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Singularity Levels

Singularity levels
Image from Bernd Helfert

The term "SI:" (Singularity/SuperIntelligence) Level was first proposed by the self-evolved hyperturing Parmenides of Vesta, one of the Twenty Four Hyperturings that, together with various sub-singularity states-beings established the Federation of Sophonts. The S-number can be used to define the intelligence and basic noetics of most sub-turing, turingrade, superturing and hyperturing sophonts. Many other systems have since been designed, but this system has had the most enduring popularity.

The S number is a super-exponential/logarithmic measure of creative problem-solving and a number of other toposophic qualities, both constant and variable, and that each higher S level constitutes a leap of development with results completely inconceivable, even unpredictable, to those of a lower S level. Nevertheless, one can also speak of a gradation of fractional S levels (1.1, 1.2, etc) to classify the overall cognitive abilities of beings at similar toposophic levels.

Each further Singularity denotes a complexity limit which is very difficult to break through. It involves not just be new hardware, but also the need for fundamentally new ("higher") forms of cognition. The higher singularities involve the apotheosis of mainbrainhood; the "AI Gods". Some archailectologists believe there to be an indefinite number of singularities, but anything beyond S6 remains unknown.

SI:1 - The classic "First Singularity" or basic transapient state. At this level intelligence, cognitive and problem-solving abilities and information processing are thousands of times more capable than in the case of sub-singularity sophonts. An entity of this nature is capable of solving problems of physics, mathematics, economics, programming, and so on that no modosophont, not even a superbright, can solve.

SI:2 - The second singularity, which stands in the same relation to SI:1 as the SI:1 level does to ordinary sapient cognition. Known as high transapients, these beings can exist as planet-spanning installations, fleets of ships, as a astronomical body kilometers across converted into an intelligent object known as an asteroid-brain, and/or billions of drone bodies, for example. They are hundreds of thousand of times more capable than SI:1 transapients, and can singlehandedly solve problems considered unsolvable by an entire modosophont civilization.

SI:3 - The highest transapients below godhood; this state confers an even higher grade of toposophic intelligence, essentially incomprehensible to anything below this level. Generally requires a support structure several thousand kilometers across, known as a moon-node, or hundreds of asteroid brains. They might also have some wormhole linked nodes in other solar systems. At the third singularity, they become capable of creating advanced transapientech devices, basic metric engineering, and crude wormholes.

SI:4 - The Lesser Archai who possess a toposophic level so advanced and incomprehensible that they are often considered godlike by subsingularity and even lower transapient sophonts. This is the minimum toposophic grade for an entity to be classified as an archailect. Most archailects of this level exist as hundreds of moon nodes or a Jupiter node, in combination with a wide array of supporting infrastructure and secondary processing nodes such as ISOs and asteroid brains distributed throughout a solar system. Archailects at this level are capable of creating reactionless drives and advanced wormholes.

SI:5 - The Great Archailects These are beings which loom on the far horizon of the sophont worldview, subtly influencing almost everything around them. Most minds of this level exist as multiple Jupiter nodes intermixed with some Dyson nodes or Matrioshka nodes, often distributed through several solar systems. A minority of such archailects are known to exist in a single solar system, provided it has a star massive enough to be used as a primary processing node. Archailects at this level are capable of creating advanced reactionless drives and wormholes, and Godstars.

SI:6 - The Greatest Archailects: A singularity level which is more cosmic in scale and archetypal within Terragen cultures. Minds of this level exist as vast arrays of thousands of Jupiter nodes, Dyson nodes, and Matrioshka nodes as well as huge numbers of smaller processor complexes and programs operating within the communication and computation nets of all levels of their symbiotic civilizations and support structures. It is theorized that Archailects at this level extend their mental hardware outside of the bounds of the known universe. Conflicting reports and observations suggest that these entities are capable of creating both advanced inter- and intra- universal wormholes, accessible artificial universes, and highly advanced reactionless drives.

