
Framework: Foundations This record provides the manuscript and reproducibility material for a source-audited CAMB/Cobaya stress test of a frozen late-growth readout branch. The branch is compared against a dormant identity branch under matched Cobaya likelihood configurations. Native Planck 2018 lensing is tested in two ways: first by post-processing completed active/dormant chains, and then by full MCMC inclusion from the beginning of the sampled Planck-primary-plus-lensing likelihood. The release is organized around an executable active/dormant branch pair, not around an after-the-fact rescaling of published chains. The tested object is a frozen CAMB source-level readout state, implemented through a compiled active/dormant late-growth response in CAMB and then evaluated through matched Cobaya likelihood runs. The audit material includes CAMB source records, active and dormant branch controls, Cobaya YAML configurations, chain outputs, effective-sample diagnostics, native Planck-lensing post-processing records, full-MCMC Planck-primary-plus-lensing runs, likelihood-isolation diagnostics, and SHA-locked traceability artefacts. The production branch acts at the CAMB matter-power and growth-amplitude readout level. The dormant branch returns the identity readout. In the active branch, the fixed transmission is P_active(k,z) = Gamma_eff P_dormant(k,z), and sigma8_active = sqrt(Gamma_eff) sigma8_dormant, with Gamma_eff = 0.9407576577720417 and sqrt(Gamma_eff) = 0.9699266249423416. The operative source-level implementation is tied to the CAMB Fortran record `fortran/results.f90`, through the module `c1k_stage25_late_growth_response`. The source audit verifies the active/dormant ratios for both P(k) and sigma8 before any likelihood-level interpretation. This is therefore not a posterior scalar-amplitude adjustment in Cobaya. The likelihood-facing sequence has three main stages. First, a production-track Planck NPIPE/CamSpec high-ell TTTEEE plus compressed-S8 MCMC compares the active branch to the dormant identity branch and recovers the intended lower-growth displacement. Second, R8B adds the native Planck 2018 lensing likelihood, `planck_2018_lensing.native`, by Cobaya post-processing on the completed active and dormant chains. Third, R9A/R9C includes the same native Planck-lensing likelihood from the beginning of both MCMC runs, giving the full sampled Planck-primary-plus-native-lensing confrontation of the same frozen branch. The completed R9A/R9C full-MCMC comparison contains 12000 chain rows per branch. The reported effective-sample fractions are f_ESS,dormant = 0.5760618629 and f_ESS,active = 0.5844448656. On the sampled active/dormant comparison, the active branch remains lower: Delta chi2_total = -4.946277664, Delta chi2_lens = -0.6871262924, Delta(-log P) = -2.473136239. The corresponding growth-coordinate shifts are Delta sigma8 = -0.02055920864 and Delta S8_recon = -0.01668570298. As a likelihood-isolation diagnostic on the completed R9A/R9C chain support, the compressed S8-like contribution is removed from the reported chi-square decomposition. The active branch remains lower on the Planck high-ell plus native-lensing combination alone: Delta chi2_high-ell+lensing,no-S8 = -1.3668761177, with separate contributions Delta chi2_high-ell = -0.6797459397 and Delta chi2_lens = -0.6871262924. This diagnostic shows that the reported full-MCMC active-over-dormant direction is not carried only by the compressed S8-like term. The scope of the record is explicit. This deposit does not claim a first-principles validation of the full upstream OT--GKSL framework. It does not introduce a sampled scalar-field sector, a primitive dark-fluid sector, or a sampled curvature-prefactor function G_eff(z,k). It also does not claim that the upstream certification burden has been independently derived here. The present production branch is a downstream late-growth readout implementation tested in CAMB/Cobaya. The result is a conditional, source-audited, likelihood-facing stress test of one frozen executable branch. The remaining validation frontiers are separate: a response-conserved Boltzmann-sector implementation, real multi-probe LSS likelihoods with full covariance and nuisance treatment, and independent calibration or derivation of the upstream certification burden. These are not folded into the present claim. The purpose of this deposit is reproducibility and evidence separation. Source-level implementation, dormant identity controls, active readout probes, matched active/dormant Cobaya configurations, R8B native-lensing post-processing, R9A/R9C native-lensing full MCMC, R9F likelihood-isolation diagnostics, and SHA-based audit artefacts are kept as distinct evidence layers. This structure prevents the completed numerical stress test from being confused either with a full fundamental-theory validation or with a notebook-level scalar rescaling. