Saurav Dwivedi

I work on foundations of fundamental theories of physics. Physical theories evolve as long as physical theorist evolves. Theories evolve from singular, divergent, commutative, associative, continuous, non-local, non-generic, unstable, fragile to regular, convergent, non-commutative, non-associative, atomized, local, generic, stable and robust ones. This process of theory evolution was termed regularization. A regular theory has lower mortality rate than its singular limit, that it evolves from. Regular theories have simple Lie algebras. Algebraic simplification regularizes some singular theories. This heuristic principle is due to Irving Segal, who regularized Heisenberg algebra H(1) to Segal algebra SO(1,2) by simplifying it. Simple Lie algebras have finite dimensional representations. Algebraic simplification can finitize some divergent theories that pervade physics today. Simple (and semi-simple) algebras entail trivial deformations; deforming them results in isomorphic ones. Algebras with trivial deformations are termed robust. Regular theories have robust algebras, which are finite.

I entail finitism as guiding principle in this heuristic quest. A finite theory has upper and/or lower bounds for actions (or a construct within theory). Special relativity has upper bound (c) for an action (or propagation). Quantum theory has lower bound (h) for the action. Both theories entail a (semi) finite construct. Special relativity relativized "time". Quantum theory relativized "states-of-being". Former is a relational (ontic) theory; later is operational (pragmatic). A synthesization of these two entails semantic error. I do not synthesize theories. I look for better ones than those survived.

Finitization by algebraic simplification can relativize and quantize absolutistic physical theories. Physics may be finite; with finite actions, finite predictions, finite precision and finite results.