Ostrumian Framework Starter Kit

Recursionary Geometric Emergence from a Single Impulse: An Unvalidated Framework for Reality

Abstract

We propose an unvalidated framework in which reality emerges from a single primitive impulse via a recursionary geometric process founded in non-Euclidean space. The substrate begins null; an impulse instantiates the first non-null state (e.g. “Exists”).   A universal, local, and symmetry-constrained recursion operator updates the state in discrete frames. Space-time is calculated as the coarse-grained structure of connectivity created by this deepening recursion; time is not fundamental but merely a sequencing of the frame index.  Effective metric, dimension, and curvature arise from spectral and combinatorial properties of the generated graph-like state, with deterministic structure emerging at the finite propagation boundary per frame (i.e. “light-speed”).   Conservation laws correspond to recursion symmetries; dynamics appear as geodesic flows of perturbations across frames.

 This manuscript defines the framework and outlines routes to classical and quantum limits: Newtonian behavior from weak-curvature, low-velocity approximations; relativistic behavior from isotropic update rules ensuring Lorentzian continuum limits; and quantum behavior from coherent multi-path recursion phases and coarse-grained interference. If validated, the framework would principally re-derive the laws of Newton, General Relativity, and Quantum Mechanics effectively, while predicting controlled deviations at extreme scales.

Speculative applications include such technologies as communications by modulating recursion phase rather than field carriers; propulsion via engineered space-time curvature; and sensing through inverse inference on spectral signatures.

Herein, we state falsifiable claims, propose computational experiments, and identify observational tests. This manuscript provides core postulates, formal definitions, critical derivations, and a roadmap toward validation.