Geometric Information: A Paradigm Shift in Energy Conversion Efficiency

This paper introduces a novel concept of information as the logarithm of a countable subset drawn from an uncountable power set, where the countable subset represents “bits” (or mass) and the power set represents the “image” (or structure). Experimentally, the macroscopic deformation of author-related information-bearing materials is reported, showing a physical manifestation of this relationship between information and structure. Theoretically, a multi-directional projection function with floor functions creates directional cuboid volumes, connecting countable information to spatial structures. The observed conversion of information to mechanical energy associated with this deformation displays energy scales much greater than the thermodynamic limits set by Landauer’s Principle for information erasure. This significant increase indicates a potentially different and more efficient mechanism for utilizing the physical consequences of information, suggesting a potential change in the approach to energy transduction.