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Dineykhan, M.; Namsrai, Kh.
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Theoretical Physics1985
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Theoretical Physics1985
AbstractAbstract
[en] It is suggested that if space-time is quantized at small distances then even at the classical level the particle motion in whole space is complicated and described by a nonlinear equation. In the quantum space the Lagrangian function or energy of the particle consists of two parts: usual kinetic and rotation term determined by the square of the inner angular momentum-torsion torque origin of which is caused by quantum nature of space. Rotation energy and rotation motion of the particle disappear in the limit l→0, l is the value of the fundamental length. In the free particle case, in addition to the rectilinear motion the particle undergoes rotation given by the inner angular momentum. Different possible types of the particle motion are discussed. Thus, the scheme may shed light on the essence of the appearance of rotation or twisting, stochastic and turbulent types of motion in classical physics and, perhaps, on the notion of spin in quantum physics within the framework of quantum character of space-time at small distances
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1985; 17 p; 5 refs.; 2 figs.
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