Discreteness of Space from GUP in Strong Gravitational Fields
| العنوان: | Discreteness of Space from GUP in Strong Gravitational Fields |
|---|---|
| المؤلفون: | Saurya Das, Ashmita Das, Elias C. Vagenas |
| المصدر: | Physics Letters B, Vol 809, Iss, Pp 135772-(2020) Physics Letters |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Large class, Physics, High Energy Physics - Theory, Nuclear and High Energy Physics, Uncertainty principle, Planck scale, 010308 nuclear & particles physics, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 01 natural sciences, lcsh:QC1-999, General Relativity and Quantum Cosmology, Schrödinger equation, symbols.namesake, Quantization (physics), Gravitational field, High Energy Physics - Theory (hep-th), 0103 physical sciences, symbols, 010306 general physics, Quantum, Schrödinger's cat, lcsh:Physics, Mathematical physics |
| الوصف: | A large class of quantum theories of gravity show that the Heisenberg's uncertainty principle is modified to the "Generalised Uncertainty Principle" (GUP) near the Planckian scale. It has also been shown that the GUP induces perturbative corrections to all quantum mechanical Hamiltonians, even at low energies, and thereby introduces Planck scale corrections to the Schr\"odinger equation and to the relativistic quantum mechanical equations. Some of these corrections give rise to potentially measurable effects in the low-energy laboratory. Another prediction of these corrections is that a measured length must be quantized, as seen by studying the solutions of the GUP modified Schr\"odinger, Klein-Gordon, and Dirac equations in a one, two, and three dimensional box. This result was subsequently extended to spacetimes with weak gravitational fields. In this work, we further extend this length quantization to spacetimes with strong gravitational fields and show that this result continues to hold, thereby showing that it is robust. Comment: 14 pages, accepted in Physics Letters B, published version with minor corrections |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2d1354424690abe5d08fcc3647c2813 http://arxiv.org/abs/2006.05781 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....e2d1354424690abe5d08fcc3647c2813 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |