跳至主要内容

General Relativity as the Classical Limit of the Renormalizable Gauge Theory of Volume Preserving Diffeomorphisms

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47438#.VFnAF2fHRK0

The different roles and natures of spacetime appearing in a quantum field theory and in classical physics are analyzed implying that a quantum theory of gravitation is not necessarily a quantum theory of curved spacetime. Developing an alternative approach to quantum gravity starts with the postulate that inertial energy-momentum and gravitational energy-momentum need not be the same for virtual quantum states. Separating their roles naturally leads to the quantum gauge field theory of volume-preserving diffeomorphisms of an inner four-dimensional space. The classical limit of this theory coupled to a quantized scalar field is derived for an on-shell particle where inertial energy-momentum and gravitational energy-momentum coincide. In that process the symmetry under volume-preserving diffeomorphisms disappears and a new symmetry group emerges: the group of coordinate transformations of four-dimensional spacetime and with it General Relativity coupled to a classical relativistic point particle.
Cite this paper
Wiesendanger, C. (2014) General Relativity as the Classical Limit of the Renormalizable Gauge Theory of Volume Preserving Diffeomorphisms. Journal of Modern Physics, 5, 948-958. doi: 10.4236/jmp.2014.510098.

References


[1] Weinberg, S. (1995) The Quantum Theory of Fields I. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9781139644167
[2] Weinberg, S. (1996) The Quantum Theory of Fields II. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9781139644174
[3] Itzykson, C. and Zuber, J.-B. (1985) Quantum Field Theory. McGraw-Hill, Singapore.
[4] Cheng, T.-P. and Li, L.-F. (1984) Gauge Theory of Elementary Particle Physics. Oxford University Press, Oxford.
[5] Weinberg, S. (1972) Gravitation and Cosmology. John Wiley & Sons, New York.
[6] Landau, L.D. and Lifschitz, E.M. (1981) Lehrbuch der Theoretischen Physik II: Klassische Feldtheorie. Akademie-Verlag, Berlin.
[7] Will, C.M. (1993) Theory and Experiment in Gravitational Physics. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9780511564246
[8] Wiesendanger, C. (2013) Journal of Modern Physics, 4, 37. arXiv:1102.5486 [math-ph]
[9] Wiesendanger, C. (2013) Journal of Modern Physics, 4, 133. arXiv:1103.1012 [math-ph]
[10] Wiesendanger, C. (2013) A Renormalizable Theory of Quantum Gravity: Renormalization Proof of the Gauge Theory of Volume Preserving Dieomorphisms. arXiv:1308.2384 [math-ph]
[11] Wiesendanger, C. (2013) Classical and Quantum Gravity, 30, 075024. arXiv:1203.0715 [math-ph]
http://dx.doi.org/10.1088/0264-9381/30/7/075024
[12] Wiesendanger, C. (2012) Scattering Cross-Sections in Quantum Gravity—The Case of Matter-Matter Scattering.
arXiv:1208.2338 [math-ph]
http://arxiv.org/pdf/1208.2338.pdf                        eww141105lx
标签：

评论

发表评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...
发表评论
阅读全文

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...
发表评论
阅读全文