Mill's Constant as an Information Singularity
Year: 2025
Type: article
Abstract: This heuristic essay proposes a novel philosophical interpretation of Mill’s constant A as a mathematical black hole—an information singularity that emits prime numbers much like Hawking radiation. By drawing parallels between prime prediction, black hole event horizons, and epistemic boundaries, this piece aims to redefine A as a structure visible only to a cosmic observer. It questions the knowability of constants whose definition requires future data, and suggests a new angle: what if A is the observer’s shadow—always ahead, never within reach?
Author: 上田, 高之
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6911885807
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