DMT experiences and hyperbolic geometry
I received from Jani Lassial a link to a highly inspiring talk about a modelling of DMT induced experiences in terms of 2-D and more generally 3-D hyperbolic geometry. The title of the talk was “DMT and Hyperbolic Geometry”. The talk was by a person using the name “Algekalipso” and I understand that the person in question is Andres Gomez Emilsson. The organization in question is a non-profit organization known as Qualia Research Institute. There is also article with essentially the same content.
Can one characterize DMT experiences by using temperature like parameters?
The question posed in the beginning of the talk was whether there could exist parameters analogous to temperature allowing a general qualitative understanding of the nature of the DMT and more general psychedelic experiences. The proposal was that the DMT experience could be characterized by two parameters.
- The first parameter characterizes how “hyperbolic” the visual field is and is identifiable as the curvature of the hyperbolic space. The idea is that during a DMT trip the experienced 3-space is not Euclidean but hyperbolic. This kind of geometry has been proposed as an effective statistical geometry of the brain in which functionally similar neurons distant from each other are close to each other.
In the TGD framework, this effective geometry could correspond to a real hyperbolic geometry of 3-D hyperbolic space playing a key role in TGD and assignable naturally to the magnetic body (MB). What would be experienced would be the projection of objects of H3 to the usual Euclidean space E3.
In the TGD framework, space-times are minimal surfaces apart from singularities analogous to frames of soap films and their basic aspect is local saddle point property possessed also by hyperbolic spaces. Maybe DMT experiences make it possible to visually perceive 3-surfaces as objects in H3. Also the usual vision also corresponds to hyperbolic vision but with a small value of the H3 curvature.
The value heff=nh0 of the effective Planck constant, which can be larger than h, would correspond to the dimension n of the extension of rationals and serve as a universal IQ. Dark matter would correspond to phases of ordinary matter with heff ≠ h.
As the IQ increases, the experience transforms from simple to complex and eventually chaotic since the experiencer is not able to make sense of it. Under some assumptions this would relate to the formation of Julia set type fractals. About hyperbolic spaces
First some mathematical background.
- Hyperbolic 3-space H3 is a generalization of 1-D hyperbola of 2-D space-time as a curve defined by condition t2-x2= a2 but with its metric being induced from the 2-D Minkowski metric ds2= dt2-dx2 . By performing all possible rotations of this 1-D hyperbola one obtains H3.
- In particle physics H3 corresponds to mass shell E2-p2= m2 and in cosmology to cosmic time identifiable as a2=tr-r2 in M4 ⊂ M4× CP2. a defines Lorentz invariant cosmic time and is therefore analogous to absolute time invariant under Lorentz boosts which do not affect the tip of the light-cone. It is not invariant under translations however.
In the TGD framework H3 has a central role and plays a key role also in the model of the brain involving the notion of magnetic body (MB). One could say that cognitive and sensory representations are realized at the intersection of MB with H3.
It was already mentioned that the proper time parameter a and algebraic complexity characterized by extension of rationals could characterize DMT experience. The increased complexity in turn means approach to apparent chaos since it is not possible to comprehend too high complexity. The following description is what I understood from the representation of Emilsson. I have not personally made DMT trips except spontaneously decades ago. This experience was so impressive that I got a passion to understand conscious experience from a quantum physics point of view.
- For small DMT does, the visual experiences correspond to patterns in plane E2 ⊂ E3, which can be regarded as plane H2⊂ H3 for large value of a and thus small curvature.
The 17 lattices of E2, called wallpapers, serve as a background for the visual field. As if one would be perceiving two different worlds simultaneously. The lattices can be dynamical and pulsate. This kind of experience was part of the “Great Experience” decades ago.
The visual field becomes more and more hyperbolic. What we would see is the projection of the patterns of H2a⊂ H3a⊂ M4+ to E2t⊂ E3t⊂ M4+, where a is cosmic time and t is the linear Minkowski time.
Algebraic complexity of the experience as a second parameter
The second parameter discussed in the talk was meant to characterize what was called valence as a measure for the degree of “bliss” of the experience. TGD counterpart would be algebraic complexity associated with the extension of rationals defined by the polynomial defining the space-time region. The value of heff/h0=n as dimension of extension would serve as the parameter. For large values of n the situation becomes too complex to comprehend or remember and the bliss is lost.
In the TGD framework more complex systems can be engineered as functional composites of polynomials and this leads to the increase of heff. One can interpret this also as a construction of many-particle states with each polynomial, which represents a particle-like entity. When a fixed polynomial is iterated functionally, one obtains a fractal known as Julia set so that the connection with fractals is quite concrete.
To sum up, the reports of Emilsson suggest a very concrete connection between DMT experience and TGD based views of space-time and number theoretical vision about quantum theory explaining dark matter as heff=nh0 phases. DMT perception would be perceptions of both ordinary and dark matter simultaneously.
For a summary of earlier postings see Latest progress in TGD.
Articles and other material related to TGD.
Source: http://matpitka.blogspot.com/2022/05/dmt-experiences-and-hyperbolic-geometry.html
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