τ_uv Correlation operator on topological groups, GF algebra and structural fabric
DOI:
https://doi.org/10.47187/perf.v1i35.373Keywords:
Structural codes, Numerical sets, Finite Galois fields, Topological groups, Algebraic knitting, Geometric patternsAbstract
Given the correspondence between topological and numerical codes in the definition of groups, the objective was to correlate the abstract algebra of finite fields, statements of quantum physics, and the geometric modeling of a mathematical set, based on an innovative tool such as crochet. The method consisted of analyzing the projection pattern onto entanglement loops to identify the sets belonging to an algebraic group and the complements defined as transcendental elements. Among the results, a reflected pattern proportion of 61.8% was identified in the ratio for pattern development using cyclic curves. This suggests that the geometry of the code defines the interaction of the field in the physical system, and thus the complement of the set forms a spherical harmonic of the projective pattern. This allowed us to conclude that operations in the algebra of finite fields on the model of a mathematical object represent a valuable tool for interpreting abstract statements of modern physics.
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