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Why do distances seem to matter in the Foundation world?
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I am reading Asimov's Foundation series again and on multiple occasions the Empire's decay is mentioned and that it is starting from the most distant systems (in the Outer Worlds).
Looking in current today's world, distance is paramount to maintain control because it takes quite some time to deploy troops and equipment. However Foundation's world has the jump drive (faster-than-light travelling) so travelling very long distances should not be an issue or am I missing something?
Theoretically, distance should not matter unless jumps are somehow limited distance-wise.
Question: Why do distances seem to matter in the Foundation world?
foundation
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I am reading Asimov's Foundation series again and on multiple occasions the Empire's decay is mentioned and that it is starting from the most distant systems (in the Outer Worlds).
Looking in current today's world, distance is paramount to maintain control because it takes quite some time to deploy troops and equipment. However Foundation's world has the jump drive (faster-than-light travelling) so travelling very long distances should not be an issue or am I missing something?
Theoretically, distance should not matter unless jumps are somehow limited distance-wise.
Question: Why do distances seem to matter in the Foundation world?
foundation
New contributor
Alexei is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
I am reading Asimov's Foundation series again and on multiple occasions the Empire's decay is mentioned and that it is starting from the most distant systems (in the Outer Worlds).
Looking in current today's world, distance is paramount to maintain control because it takes quite some time to deploy troops and equipment. However Foundation's world has the jump drive (faster-than-light travelling) so travelling very long distances should not be an issue or am I missing something?
Theoretically, distance should not matter unless jumps are somehow limited distance-wise.
Question: Why do distances seem to matter in the Foundation world?
foundation
New contributor
Alexei is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I am reading Asimov's Foundation series again and on multiple occasions the Empire's decay is mentioned and that it is starting from the most distant systems (in the Outer Worlds).
Looking in current today's world, distance is paramount to maintain control because it takes quite some time to deploy troops and equipment. However Foundation's world has the jump drive (faster-than-light travelling) so travelling very long distances should not be an issue or am I missing something?
Theoretically, distance should not matter unless jumps are somehow limited distance-wise.
Question: Why do distances seem to matter in the Foundation world?
foundation
foundation
New contributor
Alexei is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Alexei is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 4 hours ago
Stormblessed
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3,05711245
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asked 17 hours ago
AlexeiAlexei
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22115
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3 Answers
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When describing Trevize's ship capabilities and performance in "Foundation's Edge", he is awestruck at the way the ship can chain jumps with computation time close to zero and deviation from target coordinates also nelligible, thus pointing to should-be normal, expected behaviour of a ship in-universe.
- End point of the Jump needs to be accurately calculated in advance. Upon emergence in normal space, actual end point of emergence needs to be validated in the assumption a significant deviation from expected point has happened. This is easy but not instantaneous.
- The longer the Jump, the bigger the deviation. I don't remember energy constraints been part of a Jump concerns, but implication is strong if you try to single Jump from Trantor to Terminus you might well end up half-way to Andromeda (exagerated for laughs).
- The actual point in space where the ship is after the Jump needs to be used as input to re-calculate again the next jump in the series. I kind of rmember this was expected to be easy, but in the hours range.
So in short, a hyperspace trip is a pre-calculated set of jumps which tries to reach a perfect compromise between distance in each jump and minimizing emergence errors, but after each of the jumps the remaining jumps need to be recalculated again with actual coordinates.
10
It is mentioned several times that trips can take weeks if not months to complete.
– JRE
16 hours ago
9
History repeats itself: the Empire in this regard resembles the Roman Empire in that troops can take weeks or months to traverse it, hence it's non-trivial to secure the borders.
– Rebel-Scum
15 hours ago
24
@Rebel-Scum that resemblance was not an accident.
– Daniel Roseman
14 hours ago
6
@DanielRoseman Indeed, if I remember well Asimov stated at some moment one of the main sources of inspiration for the original trilogy was Gibbon's "The History of the Decline and Fall of the Roman Empire"
– Seretba
12 hours ago
4
If I recall it correctly, gravity wells makes jumps more complicated, so it is necessary to travel for several hours/days to make distance from planets and stars before the first jump.
