The Conformal Primon Gas at the End of Time
Article
Formal Antecedent
Foundations and Logic
Citation
Hartnoll, Sean A. and Yang, Mao. (2025). The Conformal Primon Gas at the End of Time. arXiv preprint.
Why this reference is included
Hartnoll and Yang’s 2025 The Conformal Primon Gas at the End of Time, published in arXiv preprint, is one of the program’s working technical references. Cited across Book V (Categorical Macrocosm), Part 6, Chapter Black Hole Birth as Global Topological Event; Book V (Categorical Macrocosm), Part 6, Chapter Black Hole Bipolarity and Blueprint Fusion — the central framing is “Hartnoll and Yang show that the BKL near-singularity dynamics of 4d Einstein gravity maps to hyperbolic billiards on the fundamental domain ℍ/SL(2,ℤ), whose quantum states are…”.
Cited in
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Book V — Categorical Macrocosm Part 6Chapter Black Hole Birth as Global Topological Event
Hartnoll and Yang show that the BKL near-singularity dynamics of 4d Einstein gravity maps to hyperbolic billiards on the fundamental domain ℍ/SL(2,ℤ), whose quantum states are automorphic L-functions labeled by prime numbers
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Book V — Categorical Macrocosm Part 6Chapter Black Hole Bipolarity and Blueprint Fusion
The completed ξ-function of a Maa cusp form satisfies the functional equation ξ_k(s) = -ξ_k(1-s) (Hartnoll–Yang )