Companion C: 5D-to-1D Reduction Notes — Geometry, Scales, and Canonical

Key Points

• The aim is to consolidate conventions for reducing 5D geometries to effective 1D variables, minimizing ambiguity.
• Consolidated definitions of length scales and sign conventions.
• Clarified distinctions between baseline, deduced, and postulated variables.
• Documented the reduction process from 5D structures to effective variables.
• Provided a clear methodology for 5D-to-1D reduction.
• Established a stable citation framework for the geometric and scaling conventions.
• Reduced ambiguity in defining dimensional hierarchies.