– Pablo Lozano
11 hours ago
|
show 2 more comments
Jumps indeed are limited in distance. Near Trantor, they are extremely limited.
The stars were as thick as weeds in an unkempt field, and for the first time, Lathan Devers found the figures to the right of the decimal point of prime importance in calculating the cuts through the hyper-regions. There was a claustrophobic sensation about the necessity for leaps of not more than a light-year.— Foundation and Empire
The first part of any journey out from Trantor to the outer star systems, and the last part of any return journey, involves passing the Galactic Core region, where hyperspace travel is slow. It's slow because it involves lots of short jumps, and because, until the invention of the Lens as described in Second Foundation, each of those jumps involves a lot of lengthy work.
It was because of that, that the Lens had performed a near-revolution in interstellar travel. In the younger days of interstellar travel, the calculation of each Jump through hyperspace meant any amount of work from a day to a week — and the larger portion of such work was the more or less precise calculation of "Ship's Position" on the Galactic scale of reference.— Second Foundation
Advances like this happen over the course of the series. You will for example find, as a plot point, an advance in hyperspace jumping that enabled one military force to defeat another in battle. The changes in technology as the Empire falls and through the Interregnum, and an Empire where the capital world is physically remote from and difficult to reach from the periphery, are some of the plot drivers in Asimov's famous "human-only Galactic Empire" setting.
So the answer is: because constructing the setting that way drives the plot.
Further reading
- Daniel R. Collins (2013-06-22). SciFi Saturday — Asimov on Hyperspace, Pt. 1. Delta's D&D.
- Daniel R. Collins (2013-06-29). SciFi Saturday — Asimov on Hyperspace, Pt. 2. Delta's D&D.
- Daniel R. Collins (2013-07-13). SciFi Saturday — Asimov on Hyperspace, Pt. 3. Delta's D&D.
- Daniel R. Collins (2013-07-20). SciFi Saturday — Asimov on Hyperspace, Pt. 4. Delta's D&D.
add a comment |
I'd like to add to the excellent answers by @Seretba and @JdeBP that you have to consider not only the time that it takes to reach the Empire's Edge but also the area that the Empire has to cover to maintain control over the territories.
From a mathematical point of view, if you model the Empire's territories as a circle with Trantor as its center, you can see that increasing the distance to the farthest point (the radius' length) dramatically increases the area that you need to maintain control over.
So, it makes sense for an Empire in decay to shrink its size to better control a smaller territory with the same resources. This is compounded by the fact that travel is not instantaneous, which means that the assets near Trantor are more valuable than those far away, so more resources are poured into controlling them.
Consider the volume rather than the area. Cubed instead of squared. Much worse.
– JRE
5 hours ago
@JRE, for all practical purposes, the Milky Way is a two-dimensional object, not a three-dimensional one. There's not much above or below the galactic plane that's worth going to.
– Mark
1 hour ago
add a comment |
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3 Answers
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3 Answers
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When describing Trevize's ship capabilities and performance in "Foundation's Edge", he is awestruck at the way the ship can chain jumps with computation time close to zero and deviation from target coordinates also nelligible, thus pointing to should-be normal, expected behaviour of a ship in-universe.
- End point of the Jump needs to be accurately calculated in advance. Upon emergence in normal space, actual end point of emergence needs to be validated in the assumption a significant deviation from expected point has happened. This is easy but not instantaneous.
- The longer the Jump, the bigger the deviation. I don't remember energy constraints been part of a Jump concerns, but implication is strong if you try to single Jump from Trantor to Terminus you might well end up half-way to Andromeda (exagerated for laughs).
- The actual point in space where the ship is after the Jump needs to be used as input to re-calculate again the next jump in the series. I kind of rmember this was expected to be easy, but in the hours range.
So in short, a hyperspace trip is a pre-calculated set of jumps which tries to reach a perfect compromise between distance in each jump and minimizing emergence errors, but after each of the jumps the remaining jumps need to be recalculated again with actual coordinates.
