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The Constant κH: Definition, Arithmetic Properties, and Its Relation to C (Paper 19 of the LQG–LQC Intertwiner Series)

IntroductionThe constant C = 3.60329350391382... — studied in depth in Paper 8 [3] — is the maximumvalue of the LQC bounce window function. Paper 8 established its Gamma-function representation, irrationality, and conditional transcendence, and introduced the family C(λ). The pre...