Longitudinal waves, the secret?

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so how fast do you have to rotate to create measurable spacetime distortions?
d=c^2/2g <=> d=c^2/2ω^2d <=> d=c/ω*sqrt(2) <=> ω=c/d sqrt2 or 2.043.549.469 rpm for 1 meter radius
that's 2 billion rpm!

why make an alcubierre drive when you can rotate stuff with billions of rpms to make a warp drive?

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let's say you have two point-reference frames just like in relativity theory called A and B

there is no way to know which one is rotating

if you're an outside observer you know that A is orbiting B but for A it's B that's rotating because for point reference frames there are no centrifugal forces and A is stationary for itself, in one case it's A on the outside of B and on the other case it's B outside of A but these two are the same because there's no way for A or B to know which one is rotating for real!

we've covered two cases for now

now let's say that both A and B are rotating at the same speed, in the first case it's A on the outside of B so
A observes B accelerating in the opposite direction with acceleration a=v^2/r , in the second case it's B outside of A and A observers B accelerating towards it with acceleration a=v^2/r so this is equal to a gravitational potential a=g, any acceleration is equal to a gravitational potential or a spacetime distortion  and a=v^2/r applies for any kind of motion linear or circular

does the direction of a matter? no since this acceleration points anywhere on a circle so it can have all directions it doesn't have to be towards the center so the acceleration can point to another direction than r

the most important result is the lorrentz factor is now γ=1/sqrt(1-ar/c^2) so for a distance of one light second or 300.000.000 meters any acceleration would result in very large apparent contraction and dilation

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Nice stuff, Geon! A bit to mathematical for me, at the moment, as i cannot spend so much time on this.
What do you know about these longitudinal waves and their properties of being sucked up by water and to create a higher state of energy in the water?

Cheers!

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I don't know about water sucking energy from longitudinal waves,  I'm taking a break, I need to make some $$, sometime I'll get back to it, the math is very simple, I mean I haven't used tensors in any of this, I just use algebra and differentiation for every proof, maybe I need to make some new notation or something. it's too much of a coincidence that I can get the same results when I equate linear with circular motion, I mean when something rotates it gains mass because it gains energy so it gains gravitational potential or I should say everything around it gains mass btw where is sebosfato?

there's one important rule in the universe and that is the action-reaction principle or conservation of momentum! too big of a framework needed to justify longitudinal action-reaction!

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if the universe is spinning then it has a center and two points A and B are r1 and r2 away from it,  A or B don't know the universe is spinning but the motion is equivalent to the points A and B spinning instead of the universe so A observes B moving away with acceleration a=v^2/r but ω=v^2/r
a=a2-a1=v2^2/r2 - v1^2/r1 = ω(r2-r1) = ω r <=> a = ω r so this means it's as if B is on a circular trajectory around A

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this acceleration is similar to gravitational acceleration or gravitational repulsion which is theorized to be possible and some say they have measured it in space

1st A and B are spinning around the center of the universe
2nd the universe is spinning and A and B are stationary

in the first case neither A or B knows they're moving since their angular speeds are the same , they only think that there is a gravitational repulsion between them exactly like gravity but a repulsion instead of attraction

the trajectory or geodesic of the circular path is pushed to a straight line in order to nullify any curvature ,
this is the centrifugal force, it forces an object doing a circular motion to a straight motion

but what if the universe is spinning like the second case? then the circular path is the null geodesic and instead of forcing a circle to a straight line now a straight line is forced to a circle

this means that with the rotation of the universe each object is pushed towards to each other and the second case is identical to a gravitational attraction like the one we observe ourselves

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little bit how the coulomb force works