Tangle-Brane Cosmological Model: Dilaton-induced D3-brane dynamics, holographic mass dissipation, and Multiverse cyclicity (Version 14.0)

We present the final, peer-reviewed formulation of the Tangle-Brane cosmological model. Version 14.0 eliminates vulnerabilities related to local Lorentz invariance, introduces a Goldberger-Wise stabilization mechanism for the radion, and formalizes the entropy balance tensor within the ER=EPR framework. The model mathematically demonstrates that the emergent phase with w > 1 does not violate microscopic causality. The Tangle-Brane paradigm offers elegant solutions to long-standing cosmological crises, including baryogenesis, the non-singular Big Bounce, and the nature of Dark Energy, emerging as a rigorous, statistically supported (ln K ≈ +2.8) alternative to the classical inflationary scenario. This edition includes a complete Appendix C with observational protocols for the LISA and Euclid observatories.