Degrees of Freedom of the Theory of Everything

[Varon]

I just want to know if there is any theorem that can forbid certain degrees of freedom in the Theory of Everything.

Supposed quantum mechanics and generel Relativity are just classical limits of a third theory and the theory of everything. Is it possible for applications of this Theory of Everything to violate either QM or GR (overriding them)?

For example. Using our current understanding of QM and GR. We can only teleport quantum states and not the particle itself and we can't float in space without propulsion. Now is it possible for there to be a Theory of Everything where there is a degree of freedom to teleport an entire object from one location to another and make it float without propulsion but some kind of anti gravitation? In other worlds. Is it possible for a higher theory to negate certain properties of the lesser theory. For example. The Third Theory (or Theory of Everything) can cancel some of the limitations of QM and GR and use the capability of the Third Theory to give more degrees of freedom such as teleporting an entire object from one location to another without using wormhole or quantum state teleportation but directly by overriding QM and GR and use a higher theory to directly teleport the object??

 

[tom.stoer]

It should not be possible in the regime which is experimentally accessable already today, but in a different regime I do not see how a limitation can be derived based on logical reasoning and and w/o having this theory at hand.

 

[Varon]

It should not be possible in the regime which is experimentally accessable already today, but in a different regime I do not see how a limitation can be derived based on logical reasoning and and w/o having this theory at hand.

Taking the case of Newtonian physics versus quantum and relastivistic physics. The latter has extra degrees of freedom like quantum tunneling which Newtonian can't do and time dilation. So I wonder if the Final Theory has other degrees of freedom. But in Newtonian, there are no atoms or electrons and objects are not accelerated near the speed of light. Can you give an example of how some Newtonian stuff that is thought to be impossible can be influenced by quantum and relativistic physics?

Are their theorems or laws that says that in going from a classical limit to a deeper theory. The deeper theory must still satisfy the classical limit. In quantum and relativistic physics. What part of Newtonian it still uses and can't break the laws of for instance? I can think of one now.. conservation of energy.. what else?

 

[tom.stoer]

There is no way to derive from pure logic w/o any theory at hand what will be possible / not possible in this new theory.

When going from the real numbers to the complex numbers the property x² ≥ 0 is lost. How shall I predict this using only the reals and w/o referring to the complex numbers?

The classical limit doesn't help as it is only a limit. There is no unique way to derive a deeper theory (or a quantum theory) from a classical one.

 

[dhillonv10]

An interesting idea you have there Varon, but as stated previously we can't use the classical limit to derive a new deeper theory. Another point is that, taking the analogy of Newtonian vs GR physics, all the phenomenon is accounted for, what i mean is that we know that gravity is a force, now Newton described it one way and Einstein did it differently, then later on we find that there are other solutions to the field equations that give us interesting objects such as black holes. Now the only GUT we have at this point is string/M/F - theory which add a LOT of stuff to our classical theories, the prime example being extra dimension, there are some subtle differences in the tearing of spacetime that string theory allows but GR doesn't however those are then accounted for by using something called the string winding number, these technical words don't matter at this point, what must be noted is that we can derive GR from string theory equations, a GUT will simply add more degrees of freedom to our current theories and as you speculate maybe give us new description of phenomenon that we observe but should any contradictions arise, the GUT will have to be modified to account for those.