Abstract

In his seminal Electrical papers, Oliver Heaviside stated ‘We reverse this …' referring to the relationship between energy current and state changes in electrical networks. We explore implications of Heaviside's view upon the state changes in electronic circuits, effectively constituting computational processes. Our vision about energy-modulated computing that can be applicable for electronic systems with energy harvesting is introduced. Examples of analysis of computational circuits as loads on power sources are presented. We also draw inspiration from Heaviside's way of using and advancing mathematical methods from the needs of natural physical phenomena. A vivid example of Heavisidian approach to the use of mathematics is in employing series where they emerge out of the spatio-temporal view upon energy flows. Using series expressions, and types of natural discretization in space and time, we explain the processes of discharging a capacitive transmission line, first, through a constant resistor and, second, through a voltage controlled digital circuit. We show that event-based models, such as Petri nets with an explicit notion of causality inherent in them, can be instrumental in creating bridges between electromagnetics and computing.This article is part of the theme issue ‘Celebrating 125 years of Oliver Heaviside's ‘Electromagnetic Theory’’.

Highlights

  • One contribution of 13 to a theme issue ‘Celebrating 125 years of Oliver Heaviside’s ‘Electromagnetic Theory’’

  • We shall proceed to the use of Petri nets for the modelling of the distributed system associated with the transmission line (TL) and energy current moving in it taking place in the Wakefield experiment [11]

  • More than 125 years ago Oliver Heaviside stated that energy current was the primal standpoint

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Summary

Energy-modulated computing

The question we pose here is: How does energy drive computations? The traditional way of making computers perform calculations is to connect a processor, memory and all the interfaces to the outside world to a power supply. — Capturing energy current that moves in space with speed of light into material form (possibly electric charge in a capacitor) to enable measurement and information processing. Thanks to the two important series that we summed, a geometric series and the power series representing a natural exponential, we have been able to derive the approximation of the step-wise process driven by energy current captured in the space defined by the TL. This process is equivalent to the process of discharging a lumped capacitor of capacitance C through a lumped resistor of resistance R.

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Conclusion
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