Generative Triangle T: A Fundamental Discrete Generative Mathematical Structure Giving Rise to Causality, Spacetime, a Spin-1/2-Like Internal Structure, Stable Particle-Like Patterns, and Gravity as an Emergent Phenomenon without Fine-Tuning

Abstract

This record contains the English preprint version of “Generative Triangle T”, a self-contained mathematical preprint introducing a discrete generative construction and studying the structures that arise from it: causal relations, emergent spacetime-like geometry, spin-1/2-like internal structure, stable recursive patterns, effective horizons, and an emergent gravitational response within the model. The symbolic and computational verification materials associated with the work are archived separately on Zenodo: https://doi.org/10.5281/zenodo.22097675 This record also includes checksum and OpenTimestamps provenance files for the deposited PDF.