超弦理論が表す高次元時空の重力とその測定法の検討― 原子間力顕微鏡法 ―

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  • Evaluation of Method of Measuring Gravity in Higher-Dimensional Spacetime Derived from Superstring Theory ― Atomic Force Microscopy ―
  • チョウゲン リロン ガ アラワス コウジゲン ジクウ ノ ジュウリョク ト ソノ ソクテイホウ ノ ケントウ : ゲンシ カンリョク ケンビキョウホウ

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Based on the brane world scenario derived from the superstring theory, this article examines a possibility of detecting higher-dimensional spacetime with an atomic force microscope (AFM). The spacetime assumed in this scenario contains an extra dimension in addition to the“ observed” (1 + 3)-dimensional spacetime, where the 3-dimensional space, i.e., the universe is called the brane world. The extra dimension is supposed to have d spacial dimensions and be compactified in the small region of a size. The following facts play essential roles in our discussion; only the gravity spreads over the extra dimension as well as the brane, and the strength of the gravity in the extra dimension is stronger than that in the brane, so-called, the Newtonian gravity. We first calculate the size of the extra dimension and the gravitational constant in it. Using the results, we estimate whether AFM can detect the extra dimension by measuring the gravitational force and interval between two xenonatoms. We find that the strength of gravity becomes stronger and the interval shorter in extra dimensions, d ＝ 1, 2, 3. These values are too small to be detected with AFM.

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