この記事には複数の問題があります。改善
やノートページでの議論にご協力ください。9次元（きゅうじげん、九次元）とは、空間の次元が9であること。具体的には、エウゲニオ・カラビによるカラビ予想の中でリッチ平坦を持つと予想され[1][2]、シン＝トゥン・ヤウによって証明されたカラビ・ヤウ空間の内の[3][4]、6次元の特殊な余剰空間と今の世界の3次元とを合わせた9次元のことである。
現在の観測技術では9次元を観測することはできない。なぜ観測できないかというと、コンパクト化されていて小さすぎるため、観測出来ないからである。また、この理論によって、今の世界がどのように誕生したか分かるようになるとされる。
脚注[脚注の使い方]
出典^ Calabi (1954)
^ Calabi (1957)
^ Yau (1977)
^ Yau (1978)
参考文献
Calabi, Eugenio (1954), ⇒“The space of Kahler metrics” (PDF), ⇒Proc. Internat. Congress Math. Amsterdam, 2, pp. 206–207, ⇒http://mathunion.org/ICM/ICM1954.2/Main/icm1954.2.0206.0207.ocr.pdf
Calabi, Eugenio (1957), “On Kahler manifolds with vanishing canonical class”, in Fox, Ralph H.; Spencer, D. C.; Tucker, A. W., Algebraic geometry and topology. A symposium in honor of S. Lefschetz, Princeton Mathematical Series, 12, Providence, R.I.: Princeton University Press, pp. 78?89, .mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation.cs-ja1 q,.mw-parser-output .citation.cs-ja2 q{quotes:"「""」""『""』"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:#d33}.mw-parser-output .cs1-visible-error{color:#d33}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}ISSN 2167-5163, MR0085583, OCLC 634330353, https://books.google.co.jp/books?id=n_ZQAAAAMAAJ&redir_esc=y&hl=ja
Yau, Shing Tung (1977). “Calabi's conjecture and some new results in algebraic geometry”. Proc. Natl. Acad. Sci. USA (Washington, D.C.: United States National Academy of Sciences) 74 (5): 1798?1799. doi:10.1073/pnas.74.5.1798. ISSN 0027-8424. JSTOR 00278424. LCCN 16-10069. MR0451180. OCLC 1607201.
Yau, Shing Tung (May 1978). “On the Ricci curvature of a compact Kahler manifold and the complex Monge-Ampere equation. I”. Communications on Pure and Applied Mathematics (New York: John Wiley & Sons) 31 (3): 339?411. doi:10.1002/cpa.3160310304. ISSN 0010-3640. LCCN 49-49208. MR480350. OCLC 476148166.
Tian, Gang; Yau, Shing-Tung (July 1990). “Complete Kahler manifolds with zero Ricci curvature, I”. Journal of the American Mathematical Society (Providence, R.I.: Amer. Math. Soc.) 3 (3): 579?609. doi:10.2307/1990928. ISSN 1088-6834. JSTOR 1990928. LCCN 88-648217. OCLC 15735952.
Tian, Gang; Yau, Shing-Tung (December 1991). “Complete Kahler manifolds with zero Ricci curvature, II”. Invent. Math. (New York: Springer-Verlag) 106 (1): 27?60. Bibcode: 1991InMat.106...27T. doi:10.1007/BF01243902. ISSN 0020-9910. LCCN 66-9875. OCLC 629078495.
Yau, Shing Tung (May 1978). “On the Ricci curvature of a compact Kahler manifold and the complex Monge-Ampere equation. I”. Communications on Pure and Applied Mathematics (New York: John Wiley & Sons) 31 (3): 339?411. doi:10.1002/cpa.3160310304. ISSN 0010-3640. LCCN 49-49208. MR480350. OCLC 476148166.
Yau, Shing-Tung (August 2009), ⇒A survey of Calabi-Yau manifolds, “Surveys in differential geometry. Vol. XIII. Geometry, analysis, and algebraic geometry: forty years of the Journal of Differential Geometry”, Scholarpedia, Surv. Differ. Geom. (Somerville, Massachusetts: Int. Press) 4 (8): 277?318, Bibcode: 2009SchpJ...4.6524Y, doi:10.4249/scholarpedia.6524, ISSN 1941-6016, MR2537089, OCLC 212417039, ⇒http://www.scholarpedia.org/article/Calabi-Yau_manifold
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