Sobczyk's simplicial calculus does not have a proper foundation
Alan Macdonald
TL;DR
The paper critiques Sobczyk's simplicial calculus, arguing that its foundational elements, the pseudoscalars, are not properly defined, undermining the validity of the calculus.
Contribution
It identifies fundamental issues in Sobczyk's simplicial calculus, highlighting the lack of proper definition of pseudoscalars and questioning its mathematical foundation.
Findings
Pseudoscalars in Sobczyk's calculus are ill-defined.
The foundational basis of Sobczyk's simplicial calculus is flawed.
The paper challenges the validity of Sobczyk's proposed calculus.
Abstract
The pseudoscalars in Garret Sobczyk's paper \emph{Simplicial Calculus with Geometric Algebra} are not well defined. Therefore his calculus does not have a proper foundation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic and Geometric Analysis · Matrix Theory and Algorithms · Mathematics and Applications