Mod+ GEOMETRY OF PSYCHOLOGICAL TIME

#1
At professional conferences in Oxford, Paris and Prague, academic gatherings in Germany, Italy, and Greece, European astrophysicist Metod Saniga explained to his scientific colleagues how the NDE research of Raymond Moody, Kenneth Ring and PMH Atwater has helped him to develop a mathematical model of time that seems to offer solutions to problems that have vexed scholars since Einstein.


"One of the most striking and persistent symptoms of so-called “altered” states of
consciousness is, as we shall soon demonstrate, distortions in the perceptions of time
and space. Time is frequently reported as flowing faster or slower, expanded or
contracted, and may even be experienced as being severely discontinuous
(“fragmented”). In extreme cases, it can stop completely or expand unlimitedly. The
sense of space is likewise powerfully affected. Space can appear amplified or
compressed, condensed or rarefied, or even changing its dimensionality; it can, for
example, become just two-dimensional (“flat”), acquire another dimensions, or be
reduced to a dimensionless point in consciousness.
As yet, there exists no mathematically rigorous and conceptually sound framework
that would provide us with satisfactory explanations of these phenomena. Physics itself,
although being the most sophisticated scientific discipline in describing the “objective”
world, is not even able to account for the ordinary perception of time, let alone its other,
more pronounced “peculiarities” mentioned above. Nor does it offer a plausible and
convincing interpretation of the observed macroscopic dimensionality of space – giving
more conceptual challenges than satisfactory answers. It was, among other things, this
failure of current paradigms to accommodate a vast reservoir of the phenomena
described above that originally motivated our search for a rigorous and self-consistent
scheme, and which ultimately led into what we call the theory of pencil-generated
space-times [1–9].
The aim of this contribution is to demonstrate that this theory represents a cogent
starting point for a deeper understanding of the altered states of consciousness in their
temporo-spatial aspects. It is shown, in particular, that the three most abundant groups
of “pathological” perceptions of time, namely the feeling of timelessness (“eternity”),
time standing still, as well as the experience of the dominating past, can well be
modelled by singular (space-)time configurations represented by a specific pencil of
conics. Being speculative, the paper is also offered to stimulate further research into the
possible links between mathematics and physics on the one side, and psychology,
psychiatry and philosophy on the other."


http://arxiv.org/ftp/physics/papers/0302/0302075.pdf

Discussion welcome.
 
#2
I find the following hypothesis, though rather unsophisticated, to be more persuasive and comprehensible. It is especially valuable for its analysis of reports of extradimensional perception in NDE accounts.

http://journalofcosmology.com/Consciousness152.html
Journal of Cosmology, 2011, Vol. 14.

Near Death Experiences and the 5th Dimensional Spatio-Temporal Perspective

Jean-Pierre Jourdan, M.D.
IANDS-France President - Director of medical research, International Association for Near-Death Studies, 28 Av. Flourens Aillaud, 04700 Oraison, France,

Abstract

The cognitive and perceptive characteristics of 70 cases of Near Death Experiences have been studied. The detailed analysis of the unusual modes and characteristics of spatial and temporal perception during these experiences reveals a "hidden" logic for which I propose a model where the point of perception would be in an extra dimension. The appropriateness of such a model is analyzed and shown to be consistent with the NDE accounts in the study. In contrast, those interpretations of such perceptions as being purely hallucinatory are undermined. Whatever its meaning, the underlying logic shown in this study suggests that NDEs seem to follow precise rules. Since these experiences can be viewed as an unusual but consistent behavior of consciousness, they deserve further pluridisciplinary study.



 
#3
Thank you for this article Nbtruthman. I thought the hypothesis that some NDErs perceive the environment from a higher dimension to explain aspects of some NDE as perceive an object from all angles at once, and it appears that this hypothesis had already been made!
 
#4
One of the most striking and persistent symptoms of so-called “altered” states of
consciousness is, as we shall soon demonstrate, distortions in the perceptions of time
and space.


I'm amazed ( and yes amused) at how these "scientists" continue to get things backwards. The "distortion" is the standard perception of linear time and space. But of course if one is a believer in the idea that the physical is primary, it will be even more difficult to allow that knowing.
 
#5
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Discussion welcome.
Saniga's ideas in this paper seem to be rather abstract, abstruse, and with no development into some sort of meaningful overall hypothesis of the underlying structure or nature of existence and consciousness. Does this apparent relatedness of a particular conceptual projective geometry of conics to spatial and time distortions during altered states of consciousness imply something about the ultimate nature of reality? What does it mean - does it point to some sort of hypothesis of the underlying structure or nature of existence?

There is nothing in the paper about that other than the general observation that this seems to show an apparent relatedness between a particular form of mathematics and consciousness, leaving the whole thing as mostly an exercise in abstract pointlessness. Of course to be fair he does say that it is just a starting point. Anyway, this may just demonstrate that with sufficient cleverness apparent correlations can be envisioned between any group of phenomena and appropriately devised mathematical constructions. Sort of the finding of faces in clouds effect.

