Einstein–Maxwell Models Mathematics

These prerequisite pages specify oriented Lorentzian fields, observers and coordinate conventions, together with the conversion between SI and geometrized Einstein–Maxwell parameters. They distinguish geometric quantities from their coordinate components, and make the units and normalization conventions explicit. These definitions support the particle-mechanics framework without treating a mathematical change of notation as an empirical assertion. The worked companions illustrate the same conventions in concrete settings and keep every required hypothesis visible.

Each main page introduces the objects and assumptions needed for its results, with links to the prerequisites used in the exposition. Its examples companion gives concrete calculations, limiting cases or counterexamples that clarify those hypotheses. Follow prerequisite links when a definition or earlier result is needed, and read the stated scope alongside each conclusion. Local statements distinguish assumptions from deductions and keep the conventions used in calculations visible. The page list below provides entry points into the subject; the order follows the planned progression from foundational definitions to the later applications.

• Oriented Lorentzian fields, observers and coordinate conventions
• SI and geometrized Einstein–Maxwell parameters