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Description
As the ACS spread to other nearby star systems ignored by fleeing Corporatists, the original flag became more representative of the entire polity than the Solar Commune itself. As a result, a new symbol was chosen for the Solar Commune itself after a referendum in Standard Terran Year 238 AR.

Flag:
Black background.
A red circle in the middle left, surrounded by a stylized Goldberg Polyhedron in gray.
A stylized satellite in white at the very right.

Symbolism:
The black and red colors symbolize the Libertarian Socialist values of the ACS.
The red circle represents Sol itself, while the black background represents the void of space.
The Goldberg Polyhedron in gray represents the SHADE Array, already under construction at the time the referendum was held.
The stylized satellite is ACS symbolism.

Resurrecting the dead in a meaningfully short time period:

While a universal time reversal quantum algorithm was known before the Interplanetary Age, it had an unacceptably large time complexity, falling into EXP^2 time, or EXP time in the best case scenario where the total quantum state of the soon to be reversed system was known. (1) In the case of reversing the quantum state of the entire Earth, this would result in taking (V^1.3E50) to (V^((1.3E50)x2) iterations, where V is the degrees of freedom for each particle in the system. Better algorithms were devised with the aid of specialized weak AI, but they either had unacceptably large margins of error or would still take longer than the lifetime of the universe. Initial forays into advanced metric engineering were often motivated by attempts to solve this time constraint through the creation of accessible, recursive pocket universes. While initial attempts were not successful (other than the trivial example of black holes, which return information as they evaporate but in a form that's pointlessly hard to decode), they led to the creation of completely internalized metric ships, thus allowing the Light Barrier to be surpassed. (2)

Quantum computing, which can overcome Bremermann's limit under certain circumstances, took more time from the best algorithm. (3)
CTC computing on a quantum scale also helped (4), but the real solution was made possible due to the discovery of parallel timelines.

Due to the specifics of metric travel and wormholes, Closed Timelike Curves are trivial to implement. When a metric ship would cause a paradox, it would instead vanish, which was thought to be an example of the Chronological Protection Conjecture until comm wormholes entered widespread use, at which point it was discovered that the vanishing ships entered a branching timeline. Communication with alternate timelines was an incredible gamechanger. Almost identical versions of the SHADE Array could pool computational resources. As a result, the SHADE project accomplished its goals in thousands of years rather than billions upon billions. The resulting information was shared among all versions, the Minds merged processes with their alternate counterparts, and the Resurrected were only instantiated once. As the timelines split after the beginning of the SHADE project, each version would have resurrected identical people with identical memories, making duplicates pointless. If the timelines split before the beginning, each timeline would have to instantiate its own version of every Resurrected who died after the point of divergence.

In the end the SHADE Array occupied one star, but was distributed among an uncountable number of timelines, technically counting as a small but highly verticalized type V civilization on the Extended Kardashev Scale. Sol was nicknamed “The Big Cheese” due to the complex topology of the surrounding spacetime(s). This compact and efficient way of creating arbitrary computational power provides one possible solution to the Fermi paradox.
The current state of the SHADE array is unknown- the last official communication from Sol was a simple statement that the Solar Commune had outgrown our local spacetime, that they had found likeminded people, and that they would maintain periodic contact in the name of the Multiversale.

(1) phys.org/news/2020-08-time-rev…
(2) Earlier metric drives required parts of the vessel to remain outside the bubble as negative mass infrastructure, which kept the ships from breaking the Light Barrier due to relativistic effects. The relativistic Neumanns hijacked by fleeing corporatists at the end of the Solar Revolution were of this type.
(3)ui.adsabs.harvard.edu/abs/2018…
(4) In a universe where time travel results in branching timelines, how do we justify the existence of CTC computing, which relies on a self consistent timeline? Simple: the universe enforces self-consistency on the quantum scale, but on the classical scale the butterfly effect kicks in.
phys.org/news/2020-07-simulati…

[Warning: this article has not been updated in 1023 Standard Terran Years.]

