On Gravity and the Uncertainty Principle

Details On Gravity and the Uncertainty Principle On Gravity and the Uncertainty Principle

1999-04-12

arxiv.org/abs/gr-qc/9904026v2

Mod.Phys.Lett. A14 (1999) 1371

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Gravity Research Foundation essay. 14 pages Minor typos were corrected

Scientific paper

10.1142/S0217732399001462

Heisenberg showed in the early days of quantum theory that the uncertainty principle follows as a direct consequence of the quantization of electromagnetic radiation in the form of photons. As we show here the gravitational interaction of the photon and the particle being observed modifies the uncertainty principle with an additional term. From the modified or gravitational uncertainty principle it follows that there is an absolute minimum uncertainty in the position of any particle, of order of the Planck length. A modified uncertainty relation of this form is a standard result of superstring theory, but the derivation given here is based on simpler and rather general considerations with either Newtonian gravitational theory or general relativity theory.

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