Wanderer101 wrote:The accelerated motion of an unbalanced charge causes the space adjacent to the object to contract..
Shall we say, that when a charge accelerates, all the other charges in the universe feel a force trying to make them move? Which is to say, I think I'm contradicting you here?
Wanderer101 wrote:..This contraction of space is what we call the gravitational field.
But, an electromagnetic field is what is created, whenever charges are accelerated.
Let’s begin with the definition of gravitational field: The gravitational field at any point P in space is defined as the gravitational force felt by a tiny unit mass placed at P.
In which case, if by going to an accelerated frame the gravitational field can be made to vanish, at least locally, it cannot be that it stores energy in a simply defined local way like the electric field--besides, gravity is related to mass: the greater an object’s mass, the greater the gravitational force it exerts on other objects. So I guess I'm not sure to what degree you are rejecting mainstream physics, you've got maxwell's equations on board, and etc.? Are you just picturing all this in a different way? Not quite following you on gravity.
Wanderer101 wrote:I agree with everything except the inclusion of the words abstract concepts .
What is the basis for this statement? Why does he believe that these things are abstract concepts?
The issue here, and it may not ultimately be about Schopenhauer, is that there are different kinds of concepts. Energy, what kind of concept is it? It is defined, postulated, in geometrical terms, energy is made of energy. Heat is made of heat. A chair is a different kind of concept. I might say that a chair has four legs, but add that I don't know much about chairs, I'm not an expert. I might study the subject. There is nothing to learn about energy, it's invented, it's already been defined. Are you going to ask, what is it made of? It's made of energy. Conservation of energy, is the whole concept of energy. It's a purely mathematical relation. I'm not impatient to get anywhere with these kinds of musings, the idea that there are different kinds of concepts is difficult.
Wanderer101 wrote:Could you try saying it in another way that makes it clear why he thinks everything in nature is an abstract concept?
No, not 'everything in nature is an abstract concept'. Rather, notice that when you look around, look up at the sky, you see material objects. This is the world that you experience. This is a world of cause and effect. When, however, you look at mathematical equations, e=mc^2, f=ma, etc., this is not a world of cause and effect. These relations go in both directions, which is the cause, which is the effect? In the world that you experience, there is cause and effect, because you experience it that way. In these math equations, you are not in the equation. Nothing material exists in these equations, the world that they are about, is a world in which you do not exist. Einstein's 'empty space in its physical relations'. What I interpret this to be about, is there are multiple ways of looking at the same thing.
Here is a very interesting point--what is the relationship between 'mass', and 'matter'? Note, you can turn mass into energy. What about matter? Can you turn matter into energy? Sure, and without nuclear physics. You can eat something. What, however, is the precise, technical difference between mass and matter, are they synonymous? Matter is 'anything that has mass and takes up space', you're familiar with this kind of definition? Kind of tricky, though, isn't it, maybe? Maybe you would add, that all matter can be broken down into tiny particles called elements. Now we're getting somewhere. Then, is mass of an object a measure of how much matter it has?
Not really trying to get anywhere fast w/these musings, but note, that you can understand 'mass' by thinking about weight.
I'm quite tempted to just delete these Schopenhauerian musings, because I'd really need much more space in which to dial out about them, I put these quotes up originally because I wanted to share something of why I hesitate at talking about something like gravity, or accelerations, 'causing' anything. Where Schopenhauer calls this kind of talk 'absurd', is the point--if you look at a geometrical grid, where there are coordinates for things, and math equations, there's no movement here, it's not like watching a movie. You don't say that the 'x' on the grid is me, let's watch this guy--oh, now he's decided to go to Starbucks! If there is movement, that would mean there is a curve that has been drawn. It's all there. There's no 'free will' and also, this part is maybe more difficult, there is no 'cause and effect'. There is only math. Which is neither. Math is equations--consider the nature of equality. This is this. This is the same thing as this. And this, over here, this is this. This is the same thing. That is the same as this, and this is the same as that. Which isn't 'cause and effect'. I see the pattern between these equations. Etc. Not 'cause and effect'.
It comes into what I make of this quote:
Wanderer101 wrote:Remember everything from my concept of reality is mechanical. So this equation represents a physical mechanical structure. A real physical mechanical structure not just an abstract one. You take a stab at this and then I will try and add to it.
Lots of heavy going here, 'real'!! 'physical'!! mechanical structure NotJustAnAbstractOne. This equation represents a physical mechanical structure. Everything frommyconceptofreality is mechanical (everything is mechanical, perhaps?). I'm considering what you take this assertion to mean--what are you saying? If you consider mechanics, as a part of physics, there is classical mechanics, is what I think you might mean (certainly not quantum 'mechanics', right?).
Traditionally, classical mechanics is a sub-discipline which applies under certain restricted circumstances, pertains to specific situations. I expect you to be complaining, about how quantum mechanics has superseded classical mechanics at the foundational level. I'll add here, that subjects belonging to mechanics and fields are closely interwoven. Forces that act on particles are frequently derived from fields (electromagnetic or gravitational), while particles generate fields by acting as sources, this kind of thing, which we appear to be getting into.
Shall we say, that mechanics is the branch of physics dealing with the study of motion. Describing motions, dealing with the causes of motion (which is dynamics).
I talk a lot about energy and the conservation of energy, that's dynamics. Maybe let's do a little concept summary.
If an object is moving, it has energy, the energy of motion, kinetic energy. Kinetic energy depends on (is directly proportional to) the object's mass. Also, kinetic energy depends on (is directly proportional to) the square of the object's speed.
When the kinetic energy of an object changes, work has been done on the object. Sometimes work is not converted directly into kinetic energy. Instead it is 'stored' or 'hidden'. This is my notion of mass, which I suppose to be compatible with mainstream physics, although I somehow don't see it discussed in precisely these terms, mass, is, it seems to me, stored energy, or energy that an object (system?) has due to its position, or arrangement. Or, mass is stored work.
