Can Geometric Algebra Solve the Errors in Modern Physics Theory?

Michael Costello
I am a retired Physicist (Ph.D. U of NM 1977 in Astrophysics) who has spent most of his working life as a systems engineer and computer modeler. I now video conference Fridays with 4 friends to talk about the things we learned to calculate in grad school, but were never quite got the reason why. Don't understand Quantum Mechanics? Shut up and calculate! seemed to be the prevailing answer. We have decided to call ourselves the SIGNOMI. Signomi is a Greek word usually translated as 'excuse me', but is from syn (with) and gnosis (knowledge) so it really means 'can we put our knowledge together' or 'will you share your knowledge with me'? Currently I am looking at what I consider to be an inherent error in modern Physics theory, inadequate mathematics. The proper math we should be using is, I believe, Geometric Algebra, sometimes called Clifford Algebra. GA is coordinate independent. While you do put in coordinates, at the end, in order to calculate a numerical result, the algebraic results of GA are not affected by coordinate singularities, such as the event horizon around a black hole.
 
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Hello everyone, I was advised to join this community while seeking guidance on how to navigate the academic world as an independent researcher. My name is Omar, and I'm based in Groningen The Netherlands. My formal physics education ended after high school, but I have dedicated the last several years to developing a theoretical framework from first principles. My work focuses on a topological field theory (which I call Swirl-String Theory) that models particles as knotted vortex...
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