A Heuristic Philosophical Discourse on Various Applications of Abstract Differential Geometry in Quantum Gravity Research

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY International Journal of Theoretical Physics Pub Date : 2024-10-18 DOI:10.1007/s10773-024-05798-2

Ioannis Raptis

{"title":"A Heuristic Philosophical Discourse on Various Applications of Abstract Differential Geometry in Quantum Gravity Research","authors":"Ioannis Raptis","doi":"10.1007/s10773-024-05798-2","DOIUrl":null,"url":null,"abstract":"<div>In the present paper, we outline and expound the fundamental and novel qualitative-cum-philosophical premises, principles, ideas, concepts, constructions and results that originate from our ongoing research project of applying the new conceptual panoply and the novel technical machinery of Abstract Differential Geometry (ADG) to various persistently outstanding issues in Quantum Gravity (QG) (Mallios and Raptis Int. J. Theor. Phys. 40, 1885, 2004, Int. J. Theor. Phys. 41, 1857, 2002, Int. J. Theor. Phys. 42, 1479, 2003; Raptis Int. J. Theor. Phys. 39, 1233, 2000, Int. J. Theor. Phys. 39, 1703, 2000, Int. J. Theor. Phys. 45, 79, 2006, Int. J. Theor. Phys. 46, 688, 2007, Int. J. Theor. Phys. 45, 1495, 2006, Int. J. Theor. Phys. 46, 1137, 2007, Int. J. Theor. Phys. 46, 3009, 2007; Raptis and Zapatrin Int. J. Theor. Phys. 39, 1, 2000, Class. Quant. Grav. 20, 4187, 2001). This paper may be regarded as a sequel to the paper (Raptis Int. J. Theor. Phys. 46, 3009, 2007) in the aftermath of the paper (Raptis 2024), which is currently in press. At the end of the paper, we discuss the potential philosophical repercussions of two possible future research routes that the main stream of our applications of ADG to QG may bifurcate towards in view of three independent, but overlapping, research papers that are currently under development (Raptis 2024a, 2024b, 2024c).</div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-024-05798-2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

Abstract

In the present paper, we outline and expound the fundamental and novel qualitative-cum-philosophical premises, principles, ideas, concepts, constructions and results that originate from our ongoing research project of applying the new conceptual panoply and the novel technical machinery of Abstract Differential Geometry (ADG) to various persistently outstanding issues in Quantum Gravity (QG) (Mallios and Raptis Int. J. Theor. Phys. 40, 1885, 2004, Int. J. Theor. Phys. 41, 1857, 2002, Int. J. Theor. Phys. 42, 1479, 2003; Raptis Int. J. Theor. Phys. 39, 1233, 2000, Int. J. Theor. Phys. 39, 1703, 2000, Int. J. Theor. Phys. 45, 79, 2006, Int. J. Theor. Phys. 46, 688, 2007, Int. J. Theor. Phys. 45, 1495, 2006, Int. J. Theor. Phys. 46, 1137, 2007, Int. J. Theor. Phys. 46, 3009, 2007; Raptis and Zapatrin Int. J. Theor. Phys. 39, 1, 2000, Class. Quant. Grav. 20, 4187, 2001). This paper may be regarded as a sequel to the paper (Raptis Int. J. Theor. Phys. 46, 3009, 2007) in the aftermath of the paper (Raptis 2024), which is currently in press. At the end of the paper, we discuss the potential philosophical repercussions of two possible future research routes that the main stream of our applications of ADG to QG may bifurcate towards in view of three independent, but overlapping, research papers that are currently under development (Raptis 2024a, 2024b, 2024c).

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

关于抽象微分几何学在量子引力研究中各种应用的启发式哲学论述

在本文中，我们概述并阐述了源于我们正在进行的研究项目的基本和新颖的定性暨哲学前提、原则、思想、概念、构造和结果，即把抽象微分几何学（ADG）的新概念和新技术机制应用于量子引力（QG）中各种长期悬而未决的问题（Mallios 和 Raptis Int.J. Theor.40, 1885, 2004, Int.J. Theor.41, 1857, 2002, Int.J. Theor.42, 1479, 2003; Raptis Int.J. Theor.39, 1233, 2000, Int.J. Theor.39, 1233, 2000, Int. J. Theor.J. Theor.45, 79, 2006, Int.J. Theor.46, 688, 2007, Int.J. Theor.45, 1495, 2006, Int.J. Theor.46, 1137, 2007, Int.J. Theor.46, 3009, 2007; Raptis and Zapatrin Int.J. Theor.39, 1, 2000, Class.Quant.Quant.20, 4187, 2001).本文可视为论文（Raptis Int. J. Theor. Phys. 46, 3009, 2007）的续篇，该论文（Raptis 2024）目前正在出版中。在本文末尾，我们讨论了我们将 ADG 应用于 QG 的主流可能分叉的两条未来研究路线的潜在哲学反响，这两条研究路线是鉴于三篇独立但重叠的研究论文（Raptis 2024a、2024b、2024c），目前正在开发之中。

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

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.