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Theoretical analysis reveals isomorphic groupoid equivalence across phase geometry, causal propagation, and Galois symmetry, suggesting a unified algebraic pattern in reduced models.
We show that layered circle, null, and Galois structures become isomorphic groupoids within a reduced model. Using pushout encounters and a discrete pivot, phase geometry, causal propagation, and Galois symmetry collapse into a single algebraic pattern.
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Shin Tamaki (2026) studied this question.
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