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- OT-GKSL: Recommended reading order: A safe reading order for a new reader is: Foundations — for the architecture, status map, certified-domain logic, and the visible/vacuum/dark triplet as an internal branch structure. Trilemma / Certified Readout Geometry — for the positive meaning of W_acc, the source-only placement rule, the Einstein lock, and the constitutive/holonomic split. Certified recoveries — to understand what a controlled recovery is and why a recovery is not the framework itself. Exact nonlinear reduced sector / numerical branch atlas — to see what “reduced exactness” means and why the reduced layer is a real nonlinear dynamical layer in its own right. Certified nonlinear Einstein readout — to see the nonlinear readout-core closure. Temporal / spacetime / causal-local certification papers — to understand certified solvability and finite-resource readout semantics. Mass generation and vacuum-like residual sourcing — to understand the first central physical extraction from the reduced constitutive–holonomic branch. Homogeneous vacuum-like specialization — to see how the lifted vacuum-like slot becomes physically meaningful after source/response closure under finite budget. CDM-like intermediate branch — to understand the branch-resolved visible/vacuum/dark triplet. Experimental protocols and numerical atlases — only at the end, so that the operational papers are read at the correct logical level. Bibliography: GKSL / Lindblad — foundational open-system framework for completely positive quantum dynamical semigroups. Carlen–Maas — bridge between quantum Markov semigroups, entropy production, and optimal transport geometry. Lovelock + Donoghue — Einstein-lock consistency and low-energy effective field theory (EFT) interpretation of gravity. Jacobson + Sakharov — gravity interpreted as an equation of state or induced/emergent phenomenon. Vassilevich / Seeley–DeWitt — spectral bridge from microscopic operators to geometry and effective actions. Bekenstein–Hawking–Wald — black-hole horizons, entropy, and Noether-charge formulations of gravitational thermodynamics. Wilson / Gross–Wilczek–Politzer — QCD, gauge structure, confinement, and asymptotic freedom. Kasevich–Chu / Peters–Chu / Rosi–Tino — atom-interferometric gravimetry and precision low-energy gravitational testing. Blais–Girvin–Oliver — transmon qubits and circuit-QED architectures relevant to CLCP/QBIT implementations. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ///Before reading: this document is a part of 20 documents that make up the full architecture. Each result presented here depends on those documents; links are provided below in this summary./// 1. Foundations of the Architecture: Foundations |GKSL/Lindblad ; Carlen–Maas ; Jacobson ; Sakharov ; Donoghue ; Lovelock) Establishes the core Einstein-locked OT/GKSL architecture for certified geometric readout and coherence-dependent gravitational sourcing. Master Reading Guide to the Low-Energy-Testable Optimal-Transport Gravity–GKSL Certified-Domain Architecture | + Donoghue EFT + Zurek/decoherence / This record presents the master architectural entry point to the low-energy-testable Optimal-Transport Gravity--GKSL certified-domain architecture. 2. Emergence and Recovery of Classical Physics: Exact Reduced OT/GKSL Equations | Mori–Zwanzig/projection operators ; effective field theory ; Carlen–Maas ; Wilsonian reduction / Demonstrates the controlled recovery of classical Newtonian and gravitational sectors as exact non-linear reductions of the native OT/GKSL state dynamics. Certified Einstein Non-Linear Readout | Lovelock ; Bianchi identities ; Donoghue EFT ; Jacobson thermodynamic gravity// Develops the full non-linear Einstein-locked readout closure for the metric sector. Non-Linear Dynamics and Readout | Dynamical systems, center manifold/effective reduction ; quantum Markov semigroups ; non-linear open-system reductions // Explores the exact reduced non-linear evolution on collective state manifolds. The Seeley–DeWitt Bridge | Seeley–DeWitt heat-kernel ; Vassilevich // Formalizes the operational connection between native state dynamics and the effective classical readout. The SDW Bridge: Composite Brout–Englert–Higgs Dynamics, Spectral Separation, and the Emergent Graviton | Formalizes the emergence of the Brout-Englert-Higgs composite scalar and the spin-2 graviton via the Seeley-DeWitt expansion, strictly preserving the Einstein-Lock. Bridge between QCD and OT/GKSL Readout | Wilson lattice gauge theory ; Gross–Wilczek–Politzer asymptotic freedom ; Kogut–Susskind Hamiltonian lattice gauge theory // Connects the Optimal Transport / GKSL framework to Quantum Chromodynamics, exploring the constitutive bridge and effective low-energy dynamics. 