10
It is mentioned several times that trips can take weeks if not months to complete.
– JRE
16 hours ago
9
History repeats itself: the Empire in this regard resembles the Roman Empire in that troops can take weeks or months to traverse it, hence it's non-trivial to secure the borders.
– Rebel-Scum
15 hours ago
24
@Rebel-Scum that resemblance was not an accident.
– Daniel Roseman
14 hours ago
6
@DanielRoseman Indeed, if I remember well Asimov stated at some moment one of the main sources of inspiration for the original trilogy was Gibbon's "The History of the Decline and Fall of the Roman Empire"
– Seretba
12 hours ago
4
If I recall it correctly, gravity wells makes jumps more complicated, so it is necessary to travel for several hours/days to make distance from planets and stars before the first jump.
– Pablo Lozano
11 hours ago
|
show 2 more comments
When describing Trevize's ship capabilities and performance in "Foundation's Edge", he is awestruck at the way the ship can chain jumps with computation time close to zero and deviation from target coordinates also nelligible, thus pointing to should-be normal, expected behaviour of a ship in-universe.
- End point of the Jump needs to be accurately calculated in advance. Upon emergence in normal space, actual end point of emergence needs to be validated in the assumption a significant deviation from expected point has happened. This is easy but not instantaneous.
- The longer the Jump, the bigger the deviation. I don't remember energy constraints been part of a Jump concerns, but implication is strong if you try to single Jump from Trantor to Terminus you might well end up half-way to Andromeda (exagerated for laughs).
- The actual point in space where the ship is after the Jump needs to be used as input to re-calculate again the next jump in the series. I kind of rmember this was expected to be easy, but in the hours range.
So in short, a hyperspace trip is a pre-calculated set of jumps which tries to reach a perfect compromise between distance in each jump and minimizing emergence errors, but after each of the jumps the remaining jumps need to be recalculated again with actual coordinates.
10
It is mentioned several times that trips can take weeks if not months to complete.
– JRE
16 hours ago
9
History repeats itself: the Empire in this regard resembles the Roman Empire in that troops can take weeks or months to traverse it, hence it's non-trivial to secure the borders.
– Rebel-Scum
15 hours ago
24
@Rebel-Scum that resemblance was not an accident.
– Daniel Roseman
14 hours ago
6
@DanielRoseman Indeed, if I remember well Asimov stated at some moment one of the main sources of inspiration for the original trilogy was Gibbon's "The History of the Decline and Fall of the Roman Empire"
– Seretba
12 hours ago
4
If I recall it correctly, gravity wells makes jumps more complicated, so it is necessary to travel for several hours/days to make distance from planets and stars before the first jump.
– Pablo Lozano
11 hours ago
|
show 2 more comments
When describing Trevize's ship capabilities and performance in "Foundation's Edge", he is awestruck at the way the ship can chain jumps with computation time close to zero and deviation from target coordinates also nelligible, thus pointing to should-be normal, expected behaviour of a ship in-universe.
- End point of the Jump needs to be accurately calculated in advance. Upon emergence in normal space, actual end point of emergence needs to be validated in the assumption a significant deviation from expected point has happened. This is easy but not instantaneous.
- The longer the Jump, the bigger the deviation. I don't remember energy constraints been part of a Jump concerns, but implication is strong if you try to single Jump from Trantor to Terminus you might well end up half-way to Andromeda (exagerated for laughs).
- The actual point in space where the ship is after the Jump needs to be used as input to re-calculate again the next jump in the series. I kind of rmember this was expected to be easy, but in the hours range.
So in short, a hyperspace trip is a pre-calculated set of jumps which tries to reach a perfect compromise between distance in each jump and minimizing emergence errors, but after each of the jumps the remaining jumps need to be recalculated again with actual coordinates.
When describing Trevize's ship capabilities and performance in "Foundation's Edge", he is awestruck at the way the ship can chain jumps with computation time close to zero and deviation from target coordinates also nelligible, thus pointing to should-be normal, expected behaviour of a ship in-universe.
