# A The uncertainty principle in quantum gravity

#### Bure

The main role in quantum gravity can be played by the uncertainty principle
, where
is the Planck length. This uncertainty principle is another form of Heisenberg's uncertainty principle between momentum and coordinate as applied to the Planck scale. Indeed, this ratio can be written as follows:
, where
is the gravitational constant,
is body mass,
is the speed of light,
is the reduced Planck constant. Reducing identical constants from two sides, we get the Heisenberg's uncertainty principle
. Uncertainty principle
predicts the appearance of virtual black holes and wormholes (quantum foam) on the Planck scale.
Is such a form of Heisenberg's uncertainty principle possible?

Related Quantum Physics News on Phys.org

#### PeterDonis

Mentor
This uncertainty principle is another form of Heisenberg's uncertainty principle between momentum and coordinate as applied to the Planck scale.
I don't see how since $r_s$ is not a momentum.

It's a common speculation that the Planck length will play some fundamental role in quantum gravity theory, but right now that's all it is, a speculation.

"The uncertainty principle in quantum gravity"

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving