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The central aim is to prove the mathematical core of the transport principle in Clifford algebras, focusing on the division by null vectors.

August 3, 2026Open Access

The Transport Principle: Total Division in Clifford Algebras via Minimal Completion

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This note proves a no-go theorem, presents a unique minimal completion, and explores implications for geometry.

The central aim is to prove the mathematical core of the transport principle in Clifford algebras, focusing on the division by null vectors.
Proved a no-go theorem regarding the failure of division by null vectors in any algebra enlargement.
Established a geometric reciprocal extension on the null cone of the completed algebra Cl(p+1,q+1).
Presented a uniqueness theorem showing that the signature increment required is (+1,+1).
Demonstrated that no extension allows a symmetry-respecting pseudo-inverse for null vectors.
Achieved a total, continuous extension for the geometric reciprocal on the null cone.
Establish uniqueness of minimal completion with specific signature increments.

Leon Butler (2026) studied this question.

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