About culture in the ACS:

ACS culture is heavily divided. The Resurrected are (mostly) from time periods with nonmaterialist mindsets and would take extreme exception to their own nature, demanding to be deleted in order to go to the “real” version of whatever afterlife they believed in. It’s much easier for them to believe that their deity of choice follows a more tolerant moral code than they expected than it is for them to believe that the afterlife can only be achieved through sufficiently advanced technology. While keeping the vast majority of ACS citizens in the dark goes against the rules of a just, informed, and democratic society (5), it is necessary to give them a happy eternity. The appropriate Minds judged it necessary, and even the anarchist defers to the cobbler in matters of bootmaking. Certain religious subcultures are more open to the idea of technological resurrection than others: Former Jehovah’s Witnesses, having already believed that resurrection would be corporeal due to the soul’s nonexistence, have often adopted the view that the SHADE project is an aspect of God or the method by which God performed the Resurrection. Cosmists and other people whose beliefs synthesize science and religion are, of course, fine with the idea.

In general, religious Resurrected are content to believe that their simulated reality is real, while the Resurrected who interact with the physical world via Personal Presence Unit are engaging in an elaborate transhumanist roleplay. After all, they’re in Heaven. Why shouldn’t people be allowed to play immersive games like FALGSC?

Among the informed, culture is more variable. Artistic endeavors are popular, as is partitioning unused brainpower to help solve important problems in metric engineering or similar fields. (They don’t actually experience any of the work involved due to its almost incomprehensibly advanced nature, but it’s still satisfying to know that they’re helping to find a way to escape the end of the universe itself.) There are simulations of satisfying work to provide personal fulfillment. Work simulations that combine mental, athletic, and artistic endeavor are particularly sought after.

Entertainment and other less serious forms of personal fulfilment often involve roleplay, although more traditional forms of media still exist. One of the more popular large scale interactive roleplaying games (6) is Bond Gap, a simulation of an alternate past in which advanced alien civilizations interfere with human development to create unageing, unnaturally lucky people who are in demand as government agents. The reasoning behind this is never explained, and serves as a mere backdrop to a world where players get to be implausible superspies or forge their own criminal empire. Customizable starting times are available, from the 1930s CE to the chaos of the middle interplanetary period.

(5) “Democratic” is a misnomer, but still used out of tradition. In terms of political and personal freedom, an anarchist society is as far ahead of a representative democracy as a representative democracy is ahead of a “popular” oligarchy such as the Roman Republic or the United States of America circa the Second Business Plot.
(6) Actually, a family of games, each with different settings and premises but all structured around the same mixture of spycraft, daring do, and nefarious schemes. This proliferation of variants happens for any form of entertainment in a society where the idea of intellectual property is seen as obsolete.

Description
As the ACS spread to other nearby star systems ignored by fleeing Corporatists, the original flag became more representative of the entire polity than the Solar Commune itself. As a result, a new symbol was chosen for the Solar Commune itself after a referendum in Standard Terran Year 238 AR.

Flag:
Black background.
A red circle in the middle left, surrounded by a stylized Goldberg Polyhedron in gray.
A stylized satellite in white at the very right.

Symbolism:
The black and red colors symbolize the Libertarian Socialist values of the ACS.
The red circle represents Sol itself, while the black background represents the void of space.
The Goldberg Polyhedron in gray represents the SHADE Array, already under construction at the time the referendum was held.
The stylized satellite is ACS symbolism.

Resurrecting the dead in a meaningfully short time period:

While a universal time reversal quantum algorithm was known before the Interplanetary Age, it had an unacceptably large time complexity, falling into EXP^2 time, or EXP time in the best case scenario where the total quantum state of the soon to be reversed system was known. (1) In the case of reversing the quantum state of the entire Earth, this would result in taking (V^1.3E50) to (V^((1.3E50)x2) iterations, where V is the degrees of freedom for each particle in the system. Better algorithms were devised with the aid of specialized weak AI, but they either had unacceptably large margins of error or would still take longer than the lifetime of the universe. Initial forays into advanced metric engineering were often motivated by attempts to solve this time constraint through the creation of accessible, recursive pocket universes. While initial attempts were not successful (other than the trivial example of black holes, which return information as they evaporate but in a form that's pointlessly hard to decode), they led to the creation of completely internalized metric ships, thus allowing the Light Barrier to be surpassed. (2)

Quantum computing, which can overcome Bremermann's limit under certain circumstances, took more time from the best algorithm. (3)
CTC computing on a quantum scale also helped (4), but the real solution was made possible due to the discovery of parallel timelines.

