Cyclic Golden-Conjugate Phase-Shift Mechanics in WUCC-BVP Cosmology

This proposal develops a mathematical description of a Recursive Golden-ConjugatePhase-Shift Mechanism within the Wavy Universe Consciousness Cycle (WUCC) and Binary Vacuum Paradox (BVP) framework. The construction contains two complementarydynamical sectors, denoted A and A∗, each represented by three phase components separated by 120◦. For equal amplitudes within a triad, the vector-like sum vanishes whilethe sum of squared component amplitudes remains positive. The model also introducesreciprocal logarithmic scale variables governed by the golden ratio, a conjugate-exchangemap, and a covariant phase-field action with a periodic phase-locking potential. The action supplies equations of motion and a stress-energy tensor, allowing algebraic intensity tobe distinguished from physical energy density. Cosmological bounce conditions are statedin a spatially homogeneous setting. The proposed framework is a research programme: aWUCC–BVP cosmological solution, its stability, and distinctive observational predictionsremain to be established.