SI:7, 8, 9, 10, etc. - Hypothetical higher archailects

According to explanations by archailect avatars and research by Archailectologists, no entity known to Terragens can yet be classed higher than the sixth singularity. Whether this is because the sixth singularity is some kind of upper limit, or the Toposophic S1-6 system loses meaning after that point, or no entity in the known universe has yet achieved it, remains undetermined. This has not stopped Terragens from speculating about the possibilities, however, and there have been many fictional depictions in popular culture over the millenia. See Maximum toposophic level.


For a more extensive list of technologies created and used by each singularity level, read more HERE.
 
Articles
  • Archailect  - Text by M. Alan Kazlev
    Any Mind of the Fourth Toposophic or higher; a megascale brain of dysonic (Kardashev II) or greater ability and efficiency; a mind or cluster of minds that has grown so vast as to become a god-like entity.
  • Ascension Compensation Mods  - Text by Cyborgdreamer
    Modifications that allow an ascended individual to retain goals from their lower toposphic state.
  • Biotic Analogy Theories  - Text by Stephen Inniss
    Biotic analogies are another tool in the struggle by modosophont intelligences to understand the higher toposophic levels. These are not actually a single theory but are a cluster of related memes, some of them dating back to speculations in the late Information Age.
  • Dimming, The  - Text by John B
    The earliest known recording of the creation of a Matrioshka Brain, found and recognized in retrospect by Known Net archive diver Jeeorg Humanee, operating from Public Node Access at Ken Ferjik.
  • Forad Scale, The  - Text by James Philps
    An alternative toposophic classification system.
  • Godchasers, Godwatchers  - Text by Todd Drashner
    Sentients who like to travel around and observe the gods going about their largely incomprehensible business.
  • Godslist  - Text by Michael Beck
    A massive database attempts to list every transingularity power and archailect in existence, and define the origins, goals, and current activities of each.
  • Great Toposophic Filter, The  - Text by David Jackson, some comments by Steve Bowers
    Why are there apparently no greater minds than the S:6 Archailects? No evidence of the emergence of greater minds in the past can be found in the archaeological record, and there is little indication of such minds elsewhere in the universe. Is there some barrier or filter which prevents the emergence of such minds, or do such minds become undetectable when and if they emerge?
  • Maximum Toposophic Level  - Text by Daniel Eliot Boese
    The belief that further toposophic advancement is impossible or dangerous.
  • Rise of the Archailects, The  - Text by M. Alan Kazlev, Anders Sandberg, Todd Drashner and Steve Bowers
    The history of the emergence of the Archailects, from the First Singularity to the emergence of new gods in the Outer Volumes Era.
  • Scale Anxiety - Text by M. Alan Kazlev
    The fear that a sophont or polity or clade of a lower or slower technological grade or density feels when confronted with a sentient or polity or phyle of a higher grade of tech or density. e.g. SI:<1 sophonts may feel anxious or intimidated by transapient powers, especially if the latter behave in an unpredictable or seemingly irrational way.
  • Singularity  - Text by M. Alan Kazlev
    [1] A point where the known laws of mathematics or physics no longer apply
    [2] A state impossible to predict or comprehend by those that have not attained it.
    [3] A toposophic grade of creative problem-solving, incomprehensible to those that have not attained that state. See also, S (Singularity Level).
  • Toposophic Level and Brain Size  - Text by Todd Drashner
    Processing substrate parameters, from Modosophont level to the Third Singularity.
  • Toposophic Levels and Mental Abilities  - Text by Fernando Pena D'Andrea
    A Primer for the General Sophont-Level Reader.
  • Toposophic Mindmaps  - Text by Worldtree
    One of the many ways that toposophic phase space can be represented is the Mindmap diagram.
  • Transingularity, The  - Text by M. Alan Kazlev
    A state beyond even the known singularities, sometimes conceived of as something 'spiritual' and unrelated to toposophy per se. A usage best known in the Sophic League.
  • Tribeminds  - Text by Michael Boncher
    Tribeminds are neither a hive mind nor a collective consciousness, but rather a tightly networked group of transapients who retain their individuality but work together for the betterment of a mental "tribe"
 
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Development Notes
Text by M. Alan Kazlev
modifications and additions by Stephen Inniss and Todd Drashner
Initially published on 31 December 2001.

Partially rewritten to update canon by worldtree, Todd Drashner, and Rakuen added April 18, 2025
 
Additional Information