On the Possible Connections between Quantum Mechanics and Gravitation

F. Károlyházy

Faramarz Rahmani, Mehdi Golshani, Ghadir Jafari

In objective gravitational reduction of the wave function of a quantum system, the classical limit of the system is obtained in terms of the objective properties of the system. On the other hand, in Bohmian quantum mechanics the usual criterion for getting classical limit is the vanishing of the quantum potential or the quantum force of the system, which suffers from the lack of an objective description. In this regard, we investigated the usual criterion of getting the classical limit of a free particle in Bohmian quantum mechanics. Then we argued how it is possible to have an objective gravitational classical limit related to the Bohmian mechanical concepts like quantum potential or quantum force. Also we derived a differential equation related to the wave function reduction. An interesting connection will be made between Bohmian mechanics and gravitational concepts.

Yu. M. Maksimov

Axel J. J. Dietrich, W. Been

Motivated by the apparent lack of a workable hypothesis we developed a model to describe phenomena such as entanglement and the EPR-paradox. In the model we propose the existence of extra hidden dimensions. Through these dimensions it will be possible for particles, which originate from one source, to remain connected. This connection results in an instantaneous reaction of one particle when the other particle is manipulated. We imagine entanglement in such a model. The results of the experiments which have been performed on this item do not contradict with the existence of the extra dimension(s). In addition, the model opens the possibility to unify the theory of quantum mechanics, gravitation and the general theory of relativity.

Norbert Wiener, Dirk Jan Struik

Jose C. Moreno

One fundamental question is the connection between electrical and gravitational forces. We present a quantum entanglement model, with multiple discrete electrically charged wave-packets, that simulates gravitational attraction among them, where quantum states can have only two wave-packets with opposite charge polarities, with equal absolute values, while the rest remain neutral, relating those charges to gravitational masses. We present a thought experiment where neutrons are displaced by electric fields above the Schwinger limit, predicting their maximum possible corresponding displacement magnitudes and diminishments in their gravitational masses (with increments elsewhere), estimating an upper bound for the gravitational mass of each of those entangled wave packets allegedly constituting those neutrons. Thus, the realization of the experiment could verify the predictions, but cannot necessarily falsify the model. The model's significance rests in hypothesizing entanglements in a classical mechanical property without violating the measurement independence postulate and in its possible applications for gravity simulations with quantum systems.