Quantum Uncertainty and Unruh Temperature

  • Tamás Sándor BiróEmail author
  • Antal Jakovác
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)


Temperature as a measure of fluctuations is well known among physicists [1, 2]. More specifically, its value—measured in Boltzmann’s constant units—is connected to the variance of the energy (after subtraction of the collective motion), \(\Delta E \sim k_\mathrm{B} T\). Usually, only the statistical variance is considered, this being due to internal atomic motion, according to the kinetic theory of heat [3, 4]. In particle physics the analog phenomenon is the motion of elementary particles in an ensemble, as in the kind of hot fireball constructed in high energy accelerator experiments [5]. In field theory, if enough energy is present, the number of particles cannot be fixed, and this quantity also fluctuates in a way that depends on further circumstances. A repeated collision event—even at the same accelerator energy—will produce different numbers of hadrons each time. Here the energy per particle fluctuates due to the fluctuating number of particles and also due to the fluctuating individual kinetic energies of those particles [6, 7]


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© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.H.A.S. Wigner Research Centre for PhysicsBudapestHungary
  2. 2.Institute of PhysicsRoland Eötvös UniversityBudapestHungary

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