- End point of the Jump needs to be accurately calculated in advance. Upon emergence in normal space, actual end point of emergence needs to be validated in the assumption a significant deviation from expected point has happened. This is easy but not instantaneous.
- The longer the Jump, the bigger the deviation. I don't remember energy constraints been part of a Jump concerns, but implication is strong if you try to single Jump from Trantor to Terminus you might well end up half-way to Andromeda (exagerated for laughs).
- The actual point in space where the ship is after the Jump needs to be used as input to re-calculate again the next jump in the series. I kind of rmember this was expected to be easy, but in the hours range.
So in short, a hyperspace trip is a pre-calculated set of jumps which tries to reach a perfect compromise between distance in each jump and minimizing emergence errors, but after each of the jumps the remaining jumps need to be recalculated again with actual coordinates.
answered 16 hours ago
SeretbaSeretba
50115
50115
10
It is mentioned several times that trips can take weeks if not months to complete.
– JRE
16 hours ago
9
History repeats itself: the Empire in this regard resembles the Roman Empire in that troops can take weeks or months to traverse it, hence it's non-trivial to secure the borders.
– Rebel-Scum
15 hours ago
24
@Rebel-Scum that resemblance was not an accident.
– Daniel Roseman
14 hours ago
6
@DanielRoseman Indeed, if I remember well Asimov stated at some moment one of the main sources of inspiration for the original trilogy was Gibbon's "The History of the Decline and Fall of the Roman Empire"
– Seretba
12 hours ago
4
If I recall it correctly, gravity wells makes jumps more complicated, so it is necessary to travel for several hours/days to make distance from planets and stars before the first jump.
– Pablo Lozano
11 hours ago
|
show 2 more comments
10
It is mentioned several times that trips can take weeks if not months to complete.
– JRE
16 hours ago
9
History repeats itself: the Empire in this regard resembles the Roman Empire in that troops can take weeks or months to traverse it, hence it's non-trivial to secure the borders.
– Rebel-Scum
15 hours ago
24
@Rebel-Scum that resemblance was not an accident.
– Daniel Roseman
14 hours ago
6
@DanielRoseman Indeed, if I remember well Asimov stated at some moment one of the main sources of inspiration for the original trilogy was Gibbon's "The History of the Decline and Fall of the Roman Empire"
– Seretba
12 hours ago
4
If I recall it correctly, gravity wells makes jumps more complicated, so it is necessary to travel for several hours/days to make distance from planets and stars before the first jump.
– Pablo Lozano
11 hours ago
10
10
It is mentioned several times that trips can take weeks if not months to complete.
– JRE
16 hours ago
It is mentioned several times that trips can take weeks if not months to complete.
– JRE
16 hours ago
9
9
History repeats itself: the Empire in this regard resembles the Roman Empire in that troops can take weeks or months to traverse it, hence it's non-trivial to secure the borders.
– Rebel-Scum
15 hours ago
History repeats itself: the Empire in this regard resembles the Roman Empire in that troops can take weeks or months to traverse it, hence it's non-trivial to secure the borders.
– Rebel-Scum
15 hours ago
24
24
@Rebel-Scum that resemblance was not an accident.
– Daniel Roseman
14 hours ago
@Rebel-Scum that resemblance was not an accident.
– Daniel Roseman
14 hours ago
6
6
@DanielRoseman Indeed, if I remember well Asimov stated at some moment one of the main sources of inspiration for the original trilogy was Gibbon's "The History of the Decline and Fall of the Roman Empire"
– Seretba
12 hours ago
@DanielRoseman Indeed, if I remember well Asimov stated at some moment one of the main sources of inspiration for the original trilogy was Gibbon's "The History of the Decline and Fall of the Roman Empire"
– Seretba
12 hours ago
4
4
If I recall it correctly, gravity wells makes jumps more complicated, so it is necessary to travel for several hours/days to make distance from planets and stars before the first jump.
– Pablo Lozano
11 hours ago
If I recall it correctly, gravity wells makes jumps more complicated, so it is necessary to travel for several hours/days to make distance from planets and stars before the first jump.
