The Geometric Substrate of Information Entropy: A Lattice-Based Approach to the Landauer Limit Isolating the unit-invariant density modulus 128/9 under a One-π constraint

Key Points

• This research aims to explore the relationship between geometric structures and information entropy, focusing on the Landauer limit.
• Developed a model using lattice structures to analyze information entropy.
• Investigated the unit-invariant density modulus under specific constraints.
• Applied theoretical frameworks to elucidate geometric implications in information theory.
• Identified the density modulus value of 128/9 under a one-pi constraint.
• Demonstrated how lattice-based models contribute to understanding the Landauer limit in information processing.