On Nanocones as a Gravitational Analog System

التفاصيل البيبلوغرافية
العنوان: On Nanocones as a Gravitational Analog System
المؤلفون: Carneiro, F. L., Carneiro, B. C. C., Azevedo, D. L., Ulhoa, S. C.
سنة النشر: 2024
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: This study delves into the fundamental properties of graphene and boron nitride (BN) nanostructures, exploring their torsional energy characteristics within the framework of Teleparallel Equivalent of General Relativity (TEGR). By constructing nanocones with disclination defects in these materials, we investigate the linear dependence of torsional energy on the disclination angle, as predicted by TEGR. The qualitative validation of TEGR's energy expression is supported by our simulations, which show a strong correlation between the torsional energy and the disclination angle, consistent with the theoretical predictions. Furthermore, we propose a quantitative analysis by estimating the coupling constant $k$ associated with TEGR through molecular simulations and Density Functional Theory (DFT) calculations. Our results suggest that $k$ reflects the interatomic forces within the materials, providing insights into the nature of spacetime and gravitational interactions on a microscopic scale. These findings not only contribute to our understanding of material physics but also offer implications for the precision and validity of TEGR in describing gravitational phenomena.
Comment: 13 pages, 6 figures. Comments are welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.05544
رقم الأكسشن: edsarx.2406.05544
قاعدة البيانات: arXiv