On nonlinear multidimensional gravity and the Casimir effect

Bolokhov, S. V.; Бронников, К. А.

doi:10.1134/s0202289316040034

“…It is quite possible that this phase transition is connected with the cooling of the expanding Universe and leads to the more stable state of the Universe's aggregation. Note also, that in work [21] was obtained the energetical spectrum of some kind of the scalar gravitational field that looks very similar to the energetical spectrum of helium. Thus, one can suppose that, as a result of this phase transition, we have obtained some kind of a superfluid state of the scalar matter and it may accelerate the expansion of the 4D Universe [18].…”

Section: V →mentioning

confidence: 68%

“…The last terms in Eqs. (21) and (22) are the components of the scalar 4D force which are caused by the dependence of the effective generalized rest mass 0 m on the scalar gravitational field. Here we have also put the well-known designations:…”

Section: A Gmentioning

confidence: 99%

Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology

Aliyev¹

2021

Preprint

0

View full text Add to dashboard Cite

It is shown that the 5D geodetic equations and 5D Ricci identities give us a way to create a new viewpoint on some problems of Modern Physics, Astrophysics, and Cosmology. Specifically, the application of the 5D geodetic equations in (4+1) and (3+1+1) splintered forms obtained with the help of the monad and dyad methods made it possible to introduce a new, effective generalized concept of the rest mass of the elementary particle. The latter leads one to novel connections between the General Relativity and quantum field theories, as well as all of that, including the (4+1) splitting of the 5D Ricci identities, brings about a better understanding of the magnetic monopole problem and the vital difference in the origins of the Maxwell equations and gives rise to surprising connections between them. The obtained results also provide new insight into the mechanism of the 4D Universe’s expansion and its following acceleration.

show abstract

“…The last terms in Eqs. (21) and (22) are the components of the scalar 4D force which are caused by the dependence of the effective generalized rest…”

Section: A Gmentioning

confidence: 99%

“…This acceleration, as well-known, was discovered more than twenty years ago with help of the observations after the type Ia supernovas' explosions. Also, we may add, that this transition and, then, further compactification of the 5th coordinate is possibly caused by the Casimir effect [21]. Besides, one can assume that in modern time we are not able to find these magnetic monopoles in the 4D Universe, maybe only a few of the relict ones [13,18].…”

Section: V →mentioning

confidence: 99%

Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology

Aliyev¹

2021

Preprint

1

0

View full text Add to dashboard Cite

It is shown that the 5D geodetic equations and 5D Ricci identities give us a way to create a new viewpoint on some problems of Modern Physics, Astrophysics, and Cosmology. Specifically, the application of the 5D geodetic equations in (4+1) and (3+1+1) splintered forms obtained with the help of the monad and dyad methods made it possible to introduce a new, effective generalized concept of the rest mass of the elementary particle. The latter leads one to novel connections between the General Relativity and quantum field theories, as well as all of that, including the (4+1) splitting of the 5D Ricci identities, brings about a better understanding of the magnetic monopole problem and the vital difference in the origins of the Maxwell equations and gives rise to surprising connections between them. The obtained results also provide new insight into the mechanism of the 4D Universe’s expansion and its following acceleration.

show abstract

“…The effective cosmological constant is Λ 4 = W (x 0 )/r 2 0 = W (x 0 )m 2 4 /V , and to conform to observations that require Λ 4 /m 2 4 ∼ 10 −120 , we must have roughly W (x 0 ) ∼ 10 −117 . Therefore, fine tuning is necessary: the dimensionless parameter λ should be close to the value at which W (x 0 ) = 0 with an accuracy depending on m = n. More precisely, according to (15), we have (for m = n and x = y )…”

Section: The Einstein Framementioning

confidence: 99%

On Cosmology in Nonlinear Multidimensional Gravity with Multiple Factor Spaces

Bolokhov

¹

,

Бронников

²

2018

Self Cite

View full text Add to dashboard Cite

Within the scope of multidimensional Kaluza-Klein gravity with nonlinear curvature terms and two spherical extra spaces S m and S n , we study the properties of an effective action for the scale factors of the extra dimensions. Dimensional reduction leads to an effective 4D multiscalar-tensor theory. Based on qualitative estimates of the Casimir energy contribution on a physically reasonable length scale, we demonstrate the existence of such sets of initial parameters of the theory in the case m = n that provide a minimum of the effective potential that yield a fine-tuned value of the effective 4D cosmological constant. The corresponding size of extra dimensions depends of which conformal frame is interpreted as the observational one: it is about three orders of magnitude larger than the standard Planck length if we adhere to the Einstein frame, but it is n -dependent in the Jordan frame, and its invisibility requirement restricts the total dimension to values D = 4 + 2n ≤ 20 . arXiv:1803.04904v1 [gr-qc]

show abstract

On nonlinear multidimensional gravity and the Casimir effect

Cited by 7 publications

References 19 publications

Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology

Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology

Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology

On Cosmology in Nonlinear Multidimensional Gravity with Multiple Factor Spaces

Contact Info

Product

Resources

About