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Derive Maxwell and More: Group theory, spin, and a new dynamic metric solution 4 of 4

1,890 views · Published 29 January 2011 · 32:17 · Indexed 18 October 2026

Channel: Doug Sweetser · 2011 · Science & Technology

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Day 1 of the Animating New Physics project, an Independent Activities Period at MIT event done independently by The Stand-Up Physicist Doug Sweetser, class of '84.

This 32 minute video gives a sketch of the group theory that appears in the standard model and my unified standard model proposal called GEM.  The subtle issue of spin is outlined using both quaternions and hypercomplex numbers.  A metric solution to the G field equations is shown that is consistent with weak field tests of gravity, but is different from general relativity.

Tell God what to say using high school math (can you factor B2 - E2?) packaged in an old and unfamiliar way known as quaternions. Applying the Euler-Lagrange equations to this Lagrangian (about as tough as a Sudoku puzzle), the Maxwell equations will be derived. The derivation will be repeated with an even less popular rule for spacetime multiplication, one with no minus signs at all, leading to field equations for gravity. Combine these two, and the result unifies gravity with the other three forces of Nature but without the Higgs. The Lagrangian and field equations all fit on a t-shirt.

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