A Unified Framework for Cyclic Ekpyrosis, Quaternionic Time, and Cosmic Dark Sectors: The LTBWC Model

We propose a unified cosmological framework—the Layered Time-Asymmetric Braneworld Cosmology (LTBWC)—that addresses the origins of dark matter, dark energy, quantum superposition, and the fine-tuning problem. The model posits a 5-dimensional toroidal bulk wherein four independent 3-branes (representing orthogonal temporal states) undergo cyclic Ekpyrotic collisions. We introduce a 3D Quaternionic Time volume to geometrically resolve wave-particle duality and quantum entanglement. Furthermore, we demonstrate that cosmic expansion is governed by a dynamic radion field undergoing a cascading thermal phase transition. This transition naturally yields a freeze-in mechanism for Branon dark matter in the early universe and triggers the onset of dark energy at z≈0.5 via a decoupled true vacuum. By framing macroscopic causality as an emergent property rather than a fundamental law, the model resolves time paradoxes while predicting specific, falsifiable signatures, including redshift-dependent multipath gravitational wave pre-echoes detectable by next-generation observatories.