Supertasks and Numeral Systems

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Abstract

Physical supertasks are completed, infinite sequences of events or interactions that occur within a finite amount of time. Examples thereof have been constructed to show that infinite physical systems may violate conservation laws. It is shown in this paper that this conclusion may be critically sensitive to a selection of numeral system. Weaker numeral systems generate physical reports whose inaccuracy simulates the violation of a conservation law. Stronger numeral systems can confirm this effect by allowing a direct computation of the quantities conserved. The supertasks presented in [2], [4] are used to illustrate this phenomenon from the point of view of the new numeral system introduced in [6].
Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAIP Publishing
Volume1776
DOIs
Publication statusPublished - 21 Oct 2016

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