Guestfornow:
I was reading back over this thread to gauge the thinking, and I couldn't see what this is trying to say at first.
I'm glad you're giving it some thought. That's more than some people here have been willing to do.
Forms of energy are standard physics. About turning energy into light: the only problem is the energy has to have a form.
That follows since energy is conserved, at least it is locally. Energy doesn't exist by itself, it takes a form.
Doesn't this idea that energy has many forms strike you as very nebulous - especially when energy magically changes from one "form" to another?
People in this thread have claimed, for instance, that "light energy" can "change into "electrical energy". If so, then what's the actual process that goes on when the energy changes from one "form" to another? What's happening to the energy? Can we see the energy changing form? Can we catch it in the act of changing form? What does it look like as its form is changing?
Another specific problem I have raised is that sometimes the energy doesn't seem to be located in any specific place. If I hold a rock with mass m at height h above the ground and say "The gravitational potential energy here is E=mgh, where g is the acceleration due to gravity", where is the energy, exactly? What is its "form"? What process went on to make it have the "form" of gravitational potential energy. And doesn't that word "potential" worry you, even a little? What does it mean for the energy? Is the energy still there, if it's only "potential energy"? How can you tell?
In natural units, energy and mass are equivalent.
You're talking about a mathematical equation, there, without making it explicit.
Matter is a form of energy.
NO! That's the same mistake as "photons are a form of energy". The map is not the territory.
And maybe you can't turn energy into light, but if you pass a current through a lightbulb the filament will do it for you.
A hot filament doesn't "turn energy into light". How could it?
We say the energy in the electric current is converted to energy in the filament.
Okay. There's no problem with that. You're talking about a conceptual thing, there, not making silly claims that the energy can be turned into matter, or similar.
Maybe it's all smoke and mirrors, but it works at the level of analysis, which in physics is rather important.
Maps are important for understanding territories.
And you aren't doing that, are you?
Yes, but I have not
merely repeated my assertion. I have
explained why it is correct, in a number of different ways. I have
justified my assertion. I have made logical arguments in support of it, which so far stand unrefuted by any logical counterargument.
Most of the responses I have had from those who disagree with me have been simple denials. I couldn't possibly be right, because those people all
just know that energy isn't just conceptual. That's not an argument against my position, nor an argument for the opposite position.
Recently, we've seen a few attempts at argument-from-authority. That argument goes: some internet sources say photons are a form of energy, so they must be right (for some yet-to-be-specified reason). People looking for safety in numbers, rather than trying to muster a rebuttal of my argument (not just mine, of course: full credit to exchemist and origin, who both clearly understood the argument the first time they encountered it, and who made valuable contributions in finding new ways of explaining it to those who are still struggling).
I haven't asserted that. I've asserted that photons are a discrete form of energy.
Photons are not a "form of energy".
Photons have momentum, spin, polarisation, frequency, etc. Energy has none of those things.
It makes no sense at all to claim that photons are energy, if energy lacks the most of the properties that photons have.
Photons really do exist and they are a form of energy, namely electromagnetic energy.
The question of whether photons "really do exist" is a question that might need it's own discussion, later. I think we can agree that
light really does exist. But it cannot be a "form of energy", if for no other reason that all "forms of energy" lack certain propertie that light has. (What's the colour of energy, for instance?)
Perhaps it is the case that energy in whatever form it has, is a concept. I can't say, because physics doesn't say either.
Physics does say. Unfortunately, this point is not explicit in most introductory textbooks. Rather, it is assumed that students will intuitively understand that the map is not the territory. Experience shows that this is a bad assumption. We're seeing that play out right here.
And so, how does [the mathematical definition of energy] lead to the, logical, conclusion that energy is mathematical?
How could it logically lead to any other conclusion? If something is defined to be a mathematical thing, then it's a mathematical thing.
If I count some grains of sand, does that mean sand is mathematical. Or just the counting part?
If you count grains of sand, you'll end up with a
number. You will call it "the number of grains of sand". You will, in all likelihood, understand that the number of grains of sand is not the sand itself. You probably won't confuse the number of grains for some sand, or the sand for a number of grains.
After your counting, you'll have a more comprehensive mental map of the sand. Before counting, you knew there was "some sand". After the counting, you know there's "2720 grains of sand" (assuming you've counted correctly).
You'll be very unlikely to say things like "the sand turned into 2720" or "2720 turned into some sand" or "2720 is a form of sand". Because, most likely, you know how to tell the difference, in this case, between a number and some stuff.
Next, you need to work out how to tell the difference between a number called "energy" and some stuff.