# Quantum Reference Frames and Single-Outcome Dynamics — A Compatibility Framework for Generative Presentism Part 32 of 40 (1,753 words) | 13.24); no-signaling by algebra preservation (Thm | 13.17); a candidate cosmic-time completion and | its gapless-pointer variant (§13.11, not | adopted); covariant, matter-localizing, and | interacting cases open. Temporal quantum reference frames? | Generation, readings, and conditional descriptions | distinguished (Def. 14.1, Prop. 14.2); criterion | for overlapping descriptions (Def. 14.3), proved | for late-record instruments with ideal clocks | (Prop. 14.5); imperfect clocks open (Conj. 14.4). Quantum gravity? | Generative order distinguished from classical cosmic | time; conditions Q1–Q5, obstructions R1–R4, and | test problems G1–G3 (§15). Table 5. The open questions and where they are answered. ---------------------------------------------------------------------------------------------------- 19. Conclusion ---------------------------------------------------------------------------------------------------- The present world is represented here by a perspective-neutral quantum state together with a Lucretian truth profile drawn from an exactly specified space of admissible histories. The generative law is a relational, single-outcome instrument in discrete stages, or equivalently a relational GRW-type jump process in continuous time. Its primitive events are occurrences whose probabilities the law fixes, not sharp values of observables. Frame descriptions are unitary reductions of the neutral state, and two descriptions describe one complete state exactly when they lie in one description orbit. The interpretive thesis that such an orbit is one realized world with one history is what CTGP adds, and it is stated as a thesis, not presented as a theorem. The truth profile does work that the quantum state cannot do. With finite-width collapse, any present state can be reached along any sequence of events from a suitable initial state, so nothing in the present physical state settles what happened; what settles it is what the present world has been. That is the Lucretian thesis, given an exact form. The same results separate what is true about the past from what can be recovered about it and from what still influences the future: the past is definite, it may be unrecoverable, and it acts on the future only through the present. Beyond the finite model, the same structure points to a definite program. The distinction that matters most is between agreement about states and agreement about realized histories: theories can agree on every density operator and still disagree about what happened, so single-outcome compatibility with relativity must be proved at the level of histories. For causally local instruments in finite models it holds, and the choice of generative foliation is then empirically invisible, as CTGP’s observational equivalence requires. For gapless detectors on a free relativistic field it holds as well, with operational no-signaling even in Sorkin’s configuration, and it extends to spontaneous Gaussian collapses of smeared fields on a fixed family of regions and to collapses at Poisson-distributed locations on every causally orderable configuration. Beyond that, a covariant law needs structure at each event: orderability is lost in large volumes, interfering collapses then depend on their order, and no Lorentz-invariant smearing law exists. Within CTGP, cosmological time can supply that structure consistently, as a candidate extension, but only by giving the generative order a dynamical role, which is a decision for the framework rather than a result. Realizing each collapse by a gapless pointer coupled to the field removes the need to order the collapses, although cosmological time still fixes their smearings and the definite pointer readings must still be postulated. A covariant spontaneous-collapse theory that localizes matter remains to be established. Quantum clocks may repeat readings, delocalize events, and order them differently from generation without touching event identity, and for two ideal clocks with the interventions inside the constraint, late-record events are clock-neutral even when the order of the interactions that write them is superposed, and that superposition has observable consequences for offset-coherent measurements. Deriving a definite generative order from clock-neutral data, treating realistic clocks, and carrying generation into quantum gravity remain open. The law generates the history, and the truth profile records it. Frames describe the result differently, but they never disagree about what happened. ---------------------------------------------------------------------------------------------------- References ---------------------------------------------------------------------------------------------------- Aharonov, Y., & Kaufherr, T. (1984). Quantum frames of reference. Physical Review D, 30, 368–385. Allori, V., Goldstein, S., Tumulka, R., & Zanghì, N. (2008). On the common structure of Bohmian mechanics and the Ghirardi–Rimini–Weber theory. British Journal for the Philosophy of Science, 59, 353–389. Andersson, L., Galloway, G. J., & Howard, R. (1998). The cosmological time function. Classical and Quantum Gravity, 15, 309–322. Araújo, M., Branciard, C., Costa, F., Feix, A., Giarmatzi, C., & Brukner, Č. (2015). Witnessing causal nonseparability. New Journal of Physics, 17, 102001. Bartlett, S. D., Rudolph, T., & Spekkens, R. W. (2007). 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