WebFeb 1, 2024 · The Wheeler-DeWitt equation for such a metric is solved numerically. In the presence of the cosmological constant $\Lambda$, we show that two classical wave packets can be annihilated inside the black hole horizon, i.e., the annihilation-to-nothing scenario. It is interesting that the Wheeler-DeWitt equation can be extended to the asymptotic de ... The Wheeler–DeWitt equation for theoretical physics and applied mathematics, is a field equation attributed to John Archibald Wheeler and Bryce DeWitt. The equation attempts to mathematically combine the ideas of quantum mechanics and general relativity, a step towards a theory of quantum gravity. In … See more All defined and understood descriptions of string/M-theory deal with fixed asymptotic conditions on the background spacetime. At infinity, the "right" choice of the time coordinate "t" is determined (because the space-time is … See more In canonical gravity, spacetime is foliated into spacelike submanifolds. The three-metric (i.e., metric on the hypersurface) is $${\displaystyle \gamma _{ij}}$$ and given by In that equation the … See more • ADM formalism • Diffeomorphism constraint • Euclidean quantum gravity See more The Wheeler–DeWitt equation is a functional differential equation. It is ill-defined in the general case, but very important in theoretical physics, especially in quantum gravity. It is a functional differential equation on the space of three dimensional spatial … See more
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WebJan 26, 2024 · The McGinty equation and the Wheeler-DeWitt equation are two mathematical models that have been developed in different areas of physics. The McGinty equation is a model used to describe the ... WebWe present a discrete form of the Wheeler-DeWitt equation for quantum gravitation, based on the lattice formulation due to Regge. In this setup the infinite-dimensional … tsunamis in the last 50 years
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Webquantum cosmology of the superstring by solving the corresponding Wheeler-DeWitt (WDW) equation for the effective action [3, 41. String theory and the WDW equation may be related at a fundamental level. It has been shown that the effective action S may be written as an integral over a spatial hypersurface that does not depend on cosmic time [5]. WebAug 22, 2024 · The Wheeler-DeWitt equation provides the probability distribution for the cur-vature perturbation, the gauge invariant quantum uctuation of the in aton. From this, we can nd a tower of power spectra which is not found in a perturbative approach. Since the power spectrum for the modes that cross the horizon contributes to the uncertainty in the Webing equation of such a function, and the central equation to quantum cosmology is known as the Wheeler-DeWitt equation. This equation, which the wave function must satisfy, takes steps towards a theory of quantum gravity as it blends ideas from both quantum mechanics and general relativity by Dirac quantizing the Hamiltonian phmonnerat music