List of physics paradoxes What are some important examples of paradoxes in physics which are still currently unresolved?
 A: In quantum gravity, we have the black hole information paradox. If information is thrown into a black hole past the event horizon and is destroyed at the singularity inside, and the black hole subsequently decays away via Hawking radiation, where does the information go to? If information can't travel faster than light, it can't escape from inside the black hole to outside it. But if information is truly lost, this would lead to violations of unitarity in quantum mechanics, with terrible consequences.
A: Let me assure you that all paradoxes are false paradoxes if you understand the physics. There are many misunderstandings for naive mortals like us for a period which are called "paradoxes" until resolved. Some familiar examples are


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*Twin paradox

*EPR paradox

*Schrödinger's cat paradox

*Faradays rotating disc paradox (quite an old one)

*Black hole information paradox (a recent one) (solution of this is still controversial)

A: The Vacuum Catastrophe. Quantum theory implies a vacuum or zero-point energy, and the Casimir effect tends to confirm this, but then general relativity tells us this should have a gravitational effect, which we don't observe. This is an unresolved paradox. 
A: I will put in my two cents of the euro. Paradoxes arise when two  axiomatic systems are mixed up. Paradoxes are resolved with the meta (often content versus context)concept in general cases.
Famous example: All Cretans are liars, said the Cretan.  It is resolved by the meta language level concept, where one level is the Cretan speaking, and the other is the statements coming out of his/her mouth.
One cannot mix, for example, classical thermodynamics and quantum statistical mechanics concepts without a thorough investigation of underpinnings, because both are axiomatic systems valid in certain regions of phase space and one has to be very careful of overlaps in order not to double count, the energy, as an example. ( which happens in  climate studies).
A: I think that this question has been little bit misunderstood. Paradox word came from ancient greek words para (beyond) and doxa (doctrine), so strictly speaking means "beyond the doctrine". Thus in not possible define as paradox something that simply is counterintuitive. Then a paradox is by definition "temporary". Said that, the true physical currents most famous paradoxes are:
-EPR pardox. Quantum mechanics breaks the limit of speed of light.

-Black hole information paradox. Black holes breaks the second law of thermodyamics.

-Planck length paradox. Plank length is the most little length measurable and is invariant in any reference in rest in the contrary of what GR say. 

A: Superluminal tunneling. 
Quanta may travel faster than light via tunneling. This seems to violate special relativity, could this be counted as a paradox?
