Relational Accessibility Emergence (RAE): A Symmetry-Asymmetry Ansatz for Emergent Geometry, Directed Accessibility, Horizon-Like Limits and Cosmological Differentiation

Abstract

Relational Accessibility Emergence (RAE) is an exploratory theoretical framework investigating whether spacetime, temporal ordering, gravitational behavior, and causal accessibility may emerge from a deeper relational structure rather than exist as fundamental background entities. The framework introduces a directed relational accessibility quantity whose symmetric component can be interpreted as mutual relational separation, while its antisymmetric component produces directional accessibility. Toy computational models show that the same relational ansatz can generate geometry-like separation, attraction-like behavior, horizon-like accessibility limits, and ancestry-based relational ordering without introducing physical space or physical time as primitive coordinates. RAE is not presented as a completed physical theory or as a replacement for general relativity or quantum field theory. The current work does not derive Einstein’s field equations, Lorentz invariance, the equivalence principle, observed dark-energy acceleration, or quantum gravity. Instead, it is offered as a falsifiable exploratory framework intended for expert critique, comparison with existing emergent-spacetime research, and identification of the calculations most capable of disproving or refining the model.