Instead of adopting an observer-dependent geometry and enforcing physical laws that appear to fit observation, we construct an observer-independent geometry with accompanying field equations that guarantee nilpotent interactions, from which physical laws naturally emerge; laws that are, as expected, consistent with empirical experience.
Geometry + Field Equations $\mathbf\longrightarrow$ Emergent Physical Laws | ||||
$\mathrm{R(3)SO(3)}$ | + | \( \mathcal{M}(\nu, \psi, \phi) \;:=\begin{cases} \nu =\frac{\displaystyle \psi\cross\phi}{\displaystyle \psi\vdot\psi}, \\[7pt] \psi=\frac{\displaystyle \phi\cross\nu}{\displaystyle \nu\vdot\nu}, \\[7pt] \phi= \nu \cross \psi \end{cases} \) |
$\longrightarrow$ | EM-Quantised topological solitons, Quantum mechanics, Gravity, Relativity, Atomic structures, and more. |
These webpages document the ongoing effort to define a unified field theory from first principles grounded in geometry and field equations with emergent physical laws that quantise space, structure flux, and define solitonic dynamics. Comments, critique, collaboration and support are warmly invited.
Activity Summary