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in 1943, renowned Austrian physicist Edwin Schrodinger asked “What is Life?”
thereby invigorating the debate which preoccupied biologists at the time. He
proposed an answer to this question rooted in considerations borrowed from
Thermodynamics and Statistical Mechanics. To reveal the missing link in Biology-Physics,
the present Note investigates an alternate answer in which dynamical action,
rather than thermodynamics and energy, plays the fundamental role. It reviews
in particular the process of biological cell replication which may be
considered to define “Life” and might be the macroscopic manifestation of an
underlying quantum physical process in which xons, conveyors of dynamical
action, are the determining agents.
In dynamical systems, the system suddenly becomes unstable due to
parameter perturbation which corresponds to environmental changes or major
incidents. To avoid such instabilities in engineering systems, tuning system
parameters is very important. In this paper, we propose a method for obtaining
optimal parameter values in a parameterized dynamical system. Here, the optimal
value means the farthest point from the bifurcation curves in a bounded
parameter plane. As illustrated examples, we show the results of
continuous-time and discrete-time systems. Our algorithm can find the optimal
parameter values in both systems.
In this paper, we derive an explicit form in terms of
end-point data in space-time for the classical action, i.e. integration of the Lagrangian
along an extremal, for the nonlinear quartic oscillator evaluated on extremals.
a new family of percolation models. We show, using theory and computer
simulations, that these represent a new universality class. Interestingly,
systems in this class appear to violate the Harris criterion, making model
systems within these class ideal systems for studying the influence of disorder
on critical behavior. We argue that such percolative systems have already been
realized in practice in strongly correlated electron systems that have been
driven to the quantum critical point by means of chemical substitution.