Common Record-History Dynamics Without a Global Unifier: One Adopted Kernel for Matter, Geometry, and Order

This paper is the forty-first in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates rather than as a collection of independently existing objects. It opens the twelfth grouping — the U3 construction program — and executes a declared mode shift: from audit to adoption. The eleventh grouping (Papers 38-40) audited three independent seams for a framework-forced world-side observable and returned three honest nulls; its capstone proved that adoption, typing, and matched-warrant witnesses alone do not generate U3 (dynamical unification with new physical predictions), and named the additional world-side postulate such content would cost. This paper pays the named cost explicitly, in public, at a typed level. It defines a new claim level, L3-A (adopted world-side dynamics postulate) — declared, parameterized, falsifiable, conditionality-tagged, normalized before prediction — and adopts at that level a common record-history kernel Pₖer: one classical-quantum (GKSL-type CQ) generator whose fixed Lindblad operators are export-event operators driven by an adapted, classical, non-future-referencing record-export intensity Jᵣec, with eligibility thresholds (redundancy floor, retention floor, error ceiling, grain) fixed once at adoption for every system and every experiment, never re-tuned. The same operator family drives three faces — matter-side export decoherence (lambdadec), geometry-side stochastic sourcing (lambdadiff, connected to Paper 38's variance budget by an adopted export-fluctuation sourcing law), and causal-order classicalization at the derived rate lambdaₒrd = kappa lambdadec, with kappa computed from operator overlap, not tuned. Erasing the operator family anywhere erases it everywhere: that, not an analogy among three sectors, is what "common dynamics" means here. The flagship object is the admissible coefficient space Aₖer of lambda = (lambdadec, lambdadiff) under an eight-gate consistency system: complete positivity; operational no-signaling at the declared non-relativistic weak-field regime; the decoherence-diffusion trade-off floor of classical-quantum gravity — imported only after a normal-form placement derivation licenses its hypotheses for the export-localized kernel class, in operator form first and as a benchmarked scalar projection second; Paper 38's energy-budget ceiling through the displayed sourcing bridge; second-law accounting; and three data ceilings (molecular interferometry, mm-scale gravimetry, quantum-switch visibility), each carrying an explicit export-density-audit vacuousness branch. At the declared benchmark the gates leave an explicit admissible point (lambdadec = 1e-2, lambdadiff = 1e-57 kg² s² per event), so Aₖer is nonempty and the program proceeds. A distinctness lemma separates Pₖer definitionally from universal mass-density CQ coupling, with the honest converse stated (empirical distinctness must be earned in Paper 43's rhoJ-varying regimes, else the generic-CQ collapse branch fires) ; a calibration ledger fixes what the single calibration slot may ever buy; recovery conditions RC1/RC2a/RC2b/RC3 are defined here and owed by Paper 42; a closure map guarantees every branch of the grouping — consistency no-go, generic-CQ collapse, trade-off-underdetermined, recovery no-go, suppressed, excluded, or surviving window — ends in a definite, publishable result. The paper claims no gate crossing and no U3; it asserts none of the new physics it adopts; all downstream results are conditional on Pₖer. The adopted postulate is genuinely new physics as a commitment (L3-A) ; the paper's own computations about it are interpretive (L2-Q) on imported physics (L1).