On the eigenvalues of the Magick Operator
Zenodo (CERN European Organization for Nuclear Research) July 25, 2023 Leonardo C. Olyachim
This paper explores the mathematical properties of an operator M̂, building on prior algebraic work. It focuses on events with two outcomes, labeled |1〉 and |2〉. The eigenvalue problem for M̂ⁿ is considered, and spectral decomposition yields a linear combination representation. The effect of multiple M̂ operators acting on the same state is examined, revealing that if outcomes are uncorrelated or have equal magnitude, the commutator is zero. For multiple intents, the total eigenvalue of an eigenvector equals the product of individual eigenvalues, resembling a superposition-like effect. The order of intents does not matter when generated simultaneously during a probabilistic event. Future directions include analyzing correlation coefficients, decomposing M̂ into infinitesimal operators, and studying dynamical state evolution.