## Plus Advent Calendar Door #19: What's the problem with quantum gravity?

*Today we'll go right to the heart of modern physics where lurks a terrible puzzle: the
two main theories that describe the world we live in just won't fit
together.*

The force of gravity is described by Einstein's general theory of relativity. As we saw behind previous doors, general relativity says that space and time can be curved by massive objects.

The other two fundamental forces of nature (the electroweak force and the strong nuclear force), as well as the fundamental particles, are described by quantum physics. A main result in this context is Heisenberg's uncertainty principle, which implies that you can never determine the location and motion of particles at the same time with complete precision (more accurately, the classical concepts of position and momentum cannot coexist with perfect sharpness).

But if those particles have mass, then
according to general relativity, their motion effects the shape of space and
time. Putting both theories together implies that you can't
determine the space and time in which particles exist and move. That's
clearly a problem, and displays a significant incompatibility between relativity and quantum theory. Physicists are hard at work developing
a unifying *theory of quantum gravity*, but it's proving to be very, very tricky. One contender is *string theory*, which has taken the radical step of giving up the fundamental notion of a "point" in space and time.

You can find out more about Einstein and relativity in this article. And to find out more about string theory, remember to open tomorrow's door!

*This year's advent calendar was inspired by our work on the documentary series, Universe Unravelled, which explores the work done by researchers at the Stephen Hawking Centre for Theoretical Cosmology and is available on discovery+. Return to the 2020 Plus Advent Calendar.*