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Generalized uncertainty principle

The generalized uncertainty principle (GUP) is a proposed extension of the Heisenberg uncertainty principle that incorporates potential effects of gravitational interactions into quantum mechanical systems. It emerges from several approaches to quantum gravity, including string theory, loop quantum gravity, and quantum geometry, and suggests the existence of a minimum measurable length, typically associated with the Planck scale.

Observable consequences
The GUP's phenomenological and experimental implications have been examined across low and high-energy contexts, encompassing atomic systems, quantum optical systems, gravitational bar detectors, gravitational decoherence, and macroscopic harmonic oscillators, further extending to composite particles, and astrophysical systems. == References ==
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