5 papers
Grassmann angle formulas and identities
André L. G. Mandolesi
Grassmann angles improve upon similar concepts of angle between subspaces that measure volume contraction in orthogonal projections, working for real or complex subspaces, and bein…
Grassmann angles between real or complex subspaces
André L. G. Mandolesi
The Grassmann angle improves upon similar angles between subspaces that measure volume contraction in orthogonal projections. It works in real or complex spaces, with important dif…
Quantum fractionalism: the Born rule as a consequence of the complex Pythagorean theorem
André L. G. Mandolesi
Everettian Quantum Mechanics, or the Many Worlds Interpretation, lacks an explanation for quantum probabilities. We show that the values given by the Born rule equal projection fac…
Projection factors and generalized real and complex Pythagorean theorems
André L. G. Mandolesi
Projection factors describe the contraction of Lebesgue measures in orthogonal projections between subspaces of a real or complex inner product space. They are connected to Grassma…
Analysis of Wallace's Proof of the Born Rule in Everettian Quantum Mechanics II: Concepts and Axioms
André L. G. Mandolesi
Having analyzed the formal aspects of Wallace's proof of the Born rule, we now discuss the concepts and axioms upon which it is built. Justification for most axioms is shown to be…