Well, taking a Lorentz transformation (i.e. the one you get when chaanging reference frame in SR) you mix the time components with the spatial components. Since SR is well founded/verified by experiments, on can say that space and time are very very likely linked so you get space-time.
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Time is an emotional human concepttion, what we feel and sense of time is the period between one event to to the next event like night and day, oh and we devised clocks based on our solar system to help us keep track of this time thingy we feel and sense, NOT space time, the universe knows nothing of time.
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You give exactly also one of the current defintion in physics of time: the period between two events. If time was only a human conception wouldn't it imply that everything could be simultaneous, that there would be no cause-effect? Solar system to define time or acceleration of galaxies moving away or decay time of given atom or ... doesn't relly matter how you design clocks, they all will assign a quantity to a time period between two events, hence measure time.
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So my defination of space is, something that has always infinitly existed, and always will,
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This is not really a defintion for example "the fact that 2+2=4" has also always existed and always will, but the equation is not space. And empty space does not exist there are always quantum-fluctuations anyway...
