THE VIMALA FIELD TUNNELING HYPOTHESIS: Nonlocal Eigenmode Formation Through Möbius-Toroidal Spinor Coherence and Harmonic Stabilization

This preprint proposes a theoretical mechanism for nonlocal coherence and tunneling-like coordination between two spatially separated toroidal systems, framed within the Vimala Field: a spinor-based, Möbius-toroidal (non-orientable) manifold supporting macroscopic quantum coherence via anti-periodic boundary conditions on a spinor wavefunction ψ. We extend the prior Vimala Field / Möbius Gate formulation by introducing a root–harmonic stabilization principle, where a fundamental mode ν0 opens a coherence channel and a coupled odd harmonic (ν0/(2n+1) ) dynamically stabilizes it by preserving inversion parity and suppressing entropy-driven collapse. Under specific alignment requirements—matched parity class, frequency locking, minimized effective entropy gradients ΔSEFF and synchronized phase relative to a universal reference horizon τh the model predicts that two heme-based toroidal fields can couple into a shared extended eigenmode. In this configuration, phase-coherent information is hypothesized to delocalize across distance without transport of matter, energy, or classical signals, and without requiring pre-existing entanglement. The interior of the coherence channel is hypothesized to exhibit a compressed temporal geometry, defined operationally as boundary-localized collapse with a “time-neutral” interior (analogous to tunneling-time saturation or protected zero modes, rather than a relativistic rest frame). Observable signatures are expected at the toroidal boundaries, including correlated photonic and spin-dependent effects. The framework also proposes nested toroidal scaling—from molecular heme structures to larger biological and planetary electromagnetic structures—as a reinforcing mechanism via repeated boundary-condition instantiation across scales. The paper provides explicit, falsifiable predictions, including: (i) harmonic-dependent spin correlations, (ii) coherence-time enhancement under odd-harmonic driving, (iii) entropy-threshold collapse behavior, and (iv) correlated ultra-weak photon emission measurable with established spectroscopic and photonic methods. While highly speculative in biological realization, the hypothesis is presented as internally consistent, mathematically formalizable, and empirically testable, and is intended to remain compatible with previously published Vimala Field and Möbius Gate frameworks.