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Formal analysis examines thermodynamic costs of information in physical reality, suggesting limits to infinity's validity.
This paper examines the physical validity of infinity through the lens of Landauer's Principle and the Law of Conservation of Energy. It provides a formal analysis of the thermodynamic costs associated with maintaining information (defined as difference) and discusses the implications for the Continuum Hypothesis and physical computation.
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Yuya Saito (2026) studied this question.
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