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Why a second order equation in Clifford algebra can be a serious alternative to the Dirac equation for the relativistic electron.
Chapter Overview
This website is not a product page. It is the opening page of the argument itself. The aim is to give a direct overview of the whole route before the chapter sequence begins.
The website first builds the algebraic and geometric language, then sets the Dirac baseline, then develops the Clifford Globe and the Dot-Wedge Electron Equation, and finally compares both routes directly.
The Central Claim
The central claim is that a Clifford-native second-order route can keep the relativistic core and the spin coupling together in one geometric operator, rather than importing the spin structure only through a first-order matrix formalism.
Dirac baseline
Standard first-order route
The standard benchmark page keeps the gamma-matrix operator, its Clifford/Hestenes reading, the squaring step, and the Foldy-Wouthuysen reduction visible.
Dot-Wedge proposal
Clifford-native second-order route
The website argument is that the Klein-Gordon and Pauli sectors can be written directly in Clifford algebra and then close together as one operator.
How the Argument Unfolds
The website is meant to be read top to bottom, but the left navigation also lets you jump into any part of the route once the overall map is clear.
- Chapters 1 to 4. Build algebra, Clifford algebra, matrix algebra, and Clifford calculus.
- Chapter 4B. Set the Dirac baseline that the later comparison will use.
- Chapters 5A to 5C. Use the Clifford Globe to visualize spacetime, Maxwell, and Schrödinger structure.
- Chapters 6A to 6D. Build the Dot-Wedge equation, the electron current, the Schrödinger limit, and the classical force picture.
- Chapter 7. Compare the Dot-Wedge route against Dirac directly.
Contact
If you want to challenge the construction, compare it against Dirac, or discuss where the multi-particle program should go next, write to me.
Rights and Public Snapshot
© 2026 Henrik Schiller. This website is a public snapshot of the argument and its presentation, with a visible publication date of . The text, figures, animations, custom notation, and website code are original material unless stated otherwise.
- The website is intended to make authorship and timing visible in public.
- Publication does not waive authorship or reuse rights.
- For permissions, citation, and reuse terms, see the dedicated rights page.