论文标题

物理学和毕达哥拉斯定理

Physics and the Pythagorean Theorem

论文作者

Overduin, James, Henry, Richard Conn

论文摘要

毕达哥拉斯的定理位于物理和数学的核心,但其历史起源却晦涩难懂。我们重点介绍了一个纯粹的绘画,类似格式塔的证据,可能是在周王朝期间起源的。毕达哥拉斯定理对三个,四个和更多维度的概括构成了基本定律,包括粒子物理学的能量摩孔关系和一般相对性的田间方程,并可能暗示未来的统一理论。这种定理的“数学前”性质为“世界的东西都是思想束缚”的爱丁顿观点的支持。

Pythagoras' theorem lies at the heart of physics as well as mathematics, yet its historical origins are obscure. We highlight a purely pictorial, gestalt-like proof that may have originated during the Zhou Dynasty. Generalizations of the Pythagorean theorem to three, four and more dimensions undergird fundamental laws including the energy-momentum relation of particle physics and the field equations of general relativity, and may hint at future unified theories. The "pre-mathematical" nature of this theorem lends support to the Eddingtonian view that "the stuff of the world is mind-stuff."

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