Finite Interaction Frames and the Physical Origin of Quantum Uncertainty

We propose a physical redefinition of reference frames as finite, interaction-defined spacetimedomains sustained by coherence in an active vacuum. Unlike General Relativity, where frames aremathematical and local, frames in the present framework possess finite spatial extent and temporalduration determined by interaction reach and vacuum polarization. We show that the Heisenberguncertainty relations arise naturally as structural constraints on the existence of such frames, ratherthan as independent quantum postulates. A covariant spacetime uncertainty relation is derived,unifying spatial–momentum and time–energy uncertainties. Exact inertial frames and perfectlylocalized states are shown to be physically forbidden. The framework provides a consistent bridgebetween relativity, quantum mechanics, and vacuum physics, and extends earlier vacuum-basedapproaches to quantization and gravitation.We propose a physical redefinition of reference frames as finite, interaction-defined spacetimedomains sustained by coherence in an active vacuum. Unlike General Relativity, where frames aremathematical and local, frames in the present framework possess finite spatial extent and temporalduration determined by interaction reach and vacuum polarization. We show that the Heisenberguncertainty relations arise naturally as structural constraints on the existence of such frames, ratherthan as independent quantum postulates. A covariant spacetime uncertainty relation is derived,unifying spatial–momentum and time–energy uncertainties. Exact inertial frames and perfectlylocalized states are shown to be physically forbidden. The framework provides a consistent bridgebetween relativity, quantum mechanics, and vacuum physics, and extends earlier vacuum-basedapproaches to quantization and gravitation.

Dec 16, 20150 citations

Uncertainty and quantum mechanics

Tim Freegarde

Cambridge University Press eBooksNov 8, 20120 citations

A view from nowhere: quantum reference frames and uncertainty

Michael Dickson

Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern PhysicsMar 25, 200419 citations

A conceptual frame for giving physical content to the uncertainty principle and the quantum state

Bilal Canturk

In the present paper, we have defined a physical event as an invariant replacement of a structural form, possessing a finite space-time region which emerges as a unification of the uncertainty principle and the quantum state. To reach this concept, we have first unearthed and then criticized two related conjectures relying on the foundation of the current physics which are that: (1) there is an operational-based prior space-time frame in which physical events evolve continuously; and (2) the events are understood based on a pure two-valued logic of rational-reason. We have concluded that the presented conceptual frame supports (i) a time operator having a domain ( $0,2\pi$ ). In addition, it implies that: (ii) the dynamical variables of a physical event are the functional faculties as the content of the structural form of the event; and (iii) every physical event needs a finite time for realization.In the present paper, we have defined a physical event as an invariant replacement of a structural form, possessing a finite space-time region which emerges as a unification of the uncertainty principle and the quantum state. To reach this concept, we have first unearthed and then criticized two related conjectures relying on the foundation of the current physics which are that: (1) there is an operational-based prior space-time frame in which physical events evolve continuously; and (2) the events are understood based on a pure two-valued logic of rational-reason. We have concluded that the presented conceptual frame supports (i) a time operator having a domain ($0,2\pi$). In addition, it implies that: (ii) the dynamical variables of a physical event are the functional faculties as the content of the structural form of the event; and (iii) every physical event needs a finite time for realization.

May 20, 20190 citations

Entropic uncertainty relations from equiangular tight frames and their applications

Alexey E. Rastegin

Finite tight frames are interesting in various topics including questions of quantum information. Each complex tight frame leads to a resolution of the identity in the Hilbert space. Symmetric informationally complete measurements are a special class of equiangular tight frames. Applications of such frames in quantum physics deserve more attention than they have obtained. We derive uncertainty relations for a quantum measurement assigned to an equiangular tight frame. Main results follow from estimation of the corresponding index of coincidence. State-dependent and state-independent formulations are both addressed. Also, we discuss applications of considered measurements to detect entanglement and other correlations.Finite tight frames are interesting in various topics including questions of quantum information. Each complex tight frame leads to a resolution of the identity in the Hilbert space. Symmetric informationally complete measurements are a special class of equiangular tight frames. Applications of such frames in quantum physics deserve more attention than they have obtained. We derive uncertainty relations for a quantum measurement assigned to an equiangular tight frame. Main results follow from estimation of the corresponding index of coincidence. State-dependent and state-independent formulations are both addressed. Also, we discuss applications of considered measurements to detect entanglement and other correlations.

arXiv:2112.12375Proceedings of the Royal Society A Mathematical Physical and Engineering SciencesJun 1, 202326 citations

Uncertainty about quantum mechanics

Mark S. Madsen

Behavioral and Brain SciencesDec 1, 19900 citations

0,2\pi

). In addition, it implies that: (ii) the dynamical variables of a physical event are the functional faculties as the content of the structural form of the event; and (iii) every physical event needs a finite time for realization.