Geometrization (countable and uncountable, plural geometrizations): The use of geometrical concepts and techniques in a different field of study, or the process of making something geometrical. (mathematics) The description of a space as a geometry. — Wiktionary

This is just a vague idea that popped into my head but I want to throw it out there to get some feedback and to check whether it merits further study or not.

My physics is high-school level so the most complex equation I encountered involved the second power i.e. equations that had raising a quantity to the power of 2 [squaring]. So, you won't see any equations that anyone with basic math knowledge can't handle.

Let's dive in:

pi = 3.141569...

Equation 1
Force = mass * acceleration [F = m * a]
Geometrization: This is basically a rectangle with an area = m * a where m and a are the length and the width

Equation 2
Energy = mass * (speed of light)^2 [E = m * c^2]
Geometrization 1: This is cuboid with a volume = m * c^2 with one side length m and the other two sides both length c.

Geometrization 2: You can always factor out pi from m and then E = (m/pi) * (pi) * c^2 and you get the volume of a cylinder with a radius c and height (m/pi)

Equation 3
Gravitational force = Gravitational constant * (mass of one object * mass of second object)/(distance between these objects)^2 [F = (G * (m1 * m2))/r^2

Geometrization:F * r^2 = G * (m1 * m2) = (F/pi) * pi * r^2 = G * (m1 * m2)
This is basically asserting that a cylinder with height (F/pi) and radius r has the same volume as a cuboid with lengths G, m1 and m2

Can we take this idea, run with it and reduce, in a manner of speaking, all science to geometry?