The Zero-Infinity Duality Framework (ZIDF) v2 : A Quantum-Algebraic Model of Circular Number Systems

Key Points

• This research aims to develop a formal model utilizing the Zero-Infinity Duality Framework for circular number systems.
• Introduced a symbolic rewrite algebra for formal expressions.
• Defined non-cancellative semantics relevant to circular structures.
• Analyzed circular topology on S¹ and implemented antipodal transport techniques.
• Enhanced understanding of circular number systems through algebraic representations.
• Establish new methodologies for managing non-cancellative semantics.
• Provided a basis for further exploration of quantum-algebraic properties in mathematical frameworks.