Time Fisher information associated with fluctuations in quantum geometry

Wani, Salman Sajad; Quach, James Q.; Faizal, Mir

doi:10.1209/0295-5075/ac8caf

Cited by 9 publications

(17 citation statements)

References 63 publications

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“…Now θ is defined as the unobservable variable probed by this operator [38,39]. Since θ acts as the time for the systems, and M 2 plays the same role as the Hamiltonian [38,39], we can write the θ evolution of a world-sheet mode |ϕ i m 0 ⟩ from θ = 0 to θ as…”

Section: Margolus-levitin Boundmentioning

confidence: 99%

“…According to this equation, θ parameterizes the evolution of a string state to another orthogonal string state. This is expected as the unobservable parameter θ is viewed as time in string theory [38,39]. However, there is a bound on θ, and it is not possible for orthogonal string states to evolve into each other faster than this bound.…”

Section: Margolus-levitin Boundmentioning

confidence: 99%

“…However, such quantities, which are not associated with an observable, can be investigated using Fisher information concept [32][33][34][35][36][37]. It has been recently argued that time in string theory can be defined as an unobservable variable and can only be indirectly probed M 2 [38,39]. The time probed by Hamiltonian does not give any information about the casual ordering of events on the world-sheet due to time reparametrization invariance [40].…”

Section: Introductionmentioning

confidence: 99%

“…In fact, due to the time reparametrization invariance, the world-sheet Hamiltonian does not contain any information, and cannot be used to study the dynamics of the system [40]. However, the M 2 does contain Fisher information and can be used to study the dynamics of the system [38,39]. We would like to clarify that by time we mean an ordering parameter, which can be used to define the sequences in which events occur.…”

Section: Introductionmentioning

confidence: 99%

“…This is usually done using a part of the Hamiltonian, to probe change and hence obtain a time variable. The unobservable variable corresponding to this part of Hamiltonian on the world-sheet is θ, and hence it can directly be related to time [38,39]. Here, we will use θ to discuss the evolution of world-sheet string states, as it can be used to define evolution on world-sheet coordinates.…”

Section: Introductionmentioning

confidence: 99%

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A Novel Application of Quantum Speed Limit to String Theory

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In this work, we investigate the implications of the concept of quantum speed limit in string field theory. We adopt a novel approach to the problem of time on world-sheet based on Fisher information, and arrive at a minimum time for a particle state to evolve into another particle state. This is done using both the Mandelstam-Tamm bound and the Margolus-Levitin bound. This implies that any interaction has to be smeared over such an interval, and any interaction in the effective quantum field theory has to be non-local. As non-local quantum field theories are known to be finite, it is expected that divergences should be removed from effective quantum field theories due to the quantum speed limit of string theory.

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Section: Margolus-levitin Boundmentioning

confidence: 99%

Section: Margolus-levitin Boundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Novel Application of Quantum Speed Limit to String Theory

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Alena Tensor in unification applications

Ogonowski,

Skindzier

2024

Phys. Scr.

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Alena Tensor is a recently discovered class of energy-momentum tensors that provides mathematical framework in which, as demonstrated in previous publications, the description of a physical system in curved spacetime and its description in flat spacetime with fields are equivalent. The description of a system with electromagnetic field based on Alena Tensor can be used to reconcile physical descriptions. 1) In curvilinear description, Einstein Field Equations were obtained with Cosmological Constant related to the invariant of the electromagnetic field tensor, which can be interpreted as negative pressure of vacuum, filled with electromagnetic field. 2) In classical description for flat spacetime, three densities of four-forces were obtained: electromagnetic, against gravity (counteraction to gravitational free-fall), and the force responsible for the Abraham-Lorentz effect (radiation reaction force). Obtained connection of Einstein tensor with gravity and radiation reaction force, after transition to curvilinear description, excludes black hole singularities. There was obtained Lagrangian density and generalized canonical four-momentum, containing electromagnetic four-potential and a term responsible for the other two forces. In this description charged particles cannot remain at complete rest and should have spin, their energy results from the existence of energy of magnetic moment and the density of this energy is part of the Poynting four-vector. The distribution of charged matter was expressed as polarization-magnetization stress-energy tensor, what may explain why gravity is invisible in QED. 3) In quantum picture, QED Lagrangian density simplification was obtained, and the Dirac, Schrödinger and Klein-Gordon equations may be considered as approximations of the obtained quantum solution. Farther use of Alena Tensor in unification applications was also discussed.

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Causality in string field theory

Shabir¹,

Shah²,

Wani³

et al. 2023

EPL

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In this letter, we will investigate causality in string field theory using pp-wave light-cone gauge string field theory. We will generalise the Ramsey scheme to string field theory, and use it to analyze string field theoretical processes. An explicit characteristic function for interactive string field theory will be built using this string field theoretical Ramsey scheme. The average of the difference between the initial and final values of any operator described in string field theory will be obtained using this characteristic function. We will use the quantum information theoretical technique based on quantum fisher information to extract information about such string field theoretical processes.

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Time Fisher information associated with fluctuations in quantum geometry

Cited by 9 publications

References 63 publications

A Novel Application of Quantum Speed Limit to String Theory

A Novel Application of Quantum Speed Limit to String Theory

Alena Tensor in unification applications

Causality in string field theory

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