First, let me try to summarize your position formally. Please let me know if I'm misrepresenting anything. We seem to be talking past each other on a couple subtopics, and I thought this might help clear things up.
1 p(type III civilization in milky way) ≈ 1
1.1 p(reversible computing | type III civilization in milky way) ≈ .9
1.1.1 p(¬energy or mass limited | reversible computing) ≈ 1
1.1.1.1 p(interstellar space | ¬ energy or mass limited) is large
1.1.1.2 p(intergalactic space | ¬ energy or mass limited) is very large
1.1.1.3 p( (interstellar space ↓ intergalactic space) | ¬ energy or mass limited) ≈ 0
1.1.2 p(energy or mass limited | reversible computing) ≈ 0
1.2 p(¬reversible computing | type III civilization in milky way) ≈ .1
2 p(¬type III civilizations in milky way) ≈ 0
Note that 1.1.1.1 and 1.1.1.2 are not mutually exclusive, and that ↓ is the joint denial / NOR boolean logic operator. Personally, after talking with you about this and reading through the reversible computing Wikipedia article (which I found quite helpful), my estimates have shifted up significantly. I originally started to build my own sort of probability tree similar to the one above, but it quickly became quite complex. I think the two of us are starting out with radically different structures in our probability trees. I tend to presume that the future has many more unknown factors than known ones, and so is fundamentally extremely difficult to predict with any certainty, especially in the far future.
The only thing we know for sure is the laws of physics, so we can make some headway by presuming that one specific barrier is the primary limiting factor of an advanced civilization, and see what logical conclusions we can draw from there. That's why I like your approach so much; before reading it I hadn't really given much thought to civilizations limited primarily by things like Laudauer's limit rather than energy or raw materials. However, without knowing their utility function, it is difficult to know for sure what limits will be their biggest concern. It's not even certain that such a civilization would have one single unified utility function, although it's certainly likely.
If I was in the 18th century and trying to predict what the 21st century would be like, even if I was a near-perfect rationalist, I would almost certainly get almost everything wrong. I would see limiting factors like transportation and food. From this, I might presume that massive numbers of canals, rather than the automobile, would address the need for trade. I would also presume that food limited population growth, and might hypothesize that once we ran out of land to grow food we would colonize the oceans with floating gardens. The 18th century notion of a type I civilization would probably be one that farmed the entire surface of a planet, rather than one that harvested all solar energy. The need for electricity was not apparent, and it wasn't clear that the industrial revolution would radically increase crop yields. Perhaps fusion power will make electricity use a non issue, or perhaps ColdTech will decrease demand to the point where it is a non-issue. These are both reasonably likely hypotheses in a huge, mostly unexplored, hypothesis space.
But let's get to the substance of the matter.
1 and 2: I tried to argue for a substantially lower p value here, and I see that you responded, so I'll answer on that fork instead. This comment is likely to be long enough as is. :)
1.1 and 1.2: I definitely agree with you that a sufficiently advanced civilization would probably have ColdTech, but among many, many other technologies. It's likely to be a large fraction of the mass of all their infrastructure, but I'm not sure if it would be a super-majority. This would depend to a large degree on unknown unknowns.
1.1.1 and 1.1.2: I'm inclined to agree with you that ColdTech technology itself isn't particularly mass or energy limited. You had this to say:
- Engineering considerations - the configurations which maximize computation are those where the computational mass is far from heat sources such as stars which limit computation. With reversible computing, energy is unlikely to be a constraint at all, and the best use of available mass probably involves ejecting the most valuable mass out of the system.
I would still think that manufacturing and ejecting ColdTech is likely to be extremely mass and energy intensive. If the civilization expands exponentially limited only by their available resources, the observable effects would look much like other forms of advanced civilizations. Are you arguing that they would stay quite small for the sake of stealth? If so, wouldn't it still make sense to spread out as much as possible, via as many independent production sites as possible? You touch on this briefly:
As long as there exists some reasonably low energy technique for ejecting from the solar system, it results in a large payoff multiplier. Of course you can still leave a bunch of stuff in the system, and perhaps even have a form of a supply line - although that could reduce stealth and add risk.
I don't see any reason not to just keep sending material out in different directions. Perhaps this is the underlying assumption that caused us to disagree, since I didn't make the distinction between manufacturing being mass/energy limited and the actual computation being mass/energy limited. When you say that such a civilization isn't mass/energy limited, are you referring to just the ColdTech, or the production too?
It seems like you could just have the ejected raw materials/ColdTech perform a course correction and series of gravity assists based on the output from a random number generator, once they were out of observational distance from the origin system. This would ensure that no hostile forces could determine their location by finding the production facility still active. Instead of a handfull of hidden colonies, you could turn a sizable fraction of a solar system's mass, or even a galaxies mass, into computonium.
Hmm I'm not sure what to make of your probability tree yet .. . but in general I don't assign such high probabilities to any of these models/propositions. Also, I'm not sure what a type III civilization is supposed to translate to in the cold dark models that are temperature constrained rather than energy constrained. I guess you are using that to indicate how much of the galaxy's usable computronium mass is colonized?
It is probably unlikely that even a fully colonized galaxy would have a very high computronium ratio: most of the mass is probably low val...
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.