Why Euler Appears Here
The full TUM document argues that a foundation cannot remain a dead equality. If identity is real, it must be able to express relation, difference, and change without becoming arbitrary. Euler's formula enters because it gathers growth, rotation, number, geometry, and return-to-balance into one form.
Euler's formula is treated as a candidate form for identity that can change without ceasing to be balanced.
Orthogonality: Real Difference Without Conflict
Orthogonality means that two directions or aspects can be genuinely different without collapsing into contradiction. It gives the theory a disciplined way to preserve difference inside unity.
Reality cannot become rich if every difference collapses into sameness. Orthogonality lets the theory preserve distinct aspects within one reality, giving us the definitional concept for a Dual-aspect Monism.