Matches in SemOpenAlex for { <https://semopenalex.org/work/W2336718775> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2336718775 abstract "Arithmetic operations (addition, subtraction, multiplication, division), as well as the calculus they imply, are non-unique. The examples of four-dimensional spaces, $mathbb{R}_+^4$ and $(-L/2,L/2)^4$, are considered where different types of arithmetic and calculus coexist simultaneously. In all the examples there exists a non-Diophantine arithmetic that makes the space globally Minkowskian, and thus the laws of physics are formulated in terms of the corresponding calculus. However, when one switches to the `natural' Diophantine arithmetic and calculus, the Minkowskian character of the space is lost and what one effectively obtains is a Lorentzian manifold. I discuss in more detail the problem of electromagnetic fields produced by a pointlike charge. The solution has the standard form when expressed in terms of the non-Diophantine formalism. When the `natural' formalsm is used, the same solution looks as if the fields were created by a charge located in an expanding universe, with nontrivially accelerating expansion. The effect is clearly visible also in solutions of the Friedman equation with vanishing cosmological constant. All of this suggests that phenomena attributed to dark energy may be a manifestation of a miss-match between the arithmetic employed in mathematical modeling, and the one occurring at the level of natural laws. Arithmetic is as physical as geometry." @default.
- W2336718775 created "2016-06-24" @default.
- W2336718775 creator A5047703180 @default.
- W2336718775 date "2016-04-20" @default.
- W2336718775 modified "2023-09-27" @default.
- W2336718775 title "Dark energy as a manifestation of nontrivial arithmetic" @default.
- W2336718775 cites W1904989424 @default.
- W2336718775 cites W2301878326 @default.
- W2336718775 cites W3099209149 @default.
- W2336718775 cites W3148570981 @default.
- W2336718775 hasPublicationYear "2016" @default.
- W2336718775 type Work @default.
- W2336718775 sameAs 2336718775 @default.
- W2336718775 citedByCount "2" @default.
- W2336718775 countsByYear W23367187752018 @default.
- W2336718775 countsByYear W23367187752020 @default.
- W2336718775 crossrefType "journal-article" @default.
- W2336718775 hasAuthorship W2336718775A5047703180 @default.
- W2336718775 hasBestOaLocation W23367187751 @default.
- W2336718775 hasConcept C102966492 @default.
- W2336718775 hasConcept C111919701 @default.
- W2336718775 hasConcept C114614502 @default.
- W2336718775 hasConcept C118615104 @default.
- W2336718775 hasConcept C127413603 @default.
- W2336718775 hasConcept C136119220 @default.
- W2336718775 hasConcept C184264201 @default.
- W2336718775 hasConcept C199343813 @default.
- W2336718775 hasConcept C202444582 @default.
- W2336718775 hasConcept C206530611 @default.
- W2336718775 hasConcept C2777686260 @default.
- W2336718775 hasConcept C2778572836 @default.
- W2336718775 hasConcept C2780595030 @default.
- W2336718775 hasConcept C33923547 @default.
- W2336718775 hasConcept C40621787 @default.
- W2336718775 hasConcept C41008148 @default.
- W2336718775 hasConcept C529865628 @default.
- W2336718775 hasConcept C555856410 @default.
- W2336718775 hasConcept C68060419 @default.
- W2336718775 hasConcept C71924100 @default.
- W2336718775 hasConcept C78519656 @default.
- W2336718775 hasConcept C94375191 @default.
- W2336718775 hasConceptScore W2336718775C102966492 @default.
- W2336718775 hasConceptScore W2336718775C111919701 @default.
- W2336718775 hasConceptScore W2336718775C114614502 @default.
- W2336718775 hasConceptScore W2336718775C118615104 @default.
- W2336718775 hasConceptScore W2336718775C127413603 @default.
- W2336718775 hasConceptScore W2336718775C136119220 @default.
- W2336718775 hasConceptScore W2336718775C184264201 @default.
- W2336718775 hasConceptScore W2336718775C199343813 @default.
- W2336718775 hasConceptScore W2336718775C202444582 @default.
- W2336718775 hasConceptScore W2336718775C206530611 @default.
- W2336718775 hasConceptScore W2336718775C2777686260 @default.
- W2336718775 hasConceptScore W2336718775C2778572836 @default.
- W2336718775 hasConceptScore W2336718775C2780595030 @default.
- W2336718775 hasConceptScore W2336718775C33923547 @default.
- W2336718775 hasConceptScore W2336718775C40621787 @default.
- W2336718775 hasConceptScore W2336718775C41008148 @default.
- W2336718775 hasConceptScore W2336718775C529865628 @default.
- W2336718775 hasConceptScore W2336718775C555856410 @default.
- W2336718775 hasConceptScore W2336718775C68060419 @default.
- W2336718775 hasConceptScore W2336718775C71924100 @default.
- W2336718775 hasConceptScore W2336718775C78519656 @default.
- W2336718775 hasConceptScore W2336718775C94375191 @default.
- W2336718775 hasLocation W23367187751 @default.
- W2336718775 hasOpenAccess W2336718775 @default.
- W2336718775 hasPrimaryLocation W23367187751 @default.
- W2336718775 hasRelatedWork W1634303594 @default.
- W2336718775 hasRelatedWork W1708782451 @default.
- W2336718775 hasRelatedWork W1985023588 @default.
- W2336718775 hasRelatedWork W2038821391 @default.
- W2336718775 hasRelatedWork W2054396765 @default.
- W2336718775 hasRelatedWork W2055598388 @default.
- W2336718775 hasRelatedWork W2062210275 @default.
- W2336718775 hasRelatedWork W2167389819 @default.
- W2336718775 hasRelatedWork W2267250197 @default.
- W2336718775 hasRelatedWork W2280064472 @default.
- W2336718775 hasRelatedWork W2549258264 @default.
- W2336718775 hasRelatedWork W2579770048 @default.
- W2336718775 hasRelatedWork W2799881832 @default.
- W2336718775 hasRelatedWork W2952393260 @default.
- W2336718775 hasRelatedWork W2980907638 @default.
- W2336718775 hasRelatedWork W3104474545 @default.
- W2336718775 hasRelatedWork W3123646496 @default.
- W2336718775 hasRelatedWork W572625259 @default.
- W2336718775 hasRelatedWork W2088587911 @default.
- W2336718775 hasRelatedWork W34787229 @default.
- W2336718775 isParatext "false" @default.
- W2336718775 isRetracted "false" @default.
- W2336718775 magId "2336718775" @default.
- W2336718775 workType "article" @default.