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The noise induced by gravitons in a freely falling particle has been calculated in [1]. We calculated the variance in the momentum of the freely falling massive particle. From this we found that the product of the standard deviation in the position and the standard deviation in momentum is proportional to the square of the standard deviation in momentum. In the Planck limit, this uncertainty product gives the well-known form of the generalized uncertainty principle. The presentation is based on our work published in [7].

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Noise of Gravitons and the Uncertainty Principle

  • 会议论文

  • 发表日期：

    2025年

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  • Sunandan Gangopadhyay,
  • Soham Sen

摘要

The noise induced by gravitons in a freely falling particle has been calculated in [1]. We calculated the variance in the momentum of the freely falling massive particle. From this we found that the product of the standard deviation in the position and the standard deviation in momentum is proportional to the square of the standard deviation in momentum. In the Planck limit, this uncertainty product gives the well-known form of the generalized uncertainty principle. The presentation is based on our work published in [7].