The Reality Reference Principle: A Covariant, Unitary Action for Dynamical Planck Constant

The Reality Reference Principle: A Covariant, Unitary Action for Dynamical Planck Constant

This preprint proposes a new principle of quantum reality — no sheet has a preferred label. We construct the first fully covariant and unitary action where Planck constant h is a dynamical field h(x).

The framework includes variable h, variable speed of light VSL, two-sheet model, domain walls, and a symmetric bridge term that connects sheets without choosing a preferred reality. The double-well potential allows two stable values of h, forming cosmological domain walls.

The action is constructed to preserve general covariance and Bianchi identity. The contributions from the h-field and the bridge cancel on-shell, so Einstein's equations remain conserved. The matter sector is built to keep the local fine-structure constant unchanged, implementing the Reality Principle.