You can actually
precisely calculate the mass -> energy transformation in a chemical reaction such as combustion.
If you have a molecule such as C
2H
5OH, and a stoichiometric amount of O
2 (I'm too lazy to actually calculate the ideal ratio), turns out these molecules
are slightly more massive than the chemicals resulting from them reacting - CO
2 and H
2O.
The energy of the chemical bonds counts as mass. Ethyl alcohol and oxygen molecule are in a higher energy state than the reaction results (carbon dioxide and water). So when you introduce enough energy into a system of ethanol and oxygen to go over the disassociation energy barrier, to split these molecules into individual atoms, the soup of atoms ends up reconfiguring it at the "easiest", aka. lowest energy configuration. The energy difference (or enthalpy) is typically transitioned to relative energy forms - kinetic energy, rotational energy, and electromagnetic radiation.
The chemical energy in the bonds
does have an effect on a molecule's mass. However, you are right in that the mass difference in chemical reactions is so insignificantly small that generally it can be said that conservation of mass applies in chemical reactions. That is because the ratio between energy and mass is c
2, which is a large number, and chemical reactions typically don't produce very much energy - you need quite a lot of reactants to produce meaningful amount of energy.
In nuclear reactions the mass difference is actually measurable and that's why nuclear reactions produce so much energy from seemingly small amount of reactants.
In short: Chemical energy is differences in energy configurations of
electrons. Nuclear energy is differences in energy configurations of
protons and neutrons.
Since electron configurations are purely a result of electromagnetic interactions (in the quantum mechanical sense) and nuclear configurations are a result of mostly strong nuclear interaction*, it makes perfect sense that there is a lot more energy involved in nuclear configurations, compared to electron configurations. Strong nuclear interaction is just so much stronger than electromagnetic interaction.
*Nuclear configurations can also be affected by weak nuclear interaction, which is responsible for such things as electron capture where proton and electron interact and the proton changes into a neutron, and if I recall right the reaction also produces an electron neutrino. But in nuclear scale, the strong nuclear force vastly overpowers electromagnetic force which is, happily, the reason why matter stays intact. It's also the main reason why physically very large nuclei form instabilities in heavy elements, and become radioactive - the nuclear binding energy is reducing as radius of nucleus increases, while the electromagnetic repulsive energy increases as the amount of positive charges increases...
But, for practical purposes, if Alcubierre drive allows traveling from A to B faster than distance between A to B seems to be I would call it FTL travel and be done with it.
You didn't understand the criticism against the AD.
I did, you just didn't understand why your critique was invalid.
You can well create (theoretically) a drive that shortens the distance between A and B. What you (and many others!) are missing is that the process of "shortening up" the distance between A and B is through gravitational waves... which travel at light speed! See the problem? You can't get around this.
Your critique would be right if Alcubierre Drive were a "wave rider" of sorts.
Instead, it is based on
creating new space behind the ship while
reducing the amount of space ahead of it. Expansion and contraction of space are not in any way limited by the speed of light.
In short, Alcubierre drive would actually create an event horizon behind it since space there would be expanding faster than light can travel through it. On the front end, though, there's an opposite problem since the drive would essentially contract the space ahead - with all the photons included in that space that happen to be in it, and that would cause insane photon density.
A more valid critique would be to ask how the space-time expansion is contained so that it only translates to ship apparently moving and not, say, the universe suddenly splitting in half.
Perhaps something like creating "lanes" would eventually be possible. Really far fetched and not at all what is being discussed when speaking about ADs, since they depend on the idea of not only shortening AB but also lengthening AB in the "back" of the drive. Since this process cannot happen faster than the waves making the lane, you are still travelling slower than light.
This is basically the "stargate" method - creating a wormhole between two devices, then moving one device somewhere else while keeping the wormhole connected. Rate of creating these traveling methods would indeed be limited by how fast the other end can be transported, but once the wormhole is established, traveling through it does offer a true "bypass lane" over the limitations of space-time continuum - in effect, it creates a space-time connection between two positions that is separate from the traveling distance. This is completely free of any paradoxes, too.
Yeah, well, the problem with uncharted territory is you don't know what's behind the next hill until you get an overhead satellite pass to give you a picture.
But we do have a lot of pictures. They are all quite pessimistic in this notion. You are of course free to dream, but never should be under the illusion that current physics are giving you hints for your optimisms, for they are clearly not.
We don't have pictures, we have "artist's impressions", which is a fancy way of saying we have theories and visualizations based on those theories. These should be kept separate from actual empirical data.