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emergent topological changes can simultaneously have non-trivial causal/computational effects while also solving the boundary problem. We avoid strong emergence but still get a kind of ontological emergence: since consciousness is being cut out of one huge fabric of consciousness, we don’t ever need strong emergence in the form of “consciousness out of the blue all of a sudden”. What you have instead is a kind of ontological birth of an individual. The boundary legitimately created a new being, even if in a way the total amount of consciousness is the same. This is of course an outrageous claim (that you can get “individuals” by e.g. twisting the electric field in just the right way). But I believe the alternatives are far crazier once you understand what they entail. In a Nutshell To summarize, we can rule out any of the current computational systems implementing AI algorithms to have anything but trivial consciousness. If there are topological pockets created by e.g. GPUs/TPUs, they are epiphenomenal – the system is designed so that only the local influences it has hardcoded can affect the behavior at each step. The reason the brain is different is that it has open avenues for solving the

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text:
boundary problem. In particular, a topological segmentation of the EM field would be a satisfying option, as it would simultaneously give us both holistic field behavior (computationally useful) and a genuine natural boundary. It extends the kind of model explored by Johnjoe McFadden (Conscious Electromagnetic Information Field(McFadden 2020)) and Susan Pockett (Consciousness Is a Thing, Not a Process(Pockett 2000)). They (rightfully) point out that the EM field can solve the binding problem. The boundary problem, in turn, emerges. With topological boundaries, finally, you can get meaningful boundaries (objective, frame-invariant, causally-significant, and computationally-useful). This conceptual framework both clarifies what kind of system is at minimum required for sentience, and also opens up a research paradigm for systematically exploring topological features of the fields of physics and their plausible use by the nervous system. See also: physicalism.com by David Pearce Against Functionalism by Michael Johnson The Binding Problem by Steven Lehar Lots of links on LaMDA / Key questions about artificial sentience: an opinionated guide by Robert Long Non-Linear Wave Computing: Vibes, Gestalts, and Realms on my YouTube channel Acknowledgements Many thanks to Michael Johnson, David Pearce, Anders & Maggie, and Steven Lehar for many discussions about the boundary/binding problem. Thanks to

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text:
Anders & Maggie and to Mike for discussions about valence in this context. And thanks to Mike for offering a steel-man of epiphenomenalism. Many thank yous to all our supporters! Much love! Infinite bliss! Tags Consciousness, Effective Altruism, STV, Valence, Marr, Ethics Chalmers, D. 2006. “Strong and Weak Emergence.” In. Chalmers, David J. 2007. “The Hard Problem of Consciousness.” In. Gómez Emilsson, Andrés. 2021. “Healing Trauma with Neural Annealing.” Qualia Computing. https://qualiacomputing.com/2021/05/08/healing-trauma-with-neural-annealing/. Johnson, Michael. 2017. “Why We Seek Out Pleasure: The Symmetry Theory of Homeostatic Regulation.” OpenTheory. https://opentheory.net/2017/05/why-we-seek-out-pleasure-the-symmetry-theory-of-homeostatic-regulation/. Lehar, Steven. 2003. The Constructive Aspect of Visual Perception: http://slehar.com/www/ConstructiveAspect/ConstructiveAspect.html. ———. 2010. The Grand Illusion: A Psychonautical Odyssey into the Depths of Human Experience. http://slehar.com/wwwRel/GrandIllusion.pdf. McFadden, Johnjoe. 2020. “Integrating Information in the Brain’s EM Field: The Cemi Field Theory of Consciousness.” Neuroscience of Consciousness 2020 (1): niaa016. https://doi.org/10.1093/nc/niaa016. Mordvintsev, Alexander, Ettore Randazzo, Eyvind Niklasson, and Michael Levin. 2020. “Growing Neural Cellular Automata.” Distill 5 (2): 10.23915/distill.00023. https://doi.org/10.23915/distill.00023. Pockett, Susan. 2000. The Nature of Consciousness: A Hypothesis. San Jose, Calif.: Writers Club Press. Yu, Chris, Caleb Brakensiek, Henrik Schumacher, and Keenan Crane. 2021. “Repulsive Surfaces.” ACM Trans. Graph. 40 (6). See the “Self Mirroring” section to contrast the self-blindness of a lookup table

