Resonance-Based Subspace Dynamics, Part 5

This publication is part of the research series“Resonance-Based Subspace Dynamics”. The series investigates how fundamental physical phenomena(particles, interactions, fields, and stability)can be understood as emergent resonance and mode structureswithin a geometrically structured subspace. This publication presents a transition from conceptual theoryto explicit modeling of elementary electromagnetic resonance systems.It is intended for researchers and experimentalists in physicsseeking to connect structural and geometric conceptswith computational and experimental applications. The focus of this contribution is on illustrating how currentscan be interpreted as directed flows of phase-bound resonance modes,using simple LC crossover circuits as practical examples,and demonstrating frequency-dependent mode separationthrough projections and calculations. The abstract of this contribution is given below: Part 5 of the Resonance-Based Subspace Dynamics seriespresents modeling of elementary electromagnetic resonance systems.It illustrates how currents can be interpreted as directed flowsof phase-bound resonance modes and demonstrates thiswith simple and double LC crossover circuits. The publication provides concrete calculations,highlights mode separation through frequency-dependent projections,and proposes a low-threshold experimental setupusing a double-slit interferometer with a phase plate. This work bridges theoretical concepts with computationaland experimental approaches, supporting further explorationin subsequent parts of the series, particularly in applicationsand deeper modeling of subspace dynamics. By connecting geometry, resonance, and electromagnetic behavior,this contribution offers a practical framework for understandingcomplex quantum systems in terms of structural mode dynamics.