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Would wormholes transmit gravity, if so how? Seeing as wormholes transmitting gravity would prevent them from being used as a perpetual motion device, generating increasingly more kinetic energy, the way they are in the video game "Portal", and since they would transmit matter, it would stand to reason that wormholes do transmit gravity, meaning that you could feel the strength of the gravitational field at mouth A when you're in the vicinity of mouth B.

But how would this work exactly? Would the field fall off according to the interior length of the wormhole (a useful wormhole has an interior length that's less than the distance between A and B in normal space)?

If so, what would happen if I did the following:

1) Open a wormhole with mouth A near a massive star's surface and mouth B at a distance from the star that's so far away that in normal space only 0.01% of the star's surface gravity remains.

2) I made the wormhole such that it's interior length is large enough that I do not travel backwards in time (to avoid opening that can of worms), but still shorter than the normal space distance between A and B, say half the length).

3) I then catapult a mass into the mouth at A with a speed that's just enough to overcome the gravitational field inside the wormhole (it falls from 100% at A to roughly 25% at B), so the mass stands still for a split second after it exits mouth B.

4) I then collapse the wormhole and leave the mass to fall back unto the star's surface.

Naively I would expect the mass to gather more kinetic energy (because it falls from 0% field strength at B to 100% field strength at A while it only overcame 75% of the field strength to get from A to B). Repeating the whole process would then heat the star with no effort, free energy. What am I missing here (does a wormhole "suck in" extra gravitons so the gravitational gradient inside the wormhole is ultimately equal to the one outside, the same as what happens when you make a shortcut in fluid dynamics?) or does this prove traversable wormholes don't exist?

P.S. alternatively, in step 4) I could collapse the wormhole, start an engine that's attached to the mass for a brief moment to overcome the last 0.01% of the gravitational field and fly away from the star, reaching the next star with less total energy consumption than it would have taken without using a wormhole. I could even construct gravity cannons using this method, hurling masses between two planets, collecting the energy of the surface impacts and use part of that energy to hurl new masses, generating net power in the process.

But how would this work exactly? Would the field fall off according to the interior length of the wormhole (a useful wormhole has an interior length that's less than the distance between A and B in normal space)?

If so, what would happen if I did the following:

1) Open a wormhole with mouth A near a massive star's surface and mouth B at a distance from the star that's so far away that in normal space only 0.01% of the star's surface gravity remains.

2) I made the wormhole such that it's interior length is large enough that I do not travel backwards in time (to avoid opening that can of worms), but still shorter than the normal space distance between A and B, say half the length).

3) I then catapult a mass into the mouth at A with a speed that's just enough to overcome the gravitational field inside the wormhole (it falls from 100% at A to roughly 25% at B), so the mass stands still for a split second after it exits mouth B.

4) I then collapse the wormhole and leave the mass to fall back unto the star's surface.

Naively I would expect the mass to gather more kinetic energy (because it falls from 0% field strength at B to 100% field strength at A while it only overcame 75% of the field strength to get from A to B). Repeating the whole process would then heat the star with no effort, free energy. What am I missing here (does a wormhole "suck in" extra gravitons so the gravitational gradient inside the wormhole is ultimately equal to the one outside, the same as what happens when you make a shortcut in fluid dynamics?) or does this prove traversable wormholes don't exist?

P.S. alternatively, in step 4) I could collapse the wormhole, start an engine that's attached to the mass for a brief moment to overcome the last 0.01% of the gravitational field and fly away from the star, reaching the next star with less total energy consumption than it would have taken without using a wormhole. I could even construct gravity cannons using this method, hurling masses between two planets, collecting the energy of the surface impacts and use part of that energy to hurl new masses, generating net power in the process.

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