CHAPTER 6Epilogue as Prologue

Motto: In most sciences, one generation tears down what another has built. In mathematics alone, each generation builds a new storey to the old structure.

- Haenkel, 1869

1. Can We Unify the Concepts of Power in Circuits and Energy-momentum in Electromagnetic Fields?

The classical theory of power in AC circuits is incompatible with the classical theory of electromagnetic fields. The antinomy resides in different axiomatic definitions of power as active, reactive, and apparent power in electrical circuits, and as energy-momentum in electromagnetic fields.

The present investigation started from the assumption that there is a mathematical similarity between Steinmetz’s expression of complex power in circuits and ...

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