MOND from Compact Dimension Compression: Entropy, Space Creation, and the N-K Coupling Mechanism

This paper derives the MOND gravitational coupling Gₗocal = G₀/μ from the dynamics of compact extra dimensions in a Kähler compactification. When the local gravitational acceleration falls below the threshold a₀ = cH/6, the compact dimensions compress (μ = VK/V₊₀ < 1), reducing their volume and increasing the effective gravitational constant. The interpolating function μ (x) = 1 − e^−√x, where x = g/a₀, follows from the self-consistent response of the compact geometry to the local field state. Sector isolation is established: only G and ℏgrav vary under compact dimension compression, while the speed of light, electromagnetic coupling constant, strong coupling, and particle masses are protected by the topological structure of the compactification. The paper provides the microscopic mechanism underlying the modified Einstein equations Gₐb + Λgₐb = (8πG₀/μ) Tₐb derived in a companion paper. Originally submitted to Physical Review D on March 16, 2026.