Late Time Exponential Trend

ΛCDM observes that cosmic expansion has not merely accelerated since z ≈ 0.7, but that the acceleration itself appears to be intensifying — the expansion history curves upward in a way that strains a simple cosmological constant interpretation and instead suggests an effective dark energy density that grows with time. In Successive Collision Theory, this late-time exponential character emerges directly from the tensor mesh dissipation mechanism. As the largest gravitational hierarchies — superclusters, filaments, and the network of walls that define the cosmic web — continue losing bound members through orbital decay, three-body ejection, and dynamical friction, the overlapping gravitational well network weakens progressively. The effective cosmological term Λ_eff(x,t) = C × Λ_parent(x,t) / λ_local(x,t) grows as the numerator (parent-frame mesh dissipation) increases and the denominator (local binding strength) decreases in tandem. This is an accelerating process: as structure unravels, it becomes easier for adjacent structures to unravel further, producing a compounding signal that observers measure as an intensifying late-time expansion trend rather than a flat constant.

The exponential character of the trend is a natural consequence of the hierarchical architecture of the nested comoving frame system. Early in cosmic history — near the epoch of matter-radiation equality — the tensor mesh was dense, richly interconnected, and strongly self-reinforcing. The rate of hereditary time correction transmitted downward through the hierarchy was approximately stable, producing the decelerating expansion epoch inferred from high-redshift supernovae. As cosmic time advances, each level of the hierarchy that weakens feeds reduced gravitational binding to all subordinate levels simultaneously; the mesh is not just losing members, it is losing the capacity to retain members. This nonlinear feedback is the physical origin of the apparent exponential growth. SCT thus explains the late-time exponential trend as the observable signature of a gravitational hierarchy in progressive, self-amplifying dissolution — no phantom energy field, no evolving scalar potential, and no modification of GR is required. The same tensor mesh dissipation mechanism that resolves the Hubble tension, the coincidence problem, and the nature of dark energy all predict, consistently and without additional parameters, that the expansion trend should steepen precisely as observed.