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Everything about Spacetime algebra
Setting of relativistic physics in geometric algebra
In mathematical physics, spacetime algebra (STA) is the application of Clifford algebra Cl1,3(R), or equivalently the geometric algebra G(M4) of physics. Spacetime algebra provides a "unified, coordinate-free formulation for all of relativistic physics, including the Dirac equation, Maxwell equation and general relativity" and "reduces the mathematical divide between classical, quantum and relativistic physics". Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Spacetime algebraA 5-minute orientation
- Skim a recent paper: S -algebra in gauge theory: twistor, spacetime and holographic perspectivesInfluential work since 2022
- Pick up a classic book: Тензорная тригонометрияThe most-reprinted book on the subject
- Read the landmark paper: Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravityCited 141 times
- Go sideways: Gordon decompositionA closely related topic
- Go sideways: Dirac equation in curved spacetimeA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
Spacetime physics with geometric algebra
Imaginary numbers are not real—The geometric algebra of spacetime
GENERALIZING THE NOETHER THEOREM FOR HOPF-ALGEBRA SPACETIME SYMMETRIES
A perturbative approach to Dirac observables and their spacetime algebra
Spacetime algebra as a powerful tool for electromagnetism
States and operators in the spacetime algebra
The Spacetime Algebra Approach to Massive Classical Electrodynamics with Magnetic Monopoles
🆕 Influential since 2022
S -algebra in gauge theory: twistor, spacetime and holographic perspectives
Derivation of the deformed Heisenberg algebra from discrete spacetime
Whittaker modules and quasi-Whittaker modules for the Schrödinger algebra in (2 + 1)-dimensional spacetime
ON SPACETIME ALGEBRA AND ITS RELATIONS WITH NEGATIVE MASSES
An extension of quaternionic metrics to octonions in a non-Riemannian spacetime: Including Yang–Mills-like fields within a division octonion algebra
📚 Books worth reading
Тензорная тригонометрияNinul Anatoly Sergeevich · 2004
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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