# The Genesis of Geometric Algebra: A Personal Retrospective

@article{Hestenes2017TheGO, title={The Genesis of Geometric Algebra: A Personal Retrospective}, author={David Hestenes}, journal={Advances in Applied Clifford Algebras}, year={2017}, volume={27}, pages={351-379} }

Even today mathematicians typically typecast Clifford Algebra as the “algebra of a quadratic form,” with no awareness of its grander role in unifying geometry and algebra as envisaged by Clifford himself when he named it Geometric Algebra. It has been my privilege to pick up where Clifford left off—to serve, so to speak, as principal architect of Geometric Algebra and Calculus as a comprehensive mathematical language for physics, engineering and computer science. This is an account of my…

## 13 Citations

### Some Applications of Clifford Algebra in Geometry

- MathematicsStructure Topology and Symplectic Geometry
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In this chapter, we provide some enlightening examples of the application of Clifford algebra in geometry, which show the concise representation, simple calculation, and profound insight of this…

### Clifford Algebra and Hypercomplex Number as well as Their Applications in Physics

- MathematicsJournal of Applied Mathematics and Physics
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The Clifford algebra is a unification and generalization of real number, complex number, quaternion, and vector algebra, which accurately and faithfully characterizes the intrinsic properties of…

### Quantum Gravity in the Fano Plane

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The argument that modern string theory has become lost in math is compelling, controversial, and ever more timely. A perspective arguably of equal compulsion takes the view that the math is just…

### A Geometric Algebra Solution to Wahba's Problem

- MathematicsArXiv
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GA proves to be a natural backdrop for this problem involving three-dimensional rotations due to the isomorphism between unit-length quaternions and rotors.

### Naturalness Begets Naturalness: an Emergent Definition

- Mathematics
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We offer a model based upon three `assumptions'. The first is geometric, that the vacuum wavefunction is comprised of Euclid's fundamental geometric objects of space - point, line, plane, and volume…

### Advances of the New Century: It’s All About the Wavefunction

- Physics
- 2018

The 2018 Physics Today essay competition invites participants to identify a ‘signiﬁcant advance’ in his or her ﬁeld since the millennium that deserves wider recognition among non-experts, and to…

### Introducing Geometric Algebra to Geometric Computing Software Developers: A Computational Thinking Approach

- Computer ScienceArXiv
- 2017

This article provides a high-level introduction to the abstract concepts and algebraic representations behind the elegant GA mathematical structure with sufficient references for more details.

### Powers of Elliptic Scator Numbers

- MathematicsAxioms
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Elliptic scator algebra is possible in 1+n dimensions, n∈N. It is isomorphic to complex algebra in 1+1 dimensions, when the real part and any one hypercomplex component are considered. It is endowed…

### Validating a Maximally Natural Electromagnetic Model of the Four Forces

- Physics
- 2020

We offer a model based upon three `assumptions': The first is geometric, that the vacuum wavefunction is comprised of Euclid's fundamental geometric objects - point, line, plane, and volume elements,…

### Naturalness Revisited : Spacetime Spacephase

- Physics
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What defines the boundary of a quantum system is phase coherence, not time coherence. Time is the same for all three spatial degrees of freedom in flat 4D Minkowski spacetime. However, in the quantum…

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