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- https://phys.libretexts.org/Courses/Grossmont_College/ASTR_110%3A_Astronomy_(Fitzgerald)/12%3A_The_Death_of_Stars/12.08%3A_Spacetime_and_GravityBy considering the consequences of the equivalence principle, Einstein concluded that we live in a curved spacetime. The distribution of matter determines the curvature of spacetime; other objects (an...By considering the consequences of the equivalence principle, Einstein concluded that we live in a curved spacetime. The distribution of matter determines the curvature of spacetime; other objects (and even light) entering a region of spacetime must follow its curvature. Light must change its path near a massive object not because light is bent by gravity, but because spacetime is.
- https://phys.libretexts.org/Courses/Skidmore_College/Introduction_to_General_Relativity/01%3A_Special_Relativity/1.02%3A_The_Spacetime_IntervalIn Newtonian mechanics, the length of an object is invariant. That is, if you use a different coordinate system to mark locations, the result you get for the length does not change. In Special Relativ...In Newtonian mechanics, the length of an object is invariant. That is, if you use a different coordinate system to mark locations, the result you get for the length does not change. In Special Relativity, however, it is a combination of distance and time that is invariant from one coordinate system to another. We call this the spacetime interval.
- https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Astronomy_for_Educators_(Barth)/06%3A_Exploring_Gravity/6.04%3A_Packards_Acceleration_RampNewton’s theory of gravity is no less complex and subtle than the concept of the curvature of spacetime and Einstein’s concept of gravity, yet we feel comfortable with it through long association. Ein...Newton’s theory of gravity is no less complex and subtle than the concept of the curvature of spacetime and Einstein’s concept of gravity, yet we feel comfortable with it through long association. Einstein’s gravitational model is also powerful and mathematically subtle, but like Newton’s ideas of gravity, we can demonstrate it simply with a classroom model that students can grasp cognitively without troubling them (or you!) with the higher mathematics of the subject.
- https://phys.libretexts.org/Bookshelves/University_Physics/Radically_Modern_Introductory_Physics_Text_I_(Raymond)/04%3A_Special_Relativity/4.02%3A_Spacetime_Thinking_in_Special_RelativityNotice that it is physically possible for an object to have a world line which connects event O at the origin and the events A and D in Figure \(\PageIndex{3}\):, since the slope of the resulting worl...Notice that it is physically possible for an object to have a world line which connects event O at the origin and the events A and D in Figure \(\PageIndex{3}\):, since the slope of the resulting world line would exceed unity, and thus represent a velocity less than the speed of light.
- https://phys.libretexts.org/Bookshelves/Relativity/Spacetime_Physics_(Taylor_and_Wheeler)/01%3A_Spacetime_Overview/1.06%3A_End_of_ChapterShurcliff has been immensely inventive in devising new ways of viewing the consequences of relativity, a few of these are specifically acknowledged in later chapters. The clarity and simplicity of bot...Shurcliff has been immensely inventive in devising new ways of viewing the consequences of relativity, a few of these are specifically acknowledged in later chapters. The clarity and simplicity of both the English and the physics were improved by Penny Hull.Some passages in this text, both brief and extended, have been adapted from the book A Journey into Gravity and Spacetime by John Archibald Wheeler (W.H.
- https://phys.libretexts.org/Bookshelves/Relativity/Spacetime_Physics_(Taylor_and_Wheeler)/01%3A_Spacetime_Overview/1.05%3A_Unity_of_SpacetimeSome of the best minds of the twentieth century struggled with the concepts of relativity, not because nature is obscure, but because (1) people find it difficult to outgrow established ways of lookin...Some of the best minds of the twentieth century struggled with the concepts of relativity, not because nature is obscure, but because (1) people find it difficult to outgrow established ways of looking at nature, and (2) the world of the very fast described by relativity is so far from common experience that everyday happenings are of limited help in developing an intuition for its descriptions.
- https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Astronomy_2e_(OpenStax)/24%3A_Black_Holes_and_Curved_Spacetime/24.03%3A_Spacetime_and_GravityBy considering the consequences of the equivalence principle, Einstein concluded that we live in a curved spacetime. The distribution of matter determines the curvature of spacetime; other objects (an...By considering the consequences of the equivalence principle, Einstein concluded that we live in a curved spacetime. The distribution of matter determines the curvature of spacetime; other objects (and even light) entering a region of spacetime must follow its curvature. Light must change its path near a massive object not because light is bent by gravity, but because spacetime is.
- https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Astronomy_1e_(OpenStax)/24%3A_Black_Holes_and_Curved_Spacetime/24.02%3A_Spacetime_and_GravityBy considering the consequences of the equivalence principle, Einstein concluded that we live in a curved spacetime. The distribution of matter determines the curvature of spacetime; other objects (an...By considering the consequences of the equivalence principle, Einstein concluded that we live in a curved spacetime. The distribution of matter determines the curvature of spacetime; other objects (and even light) entering a region of spacetime must follow its curvature. Light must change its path near a massive object not because light is bent by gravity, but because spacetime is.
- https://phys.libretexts.org/Bookshelves/University_Physics/Radically_Modern_Introductory_Physics_Text_I_(Raymond)/04%3A_Special_Relativity/4.01%3A_Galilean_Spacetime_ThinkingFigure \(\PageIndex{2}\):: The left panel shows the world line in the unprimed reference frame, while the right panel shows it in the primed frame, which moves to the right at speed U relative to the ...Figure \(\PageIndex{2}\):: The left panel shows the world line in the unprimed reference frame, while the right panel shows it in the primed frame, which moves to the right at speed U relative to the unprimed frame. (The “prime” is just a label that allows us to distinguish the axes corresponding to the two reference frames.)
