Metaformal Origin of Fundamental Constants: c, h, and Gas Spectral Invariants of Realization Dynamics

This work presents a formal metaformal framework for the origin of the fundamental physical constants—the speed of light ccc, Planck’s constant hhh, and the gravitational constant GGG. In contrast to standard physical theories, where these constants are introduced postulatorily, the present approach derives them as structural spectral invariants of realization dynamics. Physical realization is modeled as an iterative process of projection of admissible eidetic structures into observable states, represented by linear operators acting in a Hilbert space of realizable states. Using methods from iteration theory, spectral analysis, and linear response theory, it is shown that the requirements of coherence, stability, and scale invariance of realization necessarily lead to three universal invariants: a maximal stable realization rate, a minimal nonzero spectral gap, and a universal response coefficient associated with stabilization. Within this framework, the speed of light ccc emerges as a stable fixed point of iterative realization dynamics, Planck’s constant hhh arises as the minimal nonzero spectral gap of the realization operator, and the gravitational constant GGG appears as a universal linear response coefficient linking realization frequency to stabilization depth. These results provide a unified structural origin for the three fundamental constants without invoking spacetime geometry, kinematic postulates, or a priori dynamical equations.