– Pablo Lozano
11 hours ago
|
show 2 more comments
Jumps indeed are limited in distance. Near Trantor, they are extremely limited.
The stars were as thick as weeds in an unkempt field, and for the first time, Lathan Devers found the figures to the right of the decimal point of prime importance in calculating the cuts through the hyper-regions. There was a claustrophobic sensation about the necessity for leaps of not more than a light-year.— Foundation and Empire
The first part of any journey out from Trantor to the outer star systems, and the last part of any return journey, involves passing the Galactic Core region, where hyperspace travel is slow. It's slow because it involves lots of short jumps, and because, until the invention of the Lens as described in Second Foundation, each of those jumps involves a lot of lengthy work.
It was because of that, that the Lens had performed a near-revolution in interstellar travel. In the younger days of interstellar travel, the calculation of each Jump through hyperspace meant any amount of work from a day to a week — and the larger portion of such work was the more or less precise calculation of "Ship's Position" on the Galactic scale of reference.— Second Foundation
Advances like this happen over the course of the series. You will for example find, as a plot point, an advance in hyperspace jumping that enabled one military force to defeat another in battle. The changes in technology as the Empire falls and through the Interregnum, and an Empire where the capital world is physically remote from and difficult to reach from the periphery, are some of the plot drivers in Asimov's famous "human-only Galactic Empire" setting.
So the answer is: because constructing the setting that way drives the plot.
Further reading
- Daniel R. Collins (2013-06-22). SciFi Saturday — Asimov on Hyperspace, Pt. 1. Delta's D&D.
- Daniel R. Collins (2013-06-29). SciFi Saturday — Asimov on Hyperspace, Pt. 2. Delta's D&D.
- Daniel R. Collins (2013-07-13). SciFi Saturday — Asimov on Hyperspace, Pt. 3. Delta's D&D.
- Daniel R. Collins (2013-07-20). SciFi Saturday — Asimov on Hyperspace, Pt. 4. Delta's D&D.
add a comment |
Jumps indeed are limited in distance. Near Trantor, they are extremely limited.
The stars were as thick as weeds in an unkempt field, and for the first time, Lathan Devers found the figures to the right of the decimal point of prime importance in calculating the cuts through the hyper-regions. There was a claustrophobic sensation about the necessity for leaps of not more than a light-year.— Foundation and Empire
The first part of any journey out from Trantor to the outer star systems, and the last part of any return journey, involves passing the Galactic Core region, where hyperspace travel is slow. It's slow because it involves lots of short jumps, and because, until the invention of the Lens as described in Second Foundation, each of those jumps involves a lot of lengthy work.
It was because of that, that the Lens had performed a near-revolution in interstellar travel. In the younger days of interstellar travel, the calculation of each Jump through hyperspace meant any amount of work from a day to a week — and the larger portion of such work was the more or less precise calculation of "Ship's Position" on the Galactic scale of reference.— Second Foundation
Advances like this happen over the course of the series. You will for example find, as a plot point, an advance in hyperspace jumping that enabled one military force to defeat another in battle. The changes in technology as the Empire falls and through the Interregnum, and an Empire where the capital world is physically remote from and difficult to reach from the periphery, are some of the plot drivers in Asimov's famous "human-only Galactic Empire" setting.
So the answer is: because constructing the setting that way drives the plot.
Further reading
- Daniel R. Collins (2013-06-22). SciFi Saturday — Asimov on Hyperspace, Pt. 1. Delta's D&D.
- Daniel R. Collins (2013-06-29). SciFi Saturday — Asimov on Hyperspace, Pt. 2. Delta's D&D.
- Daniel R. Collins (2013-07-13). SciFi Saturday — Asimov on Hyperspace, Pt. 3. Delta's D&D.
- Daniel R. Collins (2013-07-20). SciFi Saturday — Asimov on Hyperspace, Pt. 4. Delta's D&D.
add a comment |
Jumps indeed are limited in distance. Near Trantor, they are extremely limited.
