QNFO Research

The Ultrametric Bridge Theorem: Conditional Quantum States Under Global Constraints Necessarily Form Ultrametric Hierarchies

We prove that under a global constraint of the form $\hat{H}|\Psi\rangle = 0$ (the Wheeler-DeWitt equation), conditional quantum states produced by the Page-Wootters mechanism $|\psi(\tau)\rangle_R = \langle\tau|_C |\Psi\rangle_{CR}$ naturally organize into an ultrametric hierarc...

Quantum Laws of Form: Consolidation, Open Questions, and Extensions

George Spencer-Brown's Laws of Form (1969) proposed that the act of drawing a distinction is the primitive operation from which logic, mathematics, and physics can be constructed. This consolidation paper (v2.0) synthesizes the known quantum-Laws-of-Form correspondences — includi...