TITLE:
Interference-First Reality Theory: Temporal Order and Semiclassical Limits—Emergent Time, the Arrow of Time, and the Recovery of General Relativity [IFR Theory Series, Part III of VI]
AUTHORS:
Michele Bianchi
KEYWORDS:
Interference-First Reality, Information Geometry, Emergent Time, Arrow of Time, Lyapunov Functional, Dynamic Classicalization, Chronology Protection, Retrodictive Signalling, Semiclassical Limit, Recovery of General Relativity
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.10,
October
28,
2026
ABSTRACT: 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.