A Dyson sphere helps with moving matter around, potentially with elemental conversion, and with cooling.
Moving matter - sure. But that would be a temporary use case, after which you'd no longer need that config, and you'd want to rearrange it back into a bunch of spherical dense computing planetoids.
potentially with elemental conversion
This is dubious. I mean in theory you could reflect/recapture star energy to increase temperature to potentially generate metals faster, but it seems to be a huge waste of mass for a small increase in cooking rate. You'd be giving up all of your higher intelligence by not using that mass for small compact cold compute centers.
If nothing else, if the ambient energy of the star is a big problem, you can use it to redirect the energy elsewhere away from your cold brains.
Yes, but that's just equivalent to shielding. That only requires redirecting the tiny volume of energy hitting the planetary surfaces. It doesn't require any large structures.
Exponential growth.
Exponential growth = transcend. Exponential growth will end unless you can overcome the speed of light, which requires exotic options like new universe creation or altering physics.
I think Sandberg's calculated you can build a Dyson sphere in a century, apropos of KIC 8462852's oddly gradual dimming. And you hardly need to finish it before you get any benefits.
Got a link? I found this FAQ, where he says:
Using self-replicating machinery the asteroid belt and minor moons could be converted into habitats in a few years, while disassembly of larger planets would take 10-1000 times longer (depending on how much energy and violence was used).
That's a lognormal dist over several decades to several millenia. A dimming time for KIC 8462852 in the range of centuries to a millenia is a near perfect (lognormal) dist overlap.
So it may be worth while investing some energy in collecting small useful stuff (asteroids) into larger, denser computational bodies. It may even be worth while moving stuff farther from the star, but the specifics really depend on a complex set of unknowns.
You say 'may', but that seems really likely.
The recent advances in metamaterial shielding stuff suggest that low temps could be reached even on earth without expensive cooling, so the case I made for moving stuff away from the star for cooling is diminished.
Collecting/rearranging asteroids, and rearranging rare elements of course still remain as viable use cases, but they do not require as much energy, and those energy demands are transient.
After all, what 'complex set of unknowns' will be so fine-tuned that the answer will, for all civilizations, be 0 rather than some astronomically large number?
Physics. It's the same for all civilizations, and their tech paths are all the same. Our uncertainty over those tech paths does not translate into a diversity in actual tech paths.
You cannot show that this resolves the Fermi paradox unless you make a solid case that cold brains will find harnessing solar systems' energy and matter totally useless!
There is no 'paradox'. Just a large high-D space of possibilities, and observation updates that constrain that space.
I never ever claimed that cold brains will "find harnessing solar systems' energy and matter totally useless", but I think you know that. The key question is what are their best uses for the energy/mass of a system, and what configs maximize those use cases.
I showed that reversible computing implies extremely low energy/mass ratios for optimal compute configs. This suggests that advanced civs in the timeframe 100 to 1000 years ahead of us will be mass-limited (specifically rare metal element limited) rather than energy limited, and would rather convert excess energy into mass rather than the converse.
Which gets me back to a major point: endgames. For reasons I outlined earlier, I think the transcend scenarios more likely. They have a higher initial prior, and are far more compatible with our current observations.
In the transcend scenarios, exponential growth just continues up until some point in the near future where exotic space-time manipulations - creating new universes or whatever - are the only remaining options for continued exponential growth. This leads to an exit for the civ, where from the outside perspective it either physically dies, disappears, or transitions to some final inert config. Some of those outcomes would be observable, some not. Mapping out all of those outcomes in detail and updating on our observations would be exhausting - a fun exercise for another day.
The key variable here is the timeframe from our level to the final end-state. That timeframe determines the entire utility/futility tradeoff for exploitation of matter in the system, based on ROI curves.
For example, why didn't we start converting all of the useful matter of earth into babbage-style mechanical computers in the 19th century? Why didn't we start converting all of the matter into vaccuum tube computers in the 50's? And so on....
In an exponentially growing civ like ours, you always have limited resources, and investing those resources in replicating your current designs (building more citizens/compute/machines whatever) always has complex opportunity cost tradeoffs. You also are expending resources advancing your tech - the designs themselves - and as such you never expend all of your resources on replicating current designs, partly because they are constantly being replaced, and partly because of the opportunity costs between advancing tech/knowledge vs expanding physical infrastructure.
So civs tend to expand physically at some rate over time. The key question is how long? If transcension typically follows 1,000 years after our current tech level, then you don't get much interstellar colonization bar a few probes, but you possibly get temporary dyson swarms. If it only takes 100 years, then civs are unlikely to even leave their home planet.
You only get colonization outcomes if transcension takes long enough, leading to colonization of nearby matter, which all then transcend roughly within the timeframe of their distance from the origin. Most of the nearby useful matter appears to be rogue planets, so colonization of stellar systems would take even longer, depending on how far down it is in the value chain.
And even in the non-transcend models (say the time to transcend is greater than millions of years), you can still get scenarios where the visible stars are not colonized much - if their value is really low, compared to abundant higher value cold dark matter (rogue planets, etc), colonization is slow/expensive, and the timescale spread over civ ages is low.
Our sun appears to be a typical star: unremarkable in age, composition, galactic orbit, or even in its possession of many planets. Billions of other stars in the milky way have similar general parameters and orbits that place them in the galactic habitable zone. Extrapolations of recent expolanet surveys reveal that most stars have planets, removing yet another potential unique dimension for a great filter in the past.
According to Google, there are 20 billion earth like planets in the Galaxy.
A paradox indicates a flaw in our reasoning or our knowledge, which upon resolution, may cause some large update in our beliefs.