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text:
and the self-awareness of sentient beings.↩︎ More symmetrical shapes will tend to have more clean resonant modes. So to the extent that symmetry tracks fitness on some level (e.g. ability to shed off entropy), then quickly estimating the spectral complexity of an experience can tell you how far it is from global symmetry and possibly health (explanation inspired by: Johnson’s Symmetry Theory of Homeostatic Regulation(Johnson 2017)).↩︎ References Citation For attribution, please cite this work as Gómez-Emilsson (2022, June 20). Digital Sentience Requires Solving the Boundary Problem. Retrieved from https://www.qri.org/blog/digital-sentience BibTeX citation @misc{gómez-emilsson2022digital, author = {Gómez-Emilsson, Andrés}, title = {Digital Sentience Requires Solving the Boundary Problem}, url = {https://www.qri.org/blog/digital-sentience}, year = {2022} } The Hyperbolic Geometry of DMT Experiences: Symmetries, Sheets, and Saddled Scenes Content Warning: Trying to understand the contents of this essay may be mindwarping. Proceed with caution. Andrés Gómez-Emilsson ../people/andrés-gómez-emilsson (Qualia Research Institute)https://www.qri.org/ December 12, 2016 Contents The Geometry of DMT States Conceptual Framework: Algorithmic Reduction What is Hyperbolic Geometry? We Can Only Remember What We Can Reconstruct What about DMT Suggests Hyperbolic Geometry? The Phenomenology of DMT Experiences: The Six Levels Threshold The Chrysanthemum The Magic Eye Level Waiting Room Breakthrough Amnesia Level Recalling the Immemorial DMT

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text:
Objects DMT Space Expansion DMT Entities Modeling the Hyperbolic Geometry of DMT Control Interruption + Symmetry detection = Change in Metric Dynamic System Account: Energy Sources, Sinks and Invariants Hyperbolic Micro-Structure of Consciousness Generalizing hyperbolization to non-spatial experiential fields Getting a handle on the DMT state Unifying Your Space Applications to Qualia Computing and Closing Thoughts Mathematics post-hyperbolic consciousness Acknowledgements Tags The following research was conducted by synthesizing high-quality, anonymous, first-person reports from psychedelic forums and reports sent directly to us. We do not condone the use of psychedelics because fully positive states cannot be guaranteed. For further reading on our views of psychoactive substances in the study of consciousness, see our research lineages. Content Warning: Trying to understand the contents of this essay may be mind-warping. Proceed with caution. Friends, right here and now, one quantum away, there is raging a universe of active intelligence that is transhuman, hyperdimensional, and extremely alien. —Terence McKenna The Geometry of DMT States This is an essay on the phenomenology of DMT. The analysis here presented predominantly uses algorithmic, geometric and information-theoretic frameworks, which distinguishes it from purely phenomenological, symbolic, neuroscientific or spiritual accounts. We do not claim to know what ultimately(Emilsson 2015c)

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text:
implements the effects here described (i.e. in light of the substrate problem of consciousness), but the analysis does not need to go there in order to have explanatory power. We posit that one can account for a wide array of (apparently diverse) phenomena present on DMT-induced states of consciousness by describing the overall changes in the geometry of one’s spatiotemporal representations (what we will call “world-sheets” i.e. 3D + time surfaces; 3D1T for short). The concrete hypothesis is that the network of subjective measurements of distances we experience on DMT (coming from the relationships between the phenomenal objects one experiences in that state) has an overall geometry that can accurately be described as hyperbolic (or hyperbolic-like). In other words, our inner 3D1T world grows larger than is possible to fit in an experiential field with 3D Euclidean phenomenal space (i.e. an experience of dimension R2.5 representing an R3 scene). This results in phenomenal spaces, surfaces, and objects acquiring a mean negative curvature. Of note is that even though DMT produces this effect in the most consistent and intense way, the effect is also present in states of consciousness induced by tryptamines(“Erowid Online Books : "TIHKAL" - the Continuation" by Alexander

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text:
and Ann Shulgin,” n.d.) and to a lesser extent in those induced by all other psychedelics. Conceptual Framework: Algorithmic Reduction We will use the reduction framework originally proposed in the article Algorithmic Reduction of Psychedelic States(Emilsson 2016a). This means that we will be examining how algorithms and processes (as experienced by a subject of experience) can explain the dynamics of people’s phenomenology in DMT states. We do not claim “the substrate of consciousness” is becoming hyperbolic in any literal sense (though we do not discard that possibility). Rather, we interpret the hyperbolic curvature that experience acquires while on DMT as an emergent effect of a series of more general mechanism of action that can work together to change the geometry of a mind. These same mechanisms of action govern the dynamics of other psychedelic experiences; it is the proportion and intensity of the various “basic” effects that lead to the different outcomes observed. In other words, the hyperbolization of phenomenal space may not be a fundamental effect of DMT, but rather, it may be an emergent effect of more simple effects combined (not unlike how our seemingly smooth macroscopic space-time emerges from the jittery yet fundamental interactions that happen in

