Rules:
*You can teleport into and out of it at will
*It has a couple of plug sockets and can connect to internet from the region you teleported in from
*You can take objects and people with you
*As already stated, it is (3m)^3 (3m*3m*3m). The walls are plain plaster with a light in the middle of the ceiling. The pocket dimension is topologically toroidal, so if there weren’t walls and a ceiling/floor (which you can actually destroy) you would loop if you went more than 3m in any direction. Gravity, then, is artificial and can be altered to anywhere from 0 to 2g from a dial on the wall.
Edit: additional specifications
*You can only teleport out to where you teleported in from.
*Time proceeds at the same rate inside the pocket dimension
*There is an eject button for those inside to get out if something happens to you
break top
break bottom
insert shit ton of rocks
set gravity to 2g for faster gravitational acceleration
I have acquired rocks that can keep falling and build up velocity forever.
live life as usual; when I’m old enough to near death, aim for anywhere within the planet with said rocks.
Assuming I fill the 3x3x3 box half to half with sandstone and air; its weight will be 33kg.
If I live for 70 years more, assuming the gravitational acceleration is 19.72 m/s^2; I can generate stones that can go up to 156.8 billion km/s (or 145 times the speed of light)
Using the kinetic energy formula; I’m pretty sure unleashing this anywhere will be enough to destroy a huge chunk of the existing universe and in the end I’ll be the person to go out of the world with the biggest bang.
Well, specifics about the big bang is not known; but I’ll be its closest contender if it is correct.
A half room full of sandstone is 33kg? 27m³ room filled half with sandstone? By my calculation it’s more like 31,400 kg
whoops, I mistook 1 m³ as 100 cm³
They wouldn’t go faster than terminal velocity if you keep air in the chamber, and even if you remove it, they won’t go faster than c. They’ll still go pretty fast, though.
I don’t think the drag force due to air would work the same in a system with such a high concentration of rocks. It’s not like one object falling through undisturbed fluid, which then has to get out of the way, in this case the air would gradually start to move along with the rocks.
This might be better modelled as turbulent flow of a mixed solid/air suspension. But there’s no ‘edges’ to the flow due to the looped dimension, so the viscous forces are pretty uniform… There would still be a terminal velocity, but much much higher than a rock falling through an atmosphere
Also I imagine the rocks would quickly grind themselves to very fine dust, once they pick up a bit of kinetic energy, so then it would behave more like a fluid with uniform density… Could it even end up as laminar flow?
i don’t think they would grind themselves to dust, as they’re all moving in the same direction therefore their reaktive Velocity compared to each other would be (near) 0, not giving them much energy
Any energy lost to air friction would be transferred into the air. In a closed looped system with constant acceleration a single falling brick would eventually stir the air up into a light-speed wind.
Keeping the air was a mistake but I don’t see why it wouldn’t be able to go faster than c.
According to special relativity, the energy of an object with rest mass m and speed v is given by γmc2, where γ is the Lorentz factor defined above^1. […] The γ factor approaches infinity as v approaches c, and it would take an infinite amount of energy to accelerate an object with mass to the speed of light. The speed of light is the upper limit for the speeds of objects with positive rest mass[…] This is experimentally established in many tests of relativistic energy and momentum.
More generally, it is impossible for signals or energy to travel faster than c. One argument for this follows from the counter-intuitive implication of special relativity known as the relativity of simultaneity. If the spatial distance between two events A and B is greater than the time interval between them multiplied by c then there are frames of reference in which A precedes B, others in which B precedes A, and others in which they are simultaneous. As a result, if something were travelling faster than c relative to an inertial frame of reference, it would be travelling backwards in time relative to another frame, and causality would be violated. In such a frame of reference, an “effect” could be observed before its “cause”. Such a violation of causality has never been recorded, and would lead to paradoxes such as the tachyonic antitelephone.
More info here
1 γ = (1 − v2/c2)−1/2