Abstract An effective operational approach to quantum mechanics is focus on the evolution of wave-packets, for which wave-function can be seen in semi-classical regime as representing a classical motion dressed with extra degrees freedom describing shape wave-packet and its fluctuations. These dressing are independent freedom, mathematically encoded higher moments wave-function. We review how ext...

We first show that the currently accepted statistical mechanics for granular matter is flawed. The reason is that it is based on the volume function, which depends only on a minute fraction of all the structural degrees of freedom and is unaffected by most of the configurational microstates. Consequently, the commonly used partition function underestimates the entropy severely. We then propose ...

Motivated by the recent proposition by Buniy, Hsu and Zee with respect to discrete space-time and finite spatial degrees of freedom of our physical world with a shortand a long-distance scales, lP and L, we reconsider the Lorentz-covariant Yang’s quantized space-time algebra (YSTA), which is intrinsically equipped with such two kinds of scale parameters, λ and R. In accordance with their propos...

Gedankenexperiments have consistently played a major role in the development of quantum theory. A paradigmatic example is Wheeler's delayed-choice experiment, a wave-particle duality test that cannot be fully understood using only classical concepts. We implement Wheeler's idea along a satellite-ground interferometer that extends for thousands of kilometers in space. We exploit temporal and pol...

A new efficient method is presented for the numerical computation of families of periodic orbits of systems with three or more degrees of freedom. This method is based on a well-known procedure using the variational equations as well as on unconstrained optimization techniques. This combination accelerates the convergence of previous schemes. The new composite method has been implemented here o...

In this paper we discuss how the gauge principle can be applied to classical-mechanics models with finite degrees of freedom. The local invariance a model is understood as its under action matrix Lie group transformations parametrized by arbitrary functions. It formally presented property introduced in such systems, followed modern applications. Furthermore, Lagrangians describing systems are s...