Geometric Constraints

Geometric Constraints are the component of the Zero Substrate, written G_0(x), that defines the local spatial topology at each position before any dynamics begin. The book lists three Substrate Components that the Zero Substrate holds while it sits in temporal stasis: Static Tension Vectors T_0(x), the preloaded structural parameters; Geometric Constraints G_0(x), the local geometric relationships; and Potential Energy Fields V_0(x), the stored initialization energy. The arrangement is compared to cellular automata, where spatial configuration fixes computational potential before any update occurs. Because nothing changes in the Zero Substrate (∂S_0/∂t = 0 everywhere), the geometric constraints are part of the Universe's source code before execution: they carry the topological relationships and invariants that later guide dimensional emergence once Prime Pulse Activation starts time. The book tags G_0(x) as dimensionless, [∅]. Geometric Constraints connect to Zero Substrate, Static Tension Vectors, Potential Energy Fields, Lattice Geometry, Topological Charge and Frame 0 to Frame 1.