π=1: A Discrete Geometric Framework for Quantum Gravity and Cosmology

This preprint introduces the π■=1 programme: a discrete–continuous framework in which the singularities of general relativity (black holes, the Big Bang) are replaced by finite combinatorial structures. Geometric objects (circles, spheres) are approximated by discrete structures through a discretisation functor preserving topological and metric properties. This is the programmatic, vision-setting article of the series: it states the research programme and its goals, and invites collaboration. It contains no theorems; the rigorous results are developed in the companion articles (uniqueness of the minimal geometry, the unfolding to Euclidean space, the causal substrate). Readers seeking proven statements should begin with the companion article on the axiomatic characterisation of π■=1.