mcjosep said:I have seen the formulas for gravitational time dilation and length contraction (which are rather similar)
PeterDonis said:What formulas have you seen for "gravitational length contraction"?
mcjosep said:its size has shrunk to almost a point due to gravitational length
mcjosep said:i just figured since Planck time and Planck length are related by a factor of c that they would change the same.
The more massive an object is, the greater its gravitational pull, which results in a greater time and length change. This is known as gravitational time dilation and length contraction.
The formula for gravitational time dilation is t' = t * √(1 - (2GM/rc²)), where t' is the time measured by an observer in a stronger gravitational field, t is the time measured by an observer in a weaker gravitational field, G is the gravitational constant, M is the mass of the object, r is the distance from the center of the object, and c is the speed of light.
The formula for length contraction is L' = L * √(1 - (2GM/rc²)), where L' is the length measured by an observer in a stronger gravitational field, L is the length measured by an observer in a weaker gravitational field, G is the gravitational constant, M is the mass of the object, r is the distance from the center of the object, and c is the speed of light.
Gravitational time and length change can have a significant impact on space travel, especially for objects traveling at high speeds or near massive objects. It can cause time to pass differently for astronauts on a spaceship compared to people on Earth, and it can also cause objects to appear shorter or longer depending on their speed and location.
No, gravitational time and length change is not the same as time travel. Time travel refers to the hypothetical concept of traveling to the past or future, while gravitational time and length change refers to the observable effects of gravity on time and length.
Yes, gravitational time and length change can be observed in everyday life. For example, the Global Positioning System (GPS) must account for gravitational time dilation in order to accurately measure time and location. Additionally, gravitational time and length change can also be observed in experiments involving atomic clocks and high-speed particles.