A Quantum Informational Approach to the Problem of Time


Creative Commons License

Wani S. S., Quach J. Q., Faizal M., Bahamonde S., Pourhassan B.

FOUNDATIONS OF PHYSICS, cilt.52, sa.1, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s10701-022-00540-6
  • Dergi Adı: FOUNDATIONS OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Philosopher's Index, zbMATH, DIALNET
  • Anahtar Kelimeler: Problem of time, Quantum information, Hamiltonian constraint, Time crystals, WHEELER-DEWITT EQUATION, DIMENSIONS, GRAVITY, ENERGY
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Several novel approaches have been proposed to resolve the problem of time by relating it to change. We argue using quantum information theory that the Hamiltonian constraint in quantum gravity cannot probe change, so it cannot be used to obtain a meaningful notion of time. This is due to the absence of quantum Fisher information with respect to the quantum Hamiltonian of a time-reparametization invariant system. We also observe that the inability of this Hamiltonian to probe change can be related to its inability to discriminate between states of such a system. However, if the time-reparametization symmetry is spontaneously broken due to the formation of quantum cosmological time crystals, these problems can be resolved, and it is possible for time to emerge in quantum gravity.