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byandA new calculus, based upon the multivector derivative, is developed for Lagrangian mechanics and field theory, providing streamlined and rigorous derivations of the Euler-Lagrange equations. ... byandWe present a new treatment of 2-spinors and

byandWe present a new treatment of 2-spinors and twistors, using the spacetime algebra.

byandA new calculus, based upon the multivector derivative, is developed for Lagrangian mechanics and field theory, providing streamlined and rigorous derivations of the Euler-Lagrange equations.

As a result, a new and highly compact formula for generating super-Lie algebras is revealed. ... We finish with a discussion of quantization, outlining a new approach to fermionic path integrals.

to a new concept, the multivector Lagrangian.

A principle feature of this thesis is the development of a number of new algebraic techniques which serve to broaden the field of applicability of geometric algebra. ... The ultimate goal of a reformulation is to point the way to new mathematics and

byandA new gauge-theory description of gravity is presented, employing gauge fields in a flat background spacetime.

byandA new gauge-theory description of gravity is presented, employing gauge fields in a flat background spacetime.

byandA new gauge-theoretic approach to gravity is applied to the study of rotating cylindrically-symmetric strings.

Their discoveries were made during a period in which mathematicians were uncovering many new algebraic structures (quaternions, matrices, groups, etc.) and the full potential of Clifford and Grassmann’s work was ... Geometric algebra provides a single,