Observer-Relative Propositional Coherence in Timelike Quantum-Causal Domains

This paper formulates a hypothesis concerning the logical structure of observational, temporal, causal, and geometrical propositions in timelike quantum-causal domains. In classical relativity, timelike order is invariant once a Lorentzian geometry is fixed. In quantum theory, however, propositions associated with incompatible operational contexts need not belong to a single Boolean algebra. This paper investigates the possibility that, when observers, clocks, matter sources, or effective geometrical degrees of freedom are quantum systems, the set of observer-indexed propositions describing records, clock readings, simultaneity, temporal order, causal accessibility, and effective spacetime geometry may be locally Boolean without admitting a single observer-independent global Boolean valuation. This hypothesis shows to be compatible with the postulates of quantum mechanics, allowing context-dependent propositional structures, and with relativistic causality, causal consistency is preserved within each effective Lorentzian context. The resulting framework states that temporal and causal propositions may remain well defined within compatible operational contexts, while the total structure of facts across observers, clocks, and quantum geometrical degrees of freedom need not possess a single global Boolean representation.