TY - JOUR
AU - Fiscaletti, D.
PY - 2012/05/30
Y2 - 2024/06/24
TI - The Geometrodynamic Nature of the Quantum Potential
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 57
IS - 5
SE - General problems of theoretical physics
DO - 10.15407/ujpe57.5.560
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021273
SP - 560
AB - <p>The de Broglie–Bohm theory allows us to have got a satisfactory geometrodynamic interpretation of quantum mechanics. The fundamental element, which creates a geometrodynamic picture of the quantum world in the non-relativistic domain, a relativistic curved space-time background, and the quantum gravity domain, is the quantum potential. It is shown that, in the non-relativistic domain, the geometrodynamic nature of the quantum potential follows<br>from the fact that it is an information potential containing a space-like active information on the environment; the geometric properties of the space expressed by the quantum potential determine non-local correlations between subatomic particles. Moreover, in the de Broglie–Bohm theory in a curved space-time, it is shown that the quantum, as well as the gravitational, effects of matter have geometric nature and are highly related: the quantum potential can be interpreted as the conformal degree of freedom of the space-time metric, and its presence is equivalent to the curved space-time. It is shown on the basis of some recent research that, in quantum gravity, we have a generalized geometric unification of gravitational and quantum effects of matter; Bohm's interpretation shows that the form of a quantum potential and its relation to the conformal degree of freedom of the space-time metric can be derived from the equations of motion.</p>
ER -