| In this paper, we research into the affection of the extra dimensions withdifferent topologies and different numbers for the Casimir effect. In Chapter1, wereview the applications and calculations of the Casimir effect. In Chapter2, weintroduce several specific boundary conditions. In Chapter3, we study the workabout extra-dimensional boundary conditions with periodic boundary, analyze thelast results within the range of error in the experiment and gain the conditions ofconsidering the extra-dimensional effects and the contribution of number anddifferent scale ranging of extra dimensions. In the fourth chapter,we research intothe extra dimension with the helix boundary condition with differentextra-dimensional scale.The significance of the paper lies in that the results of thiswork can provide some theoretical basis in the experimental study ofhigh-dimensional space-time topology, are the first study of the vacuum energy inthe extra dimensions with the helix boundary and gain the affection of this boundarywith different number of extra dimension and different scale for the Casimir force. |
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