Common Physical Sources for a Constraint-Derived Standard Model

Physical Higgs Responses, Composite Boundaries, and Quantum–Einstein Action This paper develops the common physical-source layer of the constraint-derived Standard Model programme. It constructs a source-relative physical realization in which the quantum, gauge, matter, Higgs, color, composite, and Einstein descriptions are joined through one retained premetric source architecture rather than combined as independently occupied sectors. The central requirement is source identity. The physical comparison preserves the same fields, state data, source operations, continuations, joint parameter point, interaction prescription, and boundary authorities across the realizations being compared. This allows physical responses to be identified without erasing the distinctions between structural carrier identity, represented state, observable insertion, asymptotic channel, composite boundary, and metric response. The direct physical construction begins with the occupied interacting Standard Model source. The invariant Higgs mass insertion yields a represented derivative current and scalar descendant on the same physical field domain and positive Hilbert space. A nonzero physical Higgs channel produces a nonzero descendant preparation, and bounded spectral inversion places a nonzero component in an independently generated positive-invariant-mass current boundary. The continued Higgs response retains: the original field and source normalization; the complete interaction prescription; weak and Higgs terms; flavor-changing and fixed-sibling contacts; Euler and anomaly insertions; nonlinear-path and renormalization contacts; the full continued germ, including regular terms. The paper establishes a directly detectable metric response from the same physical preparation. The mass-curvature protocol recovers the full scalar response, including its exact contact subtraction. A normalized local preparation has finite positive excitation energy, smooth stress, and a nonzero local curvature-contact response. The construction therefore supplies an actual physical source for Einstein response rather than inserting an independently fitted stress tensor. The source-dependent closed-time-path action is constructed before selecting a stationary member. It supplies the causal stress response, metric and source contacts, and diffeomorphism Ward identity. Coupling this action to the inherited minimal Einstein law yields a nonlinear Einstein equation at the original perturbative or retained-order quantum-action authority, together with an occupied stationary member. General prepared states are not assumed to be stationary with respect to the same flat metric. The color sector is treated through the complete independently formed source inputs and their licensed operations. Physical readers, exact domains, compatible continuation families, mixed Higgs responses, source-qualified phase data, and heavy-hadron or composite-persistence constructions are retained. Neutral physical output maps factor through the invariant part of the complete joint input, while isolated nontrivial-color ports to the relevant neutral interface are excluded on the stated source domain. The paper reconstructs physical composite boundaries without conflating them with resonance poles or asymptotic states. Each persistence process retains its preparation, source contacts, terminal reader, continuation history, failure values, and physical authority. The resulting comparison preserves the complete original operation graph rather than reducing the physical source to a selected list of successful outputs. Complementary constructions provide: an interacting gauge–Higgs–fermion Hamiltonian; nonempty physical domains and faithful gauge quotients; positive asymptotic states on their declared source; dressed physical fields and interaction-retaining observations; bounded and unbounded operator-domain control; invariant composite and current responses; a source-attached nonlinear Einstein family; causal metric response and differentiable continuation; occupied resonance channels with quantitative pole bounds on their own domains. These complementary constructions are related to the direct physical realization by explicit source comparisons. They are not identified merely because they share a common interaction grammar. Each retains its own state, domain, asymptotic, spectral, continuation, and boundary authority. The common physical endpoint is obtained when the declared source-completeness conditions are satisfied. The electroweak channels, full color and composite continuation, interacting quantum source, and Einstein response then coexist at one occupied source point and one fixed joint parameter point. The complete compatible family is lifted together and admits exact readback without independently selecting a new state or parameter set for each observation. Scope and realization boundary The results are source-relative in a substantive sense: each physical conclusion retains the state, domain, phase, regularity, continuation, and boundary assumptions under which it is established. The paper does not assert unrestricted all-state scattering completeness, a universal hadronic output from every pre-boundary configuration, a nonperturbative quantum-gravity theorem, or an unqualified global physical apex. It does not identify every resonance with a Hilbert-space eigenstate, every persistence history with an asymptotic particle, or every positive source expectation with a positive state on the full observable algebra. The quantum and Einstein constructions are retained at their declared perturbative, regulated, or source-qualified authority. Stronger continuum, nonperturbative, operator, scattering, or asymptotic claims require their own source extensions and are not silently imported. Role in the AASC programme CSP-P provides the common physical-source layer connecting the constraint-derived Standard Model, the BCRS bosonic atlas, classical Einstein realization, interacting quantum source, physical Higgs response, color and composite boundaries, and coupled metric continuation. Its principal contribution is to demonstrate how quantum and gravitational physical descriptions can coexist as source-faithful projections of one upstream architecture, with physical occupancy and response established on their own domains and with no loss of source identity through comparison. Keywords AASC; constraint-derived Standard Model; common physical source; physical Higgs response; quantum–Einstein action; interacting gauge–Higgs–fermion theory; composite persistence; color-neutral boundary; source-attached stress-energy; closed-time-path action; Einstein backreaction; physical operator domains; positive asymptotic states; resonance response; source-faithful continuation