Electric Sun & Magnetic Reconnection VI
It's funny you should cite this book. Out of the hundreds of pages, and the dozens of times the authors use the term "magnetic energy", they never once define the term, just as you haven't defined it. They use this term dozens of times without ever putting forth a working definition of the term. What is "magnetic energy", Timmy-Thom?
Magnetic energy (the energy stored in a magnetic field)
That definition doesn't come from the book Timmy-Thom cited, and it isn't referenced anywhere in that book, either. I take it this is the definition you personally subscribe to. Can you explain this phenomenon of storing energy in a magnetic field? Can we exploit this to power devices by storing energy in a magnetic field instead of in batteries? Or is that how batteries work, by storing energy in magnetic fields? Does a magnetic field have more magnetic energy when it's at a higher temperature or less? Can a magnetic field even have a temperature? I confess I was never taught the answers to these questions in school.
Here is the definition of "magnetic energy" from the hyperphysics webpage cited by
Reality Check
[latex]\eta_\B = \dfrac{B^2}{2\mu}[/latex]
Here is the definition of "magnetic energy" from the book I cited, link shown above, found on page 73 by looking in the index for the subject "magnetic energy".
[latex]W_m (t) = \int_D \dfrac{B^2}{(2\mu)}dV[/latex]
Notice the common term in both equations:
[latex] \dfrac{B^2}{2\mu}[/latex] (where [latex]\mu[/latex] is the
magnetic permeability of free space)
The definition from the hyperphysics webpage is actually the
energy density of the magnetic field, that is the energy per unit volume of the field. It is the standard definition as found in any textbook on electromagnetism you choose to pull off the shelf, and it is explicitly stated on that webpage that it is in fact the energy density.
Now you see that the definition of magnetic energy as found in the Priest & Forbes textbook is simply the volume integral over the domain
D of the magnetic field energy density, which of course translates into the total energy of the magnetic field.
So, to start we see that the term "magnetic energy" is in fact defined in the book, despite complaints to the contrary, and that it is in fact found in the index at the back of the book (took me 3 or 4 minutes counting the time it took to go get the book). Secondly, the definition of the field energy density is basic freshman physics, found in any textbook. Thirdly, volume integrals are a very standard application from basic calculus. Anybody who has ever studied mathematics beyond simple algebra knows very well that the volume integral of a density is simply the sum of the density over the volume.
I did not define my terms because they are very basic, common knowledge, and assumed they were already known by the participants in this discussion. I will be happy to present the appropriate definitions if asked. There is no conspiracy to hide information at work here, only my own naive expectation that people actually understand areas of science where they appear to claim expertise beyond the amateur level.
All that said, the physics of magnetic reconnection is presented in great detail, in both physical theory and laboratory practice, in many sources, some of which I have already cited numerous times in the past. Therefore I will assert that vague & general claims that the process is impossible just don't fly. The science is presented in detail, and counter arguments should be presented in equal detail in order to consider them to be worthy of consideration at all.