Redefining Information: A Quantized Approach to Information Flow in Superconductors

This study proposes a novel physical framework for defining information as a quantized field within quantum superconductivity, introducing the concept of "informanons"—discrete matter waves associated with Cooper pairs in superconductors below their critical temperature. A new wave equation is derived to describe the dynamics of this information field in a temperature-entropy space, establishing a paradigm termed "digital quantum mechanics" distinct from conventional "analog quantum mechanics." This framework reinterprets information flow, challenging traditional probabilistic interpretations of wavefunctions and eliminating wavefunction collapse. An entropic model for quantum memory reveals an inverse-square relationship between memory capacity and stored information, suggesting superconductors enable ultra-high-density storage through quantum information compression. The findings bridge classical information theory and quantum mechanics, offering transformative implications for quantum computing and communication. While theoretical, the framework requires experimental validation to confirm informanon properties and explore applications in quantum systems.