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An important feature of loop quantum cosmology is the effective space-time description of the underlying quantum evolution. [10] The effective dynamics approach has been extensively used in loop quantum cosmology to describe physics at the Planck scale and the very early universe.
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Extended theories of gravity are alternative theories of gravity developed from the starting points investigated first by Albert Einstein and Hilbert. These are theories describing gravity, which are metric theory , "a linear connection" or related affine theories, or metric-affine gravitation theory .
This is the link between the gauge-invariant perturbation theory and the gauge-invariant covariant perturbation theory. Gauge invariance is only guaranteed if the choice of frame coincides exactly with that of the background; usually this is trivial to ensure because physical frames have this property.
This suggests the definition of a new class of inertial motion, namely that of objects in free fall under the influence of gravity. This new class of preferred motions, too, defines a geometry of space and time—in mathematical terms, it is the geodesic motion associated with a specific connection which depends on the gradient of the ...
According to Axe, the research he provides with his book disproves Darwin's theory of evolution, revealing "a gaping hole has been at its center from the beginning." Click through 10 books that ...
(Later, loop quantum gravity inherited this geometric interpretation of gravity, and posits that a quantum theory of gravity is fundamentally a quantum theory of spacetime.) In the 1920s, the French mathematician Élie Cartan formulated Einstein's theory in the language of bundles and connections, [ 1 ] a generalization of Riemannian geometry ...