R–Relativism in the Logic of Existence (LoE): Emergent Spacetime, Scaling, and Decoherence Dynamics

This paper extends the Logic of Existence (LoE) by introducing R-Relativism — a relational framework in which spacetime, dimensionality, and the constant emerge from synchronization lags within an underlying informational network.

Unlike Einsteinian relativity, where and dimensions are pre-defined properties of a 4D manifold, R-Relativism interprets them as perceptual consequences of coherence propagation across nodes of existence.

Using stochastic simulations on Erdős–Rényi networks (–), we show that constants converge (), effective dimensionality increases logarithmically (), and the emergent coupling weakens with entropy.

A decoherence model with stochastic edge failures reveals oscillations between coherence and fracture phases — dynamic self-repair that preserves relational continuity ().

These results suggest that spacetime is a perceptual echo of relational computation, and decoherence is not collapse but re-rendering of existence.