经典和算符水平上物质和反物质不可逆性的Lie可容许不变起源
Lie-Admissible Invariant Origin of Irreversibility for Matter and Antimatter at the Classical and Operator Levels
摘要：
在整个20世纪，人们普遍认为不可逆性是一个没有算符对应的纯经典事件。然而，一个经典的不可逆系统不能被一致地分解成有限数量的可逆量子粒子（反之亦然），从而确定了不可逆性的起源在21世纪初基本上是未知的。为了解决这个问题，我们采用Lagrange和Hamilton关于不可逆性的历史分析表示，在其解析方程中加入外部项，证明了在适当的书写下，时间演化的括号表征了覆盖Lie-容许代数，证明了正则性有一个由强子力学的Lie-容许分支给出的完全相容的算子对应物;我们发现，当不可逆公式与用于可逆系统的传统数学处理时，灾难性的数学和物理不一致; 2并表明，当动力学方程与一种新的不可逆数学处理时，李容许公式是完全一致的，因为在经典和算子水平上都是不变的。封闭的孤立系验证传统的总守恒律的情况下，但拥有不可逆的结构，通过李同位素子类的李容许配方处理。该分析是在经典和算子层面上对物质和反物质进行的，以防止仅对物质或单独对反物质进行研究时发生阴险的不一致，正如大一统问题所知的那样。
英文摘要：
It was generally believed throughout the 20-th century that irreversibility is a purely classical event without operator counterpart. However, a classical irreversible system cannot be consistently decomposed into a finite number of reversible quantum particles (and, vice versa), thus establishing that the origin of irreversibility is basically unknown at the dawn of the 21-th century. To resolve this problem, we adopt the historical an- alytic representation of irreversibility by Lagrange and Hamilton with external terms in their analytic equations; we show that, when properly written, the brackets of the time evolution characterize covering Lie-admissible algebras; we show that the for- malism has a fully consistent operator counterpart given by the Lie-admissible branch of hadronic mechanics; we identify catastrophic mathematical and physical inconsis- tencies when irreversible formulations are treated with the conventional mathematics used for reversible systems; and show that, when the dynamical equations are treated with a novel irreversible mathematics, Lie-admissible formulations are fully consistent because invariant at both the classical and operator level. The case of closed-isolated systems verifying conventional total conservation laws, yet possessing an irreversible structure, is treated via the Lie-isotopic subclass of Lie-admissible formulations. The analysis is conducted for both matter and antimatter at the classical and operator levels to prevent insidious inconskistenmcies occurring for the sole study of matter or, separately, antimatter, as known known for the problem of grand unificationsr.
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