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- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_2040%3A_General_Physics_III/07%3A__Special_Relativity/7.2%3A_Consequences_of_Special_RelativityThe relativity of simultaneity is the concept that simultaneity is not absolute, but depends on the observer’s reference frame.
- https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/27%3A__Special_Relativity/27.4%3A_Implications_of_Special_RelativitySpecial relativity changed the way we view space and time and showed us that time is relative to an observer.
- https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Big_Ideas_in_Cosmology_(Coble_et_al.)/11%3A_Black_Holes/11.02%3A_Spacetime_Near_Black_HolesTides, like ocean tides on Earth, are caused by the difference in the strength of gravity across an object: the side of Earth facing the Moon feels stronger gravity than the opposite side, and this di...Tides, like ocean tides on Earth, are caused by the difference in the strength of gravity across an object: the side of Earth facing the Moon feels stronger gravity than the opposite side, and this difference, when added up over the entire surface of Earth, causes a bulge in the height of sea water that is nearest to (and farthest from) the Moon.
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/62%3A_Special_Relativity/62.02%3A_Time_DilationIf a clock measures a time interval \(\Delta t_{0}\) when it's at rest, then when it's moving at a speed \(v\) relative to you, you will measure that time interval to be longer by a factor \(\gamma\) ...If a clock measures a time interval \(\Delta t_{0}\) when it's at rest, then when it's moving at a speed \(v\) relative to you, you will measure that time interval to be longer by a factor \(\gamma\) : where \(\Delta t\) is the time interval measured by the moving clock, \(\Delta t_{0}\) is the time interval measured on the clock when it's at rest, and \(\gamma\) is an abbreviation for the factor
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_2040%3A_General_Physics_III/07%3A__Special_Relativity/7.4%3A_Implications_of_Special_RelativitySpecial relativity changed the way we view space and time and showed us that time is relative to an observer.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC_%3A_Physics_213_-_Modern_Physics/01%3A__Relativity/1.04%3A_Time_DilationTime dilation is the lengthening of the time interval between two events when seen in a moving inertial frame rather than the rest frame of the events (in which the events occur at the same location)....Time dilation is the lengthening of the time interval between two events when seen in a moving inertial frame rather than the rest frame of the events (in which the events occur at the same location). Observers moving at a relative velocity v do not measure the same elapsed time between two events. Proper time Δτ is the time measured in the reference frame where the start and end of the time interval occur at the same location.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Variational_Principles_in_Classical_Mechanics_(Cline)/17%3A_Relativistic_Mechanics/17.03%3A_Special_Theory_of_RelativityEinstein's Special Theory of Relativity.
- https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Introductory_Physics_-_Building_Models_to_Describe_Our_World_(Martin_Neary_Rinaldo_and_Woodman)/24%3A_The_Theory_of_Special_Relativity/24.03%3A_Time_DilationThe muon is traveling with a speed of \(v=0.9c\) relative to the Earth, thus the gamma factor is given by: \[\begin{aligned} \gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}} =\frac{1}{\sqrt{1-0.9^2}}=2.29\...The muon is traveling with a speed of \(v=0.9c\) relative to the Earth, thus the gamma factor is given by: \[\begin{aligned} \gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}} =\frac{1}{\sqrt{1-0.9^2}}=2.29\end{aligned}\] The amount of time that goes by in the frame of reference of the Earth, \(\Delta t\), when \(\Delta t'=2.2\mu\text{s}\) has gone by in the muon’s frame of reference will be dilated by the gamma factor. \(\Delta t'\) is the proper time in the muon frame’s of reference, which correspon…
- https://phys.libretexts.org/Courses/Berea_College/Introductory_Physics%3A_Berea_College/24%3A_The_Theory_of_Special_Relativity/24.03%3A_Time_DilationThe muon is traveling with a speed of \(v=0.9c\) relative to the Earth, thus the gamma factor is given by: \[\begin{aligned} \gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}} =\frac{1}{\sqrt{1-0.9^2}}=2.29\...The muon is traveling with a speed of \(v=0.9c\) relative to the Earth, thus the gamma factor is given by: \[\begin{aligned} \gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}} =\frac{1}{\sqrt{1-0.9^2}}=2.29\end{aligned}\] The amount of time that goes by in the frame of reference of the Earth, \(\Delta t\), when \(\Delta t'=2.2\mu\text{s}\) has gone by in the muon’s frame of reference will be dilated by the gamma factor. \(\Delta t'\) is the proper time in the muon frame’s of reference, which correspon…
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/15%3A_Special_Relativity/15.10%3A_Time_DilationThe interval s between two events is clearly independent of the orientation any reference frames, and is the same when referred to two reference frames that may be inclined to each other. But the co...The interval s between two events is clearly independent of the orientation any reference frames, and is the same when referred to two reference frames that may be inclined to each other. But the components of the vector joining two events, or their projections on to the time axis or a space axis are not at all expected to be equal.
- https://phys.libretexts.org/Bookshelves/Conceptual_Physics/Introduction_to_Physics_(Park)/05%3A_Unit_4-_Modern_Physics_-_Quantum_Mechanics_Special_Relativity_and_Nuclear_and_Particle_Physics/13%3A_Special_Relativity/13.03%3A_Simultaneity_and_Time_DilationTwo simultaneous events are not necessarily simultaneous to all observers—simultaneity is not absolute. Time dilation is the phenomenon of time passing slower for an observer who is moving relative to...Two simultaneous events are not necessarily simultaneous to all observers—simultaneity is not absolute. Time dilation is the phenomenon of time passing slower for an observer who is moving relative to another observer. Observers moving at a relative velocity do not measure the same elapsed time for an event. Proper time is measured by an observer at rest relative to the event being observed and implies that relative velocity cannot exceed the speed of light.