History and Philosophy of Physics

    

The Lost Geometric Language of the Wavefunction

Authors: Peter Cameron

This essay explores a historical question: did twentieth-century physics gain extraordinary predictive power at the cost of losing a unified geometric language? It traces the development of Grassmann's exterior algebra and Clifford's geometric algebra, their eclipse during the rise of vector analysis, and the subsequent evolution of relativity, quantum mechanics, and gauge theory. This change in mathematical language also changed the direction in which theoretical physics sought explanation—from beginning with geometry and asking how physical law emerges, to beginning with physical law and deriving wavefunctions as solutions of field equations. It concludes by suggesting that recovering the geometric representation of the vacuum wavefunction may reopen a complementary bottom-up tradition in theoretical physics.

Comments: 9 Pages.

Download: PDF

Submission history

[v1] 2026-08-25 12:46:38

Unique-IP document downloads: 0 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus