Unitarity ofS-matrix in gravidynamics and general covariance in quantum domain

Characteristic length scale of the post-Newtonian corrections to the gravitational field of a body is given by its gravitational radius r g . The role of this scale in quantum domain is discussed in the context of the low-energy effective theory. The question of whether quantum gravity effects appear already at r g leads to the question of correspondence between classical and quantum theories, which in turn can be unambiguously resolved by considering the issue of general covariance. The O(ℏ0) loop contributions turn out to violate the principle of general covariance, thus revealing their essentially quantum nature. The violation is O(1/N), where N is the number of particles in the body. This leads naturally to a macroscopic formulation of the correspondence principle.

Download Full-text

General Covariance, Spectrum of Riemannium, and a Stress Test Calculation Formula

SSRN Electronic Journal ◽

10.2139/ssrn.2257592 ◽

2011 ◽

Author(s):

Piotr Chmielowski

Keyword(s):

Stress Test ◽

General Covariance ◽

Calculation Formula ◽

Test Calculation

Download Full-text

8. General Covariance

Principles of Physical Cosmology ◽

10.1515/9780691206721-010 ◽

2020 ◽

pp. 227-244

Keyword(s):

General Covariance

Download Full-text

Learning Unsupervised and Supervised Representations via General Covariance

IEEE Signal Processing Letters ◽

10.1109/lsp.2020.3044026 ◽

2020 ◽

pp. 1-1

Author(s):

Yun-Hao Yuan ◽

Jin Li ◽

Yun Li ◽

Jianping Gou ◽

Jipeng Qiang

Keyword(s):

General Covariance

Download Full-text

Paradigms and Paradoxes: The philosophical challenge of the quantum domain

Philosophia ◽

10.1007/bf02379933 ◽

1976 ◽

Vol 6 (2) ◽

pp. 333-344 ◽

Cited By ~ 1

Author(s):

Jeffrey Bub ◽

William Demopoulos

Keyword(s):

Quantum Domain ◽

Philosophical Challenge

Download Full-text

Asymptotic Expansions of the Null Distributions of Discrepancy Functions for General Covariance Structures Under Nonnormality

American Journal of Mathematical and Management Sciences ◽

10.1080/01966324.2010.10737795 ◽

2010 ◽

Vol 30 (3-4) ◽

pp. 385-422 ◽

Cited By ~ 2

Author(s):

Haruhiko Ogasawara

Keyword(s):

Asymptotic Expansions ◽

Covariance Structures ◽

General Covariance ◽

Null Distributions

Download Full-text

GENERAL COVARIANCE, TOPOLOGICAL QUANTUM FIELD THEORIES AND FRACTIONAL STATISTICS

International Journal of Modern Physics A ◽

10.1142/s0217751x92000144 ◽

1992 ◽

Vol 07 (02) ◽

pp. 209-234 ◽

Cited By ~ 1

Author(s):

J. GAMBOA

Keyword(s):

Hamiltonian Formalism ◽

Field Theories ◽

General Covariance ◽

Quantum Field Theories ◽

Quantum Field ◽

Fractional Statistics ◽

Multiply Connected ◽

Topological Quantum ◽

Gauge Fixing ◽

Topological Quantum Field Theories

Topological quantum field theories and fractional statistics are both defined in multiply connected manifolds. We study the relationship between both theories in 2 + 1 dimensions and we show that, due to the multiply-connected character of the manifold, the propagator for any quantum (field) theory always contains a first order pole that can be identified with a physical excitation with fractional spin. The article starts by reviewing the definition of general covariance in the Hamiltonian formalism, the gauge-fixing problem and the quantization following the lines of Batalin, Fradkin and Vilkovisky. The BRST–BFV quantization is reviewed in order to understand the topological approach proposed here.

Download Full-text