This is Part III of the six-part series presenting the Interference-First Reality (IFR) Theory. Part I established the kinematic foundations and the definition of objectivity; Part II supplied the variational principle and the gravitational sector. The present part derives what both left open: physical time. We develop the emergence of temporal order as the ordered succession of stable minima of redundant dispersion, and we show that the arrow of time need not be posited separately—it follows from a single, explicitly stated dynamical hypothesis, the monotonic decrease of the redundant dispersion along admissible histories (objectivizing dynamics), which identifies D red as a Lyapunov functional and makes the high-redundancy regime a dynamical attractor (dynamic classicalization). We prove that this hypothesis is not implied by the second-order interference equation of Part II, which conserves the interference energy, and we state what supplies it. From the same monotonicity, together with the requirement that admissible histories be generated forward in the ordering parameter, we derive three consequences that fix the operational content of emergent time: no admissible protocol delivers a decodable determination to an earlier stage of an objective history; recurrence of an objective structure is not reversal, since informational duration is strictly positive on any non-constant closed excursion; and a closed timelike curve of the emergent metric, if it is the image of an admissible history, does not close the informational order: its endpoints are distinct, strictly ordered stages of the history, which may carry the same objective centre. We then establish the semiclassical and effective-field limits in which general relativity and quantum theory are recovered, deriving from the same attractor, with an explicit rate, the reduction step ℛ Γ → ℛ ℰ ( R ) of the curvature correspondence of Part II and the vanishing of the correction Lagrangian.
This paper develops a distributed-systems reading of causal order, locality, and the formation of facts in a relativistic universe. It extends the interpretive framework of The Universe as a Consistency-Constrained Information History, in which physical reality is redescribed as a causally consistent history of information updates rather than as a collection of objects independently existing within spacetime. The paper asks what kind of consistency structure such a history can possess if it has no privileged global clock, no instantaneous long-distance coordination, and no external coordinator. The answer is not that the universe literally runs a distributed protocol. Rather, distributed systems provide a structural vocabulary for clarifying three features of known physics: the absence of a global present, the unavailability of frame-independent global linearizability, and the formation of stable facts through decoherence, thermodynamic irreversibility, and redundant environmental recording. The main positive contribution is the Causal Consistency Convergence Argument. The privileged element is not bare causal consistency by itself, since distributed storage systems often require convergence mechanisms, object semantics, or causal+ conflict handling in addition to causal dependency preservation. What is privileged here is the causal-ordering discipline: causal predecessors must be preserved, while spacelike or otherwise concurrent events must not be forced into a privileged total order. The argument is intentionally asymmetric. Its lower bound is structural: a continuable history must preserve causal dependencies. Its upper bound is methodological: a framework that treats Lorentz invariance as a core admissibility constraint, and rejects hidden preferred foliations, must not require a privileged arbitration order over spacelike or otherwise concurrent events. Under that stated commitment, causal ordering is structurally privileged because it matches the ordering part of the physical causal structure. Nonlocal quantum correlations are treated separately as correlation constraints, not as hidden order relations. The resulting picture is neither globally serialized nor incoherent: reality is a causally ordered, locally available, and physically finalized information history. This paper is an interpretive and conceptual discussion. It does not propose a new established physical theory and makes no independent empirical prediction.