I think it is reasonable to believe I have found a way to unify gravity with the forces of electromagnetism, the weak and strong forces in a way that can been quantized. Only unloved math tools are used. The problem is a puzzle to be solved, not a math problem so difficult only a few folks at the Institute for Advanced Study to understand. At the core is the action, shown here, which requires both quaternions and hypercomplex multiplication (indicated by the box-times), keeping only the scalar. My paper is here ( Mathematica notebook, html, or pdf)
For free: Doing Physics with Quaternions (much of this site, 156 pages), Lectures on Dynamic Graphs and Unified Field Theory (75 pages).
A few good papers:
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