QUANTUM DETERMINISM FROM QUANTUM GENERAL COVARIANCE

General Covariance in Quantum Gravity

The question of general covariance in quantum gravity is considered in the first post-Newtonian approximation. Transformation properties of observable quantities under deformations of a reference frame, induced by variations of the gauge conditions fixing general invariance, are determined. It is found that the one-loop contributions violate the principle of general covariance, in the sense tha...

Anthropics versus Determinism in Quantum Gravity

Recently the multitude of vacua in string theory have led some authors to advocate the anthropic principle as a possible resolution for the contrived set of parameters that seem to govern our universe. I suggest that string theories should be viewed as effective theories, and hence of limited utility rather than as “theories of everything”. I propose that quantum gravity should admit a form of ...

Underlying Determinism, Stationary Phase and Quantum Mechanics

In a newly introduced time scale τ , much smaller than the usual t, any object is assumed to be a point-like particle, having a definite position. It fluctuates without dynamics and the wave function Ψ is defined by averaging the square root of the density. In t-scale, the Schrödinger equation holds and for a macrovariable just a classical path is picked up as a peak of Ψ by the stationary phas...

Covariance Approach to Quantum Theory

Quantum covariance , quantum Fisher information and the uncertainty principle

In this paper the relation between quantum covariances and quantum Fisher informations are studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given here considerably simplifies the previously proposed proofs and leads to more general inequalities. 2000Mathematics Subject Classification. Primary 62B10, 94A17; Seconda...