A Hybrid Euclidean-Lorentzian Universe

Asher Yahalom
{"title":"A Hybrid Euclidean-Lorentzian Universe","authors":"Asher Yahalom","doi":"arxiv-2406.06635","DOIUrl":null,"url":null,"abstract":"The limited velocity in a geometry of Lorentzian signature, seem to prevent\nthe universe to reach thermodynamic equilibrium as suggested by the cosmic\nmicrowave background. Thus it was suggested that the universe which was\ninitially minuscule has reached a more considerable radius in a short duration\nby a process known as cosmic inflation. However, to drive such a process have\nled to the suggestion of an ad-hoc scalar field the inflaton, which has no\npurpose in nature other than driving the cosmic inflation field and then\nstopping it once the universe reached the right size. In a recent paper it was\nshown that rapid expansion can occur without postulating an inflation by\nfollowing Hawking's suggestion and assuming that primordially the metric of the\nuniverse had an Euclidean signature, in which case velocity is not limited and\nthermalization and rapid expansion are derived without the need to assume an\nad-hoc field. However, while in the previous work emphasis was put on the\ndynamics and physical statistics of the particles in a Euclidean space vs.\nLorentzian space in which both spaces were given. No mathematical model was\ngiven regarding the development of current Lorentzian space-time from the early\nEuclidean space-time, and how fundamental problems such as the space-time\nsingularity and the homogeneity of the CMB can be solved in the hybrid\nEuclidean-Lorentzian picture. This lacuna is to be rectified in the current\npaper.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"29 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - General Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.06635","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

The limited velocity in a geometry of Lorentzian signature, seem to prevent the universe to reach thermodynamic equilibrium as suggested by the cosmic microwave background. Thus it was suggested that the universe which was initially minuscule has reached a more considerable radius in a short duration by a process known as cosmic inflation. However, to drive such a process have led to the suggestion of an ad-hoc scalar field the inflaton, which has no purpose in nature other than driving the cosmic inflation field and then stopping it once the universe reached the right size. In a recent paper it was shown that rapid expansion can occur without postulating an inflation by following Hawking's suggestion and assuming that primordially the metric of the universe had an Euclidean signature, in which case velocity is not limited and thermalization and rapid expansion are derived without the need to assume an ad-hoc field. However, while in the previous work emphasis was put on the dynamics and physical statistics of the particles in a Euclidean space vs. Lorentzian space in which both spaces were given. No mathematical model was given regarding the development of current Lorentzian space-time from the early Euclidean space-time, and how fundamental problems such as the space-time singularity and the homogeneity of the CMB can be solved in the hybrid Euclidean-Lorentzian picture. This lacuna is to be rectified in the current paper.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
欧几里得-洛伦兹混合宇宙
洛伦兹几何特征中的有限速度似乎阻碍了宇宙达到宇宙微波背景所显示的热力学平衡。因此,有人认为,宇宙最初是微小的,通过一个被称为宇宙膨胀的过程,在短时间内达到了一个更大的半径。然而,为了驱动这样一个过程,人们提出了一种临时性的标量场--"膨胀子"(inflaton),它除了驱动宇宙膨胀场,并在宇宙达到适当大小后停止膨胀外,没有其他用途。在最近的一篇论文中,霍金提出了一个假设,即宇宙的度量最初具有欧几里得特征,在这种情况下,速度就不会受到限制,热化和快速膨胀也就无需假定存在一个临时场而得以实现。然而,在之前的研究中,重点放在了欧几里得空间与洛伦兹空间中粒子的动力学和物理统计上。没有给出有关从早期欧几里得时空发展到当前洛伦兹时空的数学模型,以及如何在欧几里得-洛伦兹混合图中解决诸如时空奇异性和 CMB 的同质性等基本问题。本文将弥补这一空白。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Exploring quantum probability interpretations through artificial intelligence Can the effect of an external gravitational field be incorporated in the classical kinetic theory of gases? Optimization of Postselection in Quantum Algorithms: A Two-Way Quantum Computing Approach Causality in the maximally extended Reissner--Nordström spacetime with identifications Mass and angular momentum for the Kerr black hole in TEGR and STEGR
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1