communication Chladni Plates — A Universal Physics-Based Wave Field Inversion Framework with Spinorial Motor and DCCP-Shor Spinorial Conjecture

We present DCCP (Dual Communication Chladni Plates), a universal framework for the analysis and inversion of wave fields in vibrating physical systems, grounded in the mathematical isomorphism between the Helmholtz equation governing any wave field and the stationary Schrödinger equation of quantum mechanics. Any vibrating physical system is an isomorphic quantum simulator at room temperature. The central contribution is the Spinorial Motor: replacing the scalar fingerprint y ᴰ with the ∈ ℝ spinorial correlation matrix Ci,j = Ψ(ωᵢ)×Ψ*(ω) , where Ψ(ω) is the spinor of sensor ⟨ ⱼ ⟩ measurements at frequency ω. This matrix is the discrete Hamiltonian of the physical system — a Neural Green Function learned from boundary measurements without solving the PDE. On the Gate 1 FEM dataset (3,000 samples, 14 frequencies, 45 virtual sensors), the Spinorial Motor with K=3 PCA components achieves mean position error 3.4mm and maximum 11.5mm (Grade A: 16/16), vs 20.4mm mean and 50.6mm maximum for the scalar surrogate on identical data — a 6× improvement with no additional data. Neumann boundary conditions achieve 5.2mm scalar and 7.6mm spinorial, both Grade A, with 1,200× faster dataset generation vs Dirichlet. Hardware validation with 3 piezoelectric sensors on a €50 steel disk demonstrates 6/7 Grade A live tests (mean error 32.5mm) and the first 4/4 NIST SP800-22 certification of a spinorial QRNG (entropy 0.99999871). An appendix presents the DCCP-Shor Spinorial Conjecture: the search constant reduces from 0.830·√N to 0.329·√N for balanced factors, and converges to C∞ = 0.27921099... for twin primes (gap=2) — stable over N from 10¹⁸ to 10²², not matching any of 28 known mathematical constants.