### Abstract

A semiclassical gravitation model is outlined which makes use of the Casimir energy density of vacuum fluctuations in extra compactified dimensions to produce the present-day cosmological constant as ρΛ ∼ M^{8}/M^{4}
_{p}, where M p is the Planck scale and M is the weak interaction scale. The model is based on (4 + D)-dimensional gravity, with D = 2 extra dimensions with radius b(t) curled up at the ADD length scale b_{0} = M_{p}/M^{2} ∼ 0.1 mm. Vacuum fluctuations in the compactified space perturb b_{0} very slightly, generating a small present-day cosmological constant. The radius of the compactified dimensions is predicted to be b_{0} ≈ k^{1}/^{4}0.09 mm (or equivalently M ≈ 2.4 TeV/k^{1/8}), where the Casimir energy density is k/b^{4}. Primordial inflation of our three-dimensional space occurs as in the cosmology of the ADD model as the inflaton b(t), which initially is on the order of 1/M ∼ 10^{-17} cm, rolls down its potential to b_{0}.

Original language | English (US) |
---|---|

Pages (from-to) | 21-25 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 524 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 3 2002 |

### Fingerprint

### Keywords

- Cosmological constant
- Extra dimensions
- Inflationary cosmology

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Primordial inflation and present-day cosmological constant from extra dimensions.** / Gardner, Carl.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Primordial inflation and present-day cosmological constant from extra dimensions

AU - Gardner, Carl

PY - 2002/1/3

Y1 - 2002/1/3

N2 - A semiclassical gravitation model is outlined which makes use of the Casimir energy density of vacuum fluctuations in extra compactified dimensions to produce the present-day cosmological constant as ρΛ ∼ M8/M4 p, where M p is the Planck scale and M is the weak interaction scale. The model is based on (4 + D)-dimensional gravity, with D = 2 extra dimensions with radius b(t) curled up at the ADD length scale b0 = Mp/M2 ∼ 0.1 mm. Vacuum fluctuations in the compactified space perturb b0 very slightly, generating a small present-day cosmological constant. The radius of the compactified dimensions is predicted to be b0 ≈ k1/40.09 mm (or equivalently M ≈ 2.4 TeV/k1/8), where the Casimir energy density is k/b4. Primordial inflation of our three-dimensional space occurs as in the cosmology of the ADD model as the inflaton b(t), which initially is on the order of 1/M ∼ 10-17 cm, rolls down its potential to b0.

AB - A semiclassical gravitation model is outlined which makes use of the Casimir energy density of vacuum fluctuations in extra compactified dimensions to produce the present-day cosmological constant as ρΛ ∼ M8/M4 p, where M p is the Planck scale and M is the weak interaction scale. The model is based on (4 + D)-dimensional gravity, with D = 2 extra dimensions with radius b(t) curled up at the ADD length scale b0 = Mp/M2 ∼ 0.1 mm. Vacuum fluctuations in the compactified space perturb b0 very slightly, generating a small present-day cosmological constant. The radius of the compactified dimensions is predicted to be b0 ≈ k1/40.09 mm (or equivalently M ≈ 2.4 TeV/k1/8), where the Casimir energy density is k/b4. Primordial inflation of our three-dimensional space occurs as in the cosmology of the ADD model as the inflaton b(t), which initially is on the order of 1/M ∼ 10-17 cm, rolls down its potential to b0.

KW - Cosmological constant

KW - Extra dimensions

KW - Inflationary cosmology

UR - http://www.scopus.com/inward/record.url?scp=0037011870&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037011870&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(01)01372-7

DO - 10.1016/S0370-2693(01)01372-7

M3 - Article

AN - SCOPUS:0037011870

VL - 524

SP - 21

EP - 25

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -