Estimative for the size of the compactification radius of a one extra dimension Universe

Abstract

In this work, we use the Casimir effect to probe the existence of one extra dimension. We begin by evaluating the Casimir pressure between two plates in a $M^4\times S^1$ manifold, and then use an appropriate statistical analysis in order to compare the theoretical expression with a recent experimental data and set bounds for the compactification radius.

References in corpus (7)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Worldline algorithms for Casimir configurations
• Casimir edge effects
• The Casimir force between rough metallic plates
• Experiment and theory in the Casimir effect
• Development of a high sensitivity torsional balance for the study of the Casimir force in the 1-10 micrometer range
• Thermal and dissipative effects in Casimir physics

Cited by in corpus (23)

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• Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field
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• Casimir effect in DFR space-time
• Fermionic Casimir effect in the presence of compact dimension in field theory with Lorentz invariance violation