
doi: 10.5281/zenodo.19359055 , 10.5281/zenodo.19175054 , 10.5281/zenodo.19190902 , 10.5281/zenodo.19195130 , 10.5281/zenodo.19148503 , 10.5281/zenodo.19149443 , 10.5281/zenodo.19154006 , 10.5281/zenodo.19201898 , 10.5281/zenodo.19323031 , 10.5281/zenodo.19201897 , 10.5281/zenodo.19196625 , 10.5281/zenodo.19211418 , 10.5281/zenodo.19359054 , 10.5281/zenodo.19175055 , 10.5281/zenodo.19268647 , 10.5281/zenodo.19268646 , 10.5281/zenodo.19196626 , 10.5281/zenodo.19323030 , 10.5281/zenodo.19211417
doi: 10.5281/zenodo.19359055 , 10.5281/zenodo.19175054 , 10.5281/zenodo.19190902 , 10.5281/zenodo.19195130 , 10.5281/zenodo.19148503 , 10.5281/zenodo.19149443 , 10.5281/zenodo.19154006 , 10.5281/zenodo.19201898 , 10.5281/zenodo.19323031 , 10.5281/zenodo.19201897 , 10.5281/zenodo.19196625 , 10.5281/zenodo.19211418 , 10.5281/zenodo.19359054 , 10.5281/zenodo.19175055 , 10.5281/zenodo.19268647 , 10.5281/zenodo.19268646 , 10.5281/zenodo.19196626 , 10.5281/zenodo.19323030 , 10.5281/zenodo.19211417
Spacetime geometry is sourced not by raw unresolved quantum possibility, but by thresholded, ratified quantum order mediated by a bridge condensate. This record presents the current compact formulation of the MAP/RIG unified theory as a single effective variational framework linking gravitation, branch competition, ratification dynamics, and bridge-field condensation. The theory is built around one central claim: spacetime geometry is sourced not by raw unresolved quantum possibility, but by thresholded, ratified quantum order mediated by a bridge condensate. The formal structure is written as a unified action containing: - the Einstein-Hilbert gravitational sector, - the classical matter sector, - a bridge/order-parameter field `φ`, - a ratification drive `M_β`, - a branch-retention competition law `R_i`, - and a gated coupling `F(φ²)` that determines when quantum-ratified structure contributes effectively to geometry. In this framework, branch competition generates a smoothed ratification potential. That ratification potential shifts the effective bridge-field mass, `m_eff² = m² - α M_β` so that a threshold transition occurs when `α M_β = m²`. Below threshold, the system remains in an unresolved phase with `φ = 0`. Above threshold, the bridge condenses into a ratified phase with `φ² = (α M_β - m²) / λ₄`. This condensation activates the coupling gate `F(φ²)`, allowing ratified quantum order to contribute to the sourced geometric field equation. The result is a single effective scaffold in which: 1. **branch retention** determines competitive viability, 2. **competitive viability** drives ratification, 3. **ratification** changes the bridge-field mass structure, 4. **bridge condensation** activates effective quantum-geometric sourcing. The record includes: - the compact master action, - the full internal ratification structure, - the sourced geometric field equation, - the bridge-field equation, - the covariant conservation law, - and the threshold criterion separating unresolved and ratified phases. ## Scope and status This work is presented as an **effective unification scaffold**, not yet as a completed first-principles fundamental theory. Several components remain phenomenological or closure-level definitions, especially the branch-retention law `R_i`, the ambiguity barrier `Λ_ij`, the gating function `F(φ²)`, the ratification stress contribution `Θ_μν^rat`, and the coarse-grained bridge/operator identification `φ²(x) ~ _coarse`. Accordingly, the contribution of this record is not a claim of final derivation, but the stabilization of a coherent coupled action in which the full logic of the framework is written in one place and exposed for scrutiny. ## Interpretive significance The theory proposes a shift in how quantum-to-geometric sourcing is conceptualized. Instead of assuming that all unresolved quantum possibility gravitates equally at the effective level, MAP/RIG introduces a thresholded structure in which only sufficiently retained, ratified, and bridge-mediated order contributes to macroscopic sourcing. This gives the framework a phase-transition grammar, a competition-to-condensation pipeline, and a clean distinction between unresolved possibility and realized geometric burden. ## Current value of the record This record is intended as: - a canonical archive of the present compact formulation, - a citable effective-action statement of the theory, - a stable reference point for future derivation work, - and a scrutiny-ready presentation for follow-on mathematical and phenomenological development.
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