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  2. Comoving and proper distances - Wikipedia

    en.wikipedia.org/wiki/Comoving_and_proper_distances

    Proper distance is also equal to the locally measured distance in the comoving frame for nearby objects. To measure the proper distance between two distant objects, one imagines that one has many comoving observers in a straight line between the two objects, so that all of the observers are close to each other, and form a chain between the two ...

  3. Length contraction - Wikipedia

    en.wikipedia.org/wiki/Length_contraction

    An observer at rest observing an object travelling very close to the speed of light would observe the length of the object in the direction of motion as very near zero. Then, at a speed of 13 400 000 m/s (30 million mph, 0.0447 c ) contracted length is 99.9% of the length at rest; at a speed of 42 300 000 m/s (95 million mph, 0.141 c ), the ...

  4. World line - Wikipedia

    en.wikipedia.org/wiki/World_line

    The arclength parameter is called proper time and usually denoted τ. The length of M is called the proper time of the particle. If the worldline M is a line segment, then the particle is said to be in free fall. [1]: 62–63 A world line traces out the path of a single point in spacetime.

  5. Spacetime diagram - Wikipedia

    en.wikipedia.org/wiki/Spacetime_diagram

    Fig 4-4 Relativistic length contraction, as depicted in a single Loedel spacetime diagram. Both observers consider objects moving with the other observer as being shorter. Relativistic length contraction refers to the fact that a ruler (indicating its proper length in its rest frame) that moves relative to an observer is observed to contract ...

  6. Ladder paradox - Wikipedia

    en.wikipedia.org/wiki/Ladder_paradox

    The diagram is in the rest frame of the garage. The vertical light-blue band shows the garage in spacetime, and the light-red band shows the ladder in spacetime. The x and t axes are the garage space and time axes, respectively, and x ′ and t ′ are the ladder space and time axes, respectively.

  7. 30 Cheap, Beautiful Places To Retire With Just $250K in Savings

    www.aol.com/finance/30-cheap-beautiful-places...

    Port St. Lucie, Florida. Population 65+ (%): 21% Livability: 68 Annual cost of living: $49,555 Annual cost after Social Security: $27,045 How many years $250K will last: 9.24 View More: 10 Little ...

  8. Four-velocity - Wikipedia

    en.wikipedia.org/wiki/Four-velocity

    The history of an object traces a curve in spacetime, called its world line. If the object has mass, so that its speed is necessarily less than the speed of light, the world line may be parametrized by the proper time of the object. The four-velocity is the rate of change of four-position with respect to the proper time along the curve. The ...

  9. Patriots' DT Christian Barmore, out since July with blood ...

    www.aol.com/sports/patriots-dt-christian-barmore...

    New England Patriots defensive tackle Christian Barmore will be activated for Sunday's game against the Los Angeles Rams after being out since July with blood clots.. Barmore will be removed from ...