The stars were as thick as weeds in an unkempt field, and for the first time, Lathan Devers found the figures to the right of the decimal point of prime importance in calculating the cuts through the hyper-regions. There was a claustrophobic sensation about the necessity for leaps of not more than a light-year.— Foundation and Empire
The first part of any journey out from Trantor to the outer star systems, and the last part of any return journey, involves passing the Galactic Core region, where hyperspace travel is slow. It's slow because it involves lots of short jumps, and because, until the invention of the Lens as described in Second Foundation, each of those jumps involves a lot of lengthy work.
It was because of that, that the Lens had performed a near-revolution in interstellar travel. In the younger days of interstellar travel, the calculation of each Jump through hyperspace meant any amount of work from a day to a week — and the larger portion of such work was the more or less precise calculation of "Ship's Position" on the Galactic scale of reference.— Second Foundation
Advances like this happen over the course of the series. You will for example find, as a plot point, an advance in hyperspace jumping that enabled one military force to defeat another in battle. The changes in technology as the Empire falls and through the Interregnum, and an Empire where the capital world is physically remote from and difficult to reach from the periphery, are some of the plot drivers in Asimov's famous "human-only Galactic Empire" setting.
So the answer is: because constructing the setting that way drives the plot.
Further reading
- Daniel R. Collins (2013-06-22). SciFi Saturday — Asimov on Hyperspace, Pt. 1. Delta's D&D.
- Daniel R. Collins (2013-06-29). SciFi Saturday — Asimov on Hyperspace, Pt. 2. Delta's D&D.
- Daniel R. Collins (2013-07-13). SciFi Saturday — Asimov on Hyperspace, Pt. 3. Delta's D&D.
- Daniel R. Collins (2013-07-20). SciFi Saturday — Asimov on Hyperspace, Pt. 4. Delta's D&D.
Jumps indeed are limited in distance. Near Trantor, they are extremely limited.
The stars were as thick as weeds in an unkempt field, and for the first time, Lathan Devers found the figures to the right of the decimal point of prime importance in calculating the cuts through the hyper-regions. There was a claustrophobic sensation about the necessity for leaps of not more than a light-year.— Foundation and Empire
The first part of any journey out from Trantor to the outer star systems, and the last part of any return journey, involves passing the Galactic Core region, where hyperspace travel is slow. It's slow because it involves lots of short jumps, and because, until the invention of the Lens as described in Second Foundation, each of those jumps involves a lot of lengthy work.
It was because of that, that the Lens had performed a near-revolution in interstellar travel. In the younger days of interstellar travel, the calculation of each Jump through hyperspace meant any amount of work from a day to a week — and the larger portion of such work was the more or less precise calculation of "Ship's Position" on the Galactic scale of reference.— Second Foundation
Advances like this happen over the course of the series. You will for example find, as a plot point, an advance in hyperspace jumping that enabled one military force to defeat another in battle. The changes in technology as the Empire falls and through the Interregnum, and an Empire where the capital world is physically remote from and difficult to reach from the periphery, are some of the plot drivers in Asimov's famous "human-only Galactic Empire" setting.
So the answer is: because constructing the setting that way drives the plot.
Further reading
- Daniel R. Collins (2013-06-22). SciFi Saturday — Asimov on Hyperspace, Pt. 1. Delta's D&D.
- Daniel R. Collins (2013-06-29). SciFi Saturday — Asimov on Hyperspace, Pt. 2. Delta's D&D.
- Daniel R. Collins (2013-07-13). SciFi Saturday — Asimov on Hyperspace, Pt. 3. Delta's D&D.
- Daniel R. Collins (2013-07-20). SciFi Saturday — Asimov on Hyperspace, Pt. 4. Delta's D&D.
answered 10 hours ago
JdeBPJdeBP
4,0341627
4,0341627
add a comment |
add a comment |
I'd like to add to the excellent answers by @Seretba and @JdeBP that you have to consider not only the time that it takes to reach the Empire's Edge but also the area that the Empire has to cover to maintain control over the territories.
From a mathematical point of view, if you model the Empire's territories as a circle with Trantor as its center, you can see that increasing the distance to the farthest point (the radius' length) dramatically increases the area that you need to maintain control over.
