# quantum bridge

**Quantum mechanics and uncertainty**

The uncertainty principle is a physical limit: a particle does not have a sharp position and momentum at the same time. Gödel is a logical limit on formal systems. They are limits of different kinds that share one lesson, that a complete, fully determined description does not exist. Both broke an early-1900s dream (Laplace’s predictable universe, Hilbert’s complete mathematics).

There is one real bridge. In 2015, Cubitt, Perez-Garcia and Wolf showed that for certain quantum materials, whether the system has an energy gap is undecidable. Other links, like Penrose’s, are speculation that most logicians reject.

Connects to:
- [checkable or not](https://mapideas.org/i/c_check)
- [Cubitt et al.](https://mapideas.org/i/b_cub)
- [Gödel](https://mapideas.org/i/godel)

Sources:
- [Wikipedia: Uncertainty principle](https://en.wikipedia.org/wiki/Uncertainty_principle)

Source: https://mapideas.org/i/c_quantum · open on the map: https://mapideas.org/#c_quantum