Search FQXi

If you are aware of an interesting new academic paper (that has been published in a peer-reviewed journal or has appeared on the arXiv), a conference talk (at an official professional scientific meeting), an external blog post (by a professional scientist) or a news item (in the mainstream news media), which you think might make an interesting topic for an FQXi blog post, then please contact us at with a link to the original source and a sentence about why you think that the work is worthy of discussion. Please note that we receive many such suggestions and while we endeavour to respond to them, we may not be able to reply to all suggestions.

Please also note that we do not accept unsolicited posts and we cannot review, or open new threads for, unsolicited articles or papers. Requests to review or post such materials will not be answered. If you have your own novel physics theory or model, which you would like to post for further discussion among then FQXi community, then please add them directly to the "Alternative Models of Reality" thread, or to the "Alternative Models of Cosmology" thread. Thank you.

Contests Home

Current Essay Contest

Previous Contests

Undecidability, Uncomputability, and Unpredictability Essay Contest
December 24, 2019 - April 24, 2020
Contest Partners: Fetzer Franklin Fund, and The Peter and Patricia Gruber Foundation

What Is “Fundamental”
October 28, 2017 to January 22, 2018
Sponsored by the Fetzer Franklin Fund and The Peter & Patricia Gruber Foundation

Wandering Towards a Goal
How can mindless mathematical laws give rise to aims and intention?
December 2, 2016 to March 3, 2017
Contest Partner: The Peter and Patricia Gruber Fund.

Trick or Truth: The Mysterious Connection Between Physics and Mathematics
Contest Partners: Nanotronics Imaging, The Peter and Patricia Gruber Foundation, and The John Templeton Foundation
Media Partner: Scientific American


How Should Humanity Steer the Future?
January 9, 2014 - August 31, 2014
Contest Partners: Jaan Tallinn, The Peter and Patricia Gruber Foundation, The John Templeton Foundation, and Scientific American

It From Bit or Bit From It
March 25 - June 28, 2013
Contest Partners: The Gruber Foundation, J. Templeton Foundation, and Scientific American

Questioning the Foundations
Which of Our Basic Physical Assumptions Are Wrong?
May 24 - August 31, 2012
Contest Partners: The Peter and Patricia Gruber Foundation, SubMeta, and Scientific American

Is Reality Digital or Analog?
November 2010 - February 2011
Contest Partners: The Peter and Patricia Gruber Foundation and Scientific American

What's Ultimately Possible in Physics?
May - October 2009
Contest Partners: Astrid and Bruce McWilliams

The Nature of Time
August - December 2008

Forum Home
Terms of Use

Order posts by:
 chronological order
 most recent first

Posts by the author are highlighted in orange; posts by FQXi Members are highlighted in blue.

By using the FQXi Forum, you acknowledge reading and agree to abide by the Terms of Use

 RSS feed | RSS help

Lawrence B. Crowell: on 12/4/08 at 2:08am UTC, wrote Matti: I remember having communications with you some years ago. It looks...

Anonymous: on 11/5/08 at 21:25pm UTC, wrote Matti, I am attracted by your use of number theory in your essay. I loved...

Narendra nath: on 11/3/08 at 6:31am UTC, wrote Matti, in case you don't locate the older FQXI site, may i repeat what...

Narendra Nath: on 11/2/08 at 17:48pm UTC, wrote Through strange citing of a Blog put up by FQXI web prior to this site,...

Narendra: on 10/24/08 at 13:37pm UTC, wrote Dear Matti, Our responses are hopefully seen by other authors and general...

Anonymous: on 10/24/08 at 7:48am UTC, wrote Dear Narendra, nice to hear that we have common vision about...

Matthew Kolasinski: on 10/24/08 at 7:47am UTC, wrote Dear Dr.Pitkänen, a quick note about 'anonymous', there's a tab at the...

Narendra nath: on 10/23/08 at 13:17pm UTC, wrote Dear Matti Pitkanen, your response to the anonymous above also provided...


Dr Narayan Bhadra : "For the explanation of Gravitational forces we need to go beyond the..." in The Noise of Gravitons

Dr Narayan Bhadra : "STRUCTURE FORMATION OF BIO-ELEMENTS Dr. Narayan Kumar Bhadra Lakshmipur..." in The Noise of Gravitons

Ulla Mattfolk: "In a statement posted on its website on 27 June, SNRIU said that "due to..." in Global Collaboration

Ulla Mattfolk: "Cont. Of the nuclear countries Sweden and Germany has said no thanks, they..." in Global Collaboration

Steve Dufourny: "Jonathan Dickau ,hope you are well, always cool to have your points of vue,..." in 16th Marcel Grossmann...

