Samuel Bellini Leite, gostaria de receber seus comentários e dos colegas sobre o texto abaixo, que seria o esboço de um modelo lógico-matemático de uma física qualitativa. Para desenvolver melhor o aspecto formal, preciso da ajuda de gente qualificada como o José Monserrat Neto Let N be a generic natural system. N is described at three spatial scales, N1 (subatomic), N2 (microscopic) and N3 (macroscopic) The ensemble of all possible states of N is given by the state space of N(1,2,3). Each N2 state is composed by a selection of N1 states. Each N3 state can be formed by many N2 states, but in a temporal moment only one is actualized. N1 The elements of N1 are submicroscopic vibrating strings Sn. Each Sn1 has a variety of possible states. Each Sn1 at a moment of time is in a definite location and has a single qualitative state defined by the pattern of vibration. Each potential state Sn is equiprobable in the long run (an adaptation of Liouville Theorem). Each Sn continuously fluctuates between all its possible states. N2 The elements of N2 are wave packets containing a transient Sn collection. A microstate is defined by the Heisemberg Matrix, which contains the respective Sn collection. While the wave packet is in the coherent kind of state, the Sn qualities are superposed. N3 The quality of a macrostate (Mi) of N is given by the dominant mode of the Sn elements actualized in the respective microstate. The dominant mode can be narrow or wide, depending on the entropy of the system. When the entropy increases and the wave packet decoheres, only the diagonal of the matrix is actualized. In this case, the diagonal constitutes a narrow dominant mode. When entropy decreases and the wave packet remains coherent, all superposed qualities have an opportunity to be expressed in the macrostate, in different degrees of dominance, thus composing a wide dominant mode. In a wide dominant mode, the mechanism of Order from Fluctuation (Prigogine and Nicolis) is active and allows for a temporal dynamics with the emergence of qualitites in the macrostate (an emergence is defined as a qualitative variation in the dominant mode).
Posted on: Sun, 27 Jul 2014 10:40:28 +0000
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