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A Wheeler-DeWitt Equation with Time
Marcello Rotondo
The equation for canonical gravity produced by Wheeler and DeWitt in the late 1960s still presents difficulties both in terms of its mathematical solution and its physical interpre…
The Functional Schrodinger Equation in the Semiclassical Limit of Quantum Gravity with a Gaussian Clock Field
Marcello Rotondo
We derive the functional Schrodinger equation for quantum fields in curved spacetime in the semiclassical limit of quantum geometrodynamics with a Gaussian incoherent dust acting a…
Clock Time in Quantum Cosmology
Marcello Rotondo, Yasusada Nambu
We consider the conditioning of the timeless solution to the Wheeler-DeWitt equation by a predefined matter clock state in the simple scenario of de Sitter universe. The resulting…
The decoherence and interference of cosmological arrows of time for a de Sitter universe with quantum fluctuations
Marcello Rotondo, Yasusada Nambu
We consider the superposition of two semiclassical solutions of the Wheeler-DeWitt equation for a de Sitter universe, describing a quantized scalar vacuum propagating in a universe…
Quantum Cramer-Rao bound for a Massless Scalar Field in de Sitter Space
Marcello Rotondo, Yasusada Nambu
How precisely can we estimate cosmological parameters by performing a quantum measurement on a cosmological quantum state? In quantum estimation theory the variance of an unbiased…