"Time dilation is the difference in elapsed time as measured by two clocks, either due to a relative velocity between them (special relativity) or due to a difference in gravitational potential between their locations (general relativity)."
The slowing down of time for an object moving relative to a stationary observer as predicted by Special Relativity.
Lorentz transformations: The mathematical equations that describe how measurements of time and space change for observers in relative motion.
Proper time and coordinates: The time and coordinates measured by an observer in their own reference frame; used to calculate the time dilation experienced by other observers.
Relativistic velocity addition: The formula for combining velocities in special relativity, which differs from the classical formula.
Time dilation and length contraction: The phenomena describing how time and space appear to be different for observers in relative motion, due to their different speeds.
Twin paradox: A thought experiment where one twin stays on Earth, while the other travels at high speed in space, resulting in a different aging experience.
Time travel: The possibility of traveling to the past or future, as predicted by the effects of time dilation in special and general relativity.
Spacetime curvature and gravity: The idea that massive objects curve spacetime, leading to the phenomenon of gravitational time dilation in general relativity.
Black holes: Regions of spacetime where the curvature is so strong that nothing, including light, can escape. The strong gravity near a black hole causes significant time dilation and length contraction effects, making it a crucial example for studying general relativity.
Gravitational waves: Ripples in spacetime created by the motion of massive objects, predicted by general relativity and recently detected by LIGO.
Time dilation and the GPS system: How time dilation due to relative motion and gravitational fields must be taken into account to maintain the accuracy of the GPS system.
Proper Time Dilation: It is the time dilation experienced by an observer who is in the same reference frame as the clock.
Relativistic Time Dilation: It is the time dilation experienced by an observer who is in a relatively moving reference frame, observing a moving clock.
Velocity Time Dilation: It is the time dilation experienced by an object that is moving with respect to an observer.
Gravitational Time Dilation: It is the time dilation caused by gravitational forces that affect time, especially in the presence of strong gravitational fields or in orbit around massive objects.
Time Contraction: Time slows down as an object moves closer to the speed of light, and this is referred to as time contraction. It is also known as Lorentz contraction.
Curvature Time Dilation: The curvature of spacetime influences the rate at which time passes, resulting in measurable consequences.
Gravitational Time Dilation: As objects move closer to a massive object or planet, the gravitational field grows stronger, slowing down time for those objects or planets.
Cosmological Time Dilation: It is the time dilation caused by the expansion of the Universe, and it affects every object in the Universe to some extent.
Frame-dragging Time Dilation: It is the time dilation caused by the rotation of massive objects, which can cause a swirling effect on spacetime.
"When unspecified, 'time dilation' usually refers to the effect due to velocity."
"The observer will measure the moving clock as ticking slower than a clock that is at rest in the observer's own reference frame."
"Compensating for varying signal delays due to the changing distance between an observer and a moving clock (i.e. Doppler effect)."
"A clock that is close to a massive body (and which therefore is at lower gravitational potential) will record less elapsed time than a clock situated farther from the said massive body (and which is at a higher gravitational potential)."
"These predictions of the theory of relativity have been repeatedly confirmed by experiment."
"They are of practical concern, for instance in the operation of satellite navigation systems such as GPS and Galileo."
"Special relativity accounts for time dilation resulting from relative velocity, while general relativity accounts for time dilation resulting from a difference in gravitational potential."
"No, time dilation is always observed in relation to a relative velocity or gravitational potential."
"Time dilation compensates for varying signal delays due to the changing distance between an observer and a moving clock, which is an effect known as the Doppler effect."
"Understanding time dilation is crucial for the operation of satellite navigation systems such as GPS and Galileo."
"Time dilation has been repeatedly confirmed by experiment, making it an observed phenomenon."
"The observer will perceive time as dilated when observing a clock moving relative to their own reference frame."
"A clock close to a massive body will experience less elapsed time compared to a clock situated farther from it."
"Time dilation affects the operation of satellite navigation systems, such as GPS and Galileo, which rely on precise timing measurements."
"Yes, time dilation can still occur due to a difference in gravitational potential even in the absence of any relative motion."
"Understanding time dilation is crucial for accurate timekeeping and synchronization of clocks during space missions."
"Yes, time dilation phenomena are observed and measurable on macroscopic scales, such as with clocks in satellite systems."
"Yes, the practical impact of time dilation is evident in the everyday use of satellite navigation systems."
"Yes, time dilation can occur solely due to the relative velocity between two objects, independent of any gravitational effects."