Pythagorean form of thermodynamics and mechanics

The work develops a novel algebraic framework based on the Lagrange identity, providing a consistent set of dimensionally accurate equations across mechanics, gravity, thermodynamics and quantum mechanics put of pure boredom. The derivations are algebraically as well as dimensionally consistent. The author acknowledges not having the institutional scaffolding and resources and invites collaboration. Or use as long as cited appropriately. Interesting case that connects to Einstein Cartan Theory and Spin-Spin forces in non-Euclidean space. What is interesting is that it could serve as a self consistency check for GR and the planck-scale. The only interesting part is how consistent there forms themselves are. And the work is great in showing why planck-lengths and SI-units should not be mixed up but kept track of. Physics can be relational, desirable to a finitist, but this comes at the cost of ever more tautologies and ultimately gives us no new insights, or does it? According to books it should not be done that way. So why continue with the substitutions and tautologies? They give us some novel definitions, that we elsewise wouldn't have arrived at like the De Broglie wavelength in purely mechanical-terms. This might sound insane, but this is actually enabling us to derive an Einstein-QM-Field-Equation and moreover shows through rewriting Newtons-Force-Law, that the force between two masses also depends on the quantum-state of the system.