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q-fin.TR2026
Directional Liquidity and Geometric Shear in Pregeometric Order Books
João P. da Cruz
We introduce a structural framework for the geometry of financial order books in which liquidity, supply, and demand are treated as emergent observables rather than primitive marke…
q-fin.TR2026
Pregeometric Origins of Liquidity Geometry in Financial Order Books
João P. da Cruz
We propose a structural framework for the geometry of financial order books in which liquidity, supply, and demand are treated as emergent observables rather than primitive economi…
math-ph2026
Dimensional Constraints from SU(2) Representation Theory in Graph-Based Quantum Systems
João P. da Cruz
We investigate dimensional constraints arising from representation theory when abstract graph edges possess internal degrees of freedom but lack geometric properties. We prove that…