From the Anti-Yang Model to the Anti-Snyder Model and Anti-De Sitter Special Relativity

  • Received Date: January 03, 2013
  • Revised Date: March 28, 2013
  • Published Date: March 31, 2013
  • Based on Yang's quantized space-time model, a complete Yang model from (5+1)-dimensional space with Minkowski signature is discussed using the projective geometry method and Dirac procedure. We introduce an anti-Yang model and an anti-Snyder model to discuss the duality relations between the anti-Snyder model and anti-de Sitter special relativity.
  • Article Text

  • [1] Tegmark M et all 2004 Phys. Rev. D 69 103501 doi: 10.1103/PhysRevD.69.103501
    [2] Maldacena J 1998 Adv. Theor. Math. Phys. 2 231
    [3] Aharony O, Gubser S, Maldacena J, Ooguri H and Oz Y 2000 Phys. Rep. 323 183
    [4] Guo H Y, Huang C G, Xu Z and Zhou B 2004 Mod. Phys. Lett. A 19 1701
    [5] Guo H Y, Huang C G, Xu Z and Zhou B 2005 Chin. Phys. Lett. 22 2477
    [6] Guo H Y, Huang C G, Tian Y, Xu Z and Zhou B 2005 Acta Phys. Sin. 54 2494
    [7] Guo H Y, Huang C G and Zhou B 2005 Europhys. Lett. 72 1045
    [8] Huang C G, Guo H Y, Tian Y, Xu Z and Zhou B 2007 Int. J. Mod. Phys. A 22 2535
    [9] Tian Y, Guo H Y, Huang C G, Xu Z and Zhou B 2005 Phys. Rev. D 71 044030
    [10] Guo H Y 2007 Phys. Lett. B 653 88
    [11] Yan M L, Xiao N C, Huang W and Li S 2007 Commun. Theor. Phys. 48 27
    [12] Guo H Y, Huang C G, Tian Y, Wu H T, Xu Z and Zhou B 2007 Class. Quantum Grav. 24 4009
    [13] Guo H Y 2008 Sci. Chin. Math. 51 568
    [14] Guo H Y, Huang C G, Tian Y, Xu Z and Zhou B 2007 Front. Phys. Chin. 2 318
    [15] Lu Q K, Zou Z L and Guo H Y 1974 Acta Phys. Sin. 23 225 (in Chinese)
    [16] Snyder H S 1947 Phys. Rev. 71 38
    [17] Yang C N 1947 Phys. Rev. 72 874
    [18] Guo H Y, Huang C G and Wu H T 2008 Phys. Lett. B 663 270
    [19] Wu H T, Huang C G and Guo H Y 2008 Chin. Phys. Lett. 25 2751
    [20] Ren X A and Zhang L Y 2008 Commun. Theor. Phys. 50 1151
    [21] Ren X A, Wang G D and Chen L 2011 Acta Math. Sin. 27 1743
    [22] Dirac P A M 1936 Ann. Math. 37 429
    [23] Lu Q K 2005 Commun. Theor. Phys. 44 389
    Dirac's conformal spaces and de Sitter spaces, in memory of the 100th anniversary of Einstein special relativity and the 70th anniversary of Dirac's de Sitter spaces and their boundaries MCM-Workshop Series vol 1
    [24] Dirac P A M 1964 Lecture on Quantum Mechanics (New York: Yeshiva University)
  • Related Articles

    [1]JIANG Xiang-Ping, CHEN Wan-Ping, PENG Zhi, ZENG Min, CHAN-WANG Li-Hua, YIN Qing-Rui. Water-Induced Degradation in Lead Zinc Niobate--Lead Zirconate Titanate Soft Piezoelectric Ceramics [J]. Chin. Phys. Lett., 2005, 22(5): 1239-1242.
    [2]LIU Hui, ZHANG Bo, GONG Qi-Huang, BAI Yao-Wen, CHEN Xiao-Fang, WAN Xin-Hua, ZHOU Qi-Feng. A New Photorefractive Polymer/Liquid Crystal System [J]. Chin. Phys. Lett., 2001, 18(7): 909-911.
    [3]LIU Xian-cai, HU Guan-qin, FENG Xi-qi, LI Pei-jun, ZHANG Ming-rong, XU Li, YIN Zhi-wen. Influence of Sb on the Scintillation Properties of Lead Tungstate Crystal [J]. Chin. Phys. Lett., 1999, 16(10): 761-763.
    [4]YANG Chang-xi, ZHU Yong, ZHANG Dao-fan, NIU Xiao-juan, ZHOU Tang, WU Xing, LIU Hong-bin. Light-Induced Absorption in Photorefractive Barium Titanate Doped with Rhodium [J]. Chin. Phys. Lett., 1998, 15(8): 574-576.
    [5]LIU Feng-zhen, HAN Jian-ru, MAN Chang-feng, CHEN Huan-chu, HE Mao. Studies on Lead Tungstate Crystal [J]. Chin. Phys. Lett., 1998, 15(1): 46-47.
    [6]KONG Yong-fa, WEN Jin-ke, YANG Zheng-fang. Photorefraction Resistance of Na2O-Doped Lithium Niobate Single Crystals [J]. Chin. Phys. Lett., 1997, 14(8): 629-632.
    [7]GU Mu, CHEN Lingyan, DU Jie, XIANG Kaihua. Theoretical Calculations on Rare Earth Elements in Barium Fluoride Crystal [J]. Chin. Phys. Lett., 1995, 12(2): 76-78.
    [8]GUAN Qingcai, WANG Jiyang, WANG Min, LIU Yaogang, WEI Jingqian, ZHANG Zhiguo, YANG Changxi, YE Peixian. Photorefractive Properties of Paraelectric Copper Doped Potassium Tantalate Niobate [J]. Chin. Phys. Lett., 1991, 8(10): 515-517.
    [9]JIANG Quanzhong, CHEN Huanchu, SONG Yongyuan, SUN Daliang. GROWTH AND TWO-WAVE COUPLING PROPERTIES OF POTASSIUM SODIUM STRONTIUM BARIUM NIOBATE WITH A-SITES NOT FULLY-OCCUPIED [J]. Chin. Phys. Lett., 1990, 7(6): 272-275.
    [10]YUE Xuefeng, SHAO Zongshu, CHEN Huancho, WANG Yingsu. HIGH-SENSITIVITY HOLOGRAPHIC STORAGE IN Ce-DOPED STRONTIUM-BARIUM NIOBATE AT 632.8nm [J]. Chin. Phys. Lett., 1988, 5(9): 425-428.

Catalog

    Article views (0) PDF downloads (523) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return