Time varying magnetic field and faradays law of induction According to faraday's law we say that , whenever a magnetic field varies with time it creates an "electric field" .
But I do not understand , how can a time varying magnetic field produce electric field. What's the mechanism behind it?? 
I have also read on internet that due to Lorentz transformation a magnetic field creates a an electric field but , why does a change in reference frame turn a magnetic field into an electric field
And , also a time varying magnetic field creates an electric field in matter like conductors and also in empty space , how can there be an electric field in empty space where there are no charges
I want to know the reason in terms of Relativity or quantum mechanics
Thank you
 A: I distinguish two good questions. Q1 is about Faraday's law and Q2 about field transformation. First Q2. E and B are components of an antisymmetric rank 2 field tensor. The values of E and B therefore depend on the reference frame. This is no different from velocity and energy, which as also depend on the reference frame . As to Q1, the rotation of B and the time derivative of E are two ways to write down the exact same thing, $\partial_t \vec \nabla \times \vec A$. 
A: Electric and magnetic fields are not completely separate independent entities. They are just components of a single field: electromagnetic field. This can be seen in the electromagnetic tensor. Components depend on frame of reference, even though the physical object (electromagnetic field) is the same. What looks like a pure electric field in one frame of reference, can look like electric and magnetic field in another frame.
From that you can see that electric field is not literally "created" by magnetic field. They are parts of the same object.
Change of reference frame turns magnetic field into electric field for the same reason, why change of reference frame turns the coordinate $x=0$ into $x\ne0$.
