Can someone correct any mistakes in my explanation to the theory of relativity?
In reference to your description about the relativity that Galileo proposed: of all motion being relative: yes, you have understood that very well. And I must say, that is not a small thing to ‘get’. Most people still assume that there must be some absolute frame of reference somewhere. So that they can imagine that something is ‘really’ moving, “even if you cannot tell.” There is no “real” movement, only relative movement. Regarding Einstein’s Theory of Special Relativity, that is based on the experimental observation that the speed of light is constant for any observer who is not accelerating or in a (strong) gravitational field, whatever their velocity. We say that SR is non-intuitive – which means it, well, “boggles the mind”. It is not simple and not easy to understand, even if simplified explanations are available. You can look up Special Relativity on the Web, and look for reliable sites that give a simple introductory presentation. The equations that apply to SR – like the Lore