A <i>p</i>-Adic Matter in a Closed Universe

In this paper, we introduce a new type of matter that has origin in <i>p</i>-adic strings, i.e., strings with a <i>p</i>-adic worldsheet. We investigate some properties of this <i>p</i>-adic matter, in particular its cosmological aspects. We start with crossing sy...

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Main Author: Branko Dragovich
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/1/73
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author Branko Dragovich
author_facet Branko Dragovich
author_sort Branko Dragovich
collection DOAJ
description In this paper, we introduce a new type of matter that has origin in <i>p</i>-adic strings, i.e., strings with a <i>p</i>-adic worldsheet. We investigate some properties of this <i>p</i>-adic matter, in particular its cosmological aspects. We start with crossing symmetric scattering amplitudes for <i>p</i>-adic open strings and related effective nonlocal and nonlinear Lagrangian which describes tachyon dynamics at the tree level. Then, we make a slight modification of this Lagrangian and obtain a new Lagrangian for non-tachyonic scalar field. Using this new Lagrangian in the weak field approximation as a matter in Einstein gravity with the cosmological constant, one obtains an exponentially expanding FLRW closed universe. At the end, we discuss the obtained results, i.e., computed mass of the scalar <i>p</i>-adic particle, estimated radius of related closed universe and noted <i>p</i>-adic matter as a possible candidate for dark matter.
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spelling doaj.art-96be9b23a515406bb990ed30c7b90a7e2023-11-23T15:33:00ZengMDPI AGSymmetry2073-89942022-01-011417310.3390/sym14010073A <i>p</i>-Adic Matter in a Closed UniverseBranko Dragovich0Institute of Physics, University of Belgrade, 11080 Belgrade, SerbiaIn this paper, we introduce a new type of matter that has origin in <i>p</i>-adic strings, i.e., strings with a <i>p</i>-adic worldsheet. We investigate some properties of this <i>p</i>-adic matter, in particular its cosmological aspects. We start with crossing symmetric scattering amplitudes for <i>p</i>-adic open strings and related effective nonlocal and nonlinear Lagrangian which describes tachyon dynamics at the tree level. Then, we make a slight modification of this Lagrangian and obtain a new Lagrangian for non-tachyonic scalar field. Using this new Lagrangian in the weak field approximation as a matter in Einstein gravity with the cosmological constant, one obtains an exponentially expanding FLRW closed universe. At the end, we discuss the obtained results, i.e., computed mass of the scalar <i>p</i>-adic particle, estimated radius of related closed universe and noted <i>p</i>-adic matter as a possible candidate for dark matter.https://www.mdpi.com/2073-8994/14/1/73<i>p</i>-adic strings<i>p</i>-adic matter<i>p</i>-adic scalar fieldnonlocal cosmologyclosed universe
spellingShingle Branko Dragovich
A <i>p</i>-Adic Matter in a Closed Universe
Symmetry
<i>p</i>-adic strings
<i>p</i>-adic matter
<i>p</i>-adic scalar field
nonlocal cosmology
closed universe
title A <i>p</i>-Adic Matter in a Closed Universe
title_full A <i>p</i>-Adic Matter in a Closed Universe
title_fullStr A <i>p</i>-Adic Matter in a Closed Universe
title_full_unstemmed A <i>p</i>-Adic Matter in a Closed Universe
title_short A <i>p</i>-Adic Matter in a Closed Universe
title_sort i p i adic matter in a closed universe
topic <i>p</i>-adic strings
<i>p</i>-adic matter
<i>p</i>-adic scalar field
nonlocal cosmology
closed universe
url https://www.mdpi.com/2073-8994/14/1/73
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