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

Ioannis Raptis
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引用次数: 0

摘要

在本文中,我们概述并阐述了我们正在进行的将抽象微分几何学(ADG)的概念和技术机制应用于量子引力(QG)研究中各种长期悬而未决问题的研究项目所产生的基本和新颖的定量暨哲学前提、原则、思想、概念、构造和结果。在本文的最后,我们讨论了我们将抽象微分几何(ADG)应用于量子引力(QG)的主要研究方向可能会分叉的两条潜在的哲学反响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Heuristic Philosophical Discourse on Various Applications of Abstract Differential Geometry in Quantum Gravity Research
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 conceptual panoply and the technical machinery of Abstract Differential Geometry (ADG) to various persistently outstanding issues in Quantum Gravity (QG) research. 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.
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