Ideally we could resolve this through massive multiscale monte carlo computer simulations to approximate Solonomoff Induction on our current observational data. If we survive and create superintelligence, we will probably do just that.
In the meantime, we are limited to constrained simulations, fermi estimates, and other shortcuts to approximate the ideal bayesian inference.
The Past
While there is still obvious uncertainty concerning the likelihood of the series of transitions along the path from the formation of an earth-like planet around a sol-like star up to an early tech civilization, the general direction of the recent evidence flow favours a strong Mediocrity Principle.
Here are a few highlight developments from the last few decades relating to an early filter:
The Future(s)
When modelling the future development of civilization, we must recognize that the future is a vast cloud of uncertainty compared to the past. The best approach is to focus on the most key general features of future postbiological civilizations, categorize the full space of models, and then update on our observations to determine what ranges of the parameter space are excluded and which regions remain open.
An abridged taxonomy of future civilization trajectories :
Collapse/Extinction:
Civilization is wiped out due to an existential catastrophe that sterilizes the planet sufficient enough to kill most large multicellular organisms, essentially resetting the evolutionary clock by a billion years. Given the potential dangers of nanotech/AI/nuclear weapons - and then aliens, I believe this possibility is significant - ie in the 1% to 50% range.
Biological/Mixed Civilization:
This is the old-skool sci-fi scenario. Humans or our biological descendants expand into space. AI is developed but limited to human intelligence, like CP30. No or limited uploading.
This leads eventually to slow colonization, terraforming, perhaps eventually dyson spheres etc.
This scenario is almost not worth mentioning: prior < 1%. Unfortunately SETI in current form is till predicated on a world model that assigns a high prior to these futures.
PostBiological Warm-tech AI Civilization:
This is Kurzweil/Moravec's sci-fi scenario. Humans become postbiological, merging with AI through uploading. We become a computational civilization that then spreads out some fraction of the speed of light to turn the galaxy into computronium. This particular scenario is based on the assumption that energy is a key constraint, and that civilizations are essentially stellavores which harvest the energy of stars.
One of the very few reasonable assumptions we can make about any superintelligent postbiological civilization is that higher intelligence involves increased computational efficiency. Advanced civs will upgrade into physical configurations that maximize computation capabilities given the local resources.
Thus to understand the physical form of future civs, we need to understand the physical limits of computation.
One key constraint is the Landauer Limit, which states that the erasure (or cloning) of one bit of information requires a minimum of kTln2 joules. At room temperature (293 K), this corresponds to a minimum of 0.017 eV to erase one bit. Minimum is however the keyword here, as according to the principle, the probability of the erasure succeeding is only 50% at the limit. Reliable erasure requires some multiple of the minimal expenditure - a reasonable estimate being about 100kT or 1eV as the minimum for bit erasures at today's levels of reliability.
Now, the second key consideration is that Landauer's Limit does not include the cost of interconnect, which is already now dominating the energy cost in modern computing. Just moving bits around dissipates energy.
Moore's Law is approaching its asymptotic end in a decade or so due to these hard physical energy constraints and the related miniaturization limits.
I assign a prior to the warm-tech scenario that is about the same as my estimate of the probability that the more advanced cold-tech (reversible quantum computing, described next) is impossible: < 10%.
From Warm-tech to Cold-tech
There is a way forward to vastly increased energy efficiency, but it requires reversible computing (to increase the ratio of computations per bit erasures), and full superconducting to reduce the interconnect loss down to near zero.
The path to enormously more powerful computational systems necessarily involves transitioning to very low temperatures, and the lower the better, for several key reasons:
Assuming large scale quantum computing is possible, then the ultimate computer is thus a reversible massively entangled quantum device operating at absolute zero. Unfortunately, such a device would be delicate to a degree that is hard to imagine - even a single misplaced high energy particle could cause enormous damage.
Stellar Escape Trajectories
The Great Game
If two civs both discover each other's locations around the same time, then MAD (mutually assured destruction) dynamics takeover and cooperation has stronger benefits. The vast distances involve suggest that one sided discoveries are more likely.
Spheres of Influence
Conditioning on our Observational Data
Observational Selection Effects
All advanced civs will have strong instrumental reasons to employ deep simulations to understand and model developmental trajectories for the galaxy as a whole and for civilizations in particular. A very likely consequence is the production of large numbers of simulated conscious observers, ala the Simulation Argument. Universes with the more advanced low temperature reversible/quantum computing civilizations will tend to produce many more simulated observer moments and are thus intrinsically more likely than one would otherwise expect - perhaps massively so.
Rogue Planets
Although the error range is still large, it appears that free floating planets outnumber planets bound to stars, and perhaps by a rather large margin.
Assuming the galaxy is colonized: It could be that rogue planets form naturally outside of stars and then are colonized. It could be they form around stars and then are ejected naturally (and colonized). Artificial ejection - even if true - may be a rare event. Or not. But at least a few of these options could potentially be differentiated with future observations - for example if we find an interesting discrepancy in the rogue planet distribution predicted by simulations (which obviously do not yet include aliens!) and actual observations.
Also: if rogue planets outnumber stars by a large margin, then it follows that rogue planet flybys are more common in proportion.
Conclusion
SETI to date allows us to exclude some regions of the parameter space for alien civs, but the regions excluded correspond to low prior probability models anyway, based on the postbiological perspective on the future of life. The most interesting regions of the parameter space probably involve advanced stealthy aliens in the form of small compact cold objects floating in the interstellar medium.
The upcoming WFIST telescope should shed more light on dark matter and enhance our microlensing detection abilities significantly. Sadly, it's planned launch date isn't until 2024. Space development is slow.