I don't think making the ruler that short is likely to make a difference. Special relativity and quantum mechanics are perfectly compatible (via Quantum Field Theory). There would be length contraction, regardless of the physical size of the ruler.windy miller said:Imagine I had a ruler 1 Planck length long, I then send it on a rocket close to the speed of light, does its length contract? It seems to my simple intuition, relativity would say yes and Qm would say no. Is there a simple solution to this ?
The Planck length at high speed refers to the smallest possible length that can be measured in the universe, according to the theory of relativity. It is approximately 1.616199 × 10^-35 meters.
The Planck length is considered the smallest unit of measurement because it is the length at which the effects of quantum gravity become significant. At this scale, the classical laws of physics break down and a more comprehensive theory is needed.
No, according to the theory of relativity, it is impossible for any object with mass to travel at the speed of light. However, the Planck length can be used as a reference point when discussing the effects of high speeds on objects.
At high speeds, the Planck length does not change. It remains a constant value and is not affected by the speed of objects. However, the perception of length may change due to the effects of time dilation and length contraction.
Currently, there are no practical applications of the Planck length at high speeds. However, understanding the relationship between speed, time, and distance at the smallest scale can help us gain a better understanding of the fundamental laws of the universe.