3. The Certified Boundary and Structural Limits: Certified Spacetime Readout on Finite Support: A Unified Temporal and Geometric Boundary | Decoherence / Quantum Darwinism ; quantum reference frames ; finite information bounds ; Jacobson // Unifies the temporal and geometric branches of classical readout into a single certified spacetime problem. Introduces the unified spacetime readout burden and derives the central unified certified-budget inequality, proving that temporal precision, geometric coframe nondegeneracy, and bridge compatibility draw from the same finite entropic and informational resources and cannot be made simultaneously ideal. Certified Causality, Locality, Nonlocality, and Relativity in the Einstein-Locked OT/GKSL Framework | Algebraic QFT/locality ; operational quantum theory ; quantum reference frames ; relativistic causality tests // Determines the exact status of causality, locality, nonlocality, and the principle of relativity within the Einstein-locked OT/GKSL architecture. Shows that causal-local spacetime semantics is a certified readout property rather than a primitive native axiom; proves a patchwise gluing theorem for certified local causal structure; and derives a unified finite-budget inequality showing that temporal precision, geometric certification, bridge admissibility, and overlap compatibility all compete for a single residual causal-local headroom on finite effective support. Entropic Tick Cost and Certified Temporal Readout in the Einstein-Locked OT/GKSL Framework | Demonstrates that classical ticks are finite-resource readout objects extracted from native entropic ordering, rather than primitive background parameters. Decomposes the entropic tick cost into native, extraction, and certification branches, and derives a theorem-level certified temporal budget inequality connecting temporal resolution, finite effective support, and certification margins. Entropic Tick Cost & Spectral Budget | Page–Wootters time ; thermal time hypothesis ; quantum clocks ; Salecker–Wigner bounds // Establishes a theorem-strength certified boundary for classical spacetime by proving a fundamental trade-off between entropic tick resolution, coframe stability, and finite informational budget. Optimal-Transport Gravity Trilemma | Identifies the certified operational boundary of geometric readout by proving the fundamental trade-off between temporal resolution, coframe stability, and bridge fidelity. Toy Certified Pipeline from Optimal Transport QCD | Provides a protocol-level implementation and scaling model for certified bridge margins. Certified Spectral Boundary from Heat-Kernel Budgets and Entropic Transport in the Einstein-Locked OT/GKSL Framework | Heat-kernel spectral budgets; entropic OT/GKSL transport; certified spectral boundary; Einstein-locked readout. Develops a spectral-geometric control layer for the OT/GKSL framework, where the native heat trace bounds finite spectral resources, the cutoff gap defines a certification margin, and entropic transport controls the drift of readout-support budgets without inducing a state-dependent Einstein–Hilbert kinetic term. Correlation Separation in the Einstein-Locked OT/GKSL Framework | Establishes a theorem-level distinction between native, readout, and causal-local correlations, and reframes the horizon information problem through certified-domain correlation layering 4. Cosmological Dynamics & Global Readout Constraints: Vacuum-like Residual Energy from Constitutive-Holonomic Balance in a Minimal Reduced OT-C3 Sector | Effective potentials ; Coleman-Weinberg ; Sakharov induced gravity ; vacuum energy problem // Demonstrates analytically that the macroscopic cosmological constant emerges as a non-zero vacuum-like residual energy resulting from the exact balance between scalar constitutive dissipation (source sector) and the non-commutative holonomic barrier of the Optimal Transport geometry. Homogeneous Closed Readout Dynamics under Finite Spacetime Budget | FLRW cosmology ; effective dark energy ; backreaction ; EFT of dark energy// Constructs a homogeneous and isotropic model (G-FLRW) demonstrating how the spacetime budget acts as a branch-selection mechanism, effectively identifying the vacuum-like sector (Λ) as the maintenance cost of certified