a paper about Arithmetic Expression Geometry (AEG), a new way to think about computation, analysis, and geometry
https://onecorner.org/curiosity/aegeom/ β// readme
Arithmetic Expression Geometry
This repository contains the manuscripts, notes, figures, bibliography, and build tooling for the Arithmetic Expression Geometry (AEG) research programme. AEG studies arithmetic expressions through their ordered evaluation histories rather than only through final numerical values.
The active manuscript series is now:
Arithmetic Expression Geometry 0
Arithmetic Expression Spaces: Expansion and Motion, Eikonal Equation, Horocycle Pullbacks, Commutativization, Contact Structure, and Tearing
Arithmetic Expression Geometry I: Foundations
Sequential Histories, Projective Semantics, and Zero Geometry
Arithmetic Expression Geometry II: Hyperbolic Real Function Theory
Horizontal Operators, Boundary Problems, and Arithmetic Holomorphicity
Arithmetic Expression Geometry III: Singular Zero Geometry and Tubes
Branched Pullbacks, Arithmetic Zero Networks, and Topological Transport
Arithmetic Expression Geometry IV: Projective Condensation and Computational Complexity
From Histories and Quotients to Representation and Cost
**Arithmetic Expression Geometry V: Triadic Characteristics andβ¦