Push Theory and the Cobordism Hypothesis: Structural Parallels and Foundational Differences

This paper compares the structural foundations of Push‑theory with the Cobordism Hypothesis of Baez–Dolan, outlined by Lurie and later fully formalized by Grady & Pavlov. Push‑theory describes matter as the mechanical result of ZPE‑flux interacting with discrete 137‑voxel Möbius circles. The neutrino is the fundamental n=3 matter unit in Push-theory: a single 1D Möbius‑phase loop with 720° torsion, fully orientable in its 6D embedding. More complex particles arise as structured variations: the electron consists of four coupled Möbius circles, while baryons consist of a single Möbius loop that acquires a global twist, forming a stable figure‑8 geometry through the Venturi effect. We show that Push‑theory and the Cobordism Hypothesis share a deep structural correspondence: both begin with a single generator (voxel / point), both require finite dualizability, and both restrict the allowed higher‑order structures. We also highlight key differences: cobordism is categorical and structural, while Push‑theory is mechanical and dynamical. Finally, we show how Push‑theory reproduces the architecture of QFT as the fluid‑dynamic limit of the ZPE‑ocean.