Аннотация
This paper reviews results about discrete physics and non-commutative worlds and explores further the structure and consequences of constraints linking classical calculus and discrete calculus formulated via commutators. In particular, we review how the formalism of generalized non-commutative electromagnetism follows from a first order constraint and how, via the Kilmister equation, relationships with general relativity follow from a second order constraint. It is remarkable that a second order constraint, based on interlacing the commutative and non-commutative worlds, leads to an equivalent tensor equation at the pole of geodesic coordinates for general relativity.
Язык оригинала | английский |
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Номер статьи | 483 |
Страницы (с-по) | 1-25 |
Число страниц | 25 |
Журнал | Entropy |
Том | 20 |
Номер выпуска | 7 |
DOI | |
Состояние | Опубликовано - 1 июл 2018 |