Due to the specifics of metric travel and wormholes, Closed Timelike Curves are trivial to implement. When a metric ship would cause a paradox, it would instead vanish, which was thought to be an example of the Chronological Protection Conjecture until comm wormholes entered widespread use, at which point it was discovered that the vanishing ships entered a branching timeline. Communication with alternate timelines was an incredible gamechanger. Almost identical versions of the SHADE Array could pool computational resources. As a result, the SHADE project accomplished its goals in thousands of years rather than billions upon billions. The resulting information was shared among all versions, the Minds merged processes with their alternate counterparts, and the Resurrected were only instantiated once. As the timelines split after the beginning of the SHADE project, each version would have resurrected identical people with identical memories, making duplicates pointless. If the timelines split before the beginning, each timeline would have to instantiate its own version of every Resurrected who died after the point of divergence.

In the end the SHADE Array occupied one star, but was distributed among an uncountable number of timelines, technically counting as a small but highly verticalized type V civilization on the Extended Kardashev Scale. Sol was nicknamed “The Big Cheese” due to the complex topology of the surrounding spacetime(s). This compact and efficient way of creating arbitrary computational power provides one possible solution to the Fermi paradox.
The current state of the SHADE array is unknown- the last official communication from Sol was a simple statement that the Solar Commune had outgrown our local spacetime, that they had found likeminded people, and that they would maintain periodic contact in the name of the Multiversale.

(1) phys.org/news/2020-08-time-rev…
(2) Earlier metric drives required parts of the vessel to remain outside the bubble as negative mass infrastructure, which kept the ships from breaking the Light Barrier due to relativistic effects. The relativistic Neumanns hijacked by fleeing corporatists at the end of the Solar Revolution were of this type.
(3)ui.adsabs.harvard.edu/abs/2018…
(4) In a universe where time travel results in branching timelines, how do we justify the existence of CTC computing, which relies on a self consistent timeline? Simple: the universe enforces self-consistency on the quantum scale, but on the classical scale the butterfly effect kicks in.
phys.org/news/2020-07-simulati…

[Warning: this article has not been updated in 1023 Standard Terran Years.]

About culture in the ACS:

ACS culture is heavily divided. The Resurrected are (mostly) from time periods with nonmaterialist mindsets and would take extreme exception to their own nature, demanding to be deleted in order to go to the “real” version of whatever afterlife they believed in. It’s much easier for them to believe that their deity of choice follows a more tolerant moral code than they expected than it is for them to believe that the afterlife can only be achieved through sufficiently advanced technology. While keeping the vast majority of ACS citizens in the dark goes against the rules of a just, informed, and democratic society (5), it is necessary to give them a happy eternity. The appropriate Minds judged it necessary, and even the anarchist defers to the cobbler in matters of bootmaking. Certain religious subcultures are more open to the idea of technological resurrection than others: Former Jehovah’s Witnesses, having already believed that resurrection would be corporeal due to the soul’s nonexistence, have often adopted the view that the SHADE project is an aspect of God or the method by which God performed the Resurrection. Cosmists and other people whose beliefs synthesize science and religion are, of course, fine with the idea.

In general, religious Resurrected are content to believe that their simulated reality is real, while the Resurrected who interact with the physical world via Personal Presence Unit are engaging in an elaborate transhumanist roleplay. After all, they’re in Heaven. Why shouldn’t people be allowed to play immersive games like FALGSC?

Among the informed, culture is more variable. Artistic endeavors are popular, as is partitioning unused brainpower to help solve important problems in metric engineering or similar fields. (They don’t actually experience any of the work involved due to its almost incomprehensibly advanced nature, but it’s still satisfying to know that they’re helping to find a way to escape the end of the universe itself.) There are simulations of satisfying work to provide personal fulfillment. Work simulations that combine mental, athletic, and artistic endeavor are particularly sought after.

Entertainment and other less serious forms of personal fulfilment often involve roleplay, although more traditional forms of media still exist. One of the more popular large scale interactive roleplaying games (6) is Bond Gap, a simulation of an alternate past in which advanced alien civilizations interfere with human development to create unageing, unnaturally lucky people who are in demand as government agents. The reasoning behind this is never explained, and serves as a mere backdrop to a world where players get to be implausible superspies or forge their own criminal empire. Customizable starting times are available, from the 1930s CE to the chaos of the middle interplanetary period.

(5) “Democratic” is a misnomer, but still used out of tradition. In terms of political and personal freedom, an anarchist society is as far ahead of a representative democracy as a representative democracy is ahead of a “popular” oligarchy such as the Roman Republic or the United States of America circa the Second Business Plot.
(6) Actually, a family of games, each with different settings and premises but all structured around the same mixture of spycraft, daring do, and nefarious schemes. This proliferation of variants happens for any form of entertainment in a society where the idea of intellectual property is seen as obsolete.