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Why do distances seem to matter in the Foundation world?


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24















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?










share|improve this question









New contributor




Alexei is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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    24















    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?










    share|improve this question









    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.























      24












      24








      24


      1






      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?










      share|improve this question









      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






      share|improve this question









      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.











      share|improve this question









      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.









      share|improve this question




      share|improve this question








      edited 4 hours ago









      Stormblessed

      3,05711245




      3,05711245






      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.









      asked 17 hours ago









      AlexeiAlexei

      22115




      22115




      New contributor




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      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.






      Alexei is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






















          3 Answers
          3






          active

          oldest

          votes


















          27














          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.






          share|improve this answer



















          • 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



















          16














          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.






          share|improve this answer































            5














            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.






            share|improve this answer


























            • 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












            Your Answer








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            3 Answers
            3






            active

            oldest

            votes








            3 Answers
            3






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            27














            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.






            share|improve this answer



















            • 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
















            27














            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.






            share|improve this answer



















            • 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














            27












            27








            27







            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.






            share|improve this answer













            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.







            share|improve this answer












            share|improve this answer



            share|improve this answer










            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














            • 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













            16














            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.






            share|improve this answer




























              16














              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.






              share|improve this answer


























                16












                16








                16







                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.






                share|improve this answer













                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.







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 10 hours ago









                JdeBPJdeBP

                4,0341627




                4,0341627























                    5














                    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.






                    share|improve this answer


























                    • 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
















                    5














                    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.






                    share|improve this answer


























                    • 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














                    5












                    5








                    5







                    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.






                    share|improve this answer















                    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.







                    share|improve this answer














                    share|improve this answer



                    share|improve this answer








                    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



















                    • 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










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