Tag
Physics
Physics supplies most of the questions that the mathematics on this site was built to answer, and a good deal of the intuition for the answers. The recurring theme is that a physical law is usually a statement about a geometric object, and that choosing coordinates early hides it. Writing here covers mechanics, gauge theory, relativity and gravitation, and prefers the formulation in which the symmetry is visible.
Blog
July 29, 2026
A High School Student's Introduction to Physics
Physics built from arithmetic, assuming nothing beyond addition and subtraction. The number systems and the equals sign, then units, then the affine space of positions, then the geometric product forced by the demand that a vector square to its own length. The calculus is constructed on the way, with the limit stated in full and the derivative defined by Caratheodory's slope function. In the geometric algebra of the plane: the kinematic formulas derived as a corollary of integrating a constant, centripetal acceleration by differentiating a rotor twice, the harmonic oscillator's cosine proved rather than announced, angular momentum as a conserved bivector with Kepler's equal areas as its consequence, and work and energy as the fundamental theorem along a path.
April 17, 2026
Interstellar: a brane-bulk reading
A physics reading of Nolan's Interstellar (2014) in which Kerr geometry, Randall-Sundrum II brane-bulk coupling, and M-theory singularity resolution collapse the film's apparent plot holes into consequences of one maintained parameter: Gargantua's spin.
March 25, 2026
Reservoir Geometry: Riemannian Manifolds in Oil and Gas
Darcy's law recast as geodesic flow on a Riemannian manifold, pressure diffusion as the Laplace-Beltrami equation, and permeability tensor interpolation via SPD geodesics, with no_std Rust for embedded well-site monitoring.