In my opinion, the information within a limited volume of space is infinite. ...Can this be true in in Quantum Mechanics ?

Mathematically speaking, you could measure the position and velocity of every fundamental particle to infinite precision, which would produce an infinite amount of data.

However, quantum theory tells us that:

- The position and velocity of subatomic particles is a bit "fuzzy", so you can't actually measure it to infinite precision

- If you

*did* try to measure to great precision, the measurement process itself would disturb the trajectory of the particles you are measuring

- Measurement requires energy, and measurement to infinite precision would require infinite energy; expending infinite energy in a finite volume of space would represent a severe disturbance to this volume of space!

So there is an effective maximum amount of information that could (in principle) be extracted from a given volume of space.