协同原理与同构单位,修订版
The Principle of Synergy and Isomorphic Units, a revised version
摘要:
本文提出了一种解决部分和整体问题的方法,该方法使用一种复杂的数学表示,允许将合弄概念定义为一个单元,尽管进行了复杂的运算,如积分和求导,但它仍然是一个单元。这是由于欧拉关系显著的同构性质。然后,我们可以定义一个独立于观察者和对象的域,其中对象被嵌入。这样,我们就能得到一个没有“观察者缺陷”的量子力学解。波普尔一生都在试图从哲学的角度去寻找,而这正是爱因斯坦对量子力学的主要关注。一个单位,尽管有复杂的运算,如积分和推导,但总是具有相似或相同的结构或形式,是新的复杂性科学或系统科学的理想单位,其中结构或形式,整体性,组织和复杂性是主要要求。在摆公式的情况下,给出了验证所得结果的表格。
英文摘要:
A solution to the part and whole problem is presented in this paper by using a complex mathematical representation that permits to define the Holon concept as a unit that remains itself in spite of complex operations such as integration and derivation. This can be done because of the remarkable isomorphic property of Euler Relation. We can then define a domain independent of the observer and the object where the object is embedded. We will then be able to have a Quantum Mechanics solution without the "observer drawback", as Karl R. Popper tried to find all his life but from the philosophical point of view and which was Einstein main concern about QM. A unit that has always similar or identical structure or form, despite even complex operations such as integration and derivation, is the ideal unit for the new sciences of complexity or just the systems sciences where structure or form, wholeness, organization, and complexity are main requirements. A table for validating the results obtained is presented in case of the pendulum formula.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。