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  2. Gravitational time dilation - Wikipedia

    en.wikipedia.org/wiki/Gravitational_time_dilation

    Gravitational time dilation is a form of time dilation, an actual difference of elapsed time between two events, as measured by observers situated at varying distances from a gravitating mass. The lower the gravitational potential (the closer the clock is to the source of gravitation), the slower time passes, speeding up as the gravitational ...

  3. Time dilation - Wikipedia

    en.wikipedia.org/wiki/Time_dilation

    Daily time dilation (gain or loss if negative) in microseconds as a function of (circular) orbit radius r = rs/re, where rs is satellite orbit radius and re is the equatorial Earth radius, calculated using the Schwarzschild metric. At r ≈ 1.497 [Note 1] there is no time dilation. Here the effects of motion and reduced gravity cancel.

  4. Twin paradox - Wikipedia

    en.wikipedia.org/wiki/Twin_paradox

    This combines the effects of time dilation due to motion (by factor α = 0.6, five years on Earth are 3 years on ship) and the effect of increasing light-time-delay (which grows from 0 to 4 years). Of course, the observed frequency of the transmission is also 1 ⁄ 3 the frequency of the transmitter (a reduction in frequency; "red-shifted").

  5. Trachtenberg system - Wikipedia

    en.wikipedia.org/wiki/Trachtenberg_system

    The method for general multiplication is a method to achieve multiplications with low space complexity, i.e. as few temporary results as possible to be kept in memory. . This is achieved by noting that the final digit is completely determined by multiplying the last digit of the multiplic

  6. Mathematics of general relativity - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_general...

    A covariant derivative of can thus be viewed as a differential operator acting on a vector field sending it to a type (1, 1) tensor (increasing the covariant index by 1) and can be generalised to act on type (,) tensor fields sending them to type (, +) tensor fields. Notions of parallel transport can then be defined similarly as for the case of ...

  7. Metric tensor (general relativity) - Wikipedia

    en.wikipedia.org/wiki/Metric_tensor_(general...

    The metric captures all the geometric and causal structure of spacetime, being used to define notions such as time, distance, volume, curvature, angle, and separation of the future and the past. In general relativity, the metric tensor plays the role of the gravitational potential in the classical theory of gravitation, although the physical ...

  8. Gravitational redshift - Wikipedia

    en.wikipedia.org/wiki/Gravitational_redshift

    For Earth's surface with respect to infinity, z is approximately 7 × 1010 (the equivalent of a 0.2 m/s radial Doppler shift); for the Moon it is approximately 3 × 10 −11 (about 1 cm/s). The value for the surface of the Sun is about 2 × 10 −6 , corresponding to 0.64 km/s.

  9. Introduction to general relativity - Wikipedia

    en.wikipedia.org/wiki/Introduction_to_general...

    Objects are falling to the floor because the room is aboard a rocket in space, which is accelerating at 9.81 m/s 2, the standard gravity on Earth, and is far from any source of gravity. The objects are being pulled towards the floor by the same "inertial force" that presses the driver of an accelerating car into the back of their seat.