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Testing Quantum Effects of Gravity and Dark Energy at Laboratory Scales^{ †}

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## Abstract

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## 1. Introduction

## 2. Quantum Effects and Modification of Newtonian Gravity

## 3. Dark Energy can Limit the Size and Energies of Rydberg Atoms

## 4. Conclusions and Future Directions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

- Schulz, B. Review on the quantization of gravity. arXiv
**2014**, arXiv:1409.7977v1. [Google Scholar] - Penrose, R. On Gravity’s role in Quantum State Reduction. Gen. Rel. Grav.
**1996**, 28, 581. [Google Scholar] [CrossRef] [Green Version] - Kiefer, C. Quantum Gravity: General Introduction and Recent Developments. Ann. Phys.
**2005**, 15, 129. [Google Scholar] [CrossRef] - Hossenfelder, S. Experimental Search for Quantum Gravity. arXiv
**2010**, arXiv:1010.3420v1. [Google Scholar] - Ashoorioon, A.; Dev, P.S.B.; Mazumdar, A. Implications of purely classical gravity for inflationary tensor modes. Mod. Phys. Lett. A
**2014**, 29, 1450163. [Google Scholar] [CrossRef] - Pikovski, I.; Vanner, M.R.; Aspelmeyer, M.; Kim, M.; Brukner, C. Probing Planck-scale physics with quantum optics. Nature Phys.
**2012**, 8, 393. [Google Scholar] [CrossRef] - Albrecht, A.; Retzker, A.; Plenio, M.B. Testing quantum gravity by nanodiamond interferometry with nitrogen-vacancy centers. Phys. Rev. A
**2014**, 90, 033834. [Google Scholar] [CrossRef] [Green Version] - Linsley, J. Evidence for a Primary Cosmic-Ray Particle with Energy 10
^{20}eV. Phys. Rev. Lett.**1963**, 10, 146. [Google Scholar] [CrossRef] - Abbott, B.P.; Abbott, R.; Abbott, T.D.; Abernathy, M.R.; Acernese, F.; Ackley, K.; Adams, C.; Adams, T.; Addesso, P.; Adhikari, R.X.; et al. Observation of Gravitational Waves from a Binary Black Hole Merger. Phys. Rev. Lett.
**2016**, 116, 061102. [Google Scholar] [CrossRef] [Green Version] - Abbott, B.P.; Abbott, R.; Adhikari, R.X.; Ananyeva, A.; Anderson, S.B.; Appert, S.; Arai, K.; Araya, M.C.; Barayoga, J.C.; Barish, B.C.; et al. Multi-messenger Observations of a Binary Neutron Star Merger. Astrophys. J.
**2017**, 848, L12. [Google Scholar] - Westphal, T.; Hepach, H.; Pfaff, J.; Aspelmeyer, M. Measurement of gravitational coupling between millimetre-sized masses. Nature
**2021**, 591, 225. [Google Scholar] [CrossRef] [PubMed] - de Sabbata, V.; Kenath, A.; Prasad, A. Testing Quantum Effects of Gravity and Dark Energy at Laboratory Scales. Ann. Phys.
**1991**, 503, 497. [Google Scholar] [CrossRef] - Biercuk, M.J. Ultrasensitive force and displacement detection using trapped ions. Nat. Nanotechnol.
**2010**, 5, 646. [Google Scholar] [CrossRef] [Green Version] - de Sabbata, V.; Sivaram, C. On limiting field strengths in gravitation. Found. Phys. Lett.
**1993**, 6, 561. [Google Scholar] [CrossRef] - Sivaram, C.; Arun, K. Enigmatic aspects of entropy inside the black hole: What do falling comoving observers see? Astrophys. Space Sci.
**2012**, 337, 169. [Google Scholar] [CrossRef] - Sivaram, C. String tension and fundamental constants in the early Universe. Astrophys. Space Sci.
**1990**, 167, 335. [Google Scholar] [CrossRef] - Sivaram, C. Classical space-time as Rydberg states of underlying quantum geometries. arXiv
**2016**, arXiv:1607.08114v1. [Google Scholar] - Dunning, F.B.; Mestayer, J.J.; Reinhold, C.O.; Yoshida, S.; Burgdörfer, J. Engineering atomic Rydberg states with pulsed electric fields. J. Phys. B At. Mol. Opt. Phys.
**2009**, 42, 022001. [Google Scholar] [CrossRef] - Stepkin, S.V.; Konovalenko, A.A.; Kantharia, N.G.; Shankar, N.U. Radio recombination lines from the largest bound atoms in space. Mon. Not. R. Astron. Soc.
**2007**, 374, 852. [Google Scholar] [CrossRef] - Lin, H.-Y.; Deng, X.-M. Bound Orbits and Epicyclic Motions around Renormalization Group Improved Schwarzschild Black Holes. Universe
**2022**, 8, 278. [Google Scholar] [CrossRef] - Lin, H.-Y.; Deng, X.-M. Rational orbits around 4 Einstein–Lovelock black holes. Phys. Dark Univ.
**2021**, 31, 100745. [Google Scholar] [CrossRef] - Deng, X.-M. Geodesics and periodic orbits around quantum-corrected black holes. Phys. Dark Univ.
**2020**, 30, 100629. [Google Scholar] [CrossRef] - Gao, B.; Deng, X.-M. Dynamics of charged test particles around quantum-corrected Schwarzschild black holes. Eur. Phys. J. C
**2021**, 81, 983. [Google Scholar] [CrossRef] - Sivaram, C.; Arun, K.; Rebecca, L. Planckian pre big bang phase of the Universe. Astrophys. Space Sci.
**2020**, 365, 17. [Google Scholar] [CrossRef]

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## Share and Cite

**MDPI and ACS Style**

Arun, K.; Sivaram, C.; Prasad, A.
Testing Quantum Effects of Gravity and Dark Energy at Laboratory Scales. *Phys. Sci. Forum* **2023**, *7*, 5.
https://doi.org/10.3390/ECU2023-14018

**AMA Style**

Arun K, Sivaram C, Prasad A.
Testing Quantum Effects of Gravity and Dark Energy at Laboratory Scales. *Physical Sciences Forum*. 2023; 7(1):5.
https://doi.org/10.3390/ECU2023-14018

**Chicago/Turabian Style**

Arun, Kenath, Chandra Sivaram, and Avijeet Prasad.
2023. "Testing Quantum Effects of Gravity and Dark Energy at Laboratory Scales" *Physical Sciences Forum* 7, no. 1: 5.
https://doi.org/10.3390/ECU2023-14018