Physical Formalism Of Directional Quantum Evolution Theory

• URL: http://arxiv.org/abs/2504.20100v1
• Date: Sat, 26 Apr 2025 22:12:24 GMT
• Title: Physical Formalism Of Directional Quantum Evolution Theory
• Authors: Tarek Yehia,
• Abstract summary: We introduce the Directional Quantum Evolution Theory (DQET)<n>DQET is a covariant reformulation of quantum mechanics where evolution takes place along a four-vector-defined arbitrary timelike direction.<n>It provides a conserved probability current, supports proper-time evolution, and recovers the Schrodinger in suitable bounds.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Here, we introduce the Directional Quantum Evolution Theory (DQET), a covariant reformulation of quantum mechanics where evolution takes place along a four-vector-defined arbitrary timelike direction. This method restores space-time symmetry and provides a geometric interpretation of energy as a frame-dependent projection by substituting a directional derivative for the traditional time derivative. DQET establishes a conserved probability current, supports proper-time evolution, and recovers the Schrodinger in suitable bounds. It provides a covariant solution to the quantum twin conundrum and predicts observable phase discrepancies between systems traveling along distinct trajectories. With encouraging extensions to curved spacetime, the theory offers a cohesive framework for relativistic quantum evolution.

Related papers

• Theory of the correlated quantum Zeno effect in a monitored qubit dimer [41.94295877935867]
  We show how the competition between two measurement processes give rise to two distinct Quantum Zeno (QZ) regimes.<n>We develop a theory based on a Gutzwiller ansatz for the wavefunction that is able to capture the structure of the Hilbert phase diagram.<n>We show how the two QZ regimes are intimately connected to the topology of the flow of the underlying non-Hermitian Hamiltonian governing the no-click evolution.
  arXiv  Detail & Related papers  (2025-03-28T19:44:48Z)
• Entanglement entropy in conformal quantum mechanics [68.8204255655161]
  We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain. States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.
  arXiv  Detail & Related papers  (2023-06-21T14:21:23Z)
• Quantum operations with the time axis in a superposed direction [0.0]
  We introduce an expanded concept of matrix transposition, that takes into account general bipartite unitary transformations of a quantum operation's future and past Hilbert spaces. This framework may have applications in approaches that treat time and space equally like quantum gravity.
  arXiv  Detail & Related papers  (2023-06-05T10:20:59Z)
• Stochastic Bohmian and Scaled Trajectories [0.0]
  The gradual decoherence process is studied from linear and nonlinear Schr"odinger equations through Bohmian trajectories. Two sources of decoherence of different nature are going to be considered.
  arXiv  Detail & Related papers  (2022-06-30T13:11:00Z)
• 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)
• Wave Functional of the Universe and Time [62.997667081978825]
  A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. The history of the evolution of the universe is described in terms of coordinate time together with arbitrary lapse and shift functions.
  arXiv  Detail & Related papers  (2021-10-18T09:41:59Z)
• Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
  We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
  arXiv  Detail & Related papers  (2021-07-02T09:17:55Z)
• Symmetries of quantum evolutions [0.5735035463793007]
  Wigner's theorem establishes that every symmetry of quantum state space must be either a unitary transformation, or an antiunitary transformation. We show that it is impossible to extend the time reversal symmetry of unitary quantum dynamics to a symmetry of the full set of quantum evolutions. Our no-go theorem implies that any time symmetric formulation of quantum theory must either restrict the set of the allowed evolutions, or modify the operational interpretation of quantum states and processes.
  arXiv  Detail & Related papers  (2021-01-13T09:47:32Z)
• Spacetime Quantum Actions [0.0]
  We propose a formulation of quantum mechanics in an extended Fock space in which a tensor product structure is applied to time. Subspaces of histories consistent with the dynamics of a particular theory are defined by a direct quantum generalization of the corresponding classical action. The diagonalization of such quantum actions enables us to recover the predictions of conventional quantum mechanics and reveals an extended unitary equivalence between all physical theories.
  arXiv  Detail & Related papers  (2020-10-18T23:14:10Z)
• 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)
• Quaternionic quantum theory admits universal dynamics only for two-level systems [0.0]
  We prove that quaternionic quantum theory admits a time evolution only for systems with a quaternionic dimension of at most two. Applying the same strategy to standard complex quantum theory, we reproduce that the correspondence dictated by the Schr"odinger equation is the only possible choice.
  arXiv  Detail & Related papers  (2020-01-15T18:50:57Z)
• 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.