The Associated Metric for a Particle in a Quantum Energy Level

The spacetime metric in particle QED

A small time delay between interactions, which has previously been shown to remove divergences from QED, is used to show that, if spacetime geometry is emergent from particle interactions in the manner suggested by Bondi, then Minkowski metric, which appears in the Schroedinger equation as a requirement of the probability interpretation, is perturbed in physical measurement, leading to curved spacetime in accordance with Einstein's equation.

Might EPR particles communicate through a wormhole?

We consider the two-particle wave function of an Einstein-Podolsky-Rosen system, given by a two dimensional relativistic scalar field model. The Bohm-de Broglie interpretation is applied and the quantum potential is viewed as modifying the Minkowski geometry. In this way an effective metric, which is analogous to a black hole metric in some limited region, is obtained in one case and a particular metric with singularities appears in the other case, opening the possibility, following Holland, of interpreting the EPR correlations as being originated by an effective wormhole geometry, through whi…

Metric perturbation theory of quantum dynamics

A theory of quantum dynamics based on a discrete structure underlying the space time manifold is developed for single particles. It is shown that at the micro domain the interaction of particles with the underlying discrete structure results in the quantum space time manifold. Regarding the resulting quantum space-time as perturbation from the Lorentz metric it is shown it is possible to discuss the dynamics of particles in the quantum domain.

幺正性约束粒子相互作用的量子信息度量

Unitarity constrains the quantum information metrics for particle interactions

本文利用幺正性约束，分别以非相对论和相对论量子力学推导硬散射密度矩阵及非弹性散射动量熵，为粒子物理学家计算量子信息度量提供新途径。

Hidden Parameters in Heisenberg's and Landau-Peierls Uncertainty Relations, Speed of Virtual Particles and Space-Time Metric Types

In quantum field theory, virtual particles are carriers of relativistic wave fields, participate in vacuum fluctuations, and are a consequence of the implementation of the quantum uncertainty mechanism. Virtual particles, playing a fundamental role in our understanding and description of interaction processes, are themselves inaccessible to direct observation and measurement of their dynamic characteristics. We prove that the well-known Heisenberg uncertainty relations and Landau-Peierls uncertainty relations implicitly contain new "hidden" angular variables. On the basis of the relations obta…

Average number is an insufficient metric for interferometry

We argue that analysing schemes for metrology solely in terms of the average particle number can obscure the number of particles effectively used in informative events. For a number of states we demonstrate that, in both frequentist and Bayesian frameworks, the average number of a state can essentially be decoupled from the aspects of the total number distribution associated with any metrological advantage.