The Toroidal Momentum Engine: A Framework for Cosmic Architecture, Topological Induction, and a Workable Version of Infinity

This paper proposes a candidate geometric interpretation of cosmic architecture: a finite, circulating 3-Torus manifold in which cosmological inflation is reinterpreted as a topological merger event, the capture and assimilation of one toroidal manifold by another. We replace the singularity-dependent Big Bang with the Big Splash, a high-energy displacement event in a finite medium, and argue that the Hubble Tension is an observational artifact of Topological Refraction within a closed manifold. The 3-Torus provides what we term a Less Expensive Infinity: boundless traversal within finite volume. We further propose that this infinity is not static but grows through toroidal merger events, each of which expands the manifold and injects energy indistinguishable from inflation. An experimental appendix outlines a terrestrial proof-of-concept: a toroidal recording medium capable of volumetric data storage at densities exceeding conventional optical media by orders of magnitude.

This paper does not attempt to mathematically derive the geometry from first principles; instead, it argues that nature already supplies the physical analogs. From quantum-scale orbitals to celestial impacts frozen in rock, toroidal attractors appear across observable scales. The physical structure itself is the completed calculation.