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is Newton's spacetime the same as Galileon's spacetime?

ChatGPT:
No, Newton's spacetime and Galileon's spacetime are distinct concepts in physics.

Newton's concept of spacetime, often referred to as Newtonian spacetime, was proposed by Sir Isaac Newton in the 17th century. According to Newtonian physics, space and time are absolute and separate entities. Space is considered an infinite, three-dimensional framework in which objects exist and interact, while time is an independent and uniform dimension that progresses uniformly for all observers. In Newtonian physics, spacetime is not unified, and there is no notion of spacetime curvature or the relativistic effects seen in Einstein's theory.

On the other hand, Galileon's spacetime is not a widely recognized term in physics. The term "Galileon" typically refers to a class of scalar field theories that exhibit a specific type of self-interaction. These theories emerged in the context of modifying gravity and have connections to various areas of theoretical physics, including cosmology and high-energy physics. Galileon theories do not directly pertain to the concept of spacetime as a geometric framework like in general relativity.

In summary, Newton's spacetime represents the classical, absolute notions of space and time, while Galileon's spacetime, as commonly understood, does not describe the geometry of spacetime but rather refers to a class of scalar field theories.

Galileon's spacetime, 很少听到这个次，一般只有伽利略变换，经典时空的一部分，和人的直觉一致。

你不要浪费时间。赶紧去写麦克斯韦方程的论文。

YouHi 写了： 2023年 6月 23日 12:56 你不要浪费时间。赶紧去写麦克斯韦方程的论文。

好几个以前写的半成品文章，今年准备都先写出来。这个麦克斯韦就等等吧。

你是不是拼写错误所以ChatGPT不知搜索到哪里去了： Galilean 不是on

rgg 写了： 2023年 6月 23日 16:01 你是不是拼写错误所以ChatGPT不知搜索到哪里去了： Galilean 不是on

哎，没注意到，怪不得它说没听说过Galileon's spacetime。我重新问了一下，这次它还是说不一样，但是对Galilean's spacetime有更准确和更多的描述。看了它的说法，我感觉这和牛顿时空观是一样的。

is Newton's spacetime the same as Galilean's spacetime?

ChatGPT:

No, Newton's concept of spacetime is different from Galilean spacetime. While both Newton and Galileo made significant contributions to the understanding of classical mechanics, their notions of spacetime differ in important ways.

Galilean spacetime, also known as Galilean relativity, is based on Galileo Galilei's ideas and forms the foundation of classical mechanics. According to Galilean spacetime, space and time are treated as separate and independent entities. Space is considered absolute and homogeneous, meaning that its properties are the same everywhere. Time is also absolute and flows uniformly for all observers, independent of their motion or the presence of gravitational fields.

On the other hand, Newton introduced a different understanding of spacetime in his theory of gravitation. According to Newtonian mechanics, space and time are still treated as separate entities, but there is an absolute and fixed reference frame known as "absolute space" against which all motion is measured. However, Newton's concept of spacetime is not the same as what we understand in modern physics.

In modern physics, Einstein's theory of general relativity provides a more accurate description of spacetime. According to general relativity, spacetime is a unified entity where space and time are interconnected. The curvature of spacetime is influenced by the distribution of matter and energy, giving rise to the effects of gravity. This concept of spacetime is significantly different from both Galilean and Newtonian spacetime.

In summary, Newton's spacetime differs from Galilean spacetime, and neither corresponds to the modern understanding of spacetime as described by Einstein's general relativity.