spacetime solvability. Branch-resolved Einstein-locked OT–GKSL route to the Hubble tension: minimal background model, cleaned selection scan, and first viability window ΛCDM/CAMB/Cobaya ; Planck likelihoods ; effective dark energy / early dark energy literature 5. Experimental Protocols and Testability: Testing Source-Side State Dependence in Gravity with Lock-In Atom Interferometry | Kasevich–Chu ; Peters–Chung–Chu ; Rosi–Tino ; atom gravimetry // Proposes a concrete experimental protocol to falsify source-only emergent gravity at low energy. A Lock-in Atom-Interferometric Test (Clock) | Detailed operational implementation of the low-energy readout test for the Einstein-locked framework. Experimental Separation of Readout and Causal-Local Correlation Layers in the Einstein-Locked OT/GKSL Framework //Circuit QED / transmons ; readout fidelity ; mutual information ; quantum verification // Proposes a falsifiable experimental protocol (CLCP) to test the layered structure of correlation observables by separating certified readout and causal-local licensing thresholds on a controllable quantum platform . 6. Mass Generation: Mass Generation and Vacuum-Like Residual Sourcing Theorem in the Einstein-Locked Optimal-Transport/GKSL Framework | This paper establishes a theorem-oriented source-side mechanism for mass generation and vacuum-like residual sourcing within the Einstein-locked OT/GKSL framework for open quantum sources A Theorem on a CDM-Like Intermediate Branch in the Einstein-Locked OT/GKSL Framework | This paper establishes a theorem-level result within the Einstein-locked OT/GKSL framework: cold-dark-matter-like behavior can arise internally as a stable intermediate branch of the reduced constitutive--holonomic source-side sector, without introducing a new primitive dark particle and without modifying the Einstein--Hilbert kinetic block. 7. Dirac Electron Dynamics: Optimal-transport + GKSL: Certified Recovery of Dirac Electron Dynamics in Central Abelian Potentials from the Einstein-Locked Optimal-Transport-GKSL Framework | Dirac equation ; Foldy–Wouthuysen ; gauge-covariant derivatives ; central potentials // This paper establishes a certified recovery of standard relativistic electron dynamics from the fermionic gauge-enriched sector of the Einstein-locked Optimal Transport OT/GKSL framework. The paper identifies and constructs a certified fermionic readout regime in which the Einstein-locked OT/GKSL framework recovers standard Abelian Dirac dynamics in mathematically controlled form.
reduced sector, CamSpec likelihood, GKSL dynamics, Bayesian inference, full mcmc lensing, Einstein-locked gravity, Einstein-Hilbert sector, MCMC convergence, No exotic field, CAMB, Late-growth suppression, branch-resolved cosmology, Matter power spectrum suppression, Quantum optimal transport, P(k) suppression, Hubble tension, cold dark matter, DES-Y3 likelihood, S8 tension, Locked upstream constants, background cosmology, Cobaya MCMC, No free parameters, Carlen-Maas gradient flow, sound horizon, certified readout, Source-side constitutive placement, Semiclassical gravity interface, optimal transport gravity, source-response closure, Posterior comparison, Von Neumann entropy gradient flow, OT-GKSL, Einstein-locked framework, mcmc, Modified gravity alternative, optimal transport, Density matrix geometry, Branch-resolved cosmology, GKSL, vacuum-like sector, FLRW background, early-time cosmology, constitutive-holonomic dynamics, no free parameters, non-phenomenological dark sector, Sigma8 tension, Lindblad semigroup, Planck NPIPE
reduced sector, CamSpec likelihood, GKSL dynamics, Bayesian inference, full mcmc lensing, Einstein-locked gravity, Einstein-Hilbert sector, MCMC convergence, No exotic field, CAMB, Late-growth suppression, branch-resolved cosmology, Matter power spectrum suppression, Quantum optimal transport, P(k) suppression, Hubble tension, cold dark matter, DES-Y3 likelihood, S8 tension, Locked upstream constants, background cosmology, Cobaya MCMC, No free parameters, Carlen-Maas gradient flow, sound horizon, certified readout, Source-side constitutive placement, Semiclassical gravity interface, optimal transport gravity, source-response closure, Posterior comparison, Von Neumann entropy gradient flow, OT-GKSL, Einstein-locked framework, mcmc, Modified gravity alternative, optimal transport, Density matrix geometry, Branch-resolved cosmology, GKSL, vacuum-like sector, FLRW background, early-time cosmology, constitutive-holonomic dynamics, no free parameters, non-phenomenological dark sector, Sigma8 tension, Lindblad semigroup, Planck NPIPE
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