Technical note

Equation Rendering Reference

A math-heavy explanatory page for checking static KaTeX rendering and mobile equation overflow behavior.

This page is a rendering reference. The formulas are common notation examples used to exercise the website math pipeline; they are not new AEther Flow research claims.

E=mc2E = mc^2
A compact energy relation used here as a rendering fixture.
2ut2=c22u\frac{\partial^2 u}{\partial t^2} = c^2 \nabla^2 u
A standard wave equation form used to verify subscripts and partial derivatives.
Gμν+Λgμν=8πGc4TμνG_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}
A tensor-index expression used to verify longer display equations on narrow screens.
Z(β)=i=1neβEiZ(\beta) = \sum_{i=1}^{n} e^{-\beta E_i}
A finite summation and exponential expression used to verify mixed inline-scale symbols.

The quality requirement is practical: equations must build statically, remain readable on small screens, and preserve visible claim status.