Maxim Budaev | Searcharxiv

arXiv2008

Exploring Landscape, renormgroup quantization

In this paper the Landscape potential is considered as an environment for system: trajectory-environment (TE). The trajectory is generating a measure on the landscape. The entropy of this dynamic measure is a power factor for trajectory. This dynamics leads to a memory appearance and produces a non-singular measure practically independently from initial conditions. It is shown that measure is dual to the metrics and its evolution may be considered as the landscape deformations: production-destruction of attractors-vacua. It seems like the renormalization process with phase transitions: renormgroup quantization. It is shown what the entropy of this global landscape measure acts on the trajectory alike a dark energy.

physics.gen-ph↗

arXiv2007

Memory in the system: trajectory-environment

In the paper the memory effect in the system consisting from a trajectory of process and an environment is considered. The environment is presented by scalar potential and noise. The evolution of system is interpreted as process of the continuous "measurement" of a trajectory by an environment and\or on the contrary. In this sense the measured value is entropy-the information about embedding of the trajectory into configurations space. The concepts "measurement" and "interaction" are identified alike in quantum theory. Thus, the entropy evolution is not only the effect of dynamics, but also its cause, if it is possible to speak about causality in this case. It is shown, that such non-elastic interaction leads to occurrence of memory in the system. The reflex memory mechanism is realized as a real conformal dynamic metrics. The metastable event (attractor) is defined and time of its life is estimated. It is shown, that in the system there is a change of dynamic modes from spatial localization to random walk (fluctuation, relaxation). On scale of the attractors dynamics the memory is appearing as a semi-regular (in some information sense) drift of the image of fluctuations in a power spectrum of environment to absolute minimum. The latter properties (topological convergence) attract the attention to algorithmic aspect of a considered system.

physics.gen-ph↗