Quantum Field Theory on Ramanujan Graphs: A Complete Formulation in GEUT
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We present a rigorous construction of quantum field theory on d = 6 Ramanujan graphs within theGeometric Emergent Unity Theory (GEUT) framework. The theory yields finite quantum fields through: (1)discrete Laplacian propagators, (2) exact gauge invariance from graph holonomy, and (3) emergent continuum limits. All Standard Model interactions are derived from the graph spectrum λn ∈ [6 − 2√5, 6 + 2√5] with no external regularization required.
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2025-04-26



