1986Classical and Quantum GravityOpen access

The role of general relativity in the uncertainty principle

Τ. Padmanabhan

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Abstract

The role played by general relativity in quantum mechanics (especially as regards the uncertainty principle) is investigated. It is confirmed that the validity of time-energy uncertainty does depend on gravitational time dilation. The author also shows that there exists an intrinsic lower bound to the accuracy with which acceleration due to gravity can be measured. The motion of the equivalence principle in quantum mechanics is clarified.

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The role played by general relativity in quantum mechanics (especially as regards the uncertainty principle) is investigated. It is confirmed that the validity of time-energy uncertainty does depend on gravitational time dilation. The author also shows that there exists an intrinsic lower bound to the accuracy with which acceleration due to gravity can be measured. The motion of the equivalence principle in quantum mechanics is clarified.

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Available abstract

The role played by general relativity in quantum mechanics (especially as regards the uncertainty principle) is investigated. It is confirmed that the validity of time-energy uncertainty does depend on gravitational time dilation. The author also shows that there exists an intrinsic lower bound to the accuracy with which acceleration due to gravity can be measured. The motion of the equivalence principle in quantum mechanics is clarified.

Key concepts: Physics, Equivalence principle (geometric), Gravitational time dilation, Time dilation, General relativity, Uncertainty principle, Gravity Probe A, Classical mechanics

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