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gunblaze
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How true is this equation in determining that time stands still at a point when [tex] r=GM/c^2 [/tex]
gunblaze said:How true is this equation in determining that time stands still at a point when [tex] r=GM/c^2 [/tex]
"r=GM/c^2" is a formula that represents the phenomenon of time dilation, which occurs when an object's velocity approaches the speed of light. This formula shows that as an object's mass (M) or gravitational force (G) increases, time (t) will appear to slow down or stand still (r) relative to an observer. In other words, the closer an object gets to the speed of light, the slower time appears to pass for that object.
Einstein's theory of relativity states that time is relative and can be affected by factors such as gravity and velocity. "r=GM/c^2" is derived from this theory and shows that as an object's mass or gravitational force increases, time will slow down or stand still. This is because the object's gravitational force warps the fabric of space-time, causing time to pass more slowly for that object.
Yes, according to Einstein's theory of relativity, time can stand still for an object traveling at the speed of light. However, this is not possible for objects with mass, as it would require an infinite amount of energy to reach the speed of light. In practical terms, time standing still is only observed in extreme circumstances, such as near black holes.
While the effects of time dilation are not noticeable in our daily lives, they have been confirmed through experiments and are crucial for technologies such as GPS, which rely on precise time measurements. Without accounting for the effects of time dilation, GPS devices would not be accurate.
Yes, "r=GM/c^2" is a proven theory and has been supported by numerous experiments and observations, including the famous Hafele-Keating experiment in 1971. This theory is a cornerstone of modern physics and has been used to make predictions and calculations in various fields such as astronomy and engineering.