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The Generalized Uncertainty Principle (GUP) represents a pivotal extension of the Heisenberg Uncertainty Principle, incorporating the effects of gravitational forces to refine the limits of measurement precision within quantum mechanics. Rooted in advanced theories of quantum gravity, including string theory and loop quantum gravity, the GUP introduces the concept of a minimal measurable length. This fundamental limit challenges the classical notion that positions can be measured with arbitrary precision, hinting at a discrete structure of spacetime at the Planck scale. The mathematical expression of the GUP is often formulated as:
References
- 1 2 3 Hossenfelder, Sabine (2 February 2017). "What Quantum Gravity Needs Is More Experiments". Nautilus. Retrieved 21 September 2020.
- ↑ Carlip, S. (7 August 2008). "Is Quantum Gravity Necessary?". Classical and Quantum Gravity. 25 (15): 154010. arXiv: 0803.3456 . Bibcode:2008CQGra..25o4010C. doi:10.1088/0264-9381/25/15/154010. S2CID 15147227.
- ↑ Hossenfelder, Sabine; Smolin, Lee (14 November 2009). "Phenomenological Quantum Gravity". arXiv: 0911.2761 [physics.pop-ph].
- 1 2 Experimental search for quantum gravity. Cham: Springer. 2017. ISBN 9783319645360.
- ↑ Carney, Daniel; Stamp, Philip C. E.; Taylor, Jacob M. (7 February 2019). "Tabletop experiments for quantum gravity: a user's manual". Classical and Quantum Gravity. 36 (3): 034001. arXiv: 1807.11494 . Bibcode:2019CQGra..36c4001C. doi:10.1088/1361-6382/aaf9ca. S2CID 119073215.
- ↑ Danielson, Daine L.; Satishchandran, Gautam; Wald, Robert M. (2022-04-05). "Gravitationally mediated entanglement: Newtonian field versus gravitons". Physical Review D. 105 (8): 086001. arXiv: 2112.10798 . Bibcode:2022PhRvD.105h6001D. doi:10.1103/PhysRevD.105.086001. S2CID 245353748.
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