Length contraction on quantum scale?

In summary, the conversation discusses how relativistic length contraction can be measured at the quantum scale, specifically with regards to the Planck length. It is noted that while the Planck length cannot be divided, there are no practical issues with measuring length contraction at this scale. However, there may be theoretical issues in quantum gravity theories where the Planck length has special significance. The current theories of elementary particles do not predict any differences at this scale, but it is expected that they will fail and only a quantum theory of gravity can explain this.
  • #1
jbrussell93
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How can relativistic length contraction be measured at the quantum scale? Since a Planck length by definition cannot be divided, how can something that is 1 Planck length, traveling near the speed of light, contract with respect to an observer? In other words, how can an observer possibly measure the length of contraction?
 
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  • #2
The Planck length is many orders of magnitude smaller than anything that can be measured, so there are no practical issues with length contraction. There is probably a theoretical issue, but it's only an issue in quantum gravity theories, where the Planck scale has a special significance. The current theories of elementary particles are just quantum theories of matter in Minkowski spacetime (i.e. the spacetime of special relativity), and the Planck length doesn't have any significance in Minkowski spacetime, so these theories don't predict that anything will be different at those scales. They are expected to fail at those scales (or sooner), but that's another story. The precise way in which they will fail is unknown. Only a quantum theory of gravity can explain that.
 

Related to Length contraction on quantum scale?

1. How does length contraction occur on the quantum scale?

Length contraction on the quantum scale occurs due to the principles of special relativity. According to this theory, the length of an object appears shorter when it is moving at high speeds relative to an observer. This is because the speed of light is constant and as an object approaches the speed of light, the distance between its endpoints appears contracted to an observer.

2. Is length contraction the same as shrinking or compression of an object?

No, length contraction is not the same as shrinking or compression of an object. Shrinking or compression refers to a change in the size of an object due to external forces, while length contraction is a change in perceived length due to the relative motion of the object and the observer.

3. Does length contraction only occur in one direction?

No, length contraction occurs in the direction of motion of the object and is relative to the observer. This means that different observers may perceive different lengths for the same object depending on their relative motion.

4. Can length contraction be observed in everyday life?

While length contraction is a fundamental principle of special relativity, it is only noticeable at high speeds close to the speed of light. In everyday life, such high speeds are not encountered, so length contraction is not observable.

5. How does length contraction affect the measurements in quantum mechanics?

In quantum mechanics, length contraction has an impact on the measurement of distances and time intervals. It is an essential concept in understanding the phenomena of time dilation and the uncertainty principle. It is also taken into account in the calculations and interpretations of quantum mechanical experiments.

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