So, it makes sense for an Empire in decay to shrink its size to better control a smaller territory with the same resources. This is compounded by the fact that travel is not instantaneous, which means that the assets near Trantor are more valuable than those far away, so more resources are poured into controlling them.
Consider the volume rather than the area. Cubed instead of squared. Much worse.
– JRE
5 hours ago
@JRE, for all practical purposes, the Milky Way is a two-dimensional object, not a three-dimensional one. There's not much above or below the galactic plane that's worth going to.
– Mark
1 hour ago
add a comment |
I'd like to add to the excellent answers by @Seretba and @JdeBP that you have to consider not only the time that it takes to reach the Empire's Edge but also the area that the Empire has to cover to maintain control over the territories.
From a mathematical point of view, if you model the Empire's territories as a circle with Trantor as its center, you can see that increasing the distance to the farthest point (the radius' length) dramatically increases the area that you need to maintain control over.
So, it makes sense for an Empire in decay to shrink its size to better control a smaller territory with the same resources. This is compounded by the fact that travel is not instantaneous, which means that the assets near Trantor are more valuable than those far away, so more resources are poured into controlling them.
Consider the volume rather than the area. Cubed instead of squared. Much worse.
– JRE
5 hours ago
@JRE, for all practical purposes, the Milky Way is a two-dimensional object, not a three-dimensional one. There's not much above or below the galactic plane that's worth going to.
– Mark
1 hour ago
add a comment |
I'd like to add to the excellent answers by @Seretba and @JdeBP that you have to consider not only the time that it takes to reach the Empire's Edge but also the area that the Empire has to cover to maintain control over the territories.
From a mathematical point of view, if you model the Empire's territories as a circle with Trantor as its center, you can see that increasing the distance to the farthest point (the radius' length) dramatically increases the area that you need to maintain control over.
So, it makes sense for an Empire in decay to shrink its size to better control a smaller territory with the same resources. This is compounded by the fact that travel is not instantaneous, which means that the assets near Trantor are more valuable than those far away, so more resources are poured into controlling them.
I'd like to add to the excellent answers by @Seretba and @JdeBP that you have to consider not only the time that it takes to reach the Empire's Edge but also the area that the Empire has to cover to maintain control over the territories.
From a mathematical point of view, if you model the Empire's territories as a circle with Trantor as its center, you can see that increasing the distance to the farthest point (the radius' length) dramatically increases the area that you need to maintain control over.
So, it makes sense for an Empire in decay to shrink its size to better control a smaller territory with the same resources. This is compounded by the fact that travel is not instantaneous, which means that the assets near Trantor are more valuable than those far away, so more resources are poured into controlling them.
edited 5 hours ago
answered 8 hours ago
DanteDante
1687
1687
Consider the volume rather than the area. Cubed instead of squared. Much worse.
– JRE
5 hours ago
@JRE, for all practical purposes, the Milky Way is a two-dimensional object, not a three-dimensional one. There's not much above or below the galactic plane that's worth going to.
– Mark
1 hour ago
add a comment |
Consider the volume rather than the area. Cubed instead of squared. Much worse.
– JRE
5 hours ago
@JRE, for all practical purposes, the Milky Way is a two-dimensional object, not a three-dimensional one. There's not much above or below the galactic plane that's worth going to.
– Mark
1 hour ago
Consider the volume rather than the area. Cubed instead of squared. Much worse.
– JRE
5 hours ago
Consider the volume rather than the area. Cubed instead of squared. Much worse.
– JRE
5 hours ago
@JRE, for all practical purposes, the Milky Way is a two-dimensional object, not a three-dimensional one. There's not much above or below the galactic plane that's worth going to.
– Mark
1 hour ago
@JRE, for all practical purposes, the Milky Way is a two-dimensional object, not a three-dimensional one. There's not much above or below the galactic plane that's worth going to.
– Mark
1 hour ago
add a comment |
Alexei is a new contributor. Be nice, and check out our Code of Conduct.
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