On the Limits of the Curvature Radius in Central Projection — The Cases R → ∞ and R → 0

Key Points

• The aim is to examine the geometric behavior of central projection as the curvature radius approaches infinity and zero.
• Analysis of curvature radius limits in central projection framework
• Construction of subjective spaces based on geometric principles
• Evaluation of structural tension between geodesic deviation and local curvature
• Both limits R → ∞ and R → 0 exhibit geometric regularity
• A structural tension arises at R → 0, concerning geodesic deviation and curvature
• A nested structure of subjective spaces is constructible, providing a resolution to the tension

Abstract