Proof of the Non-Existence of Infinity: Thermodynamic and Informational Constraints on Physical Reality

Key Points

• This examination aims to explore the concept of infinity within physical reality through thermodynamic principles.
• Analyzed thermodynamic implications of Landauer's Principle.
• Investigated the Law of Conservation of Energy in relation to information maintenance.
• Discussed effects on the Continuum Hypothesis and physical computation.
• Established that maintaining information has thermodynamic costs.
• Suggested that these costs impose limits on the concept of infinity.
• Implications for physical computation indicate finite constraints.