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The Cauchy-Riemann equations have a simple expression in terms of the vector derivative, and the geometric algebra form generalises to higher dimensions, recovering the Maxwell and Dirac equations in spacetime.

The Cauchy-Riemann equations have a simple expression in terms of the vector derivative, and the geometric algebra form generalises to higher dimensions, recovering the Maxwell and Dirac equations in spacetime.

22 Feb 2015: MIT2 2003 25. Maxwell Equations• Assume no magnetisation and polarisation. effects and revert to natural units• Maxwell equations become, in GA form. • ... Analytic Functions. Spacetime Vector Derivative. Maxwell Equations. STA Form. Application.

17 Dec 2020: expression in terms of the vector derivative, and the geometric algebra form generalises to higher dimensions, recovering the Maxwell and Dirac equations in spacetime.

Lectures take place in the new Maxwell Centre in West Cambridge.

1 Nov 2016: Three dimensions. L6 S7. Maxwell equations in vacuum around sources and currents, in natural units. ... Remove the curl term via. Find. All 4 of Maxwell’s equations in 1!

1 Nov 2016: Remove the curl term via. Find. All 4 of Maxwell’s equations in 1! ... Or. So. Recall Faraday bivector. So finally. Unification. The most compact formulation of the Maxwell equations.

22 Feb 2015: vector derivative• Same as the Maxwell equation, so similar. propagator structure• Electromagnetic coupling from gauge.

14 Oct 2015: Analytic functions. • Unifying Maxwell’s equations. • Projective and conformal.

14 Oct 2015: Rotations in arbitrary dimensions. Lorentz transformations. Lie groups. Analytic functions. Unifying Maxwell’s equations.