arXiv subjects

Walter Gessner

Publications and source records attributed to Walter Gessner.

4 recordsLinked to original sources

arXiv2018

Intrinsic operator time of stochastic systems

Stochastic systems consisting of a very large number of independent elementary processes of the same kind, especially the radioactive decay, are considered as quantum clocks. By adapting the framework of the previously introduced concept of ideal quantum clocks, the time operator for these systems is derived and discussed. It is shown that the standard deviation of time measurement by such a stochastic device is bounded from below by the limitation of the number of elementary processes from physical reasons and by the Planck-time. As a result, any time dilatation, whether caused by extreme speed of the quantum clock or by gravitational fields, increases the standard deviation. This reduces the accuracy of time measurements especially in space navigation. In the vicinity of the Schwarzschild spherical shell of a black hole, time measurements are completely blurred and thus impossible.

quant-ph↗

arXiv2015

Ideal quantum clocks and operator time

In the framework of any quantum theory in the Schroedinger picture a general operator time concept is given. For this purpose certain systems are emphasized as ideal quantum clocks. Their definition follows heuristically from a common property of ideal clocks and from general postulates of traditional quantum theory. Any such ideal quantum clock allows the definition of a symmetric time operator T. T and the Hamiltonian H necessarily satisfy the time-energy uncertainty relation. The argument of Pauli against the existence of any time operator does not strike, because T is symmetric but not selfadjoint.

quant-ph↗

arXiv2015

Structural consequences of the coupling of gravitons

The hypothetical but in string theories predicted gravitons and their allied quanta of the linearized gravitation field G yield, when coupled with other particles T, a remarkable structure of the entire state space S and an autonomous concept of observables. It is shown that S is spanned by a family of continuously many, pairwise orthogonal, pre-Hilbert spaces, called sectors. Each sector is the tensor product of an eigenspace of the operator of the 4-momentum distribution within the state space of T, and a corresponding eigenspace within the state space of G, both with any spatial distribution of the total 4-momentum as the eigenvalue 4-vector. Thus the states from any sector and so far the entirety of 4-momentum densities appear to be inseparably dressed by the quanta of G. Probably this dressing contributes to the dark matter. Furthermore, the special structure of the sectors lead to an own concept of observables, all of which commute from the beginning with the operator of the 4-momentum distribution.

physics.gen-ph↗

arXiv2014

Ideal quantum clocks and the measurement of time

The recently introduced concept of an "ideal quantum clock" (IQC) is extended. Especially it is shown that the time operator of an IQC is canonically conjugated to the Hamiltonian of the IQC in a certain pre-Hilbert space. Further it is discussed how the IQC interacts with another physical system D and to what extent the IQC measures the time differences of any prescribed initial and final states of D.

quant-ph↗