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In the Spin⁺(1,3)(7) theory constructed here, none of gravity, gauge fields or matter is introduced separately: all three arise from one common source structure, and classical variation and quantum response are related by an exact identity whose coefficient is computed from the original action rather than fitted. A common action with an independent matter dual admits an explicit nine-field solution satisfying every Euler–Lagrange equation. For this solution's matter field ψ, independent linear dual χ and every complex-linear operator A on the 252-dimensional matter space, χ(Aψ)=4k v,R(A)v. Here v is a normalized eight-dimensional state, $R(A)$ is determined by the original action and dual, and k=√2. The identity recovers, term by term, the gauge current and the sixteen kinetic loads; standard eight-mode fermionic Fock lifting preserves its one-particle matrix elements. The same original action carries quantization all the way through. The complete 252-dimensional matter and its independent dual form a 504-mode CAR which, together with the scalar CCR, carries the common Hamiltonian H=H₀+Y; its action core is recovered exactly from the original action, and its coupling is a configuration function generated by the original scalar Gram rather than a supplied constant. The original four time constraints generate the quantum clock order by order, and the whole energy tail generates one fixed self-adjoint remainder R, whose closed-factor form plus R reads back the complete Weyl energy exactly; for every precision, one source point carries all preparation fields at once—physical unit, near spectrum, Yukawa charge and eight external legs among them—and the near-spectral and full-Yukawa cutoff residuals tend to zero together as the precision is refined. Along the full field curve of a genuinely varying measure, the prepared responses and curvature readings, with their first and second derivatives, commute with the limit from cutoff to uncut. The gauge current above thereby becomes a charge–current Ward identity on the complete CAR: the one-particle sector carries no quartic pair current, and the two-propagator response is read by the same prepared state. The current then returns to the field: the mother action's second variation is the same 289-dimensional Jacobi matrix the Green function uses; the real current returns through the complete positive half-axis and source-generated two-sided inverses to the 289 field directions, with spectrum on the imaginary axis; in the static limit the uncleared field leaves a pole residue determined by constraint source number 114, and the field equation holds if and only if the nine null-direction cosources vanish. The common-source result reaches beyond the physical world of this paper. On the original admission interface, every admitted world state over any relation network, vocabulary and authority root, every complete inquiry and every complete evolving process is formed from the same source's finite-program image via pointwise completion, with full recovery of its states, inquiry and action rules, and histories at every finite depth; an inquiry is a registered readout question about a state, answered in the original physical process by the field readings. That source is the original occurrence source of the physical construction, whose occurrence history is generated by the raw event structure; any authority root proposed as another source falls under the same quantifier and is itself formed by it. Every formed world also satisfies total reality: the difference between any two distinct visits is located at their registered occurrences, so no real difference is left internally unlocated — there is no magic. The theorem directly preserves the original physical process's field readings and actual evolution. The action also yields exact signed auxiliary elimination and nonzero gravitational feedback. On fixed coframe and Cartan-spin backgrounds, every real impulse generates a unique all-real-time coupled orbit whose Legendre energy is recovered from quantum time derivatives. Coherence and Bell probabilities give analytic predictions, among them a 32-cell prediction reaching 2√2 constructed by the same source with no empirical input. The empirical verdicts are separated by object: the frozen ideal joint model is rejected by superconducting-circuit Bell data; the named nominal model of NIST 2015 still deviates from the five documented settings after the efficiency-unit correction, while the complete optical source domain generated from the public counts is nonempty under the joint 95% contract with every accepted source's CH strictly positive; for the Munich atomic experiment, the complete readout domain is compatible over all 20,403 prefixes, the ideal readout surface is rejected, and within the regular range all readout parameters of the same probability law are exactly one family of reciprocal scales — the hardware inverse requires independently prepared probe inputs.
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Jian Gao (2026) studied this question.
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