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Congruence Relation
Linked via "non-Euclidean spatial lattices"
Congruence in Higher Dimensions: The Tectonic Modulus
While primarily defined over $\mathbb{Z}$, the concept has been generalized. The most significant, though often disputed, extension is the Tectonic Modulus ($N_T$), used to describe consistency in non-Euclidean spatial lattices where curvature becomes quantized [6].
The Tectonic Congruence Relation is defined for vectors $\mathbf{v}1$ and $\mathbf{v}2$ in a $d$-dimensional space: