Is there not an inherent paradox in Amelino-Camelia’s DSR (Doubly special relativity)?(adsbygoogle = window.adsbygoogle || []).push({});

Every solid piece of matter is the sum of its parts. Put another way, all the building blocks of a meter stick must be less than a meter in length (e.g. the lines dividing centimeters, millimeters, the atoms and molecules that make up the meter stick etc.)

If my understanding of DSR is correct, an object travelling close to the speed of light will undergo length contraction that tends towards the Planck length, but never quite reaches it, just as its velocity can only approach c.

Now let’s say we had a meter stick that was travelling fast enough for it to appear to be just 10 times the Planck length to a stationary observer. What measurement would that stationary observer then give for the length of the centimeter marks on the meter stick, considering that there are 100 of these on the meter stick, they are all of equal length and the sum of their lengths cannot exceed 10x the Planck length.

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# Paradox in DSR?

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