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Theoretical Universe
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Table of Contents:
Licence
How to cite
How to contribute
Resources
The Cartan-Hodge formalism
Basis vectors
Musicality
Hodge duality
Free matrix representation
Minkowski metric
Rotations in differential form
Rotations in Euclidean space
Rotations in Minkowski space
Differential operators expressed as exterior derivatives
3–dimensional Euclidean space
Minkowski space
0–forms (functions)
1–forms (translations)
2–forms (rotations)
3–forms (3D volumes)
4–forms (4D volumes)
The electromagnetic field tensor
Deriving the Faraday Tensor from the 1865 Maxwell’s Equations
Maxwell’s Equations via Differential Forms
Potential Formulation via Differential Forms
All Electromagnetic Field Tensors
Random Ttoughts
Proving De Gua’s theorem with Clifford algebra
Index