Navigation through Extended Phase Manifolds: A Falsifiable Framework for Faster-than-Light Translation

Abstract

We present a framework for navigation through an extended phase manifold (M, g, Φ) in which conventional Lorentzian trajectories admit embeddings into oscillatory domains. Within this formulation, faster-than-light (FTL) travel is not interpreted as exceeding the invariant speed ccc, but as realignment of geodesics through laminar corridors defined by bounded phase curvature. Astrophysical systems provide natural anchors: black hole quasi-normal mode spectra function as central reference combs; pulsar timing drifts supply intermediate invariants; and stellar oscillations offer regional stabilization. Together these form hierarchical anchor constellations analogous to terrestrial navigation grids. Translation operators embed Einstein tensors, twistor null lines, and causal fermion operator invariants into oscillatory form, ensuring compatibility across established frameworks. A stepwise, falsifiable developmental pathway is outlined: (i) laboratory analogues (optical Möbius fibers, analogue horizons) demonstrating comb invariants and jitter scaling; (ii) twin-cavity locks enforcing Zero-Error Lock (ZEL) criteria; (iii) astrophysical HAC triangulation; (iv) solar-system probe fold-lock tests; (v) volumetric corridor trials with adiabatic boundaries; and (vi) cross-framework consistency with twistor and CFS formulations. Safety protocols include invariant-based ZEL gating, crest-hold stabilization, return-lock recovery, and no- signalling compliance. The framework is therefore calculable, falsifiable, and experimentally approachable, reframing FTL not as propulsion but as navigation through an extended manifold structure.