The Collapse of the Hypotenuse Algebraic and Geometric Mechanisms

The question in focus

Examines zero endpoint separation in different geometric settings and distinguishes algebraic, indefinite-metric and curved or multiply connected constructions.

Scope & open questions

• Uses a defined geometric operation rather than asserting that ordinary positive real squares sum to zero.
• Version 5 corrects the spheroid analysis: arbitrary leg ratios require the broader triaxial construction described in the paper.

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