Unruh temperature with maximal acceleration

Benedetto, Elmo; Feoli, A.

doi:10.1142/s0217732315500753

Cited by 14 publications

(16 citation statements)

References 32 publications

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“…The final result is therefore

which is independent of

and coincides with the usual Unruh temperature [ 18 , 19 ]. This result, with the replacement

, where

is the maximal acceleration, also confirms a recent calculation [ 20 ] regarding particles whose accelerations has an upper limit. Equation ( 66 ) comes in fact from the term

that does not contain derivatives of

.…”

Section: The Gravitational Wkb Problemsupporting

confidence: 88%

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Some Classical and Quantum Aspects of Gravitoelectromagnetism

Papini

2020

Entropy

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It has been shown that, even in linear gravitation, the curvature of space-time can induce ground state degeneracy in quantum systems, break the continuum symmetry of the vacuum and give rise to condensation in a system of identical particles. Condensation takes the form of a temperature-dependent correlation over distances, of momenta oscillations about an average momentum, of vortical structures and of a positive gravitational susceptibility. In the interaction with quantum matter and below a certain range, gravity is carried by an antisymmetric, second order tensor that satisfies Maxwell-type equations. Some classical and quantum aspects of this type of “gravitoelectromagnetism” were investigated. Gravitational analogues of the laws of Curie and Bloch were found for a one-dimensional model. A critical temperature for a change in phase from unbound to isolated vortices can be calculated using an XY-model.

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“…The final result is therefore

which is independent of

and coincides with the usual Unruh temperature [ 18 , 19 ]. This result, with the replacement

, where

is the maximal acceleration, also confirms a recent calculation [ 20 ] regarding particles whose accelerations has an upper limit. Equation ( 66 ) comes in fact from the term

that does not contain derivatives of

.…”

Section: The Gravitational Wkb Problemsupporting

confidence: 88%

“…Equation ( 66 ) comes in fact from the term

that does not contain derivatives of

. The difference from [ 20 ] and from [ 17 ], is, however, represented by the form of ( 59 ) of the decay rate [ 15 ], which carries a factor 2 in the exponential, as required by our invariant approach.…”

Section: The Gravitational Wkb Problemmentioning

confidence: 99%

Some Classical and Quantum Aspects of Gravitoelectromagnetism

Papini

2020

Entropy

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“…One of the most relevant predictions of this approach is the existence of a maximal value for the acceleration, which can be defined as either the upper limit to the proper acceleration experienced by massive particles along their worldlines [20,21] or an universal constant depending on the Planck mass [18,20,21]. The quantum geometry model finds several applications in different sectors of theoretical physics, such as cosmology, dynamics of accelerated strings, black hole physics, neutrino oscillations and relativistic kinematics in non-inertial frames [21][22][23][24][25][26][27][28][29][30][31][32][33]. Specifically, in Ref.…”

Section: Introductionmentioning

confidence: 99%

GUP parameter from maximal acceleration

Luciano

Petruzziello

2019

Eur. Phys. J. C

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We exhibit a theoretical calculation of the parameter β appearing in the generalized uncertainty principle (GUP) with only a quadratic term in the momentum. A specific numerical value is obtained by comparing the GUP-deformed Unruh temperature with the one predicted within the framework of Caianiello's theory of maximal acceleration. The physical meaning of this result is discussed in connection with constraints on β previously fixed via both theoretical and experimental approaches.PACS numbers: * gluciano@sa.infn.it † lpetruzziello@na.infn.it 1 Throughout the work, we set = c = 1, but we explicitly show the Newton constant G and the Boltzmann constant k B . The Planck length is defined as ℓp = √ G, the Planck energy as Ep ℓp = 1/2, and the Planck mass as mp = Ep, so that 2 ℓp mp = 1.

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“…It has also been shown that the quantum value of maximum acceleration is in relation with the rate of the universe expansion during the Planck era [101]. Moreover, this upper bound can modify Unruh temperature [102]. It is useful to note here that there are also another corrections to Unruh temperature found in Refs.…”

Section: Introductionmentioning

confidence: 68%

Implications of Maximum Acceleration on Dynamics

Moradpour¹,

Sheykhi²

2018

Iran J Sci Technol Trans Sci

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Considering the corrected Unruh temperature as well as the entropic force perspective of gravity, we are able to derive the modification of the Newton's law of gravity. In addition, we also investigate the effects of the highest achievable acceleration correction to the Unruh temperature on the Poisson equation. Moreover, we address modifications to the Newtonian cosmology as well as the Friedmann equations corresponding to the upper bound for acceleration.

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Unruh temperature with maximal acceleration

Cited by 14 publications

References 32 publications

Some Classical and Quantum Aspects of Gravitoelectromagnetism

Some Classical and Quantum Aspects of Gravitoelectromagnetism

GUP parameter from maximal acceleration

Implications of Maximum Acceleration on Dynamics

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