i’ve written the following paper. what do you think of it?
full pdf here: https://files.catbox.moe/xaoyto.pdf
please give constructive criticism and don’t just say “muh duh impossible”
i’ve written the following paper. what do you think of it?
full pdf here: https://files.catbox.moe/xaoyto.pdf
please give constructive criticism and don’t just say “muh duh impossible”
Ok, let’s use that example. So imagine you had a large square of rubber and you drew a coordinate plane on it. Then you drew a line segment between points (1,1) and (3,1). You can stretch the rubber until it’s significantly longer, but your line is always exactly 2 units long, even if the rubber stretches.
The thing is, space is the geometry of the universe, it’s what all the various particles in the universe are bound to. Matter isn’t fixed to any point relative to other matter, it’s fixed to a point in space. So if space bends, matter bends with it.
This is how/why orbits work. Gravity is mass warping spacetime. Fast objects like photons sail right on by most stars with their courses barely changed. But slower moving objects like planets are experiencing this local warping of spacetime for a longer period, so it affects them more over time. The thing to note though, is that the planets, and photons are both following newtons first law, they’re traveling in a straight line unless acted upon by another object. The reason the planet orbits the star is that the star has warped space such that (given speed the planet is traveling) an orbit is a straight line.
Ah, but then we couldn’t see or experience gravity at all!
In differential geometry there’s a very important distinction between coordinate distance and actual distance. The globe and GPS coordinates give a good example - one degree of longitude is throwing distance at South Pole Station, but ~111km at the equator, even though it’s still one degree. On a curved surface additive coordinates will never describe actual distance exactly. In some cases, like a 2-spherical planet, they’re even guaranteed to break down entirely somewhere (like the exact poles).
It was a blunder mentioning rubber - this isn’t about bowling balls on a trampoline. I just meant that solid matter has a natural spacing between atoms, and if something continuously pulls it away from that - like expanding space or, I don’t know, two conveyor belts going opposite ways - it’s going to respond with a constant tension offsetting the effect. Or break.
And annoyingly, that’s only possible in more dimensions than we can picture. All a 1+1 dimensional spacetime can do is expand or contract.
Okay, nitpick
but if it’s something relativistic space-like momentum can be just as important as energy. The matter half of the Einstein equation(s) treats every component of 4-momentum equally.
Except matter IS fixed relative to other matter its how geasutres vaguely at all solids/liquids/most gasses works. The space the line is in would stretch, which would stretch the line, and then the line would contract again due to the bonds between its atoms producing tension. Of course since expansion is continuous eventually the line would snap, or if expansion suddenly became linear then the tension would reach an equilibrium and thus you couldn’t extract energy from it.