Complexified quantum and classical mechanics

• URL: http://arxiv.org/abs/2007.05865v1
• Date: Sat, 11 Jul 2020 22:25:48 GMT
• Title: Complexified quantum and classical mechanics
• Abstract summary: It is shown that the quantum system can tunnel, while the classical systems are destroyed by such barrier. The imaginary observables of coordinate and momentum are used in a novel treatment of passage through the event horizon.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The anti self-adjoint operators of coordinate and momentum are introduced and applied in discussion of tunneling through the potential barrier where imaginary value of momentum unavoidably appears. Tunneling through temporal barrier is proceeded in a similar way and it is shown that the quantum system can tunnel, while the classical systems are destroyed by such barrier. The imaginary observables of coordinate and momentum are used in a novel treatment of passage through the event horizon. By considering the event horizon as the border of the finite potential barrier, it is found that there is no singularity at the center of a black hole. The imaginary variables of coordinate and momentum are used for the construction of a toy model of the universe. It is shown that the acceleration of the expansion of the universe does not need dark energies to be explained since negative energies are present and characteristic for the imaginary world.

Related papers

• Gravitationally Induced Entanglement Across an Event Horizon [0.0]
  It has long been assumed that a particle crossed a black hole event horizon unentangled with another particle in the exterior universe.<n>Here, we show within a gravitational time-delayed-potential model that entanglement can be created from scratch between freely falling spatial superpositions.
  arXiv  Detail & Related papers  (2026-09-03T17:09:41Z)
• On the nature of entangling photons in horizon-induced decoherence [45.88028371034407]
  Recently, it was discussed how the presence of a Killing horizon induces decoherence on a quantum system in a superposition of states.<n>This essay investigates this process in connection with black hole thermodynamics and the ensuing entropy bounds.
  arXiv  Detail & Related papers  (2026-05-19T09:31:09Z)
• Time Symmetry, Retrocausality, and Emergent Collapse: The Tlalpan Interpretation of Quantum Mechanics [51.56484100374058]
  The Tlalpan Interpretation (QTI) proposes that the wavefunction collapse is not a primitive, axiomatic rule but an emergent phenomenon.<n>The novelty of QTI lies in its embedding of collapse within the conceptual language of critical phenomena in statistical physics.
  arXiv  Detail & Related papers  (2025-08-25T20:30:56Z)
• Horizon quantum geometries and decoherence [49.1574468325115]
  There is mounting theoretical evidence that black hole horizons induce decoherence on a quantum system.<n>This phenomenon has been shown to owe its existence to soft modes.<n>We show that the discreteness of the energy levels associated to the different geometric configurations might have strong impact on the results.
  arXiv  Detail & Related papers  (2025-07-24T18:00:30Z)
• General relativistic particle trajectories via quantum mechanical weak values and the Schwarzschild-Alcubierre spacetime [0.0]
  We show that the average trajectories of relativistic quantum particles in Schwarzschild spacetime are equivalent to the predicted flow lines of probability current in curved spacetime quantum theory. We demonstrate that these trajectories correspond exactly to classical null geodesics in a hybrid Schwarzschild-Alcubierre spacetime.
  arXiv  Detail & Related papers  (2025-01-16T21:07:27Z)
• Quantum Isotropic Universe in RQM Analogy: the Cosmological Horizon [0.0]
  We investigate the quantum dynamics of the isotropic Universe in the presence of a free massless scalar field. We show how the introduction of a "turning point" in the Universe evolution allows to overcome an intrinsic ambiguity in representing the expanding and collapsing Universe.
  arXiv  Detail & Related papers  (2024-04-10T14:45:56Z)
• A non-hermitean momentum operator for the particle in a box [49.1574468325115]
  We show how to construct the corresponding hermitean Hamiltonian for the infinite as well as concrete example. The resulting Hilbert space can be decomposed into a physical and unphysical subspace.
  arXiv  Detail & Related papers  (2024-03-20T12:51:58Z)
• Embezzling entanglement from quantum fields [41.94295877935867]
  Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system. We uncover a deep connection between the operational task of embezzling entanglement and the mathematical classification of von Neumann algebras.
  arXiv  Detail & Related papers  (2024-01-14T13:58:32Z)
• Emergent geometric phase in time-dependent noncommutative quantum system [0.0]
  We have given a systematic way to formulate non-relativistic quantum mechanics on 1+1 dimensional NC space-time. Although the effect of noncommutativity of space-time should presumably become significant at a very high energy scale, it is intriguing to speculate that there should be some relics of the effects of quantum space-time even in a low-energy regime.
  arXiv  Detail & Related papers  (2023-06-14T12:29:08Z)
• Quantum tunneling as evidence of non-spatiality [0.0]
  The concept of spatiality is transcended during tunneling, since one cannot describe the process as a crossing of the potential barrier. It indicates that quantum non-locality should be understood as an aspect of quantum non-spatiality.
  arXiv  Detail & Related papers  (2023-03-11T13:08:07Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
  In quantum mechanics, the energy per degree of freedom is not equally distributed. We show that in the high-temperature regime, the classical result is recovered.
  arXiv  Detail & Related papers  (2022-05-24T20:51:03Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Quantum evolution in terms of mechanical motion [0.0]
  Quantum tunneling is considered from the point of view of local realism. It is concluded that a quantum object tunneling through a potential barrier cannot be interpreted as a point-like particle because such an interpretation generates a contradiction with the impossibility of faster-than-light motion.
  arXiv  Detail & Related papers  (2021-03-20T04:37:22Z)
• Quantum tunneling of a singular potential [0.0]
  singularity of the potential function makes quantum tunneling problem mathematically underdetermined. I discuss here how quantum tunneling will behave if the original singular nature of the Schrodinger equation left untuched.
  arXiv  Detail & Related papers  (2021-02-25T11:21:13Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Projection evolution and quantum spacetime [68.8204255655161]
  We discuss the problem of time in quantum mechanics. An idea of construction of a quantum spacetime as a special set of the allowed states is presented. An example of a structureless quantum Minkowski-like spacetime is also considered.
  arXiv  Detail & Related papers  (2019-10-24T14:54:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.