2012/10/26 by Yoshiaki Ohkuwa, Yasuo Ezawa
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Metric expansion of space #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Quantum gravity #Scale factor (cosmology) #Shape of the universe #Spacetime #Uncertainty principle #Universe #Zero-energy universe #gr-qc
paper · pdf · doi:10.1088/0264-9381/30/23/235015
published as Class. Quantum Grav. 30 (2013) 235015 · 9 pages. Subtitle and a reference are added with some minor changes. arXiv admin note: text overlap with arXiv:1203.1361
arxiv created 2012/10/26 · openalex publication_date 2013/10/30 · openalex created_date 2016/06/24 · arxiv updated 2019/04/30 · openalex updated_date 2026/08/05
In the previous paper we examined the third quantization of the f(R)-type gravity and studied the Heisenberg uncertainty relation of the universe in the example of f(R)=R2. In this work the Heisenberg uncertainty relation of the universe is investigated in the general f(R)-type gravity where tachyonic states are avoided. It is shown that, at late times namely the scale factor of the universe is large, the spacetime becomes classical, and, at early times namely the scale factor of the universe is small, the quantum effects dominate.