Is this why relativity and quantum physics don't mix?

[least_action]

In one of Feynmans messenger lectures he proved that relativity implies local conservation of energy using the lagrangian (energy can't jump from one place to another). In the atom of quantum theory the electron jumps around in various discrete orbits. This seems like a contradiction.

Is this 'the' problem with unifying relativity and quantum theory? What other problems are there?

 

[gk007]

I think it has something to do with "renormalization" which is used in Quantum Mechanics to make answers reasonable (basically), but when you try to "renormalize" a gravity meadiator (such as a Graviton) the equations fail.

Also in places at the quantum scale, but with huge gravity (like in a black hole) the equations also give infinite answers and stupid results.

 

[JDługosz]

No, all quantum therories are "relativistic" which means the same kind of Ponciare symmetry is designed in from the beginning.

 

[jtbell]

In the atom of quantum theory the electron jumps around in various discrete orbits.

No, it doesn't. There no electron "orbits" in the classical sense. Instead, there are probability distributions which have different shapes for each energy state, but which overlap each other significantly. See for example

http://www.phy.davidson.edu/stuhome/cabell_f/density.html

 

[least_action]

No, it doesn't. There no electron "orbits" in the classical sense. Instead, there are probability distributions which have different shapes for each energy state, but which overlap each other significantly. See for example

http://www.phy.davidson.edu/stuhome/cabell_f/density.html

Oh okay so there are not orbits but energy levels, Schrödinger said:

"... It reminds a physicist of quantum theory - no intermediate energies occurring between two neighbouring energy levels. ... The mutations are actually caused by a quantum jump in the gene molecule."

and it is this idea of a jump between energy levels which I think contradicts the theorem Feynman wrote about the Lagrangian.