5 papers
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…
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…
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…
Asymptotic Vanishing of the Success Probability in Shor's Algorithm
João P. da Cruz
Shor's factoring algorithm guarantees a success probability of at least one half for any fixed modulus N = pq with distinct primes p and q. We show that this guarantee does not ext…
On the multiplicative effect of government spending (or any other spending for that matter)
João P. da Cruz
There is, among the economist ecosystem, the idea of virtuous public spending as a form of promotion of economic growth. If we think on the way GDP is measured, it is not possible…