Non-commutativeworlds and classical constraints

Standard

Non-commutativeworlds and classical constraints. / Kauffman, Louis H.

In: Entropy, Vol. 20, No. 7, 483, 01.07.2018, p. 1-25.

Research output: Contribution to journal › Article › peer-review

Harvard

Kauffman, LH 2018, 'Non-commutativeworlds and classical constraints', Entropy, vol. 20, no. 7, 483, pp. 1-25. https://doi.org/10.3390/e20070483

APA

Kauffman, L. H. (2018). Non-commutativeworlds and classical constraints. Entropy, 20(7), 1-25. [483]. https://doi.org/10.3390/e20070483

Vancouver

Kauffman LH. Non-commutativeworlds and classical constraints. Entropy. 2018 Jul 1;20(7):1-25. 483. doi: 10.3390/e20070483

Author

Kauffman, Louis H. / Non-commutativeworlds and classical constraints. In: Entropy. 2018 ; Vol. 20, No. 7. pp. 1-25.

BibTeX

@article{1a4a21a22e3c4c849d6b55ed9816e313,

title = "Non-commutativeworlds and classical constraints",

abstract = "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.",

keywords = "Bianchi identity, Commutator, Constraints, Curvature tensor, Diffusion constant, Discrete calculus, Iterant, Kilmister equation, Levi-Civita connection, MAXWELL EQUATIONS, diffusion constant, iterant, TIME, constraints, commutator, SPACE, discrete calculus, FEYNMANS PROOF, DISCRETE PHYSICS, QUANTUM-MECHANICS, curvature tensor",

author = "Kauffman, {Louis H.}",

note = "Publisher Copyright: {\textcopyright} 2018 by the author.",

year = "2018",

month = jul,

day = "1",

doi = "10.3390/e20070483",

language = "English",

volume = "20",

pages = "1--25",

journal = "Entropy",

issn = "1099-4300",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "7",

}

RIS

TY - JOUR

T1 - Non-commutativeworlds and classical constraints

AU - Kauffman, Louis H.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - 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.

AB - 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.

KW - Bianchi identity

KW - Commutator

KW - Constraints

KW - Curvature tensor

KW - Diffusion constant

KW - Discrete calculus

KW - Iterant

KW - Kilmister equation

KW - Levi-Civita connection

KW - MAXWELL EQUATIONS

KW - diffusion constant

KW - iterant

KW - TIME

KW - constraints

KW - commutator

KW - SPACE

KW - discrete calculus

KW - FEYNMANS PROOF

KW - DISCRETE PHYSICS

KW - QUANTUM-MECHANICS

KW - curvature tensor

UR - http://www.scopus.com/inward/record.url?scp=85050306149&partnerID=8YFLogxK

U2 - 10.3390/e20070483

DO - 10.3390/e20070483

M3 - Article

C2 - 33265573

AN - SCOPUS:85050306149

VL - 20

SP - 1

EP - 25

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 7

M1 - 483

ER -

ID: 15966269