Circuit Theory Based on New Concepts and Its Application to Quantum Theory

20. Application of Analog Transmission Circuit Theory to Gauge Theory of Quantum Physics

Abstract

The strong and weak interactions in quantum theory represent the physical phenomena that bind quanta. We attempt to apply impedance matching that represents the connection of circuit elements in analog circuit theory to these interactions. The interactions in quantum theory are related to the phase in gauge theory. The phase can be given to the connected state of circuit elements using cascade matrices, which can determine the phase of circuits. We show that asymmetric LC ladder circuits are suitable for representing the interactions of quanta in terms of the phase as well as the quantized wave equations. We also show that the equivalent circuits for the connection of quarks and gluons can be represented as LC ladder circuits.