The Underlying Arithmetic of Physics - Matrices or Maxels?

Explore the revolutionary concept that matrices, or their generalized form called "maxels," might serve as the fundamental computational engine underlying all of physics rather than traditional arithmetic systems. Delve into the non-commutative realm of matrix operations and discover how maxel theory liberates matrix mathematics from rigid size constraints, offering new perspectives on analysis and combinatorics. Examine this groundbreaking possibility from multiple viewpoints and understand how maxel theory could provide physicists with a more coherent framework for organizing geometry. Learn about the potential paradigm shift from conventional arithmetic to matrix-based calculations in describing physical phenomena, and gain insights into how this approach might reshape our understanding of the mathematical foundations of physics.