Paper CCLVIII: The Quantum Potential as Brane-Bulk Transit Feedback — Resolving the Lohmiller–Slotine / Vattay Debate via the One-Octonion Brane-Bulk Framework

Key Points

• The aim is to resolve the debate between Lohmiller & Slotine and Vattay on quantum potential formulations.
• Utilized the One-Octonion Brane-Bulk framework for analysis.
• Identified the back-reaction of brane-bulk transit on the density profile of wavefunctions.
• Performed order-of-magnitude estimates to recover the Madelung-Bohm form mathematically.
• Successfully demonstrated that the quantum potential Q arises from brane-bulk effects.
• Found that Q can be structurally approximated by |Q| ≈ (ℏ²/2m)·|∇²√ρ|/√ρ.
• Predicted outcomes span from atomic to GeV scales, providing insights into coherence loss in transparent media.

Abstract