Then, how is energy, or work, stored? That happens, when a force does work 'against' a force such as the gravitational force or a Hooke's Law (spring) force. Forces that store or hide energy are called 'conservative forces'.
As I say, this is just a concept summary--you're on board w/all this so far? We'd perhaps get into pair production from here, some of your comments about where mass comes from, I don't know where you stand on traditional pair production, but I'll assume you know what I mean by asking.
Wanderer101 wrote:If you mean that mass is the opposite of a wave. I am not sure that I would agree with that.
Mass is wave. Which is to say, there is similarity. Always in math, equality means similarity. By 'converse' I mean, also, wave is mass. There is similarity. To understand the mass in detail, we have to begin from the tiny atomic level of mass, which are the electrons and atoms. Mass is made by light. Is this controversial, even? The ingredient of mass is nothing but the M&E field. I've made these kinds of assertions before, you seem eager to agree on this specific point.
But then, if we relate mass and light, what do we base this on, for better illustration and understanding? Suppose, that generally, light is a traveling point energy. Mass is a non-traveling point energy. This is where I figured I was going w/it. For EM waves, the photon travels from one point to another point. Now, an EM wave is massless, but an electron has mass. What's the difference? Well, waves are one kind of kinetic energy transfer from one point to another point. Wave is a method of transferring energy, but not transferring substances or particles. Again, wave is a phenomenon of energy transfer, from one point to another point, but, which does not involve an object to be moved, from one point to another point.
Now, the angular momentum and magnetic dipole of an atom, show that electrons are circulating in an atom. Right? Orbiting electrons in an atom, exert a centrifugal force. But, electrons circulate in an atom, without releasing EM waves. What to make of these curiosities. Electrons do not emit electromagnetic waves. Well, electrons travel in the atom at a certain velocity, due to the balance of the magnetic and electric forces. Right? Do you have an unusual atom model (do I? not intentionally..)?
I threatened to get into pair production earlier, I mean, you know, a gamma photon is transformed into two particles, right? An electron and a positron. Pair production adheres to conservation of energy, conservation of linear momentum, conservation of angular momentum, conservation of charge. Do I assume that none of these principles needs to be explained? Not sure. Do we know about this process of transformation, pair production? Which is to say, do you? Do you disagree? Work is required, etc. One half of a photon transforms to an electron, and another half of a photon transforms to a positron, right? Work is done to squeeze the photon to become the particles. The squeezing of the M&E field of a photon to particles produces the magnetic dipole characteristic of particles. The magnetic and electric dipoles are deformed to a point. The magnetic dipole moment is produced. The vector of the magnetic dipole moment is perpendicular to the vector of magnetic field and torque.
I'm perhaps a bit rusty, but. Comments?
-- Updated August 15th, 2012, 8:39 pm to add the following --
A few extra notes--I can honestly say, that I've never seriously considered before, in this discussion, that you might actually have an idea for a unified force equation. But.
Your explanations that you already know that “Maxwell’s” vector equations are actually truncated (a serious truncation) equations. This is interesting. Tell me again, what you think constitutes gravity? You have a hypothesis, here? You think that the math of gravity and electromagnetism should be similar..? Maxwell was rewriting and greatly 'watering down' his own famous Treatise, some 80% of it, at the time of his death, because it was 'tainted' with a higher group symmetry algebra. Quaternions. I recall, in this connection, that you think it is reasonable to believe you have found a way to unify gravity with the forces of electromagnetism, the weak and strong forces in a way that can been quantized. Only unloved math tools are used?
I suppose, that, well, yes, the Maxwell equations are a system of differential equations. I suppose that it will have a quaternion representation. You *want* to see the Maxwell action of electromagnetism represented, using the noncommutative division algebra of quaternions? Unfortunately, the algebra is complicated.
The deep insight into gravity provided by general relativity, what is it, that the geometry of spacetime is not presumed? (my assertion) That is, electromagnetism works no matter what the metric happens to be. But, in general relativity, the metric can vary depending on where the observer is in spacetime: being closer to a mass source will have more spacetime curvature.
So, perhaps you figure, quaternions, because mathematical fields are equipped with four operations: addition, subtraction, multiplication, and division. What about, though, quaternions, associative division algebra? This other finite dimension? The real numbers and three complex numbers, that share the same real number, but have 3 independent imaginary numbers.
Quaternions remove an element of choice in vector analysis, which may be a good thing? Gravity, being all about how measurements change as one moves around a differentiable 4D manifold?
That is, observers sit at here-now in spacetime, or numerically at (0, 0, 0, 0)? In your view, quaternions represent an event in 4D spacetime.
Everyone does quantum mechanics over the complex numbers, hmm..
I expect you to be trying to clarify how the parallels between gravity and electromagnetism are evident. Of course, they are.
The Maxwell equations are gauge invariant. To unify electromagnetism with gravity, the gauge symmetry must be broken, opening the door to massive particles. The Maxwell equations apply to massless particles. Gauge symmetry is broken for massive fields.
Gravity is a metric theory, electromagnetism is not.
One problem, offhand, gravitational waves in general relativity are transverse? What is the mode, then, for you? Orthogonal to electromagnetism?
There may be some algebraic path here, I'm in over my head. Electromagnetism cannot be depicted in purely geometric terms.
Gravity is all about oscillations. You want to do calculus in *four* dimensions?
-- Updated August 16th, 2012, 1:16 am to add the following --
Check out this incredible, mechanical targetting computer. The machine computes functions like addition and multiplication with gears — you can see the mechanics unfolding!
http://www.youtube.com/watch?v=-F7m02XD ... r_embedded