Quote:As to GR, I guess I'm in the minority here but I just don't understand the extreme visceral distaste of a theory that has been so incredibly useful. I'm a pretty standard guy and I feel if it isn't broke don't fix it.
A broken theory would be one that explains things in a logical way, but has a problem. Not only does it seem like GR has problems, but it doesn't seem to even explain gravity. Saying that "warping spacetime does it" and throwing up an equation for the attraction between two objects does not explain
why there is an attraction.
TheCorrectResponse wrote:Now let's move to the Earth as a whole. The surveyor wants to calculate the distance from New York City to Rio. We'll assume they are on a direct north-south line. His calculated distance is wrong. In fact it is always shorter than the distance measured by someone walking there. He also has the problem that his path is physically impossible unless he tunnels through part of the Earth.
I do not know what method the surveyor is using the calculate the distance from New York to Rio, but based on your tunneling through the Earth comment it sounds like he is measuring the tangent distance between the two points on the sphere of the Earth, whereas a walker follows an arc on the surface of the Earth. Even in a Euclidean geometry a tangent line is shorter than an arc between the same points, so I do not see what your point is.
Quote:To me Einstein's brilliance was to see that if you subtracted (metaphorically speaking) Euclidean geometry from Riemannian geometry you magically get
gravity. To me anyway this is far too elegant a conclusion to give up on without verrrry good reason. Well that's how I see GR. I am interested in your take on all of this.
Hm. Well, to me, GR seems highly inelegant. Perhaps this is because I do not understand it. But then again, I don't know of anyone who really does understand it. From what I've heard, even Einstein did not understand it. Do you
really understand it?
I have several majors issues with it. The first problem I have is that nobody can explain it, even advanced physicists that I talk to. I don't care what the results of the equations are, because I am only interested in understanding the theoretical concepts and not using them to make predictions. Equations are merely a formalized notation for real concepts, so when people rely 100% on equations and cannot explain what they physically represent, I am wary.
1) Both the concepts of inflation and GR move matter via the "warping" of spacetime, which as I understand it, is the "coordinate system" of the universe. Several such examples come to mind.
For instance, "light moves in straight lines or geodesics and it is really just spacetime that is curved." Or, from the famous Ripple in Time, "imagine the 3 dimensional universe existing on a flat plane; the closest distance between any two points is achieved by bending the plane so that the two points are touching each other." No, because that is only the closest distance in the embedding coordinate system, the one where our coordinate system appears as a surface. Well, you might say that's from science fiction...but GR seems to supports this kind of thinking. For example, wormholes with the Einstein-Rosen Bridge. For another example, the Alcubierre warp drive that. That's from science fiction too, but the premise of it, which is to create a bubble in spacetime that compresses spacetime in front and expands it behind to carry mass from one point to another faster than light could get there, is supported by GR. Now if it were even possible to create such an effect, that still does not make sense...if you squish some graph paper together there are still the same number of squares connecting the two points, so to take that last little "step" out of the warp bubble would be the same distance you had to travel to begin with.
Basically, my problem is that coordinates
define position and distance, so if there is a measurable change on the position of some particle, then that particle must have changed its coordinates, which is the same as saying that it moved with respect to its coordinate system.
Now here's for an analogy of my own: draw some dots on a piece of graph paper, and then start bending the graph paper around every which way. Do the dots start sliding closer to each other within the paper? Of course not. So why should warping spacetime
induce motion in otherwise stationary particles?
2) There are 3 (or 4) fundamental forces, and we have identified bosons for all of them except gravity so far. It stands to reason that gravity, which follows an inverse square law, and has a propagation speed of c, would be mediated by a particle that has a speed of c like all the other forces. Why do we have 2 completely different explanations for 2 effects that are virtually identical? The only difference between gravity and the other forces is that we assume gravity has no maximum range (which, by the way, if it is true would seem to nullify the graviton theory on a fundamental basis because any virtual particle's range is limited by its speed and the uncertainty principle). But I consider that to be a naive assumption, because we are not capable of measuring the effects of gravity at extreme ranges, and they become so negligible at long ranges that the universe would have no noticeable effect if gravity did had some extremely long maximum range. I think sometimes we have to use a grain of logic instead of just applying inductive reasoning out to the infinities of preposterousness (like assuming that the universe doesnt have an edge just because we can't see it, another completely non-falsifiable assumption).
3) The next problem I have with gravity is that I cannot visualize exactly how spacetime is purportedly deformed by it. In the diagrams, spacetime is drawn as a plane, and a massive object is depicted as resting on the plane like a basketball on a piece of 3-ply charmin towel. Is it more correct to say that mass reduces the "density" of spacetime and stretches it out in all directions from itself?