# Could this experiment show how big the universe really is? [duplicate]

Thought experiment:

1. Entangle a pair of particles.
2. Package one half of each pair in a special package, and send it out in a nano-spaceship
3. keep the other half of the pair of entangled particles here on earth
4. accelerate nano-spaceship to 99.99999999999999% of the speed of light using a number of tiny cyclotrons

Due to Lorentz contraction,

$$L = L _\text{0} \sqrt {1 - \frac {v^{2}}{c^{2}}}$$

In one years time, the spaceship would have traveled 93B ly away from us.

After one year of travel, the spaceship could be preconfigured to detect the CMB in the direction of travel, and then trigger their quantum entangled particle to send a '0' or a '1' depending on whether the CMB was detected.

Repeat this process using any number of spaceships in any number of directions, and soon you would experimentally show how big the universe really is.

Any problems?