Many thanks. Your reference to test at altitude would be of great interest. I have found predictions based on time dilation but so far have not found actual tests. If you had a more specific reference for me that would be appreciated.Ibix said:You are correct that the simple arrival of muons at the Earth's surface doesn't tell you anything. However, if you assume that their half life is 2.2μs in our frame then you are making predictions about the numbers you would expect to see at different altitudes (and their production rate in the upper atmosphere, which would need a very good explanation), which can be tested. We have done tests at different altitudes (see the experimental basis for SR sticky thread at the top of this forum) and the decay rates don't support a 2.2μs half life when measured in our frame.
Time dilation is a phenomenon in which time appears to pass slower or faster depending on the relative speed between two objects or the strength of the gravitational field they are in.
According to Einstein's theory of relativity, time dilation occurs because time and space are intertwined and can be affected by the speed at which an object is traveling or the strength of the gravitational field it is in.
Muons are subatomic particles that are created in the upper atmosphere and have a very short lifespan. However, due to their high speed, they experience time dilation and are able to reach the Earth's surface before decaying.
The half-life of a muon is very short, about 2.2 microseconds, and can be measured using highly accurate equipment. By comparing the half-life of muons at rest and those in motion, the time dilation effect can be observed and measured.
Understanding time dilation is crucial in many fields such as physics, astronomy, and GPS technology. It also plays a role in space travel, as astronauts experience time dilation when traveling at high speeds or near massive objects. Additionally, it helps us understand the concept of time and its relationship with space.