• Quantum gravity, minimum length and holography

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      https://www.ias.ac.in/article/fulltext/pram/095/0040

    • Keywords

       

      Quantum gravity; trace dynamics; pre-quantum theory; pre-space–time theory; length uncertainty.

    • Abstract

       

      The Karolyhazy uncertainty relation states that if a device is used to measure a length $l$, there will be a minimum uncertainty $\delta l$ in the measurement, given by $(\delta l)^3$ ~ $L^2_Pl$. This is a consequence of combining the principles of quantum mechanics and general relativity. In this letter we show how this relation arises in our approach to quantum gravity, in a bottom-up fashion, from the matrix dynamics of atoms of space–time–matter. We use this relation to define a space–time–matter (STM) foam at the Planck scale, and to argue that our theory is holographic. By coarse graining over time-scales larger than Planck time, one obtains the laws of quantum gravity. Quantum gravity is not a Planck scale phenomenon; rather it comes into play whenever classical space–time background is not available to describe a quantum system. Space–time and classical general relativity arise from spontaneous localisation in a highly entangled quantum gravitational system. The Karolyhazy relation continues to hold in the emergent theory. An experimental confirmation of this relation will constitute a definitive test of the quantum nature of gravity.

    • Author Affiliations

       

      TEJINDER P SINGH1

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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