论文标题

复杂的量子和经典力学

Complexified quantum and classical mechanics

论文作者

Prvanović, Slobodan

论文摘要

引入并应用了坐标和动量的反自动接合操作员,并在不可避免地会出现动量的想象值的潜在障碍物中讨论隧道。通过类似的方式进行了穿过颞障碍的隧道,这表明量子系统可以隧道,而经典系统则被这种屏障破坏。坐标和动量的假想可观察物用于通过事件视野的新通过处理。通过将事件视野视为有限势障碍的边界,发现黑洞的中心没有奇异性。坐标和动量的假想变量用于构建宇宙玩具模型。结果表明,由于存在负能量和虚构世界的特征,因此宇宙扩展的加速不需要暗示。

The anti self-adjoint operators of coordinate and momentum are introduced and applied in discussion of tunneling through the potential barrier where imaginary value of momentum unavoidably appears. Tunneling through temporal barrier is proceeded in a similar way and it is shown that the quantum system can tunnel, while the classical systems are destroyed by such barrier. The imaginary observables of coordinate and momentum are used in a novel treatment of passage through the event horizon. By considering the event horizon as the border of the finite potential barrier, it is found that there is no singularity at the center of a black hole. The imaginary variables of coordinate and momentum are used for the construction of a toy model of the universe. It is shown that the acceleration of the expansion of the universe does not need dark energies to be explained since negative energies are present and characteristic for the imaginary world.

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