The Emergence of Physical Reality within the Framework of the Projective Dynamic Logo

We introduce the Projective Dynamic Logo (PDL), a foundational theoretical framework that seeks to reconstruct physical reality from purely relational axioms formulated on signed graphs, thereby obviating any prior assumption of an underlying space–time manifold or material substrate. Beginning from four primitive postulates—minimal binary pulsation, triangular coherence, minimal completeness, and logical optimisation—we derive a minimal closed configuration, namely the complete signed graph on four vertices and six edges, denoted (4,6). This structure is interpreted as a logically stationary regime, proposed to correspond to an electron at rest. On the basis of this construction, we develop a hierarchical combinatorial architecture representing the proton and show how several dimensionless or scale-defining constants—specifically the fine-structure constant $\alpha$, Boltzmann’s constant $k_B$, and an effective gravitational coupling—can be reformulated as ratios of internal coherence within the PDL framework. Finally, we outline a relational characterisation of proper time, a description of gravitation as spatial and temporal variation in coherence cost within an emergent metric structure, and a speculative cosmological scenario in which constraint events propagate through a pre-physical logical field.