Towards a Geometric-Informational Unification of Physical Reality

The paper introduces a fundamental shift in the representation of physical reality, moving from a particle-based paradigm to a Recursive Complex Representation of 5 scaling levels (RCR) of a “hypophenomenal” geometric model. A unique scaling base ξ is defined that is deduced from the Planck constant and the gravitational constant G. The model posits that space is not a static container but a Plenum (David Bohm’s name for vacuum) of Planck contiguous cells (P-cells) whose vibrations constitute the fundamental energy of the universe. Masses are “trapped light”, viewed as localized vibrational resonances of the signal c that maintain a portion of the signal within contiguous groups of P-cells, and can propagate along the plenum by keeping their internal vibrational configuration. The fine-structure constant α acts within a universal renormalizing factor, strictly related to the scaling factor ξ = (GL_P)^1/5. Experimental masses, across 60 orders of magnitude (from the neutrino to the Sun) are retrieved from their ξ logarithmic localization with respect to Planck’s mass. The fundamental equations of Planck, Einstein, and de Broglie are not independent postulates, but natural geometric emergences of the signal’s vibrational dynamics. Gravitational force and constant G are formulated in terms of matter aggregation and dynamic curvature of the signal in the Plenum.