Full appreciation of his ideas seems to be restricted to those with an extensive mathematics background, and discussion would be more appropriate for mathematics and physics forums. You are welcome to get into it but I am out of my depth. I found a few related papers he authored or coathored which demonstrate this, for instance

Abstract Algebra, Projective Geometry and Time Encoding of Quantum Information
Michel Planat
Metod Saniga

Algebraic geometrical concepts are playing an increasing role in quantum
applications such as coding, cryptography, tomography and computing. We point out
here the prominent role played by Galois fields viewed as cyclotomic extensions of the
integers modulo a prime characteristic p. They can be used to generate efficient cyclic
encoding, for transmitting secrete quantum keys, for quantum state recovery and for er-
ror correction in quantum computing. Finite projective planes and their generalization
are the geometric counterpart to cyclotomic concepts, their coordinatization involves
Galois fields, and they have been used repetitively for enciphering and coding. Finally,
the characters over Galois fields are fundamental for generating complete sets of mutu-
ally unbiased bases, a generic concept of quantum information processing and quantum entanglement. Gauss sums over Galois fields ensure minimum uncertainty under such protocols. Some Galois rings which are cyclotomic extensions of the integers modulo 4 are also becoming fashionable for their role in time encoding and mutual unbiasedness.
and

Mathematical Approaches to the Concept of Time
M. Saniga

In the introductory paper, Metod Saniga reviews his algebraic geometrical theory of pencil-spacetimes based on Cremona transformations between two projective spaces of three dimensions. These spacetimes exhibit an intimate connection between the extrinsic geometry of the time dimension and the dimensionality of space. Moreover, they seem to provide us with a promising conceptual basis for the possible reconciliation between two extreme concepts of time, viz. physical and psychological.
 
#6
Saniga's ideas in this paper seem to be rather abstract, abstruse, and with no development into some sort of meaningful overall hypothesis of the underlying structure or nature of existence and consciousness. Does this apparent relatedness of a particular conceptual projective geometry of conics to spatial and time distortions during altered states of consciousness imply something about the ultimate nature of reality? What does it mean - does it point to some sort of hypothesis of the underlying structure or nature of existence?

There is nothing in the paper about that other than the general observation that this seems to show an apparent relatedness between a particular form of mathematics and consciousness, leaving the whole thing as mostly an exercise in abstract pointlessness. Of course to be fair he does say that it is just a starting point. Anyway, this may just demonstrate that with sufficient cleverness apparent correlations can be envisioned between any group of phenomena and appropriately devised mathematical constructions. Sort of the finding of faces in clouds effect.

Full appreciation of his ideas seems to be restricted to those with an extensive mathematics background, and discussion would be more appropriate for mathematics and physics forums. You are welcome to get into it but I am out of my depth. I found a few related papers he authored or coathored which demonstrate this, for instance

Abstract Algebra, Projective Geometry and Time Encoding of Quantum Information
Michel Planat
Metod Saniga

Algebraic geometrical concepts are playing an increasing role in quantum
applications such as coding, cryptography, tomography and computing. We point out
here the prominent role played by Galois fields viewed as cyclotomic extensions of the
integers modulo a prime characteristic p. They can be used to generate efficient cyclic
encoding, for transmitting secrete quantum keys, for quantum state recovery and for er-
ror correction in quantum computing. Finite projective planes and their generalization
are the geometric counterpart to cyclotomic concepts, their coordinatization involves
Galois fields, and they have been used repetitively for enciphering and coding. Finally,
the characters over Galois fields are fundamental for generating complete sets of mutu-
ally unbiased bases, a generic concept of quantum information processing and quantum entanglement. Gauss sums over Galois fields ensure minimum uncertainty under such protocols. Some Galois rings which are cyclotomic extensions of the integers modulo 4 are also becoming fashionable for their role in time encoding and mutual unbiasedness.
and
Mathematical Approaches to the Concept of Time
M. Saniga

In the introductory paper, Metod Saniga reviews his algebraic geometrical theory of pencil-spacetimes based on Cremona transformations between two projective spaces of three dimensions. These spacetimes exhibit an intimate connection between the extrinsic geometry of the time dimension and the dimensionality of space. Moreover, they seem to provide us with a promising conceptual basis for the possible reconciliation between two extreme concepts of time, viz. physical and psychological.
I probably should have provided more of a framework for this article. Firstly, despite the impression it gives, the argument presented is not mathematics because mathematics is about proof. The author is trying to draw an analogy between higher order geometry models and anecdotal accounts of differing states of consciousness. He's looking for a pattern of correspondence. In maths though we look at conceptual objects and deduce their properties in an abstracted way. The author is trying to tie the experience to the maths in a way which is counter to how mathematics is supposed to work. Despite that I felt impelled to cut him some slack as the article is an attempt to generate ideas which may lead to better "objectification" of consciousness at a later date. I realise the language of maths is difficult to understand so please bear with me. I regard this article as a type of theoretical brainstorm. It cannot and shouldn't be regarded as an attempt to describe reality. It is looking for patterns of logic which hint at connection between these experiences. Sometimes real discovery can begin with a someone seeing a vague sense of connection.

Jules
 
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