Thickness Structure Hypothesis Cosmological Extensions

Description This work extends the Thickness‑Structure Hypothesis to cosmology and presents a unified framework in which the major phenomena of the universe arise from a single structural principle encoded in the Δf–γT phase diagram. The theory shows that cosmic acceleration, dark matter, inflation, primordial fluctuations, large‑scale structure formation, black‑hole interior dynamics, and the emergence of time can all be understood as manifestations of phase transitions in the structural variables of the thickness density p(x). On cosmological scales, the global flattening of p(x) suppresses gradient contributions and amplifies the information‑geometric term pln⁡p, which acts as an effective negative pressure. This provides a structural origin for dark energy without invoking a cosmological constant or new fields. The universal tail component of the thickness density, together with nonlocal coherence in the Composite phase, reproduces the gravitational effects attributed to dark matter and explains the universality of galactic rotation curves and halo profiles. In the early universe, large values of Δf and γT place the system near the Core‑phase limit, where rapid structural reconfiguration drives a global exponential expansion identified with inflation. As the universe relaxes into the Stable phase, internal fluctuations Δf become frozen, generating a nearly scale‑invariant spectrum with strongly suppressed non‑Gaussianity. The subsequent formation of the cosmic web emerges from the interplay of Δf‑derived density contrasts, Composite‑phase nonlocality, and tail‑induced gravitational enhancement. Black holes correspond to the opposite extreme of the phase diagram, where Φ→0, Δf→0, and γT→∞. This regime yields structural freezing, event‑time dynamics, and a natural resolution of the information problem through structural re‑encoding during evaporation. Time itself is shown to be a derived structural quantity, continuous in the Stable phase and event‑like in the Core phase. Overall, this work reconstructs the history of the universe as a trajectory through the Δf–γT phase diagram and provides a unified cosmological model that requires no exotic matter, additional fields, or ad hoc assumptions. It offers concrete observational predictions, including a slowly time‑varying dark‑energy equation of state, universal tail‑mass fractions, sharpened BAO correlations, and extremely low primordial non‑Gaussianity. License: CC BY 4.0 only. Thickness Structure HypothesisThickness Structure Hypothesis — A Relativistic Extension of Proper‑Time Structure and Thickness Fluctuation Thickness Structure Hypothesis QuantumThickness Structure Hypothesis Quantum – Unified Interpretation of Quantum Phenomena Thickness Structure Hypothesis DynamicsThickness Structure Hypothesis Dynamics - Unified Equation of Motion Xhttps://x.com/abab162535 Please help arxiv endorsementRelativity and Quantum Cosmology (gr-qchttps://arxiv.org/auth/endorse?x=DITNNU