![]() The theory's basic premise is that matter curves spacetime, and this curvature tells matter how to accelerate. You agree on Statement 5 because everyone always measures the same speed of light (and all wavelengths/colors of light travel at this same speed).Ĭonditions inside of and near a black hole can be described using Einstein's general theory of relativity. You both agree on statements 2 and 3 because each of those describes a single event (that occurs in one place at one time), and all observers must agree on the reality of single events. Therefore, even though the green light flashed first, the longer distance it must travel means it ends up reaching you at the same time as the red light. However, as shown in the right diagram, she sees you moving away from the green light and toward the red light, which means the green light must travel a greater distance to reach you than the red light. The diagram on the right shows how Jackie explains this reality: From Part A, we know that Jackie claims that the green light flashed first. Because this is a single, observable event, all observers must agree on its reality. Part B: The green light illuminates you at the same time as the red light because although the green light flashes first, you are traveling away from it.Īs the diagram on the left shows clearly, both lights reach you at the same time. Because Jackie perceives herself as stationary and both lights are located an equal distance away from her in her own spaceship, she can explain this fact only by saying that the green light source flashed first. Part A: the green light illuminates her before the red light because she sees the green light flash firstĪs the diagram on the right shows clearly, the green light does indeed illuminate Jackie before the red light reaches her. Therefore their measurements will show length contraction for you, Earth and Vega, making the Earth-Vega distance shorter time dilation for you, which means they see your time running slower then theirs, so that one second on your clock lasts longer than one second for them and mass increase for you, making your mass larger than your rest mass. But passengers on the spaceship would say that they are at rest while you and Earth and Vega are traveling relative to them at constant velocity of 0.8c. Therefore, your measurements of the spaceship will show length contraction, making it shorter time dilation, which means you see time on the spaceship running slower than time for you, so that one second on the spaceship clock is longer than one second for you and mass increase for the spaceship, making its mass larger than its rest mass. You consider yourself to be at rest and say that the spaceship is traveling at constant velocity of 0.8c. speed of the spaceship's headlight as measured by you length (in the direction of motion) of the spaceship as measured by you distance to Vega as measured by spaceship passengers your mass as measured by spaceship passengers one second on a spaceship clock as seen by you one second on your clock as seen by spaceship passengers
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