Trans-Dimensional Hydrodynamic Cosmological Framework: Effective Scaffold and Observational Roadmap

This manuscript proposes a Trans-Dimensional Hydrodynamic Cosmological Framework (TDHCF) to address tensions in the ΛCDM model, specifically regarding early massive galaxy candidates observed by JWST. We postulate a bulk-brane transfer mechanism where a Navier-Stokesblow-up in a parent universe creates a topological channel, through which virtual particles escapeto seed new daughter branes. Instead of a complete solution, we present a closed effective scaffold:a global time T foliates the extended system, and bulk-to-brane energy transfer is encoded via adivergence term ∇µTµν = Qν, constrained by total conservation and parent black hole backreaction(dMparent/dT = −Γ¯Epair). We explicitly distinguish the hydrodynamic trigger (the ”door”) fromthe virtual particle seed (the ”traveler”) and introduce a “No-Hawking” constraint, treating horizondynamics solely as a transfer channel without standard thermal emission to the parent exterior.Finally, we outline a quantitative roadmap to test the model against JWST data (e.g., Labb´e et al.)by parameterizing galaxy maturity via inherited age τinh and lapse-controlled accumulation.