Non-Abelian Gauge Theories and Emerging Space-Time Structures: A New Approach to Quantum Gravity

Year 2024, Volume: 12 Issue: 2, 84 - 99, 30.12.2024

Ayhan Aksakallı

https://doi.org/10.18586/msufbd.1536997

Abstract

This paper examines the impact of non-Abelian gauge theories on space-time structures within the context of quantum gravity theory. The study explores the intricate effects of the non-perturbative properties of gauge fields on the topological and geometric structures of space-time, analyzing how these effects align with or differ from the current understanding of quantum gravity theory. The simulations conducted in this study visually model the dynamic effects of gauge fields on the microstructures of space-time, illustrating the role these structures play in quantum gravity theory. The findings suggest the potential for developing new approaches to experimentally test quantum gravity theory. Recommendations for future research include more comprehensive simulations involving different gauge groups and a more detailed investigation of the energetic contributions of these structures. This paper contributes to a broader understanding of quantum gravity theory, offering new insights into its potential applications in the physical world.

Keywords

Gauge theories, quantum gravity, non-perturbative dynamics, topological invariants, space-time structures

Non-Abelyen Gauge Teorileri ve Ortaya Çıkan Uzay-Zaman Yapıları: Kuantum Gravitasyona Yeni Bir Yaklaşım

Abstract

Bu makale, non-Abelyen gauge teorilerinin uzay-zaman yapıları üzerindeki etkilerini kuantum gravitasyon teorisi bağlamında incelemektedir. Araştırmada, gauge alanlarının non-perturbatif özelliklerinin uzay-zamanın topolojik ve geometrik yapıları üzerindeki karmaşık etkileri ele alınmış, bu etkilerin kuantum gravitasyon teorisinin mevcut anlayışıyla nasıl örtüştüğü veya farklılaştığı analiz edilmiştir. Çalışmada gerçekleştirilen simülasyonlar, gauge alanlarının uzay-zamanın mikro yapıları üzerindeki dinamik etkilerini görsel olarak modelliyerek, bu yapıların kuantum gravitasyon teorisinde nasıl bir rol oynadığını göstermiştir. Bulgular, kuantum gravitasyon teorisinin deneysel olarak test edilmesine yönelik yeni yaklaşımlar geliştirme potansiyeline işaret etmektedir. Gelecek çalışmalar için öneriler, farklı gauge gruplarının daha kapsamlı simülasyonlarla incelenmesini ve bu yapıların enerjisel katkılarının daha ayrıntılı olarak araştırılmasını içermektedir. Bu makale, kuantum gravitasyon teorisinin daha geniş kapsamlı bir şekilde anlaşılmasına katkı sağlayarak bu teorinin fiziksel dünyadaki uygulamalarına yönelik yeni fikirler vermektedir.

Keywords

Gauge teorileri, kuantum gravitasyon, non-perturbatif dinamikler, topolojik invariantlar, uzay-zaman yapıları

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