La Profilée - The Structural Future of the Universe: Accelerated Expansion, Decoupling, and the End of Persistence

The accelerating expansion of the universe, driven by dark energy or an equivalent cosmological constant Λ, is typically described in terms of geometry, thermodynamics, or the long-run fate of matter. This paper applies La Profilée (LP) to offer a structural reading: cosmic expansion as a regulator of transformation density that progressively reduces effective coupling between structures at increasing scales, systematically driving the Integration Ratio IR = R / (F · I) above the persistence boundary from the largest scales downward. The LP structural reading yields a precisely sequenced prediction. The dissolution of persistent structures follows from the combination of integration capacity and coupling exposure at each scale: structures with low coupling density are structurally exposed first, even before their internal integration capacity is exceeded. The sequence runs from superclusters through galaxy clusters, galaxies, and stellar systems, with two structurally distinct futures depending on the dark energy regime. In the standard ΛCDM scenario, expansion leads to progressive isolation — local systems become causally disconnected but internally intact, reaching a state designated here as Regime Ωᵢso: Frame with locally persistent Module and globally dissolved Coupling. In the phantom energy scenario (w < -1), transformation density eventually exceeds all integration capacities at all scales, reaching Regime Ωₙull: Frame without Module, the admissibility structure of spacetime persisting in the complete absence of persistent content. This identifies a coupling boundary of persistence: expansion does not directly dissolve local structures, but progressively eliminates the conditions under which structures remain coupled across scales.