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a microscopic high-dimensional quantum foam). In particular, we will discuss three candidate models for a more fundamental algorithmic reduction: (1) the synergistic effect of control interruption(“The Control Interrupt Model of Psychedelic Action,” n.d.) and symmetry detection resulting in a change of the metric of phenomenal space (analogously to how one can measure the geometry of hyperbolic graph embeddings), (2) the mind as a dynamic system with energy sources, sinks and invariants, in which curvature stores potential energy, and (3) a change in the underlying curvature of the micro-structure of consciousness. These models are not mutually-exclusive, and they may turn out to be compatible. More on this later. What is Hyperbolic Geometry? Perhaps the clearest way to describe hyperbolic space is to show examples of it: Saddle Inside a hyperbolic cube In hyperbolic 3D space dodecahedra can have right corners. The picture to the left shows a representation of a “saddle” surface. In geometry, saddle surfaces are 2-dimensional hyperbolic spaces (also called “hyperbolic planes” or H2(“Visualizing the Sphere and the Hyperbolic Plane: Five Projections of Each,” n.d.)). For a surface to have “constant curvature” it must look the same at every point. In other words, for a saddle to be a

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text:
geometric saddle, every point in it must be a “saddle point(“Saddle Points,” n.d.)” (i.e. a point with negative curvature(“Negative Curvature, Surface of - Encyclopedia of Mathematics,” n.d.)). As you can see, saddles have the property that the angles of a triangle found in them add up to less than 180 degrees (compare that to surfaces with positive curvature such as the 2-sphere, in which the angles of a triangle add up to more than 180 degrees). Generalizing this to higher dimensions, the middle image above shows a cube in H3 (i.e. a hyperbolic space of three dimensions). This cube, since it is in hyperbolic space, has thin edges and pointy corners. More generally, the corners of a polyhedra (and polytopes) will be more pointy in Hn than they are in Rn. This is why you can see in the right image a dodecahedron with right-angled corners, which in this case can tile H3 (cf. Not Knot(“Not Knot,” n.d.)). Such a thingpeople of the past might say- is an insult to the imagination. Times are changing, though, and hyperbolic geometry is now an acceptable subject of conversation. An important property of hyperbolic spaces is the way in which the area of

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text:
a circle (or the n-dimensional volume of a hypersphere) increases as a function of its radius. In 2D Euclidean space the area grows quadratically with the radius. But on H2, the area grows exponentially as a function of the radius! As you may imagine, it is easy to get lost in(“Hyperbolic Geometry in HyperRogue,” n.d.) hyperbolic space. A few steps take you to an entirely different scene. More so, your influence over the environment is greatly diminished as a function of distance. For example, the habitable region of solar systems in hyperbolic spaces (i.e. the Goldilocks zone) is extremely thin. In order to avoid getting burned or freezing to death you would have to place your planet within a very narrow distance range from the center star. Most of what you do in hyperbolic space either stays as local news or is quickly dissipated in an ever-expanding environment. We Can Only Remember What We Can Reconstruct We cannot experience H2 or H3 manifolds under normal circumstances, but we can at least represent some aspects of them through partial embeddings(Weisstein, n.d.) (i.e. instantiations as subsets of other spaces preserving properties) and projections(“Hyperbolic Space,” n.d.) into more familiar geometries. It is important

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text:
to note that such representations will necessarily be flawed. As it turns out, it is notoriously hard to truly embed H2 in Euclidean 3D space, since doing so will necessarily distort some properties(“Visualizing the Sphere and the Hyperbolic Plane: Five Projections of Each,” n.d.) of the original H2 space (such as distance, angle, area, local curvature, etc.). As we will discuss further below, this difficulty turns out to be crucial for understanding why DMT experiences are so hard to remember. In order to remember the experience you need to create a faithful and memorable 3D Euclidean embedding of it. Thus, if one happens to experience a hyperbolic object and wants to remember as much of it as possible, one will have to think strategically about how to fold, crunch and deform such object so that it can be fit in compact Euclidean representations. What about DMT Suggests Hyperbolic Geometry? Why should we believe that phenomenal space on DMT (and to a lesser extent on other psychedelics) becomes hyperbolic-like? We will argue that the features people use to describe their trips as well as concrete mathematical observations of such features point directly to hyperbolic geometry. Here is a list of such

embedding:
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text:
features (arranged from least to most suggestive… you know, for dramatic effect): Perception of far-out travel (as we said, small movements in hyperbolic space lead to huge changes in the scene). Feelings of becoming big (you can fit a lot more inside a circle of radius r in hyperbolic space). The space experienced is often depicted as “more real and more dense than normal.” The use of terms like “mind-expanding” and “warping” to describe the effects of the drug are very common. People describing it as “a different kind of space” and frequently using the word “hyperspace” to talk about it. Difficulty integrating/remembering the objects and scenes experienced (e.g. “they were too alien to recall”). Constant movement/acceleration and change of perspectives which are often described as “unfolding scenes and expanding patterns” (cf. the chrysanthemum(“Chrysanthemum - First Steps in Hyperspace - Welcome to the DMT-Nexus,” n.d.), jitterbox(“The Jitterbox: 3d Auxetic Material,” n.d.)). Continuous change of the scene’s context through escape routes: A door that leads to a labyrinth that leads to branching underground tunnels that lead to mirror rooms that lead to endless windows, and the one you take leading you to a temple with thirty seven gates which lead you

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