WebDec 30, 2024 · One proposal, due to Hartle and Hawking, is that "the initial boundary condition of the Universe is that it had no boundary." Popular books describe this proposal with varying degrees of accuracy. (See PBS's " Stephen Hawking's Universe" for a fairly good example.) By forgetting that the "no boundary proposal" is a quantum mechanical ... WebNov 16, 2024 · We propose a gravity dual description of the path-integral optimization in conformal field theories arXiv:1703.00456, using Hartle-Hawking wave functions in anti-de Sitter spacetimes. We show that the maximization of the Hartle-Hawking wave function is equivalent to the path-integral optimization procedure. Namely, the variation of the wave …
THE UNIVERSE OF STEPHEN HAWKING - Sydney Unitarian …
WebImaginary time is a mathematical representation of time which appears in some approaches to special relativity and quantum mechanics.It finds uses in connecting quantum mechanics with statistical mechanics and in certain cosmological theories. [citation needed]Mathematically, imaginary time is real time which has undergone a Wick … WebI'm confused about how to normalize the Hartle-Hawking state in 2D quantum gravity. We can compute the HH state for two circles of length $\ell_1$ and $\ell_2$ in the matrix model as $\langle W(\ell_1)W ... looking at formula $10.19$ with a analogy/reference to the chapter $4.3$, and formula $4.8$, ... lambeth drug and alcohol support
Path-Integral Optimization from Hartle-Hawking Wave Function
WebThermodynamics: the Bekenstein-Hawking entropy Maybe one of the most beautiful formulae in the eld of quantum gravity is the Bekenstein-Hawking entropy formula [2, 3]: S BH = A 4G c3 ~ = logW: (2.1) Black holes have an entropy proportional to the area (!) of their classical horizon, with a speci c factor of 1=4 in front. WebThe other really important paper by Hartle and Hawking is this one: 2) James Hartle and Stephen Hawking, Wavefunction of the universe, Phys. Rev. D28 (1983), 2960. In … WebRyu–Takayanagi conjecture. The Ryu–Takayanagi conjecture is a conjecture within holography that posits a quantitative relationship between the entanglement entropy of a conformal field theory and the geometry of an associated anti-de Sitter spacetime. [1] [2] The formula characterizes "holographic screens" in the bulk; that is, it specifies ... helowy