willj.dev / geometric-universe / Geometric Physics

This is a formulation of both modern physics “paradigms” (general relativity and quantum field theory) in the language of geometric algebra. These are usually taught as being famously “un-unitable”, but that conception can be avoided if we treat the process of renormalization as an important algebraic feature in its own right, which can be given an equally important physical interpretation. The idea is to interpret renormalization representing nothing less than the connection between the “wave picture” of QFT and the “particle picture” of general relativity;

(what about strings? if ads/cft is right, maybe the study of string theories can reveal things about the corresponding cft!)

The Global Scalelink

The Particle Modellink

Special Relativitylink

The Local Scalelink

The Field Modellink

Gauge Invariancelink

Quantum Field Theorylink

Gauge Theory of Gravitylink

Renormalizationlink

The Statistical Interpretation and “Hidden Variables”link

Breaking the Global Scale Symmetrylink

The Structure Spectrumlink