I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can decrease it as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions).

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path (geodesic) from the interior to the exterior is "focused" at the smaller boundary). Then again, it depends on the exact shape of the boundary (it might spread (diffuse) the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100-1000kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other hard physical object (due to a pressure differential and/or build up of air at the boundary), which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want and/or controlling inertia is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can decrease it as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions).

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path (geodesic) from the interior to the exterior is "focused" at the smaller boundary). Then again, it depends on the exact shape of the boundary (it might spread (diffuse) the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other hard physical object (due to a pressure differential and/or build up of air at the boundary), which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want and/or controlling inertia is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can decrease it as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions).

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path (geodesic) from the interior to the exterior is "focused" at the smaller boundary). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other hard physical object (due to a pressure differential and/or build up of air at the boundary), which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want and/or controlling inertia is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can decrease it as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions).

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path (geodesic) from the interior to the exterior is "focused" at the smaller boundary). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other hard physical object (due to a pressure differential and/or build up of air at the boundary), which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want and/or controlling inertia is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can decrease it as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions).

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other hard physical object (due to a pressure differential and/or build up of air at the boundary), which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want and/or controlling inertia is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can decrease it as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other hard physical object (due to a pressure differential and/or build up of air at the boundary), which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want and/or controlling inertia is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other hard physical object (due to a pressure differential and/or build up of air at the boundary), which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want and/or controlling inertia is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other hard physical object (due to a pressure differential and/or build up of air at the boundary), which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the general solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly, altering the path for the light.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the general solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (including its boundary) would be motivating the change, and would thus be changing shape slightly.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the general solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble itself (and thus its boundary) would be motivating the change, and would thus be changing shape slightly. That visual effect would be the case regardless of the relative sizes of the interior/exterior.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the general solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or possibly increase it as a trade off for altering the relative interior/exterior dimensions). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble boundary itself would be motivating the change, and would thus be changing shape slightly. That visual effect would be the case regardless of the relative sizes of the interior/exterior.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the general solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or increase it in the case of altering the relative interior/exterior as the case may be). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, I think the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). Then again, it depends on the exact shape of the boundary (it might spread the light e.g.). Regardless, I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble boundary itself would be motivating the change, and would thus be changing shape slightly. That visual effect would be the case regardless of the relative sizes of the interior/exterior.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the general solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or increase it in the case of altering the relative interior/exterior as the case may be). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble boundary itself would be motivating the change, and would thus be changing shape slightly. That visual effect would be the case regardless of the relative sizes of the interior/exterior.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how the exterior surface of the bubble would interact with the atmosphere, though I think it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the general solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or increase it in the case of altering the relative interior/exterior as the case may be). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble boundary itself would be motivating the change, and would thus be changing shape slightly. That visual effect would be the case regardless of the relative sizes of the interior/exterior.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how that would interact with the atmosphere, though it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).

I am interested in your conclusions about the requirements for the warp drive.

The energy component of the energy momentum tensor (T00) in the general solution to the Alcubierre metric is a function of the speed of light (c^4), the velocity (v^2), the physical shape of the transition region (the bubble shape) as a function of the interior (df/dr)^2, and the size of the interior relative to the exterior ((y^2 + x^2)/r^2). Changing any of those things changes the energy requirements. Thus going slower than the speed of light (or much slower as the case may be) substantially reduces the energy requirements. Changing the size of the exterior bubble relative to it’s inside can also substantially reduce the energy (at least the negative energy), and changing the shape of the bubble itself can do so as well (or increase it in the case of altering the relative interior/exterior as the case may be). So can changing the speed of light, but I’m not sure how that would be accomplished on the boundary. It’s something to consider though.

Solutions to changing the shape of the bubble have accomplished substantial reductions in the required energy, as have solutions that change the size of the exterior relative to its interior (think the tent in Harry Potter). Interestingly, if such a bubble were to be made, the objects inside would appear smaller than they are (the light path is focused to the smaller bubble). I think this would cause some interesting visual effects upon a change in momentum (direction or speed) as the warp bubble boundary itself would be motivating the change, and would thus be changing shape slightly. That would be the case regardless of the relative sizes of the interior/exterior.

As far as I remember, the lowest energy requirements (using "negative matter") were on the order of 100kg (E=mc^2) to make a bubble sufficient to drive a reasonable size ship, though if I remember correctly that was for v>c (or maybe v=c), so probably a fair bit less if your relative delta v is only a couple thousand miles an hour. Still a lot though, and every change in momentum requires more energy. I haven’t really considered how that would interact with the atmosphere, though it should act just like any other physical object, which means drag, sonic booms, etc., thus more energy, though you can potentially change its shape and its size to reduce that interaction.

The energy requirements for the solutions I am aware of are pretty large, though there may be solutions that reduce it sufficiently, and/or it could be that GR is the wrong model to use in this scope, and movement through space however the hell you want is trivial if you understand gravity on a more fundamental level ( if it is really an E&M effect for example).