Steve Dufourny: "This platform is about theoretical physics, it is irritating to have these..." in 16th Marcel Grossmann...

Steve Dufourny: "I recommand this you tube of Professor Ellis about mind, intelligence,..." in George Ellis - How can...

Steve Dufourny: "irritating these posts, they shall disappear simply because under review..." in George Ellis - How can...

click titles to read articles

The Math of Consciousness: Q&A with Kobi Kremnitzer
A meditating mathematician is developing a theory of conscious experience to help understand the boundary between the quantum and classical world.

Can We Feel What It’s Like to Be Quantum?
Underground experiments in the heart of the Italian mountains are testing the links between consciousness and collapse theories of quantum physics.

The Thermodynamic Limits of Intelligence: Q&A with David Wolpert
Calculating the energy needed to acquire and compute information could help explain the (in)efficiency of human brains and guide the search for extra-terrestrial intelligence.

Gambling Against the Second Law
Using precision thermometry to make mini heat engines, that might, momentarily, bust through the thermodynamic limit.

Mind and Machine: What Does It Mean to Be Sentient?
Using neural networks to test definitions of 'autonomy.'

June 30, 2022

CATEGORY: The Nature of Time Essay Contest (2008) [back]
TOPIC: About the Nature of Time by Matti Juhani Pitkänen [refresh]
Bookmark and Share
Login or create account to post reply or comment.

Matti Juhani Pitkänen wrote on Oct. 2, 2008 @ 09:21 GMT
Essay Abstract

The identification of the experienced time and geometric time involves well-known problems. Physicist is troubled by the reversibility of geometric time contra irreversibility of experienced time, by the conflict between determinism of Schrödinger equation and the non-determinism of state function reduction, and by the poorly understood the origin of the arrow of geometric time. In biology the second law of thermodynamics might be violated in its standard form for short time intervals. Neuroscientist knows that the moment of sensory experience has a finite duration, does not understand what memories really are, and is bothered by the Libet's puzzling finding that neural activity seems to precede conscious decision. These problems are discussed in the framework of Topological Geometrodynamics (TGD) and TGD inspired theory of consciousness constructed as a generalization of quantum measurement theory. In TGD space-times are regarded as 4-dimensional surfaces of certain 8-dimensional space-time H and obey classical field equations. The basic notions of consciousness theory are quantum jump and self. Subjective time is identified as a sequence of quantum jumps. Self has as a geometric correlate a fixed volume of H- "causal diamond"-defining the perceptive field of self. Quantum states are regarded as quantum superpositions of space-time surfaces of H and by quantum classical correspondence assumed to shift towards the geometric past of H quantum jump by quantum jump. This creates the illusion that perceiver moves to the direction of the geometric future. Macroscopic quantum coherence and the identification of space-times as surfaces in H play a crucial role in this picture allowing to understand also other problematic aspects in the relationship between experienced and geometric time.

Author Bio

Matti Pitkänen is Finnish theoretical physicist. Since 1978 he has worked with Topological Geometrodynamics (TGD), which is a proposal for a unification of fundamental interactions generalizing string models. After the thesis on the subject (1982) he has continued as a free researcher to develop mathematical theory around the basic physical ideas represented in thesis. During ninetees p-adic physics, quantum theory of consciousness, and quantum biology became parts of TGD program. Around 2005 the hypothesis about hierarchy of Planck constants led to a further generalization of the basic mathematical framework of TGD.

Download Essay PDF File

Bookmark and Share

Dr.N. Nath wrote on Oct. 10, 2008 @ 14:00 GMT
Dear Matti Pitkannen,

i am completely ignorant about the abc of your mathematical approach in modeling ' consciousness' using Quantum Physics coupled with geometrical string like approach. Your self has confined the term entirely within your own Ph.D. thesis and your subsequent research. The term is so wide as to encompass the entire creation of the Universe(s) and still remain unaffected in its all potent, eternal way. May i urge you to look up other essay contributions and try to rationalize your own approach after comprehending the different approaches made therein.

Bookmark and Share

matthew kolasinski wrote on Oct. 13, 2008 @ 06:53 GMT
Dear Dr. Pitkänen,

i'm slowly working my way through all the entries here. i see you've gotten merely one comment on your posting so far, and that appears to be blaming you for the person's own ignorance. hm.

yours is a challenging piece of work. i had to do a bit of research just to get the slightest handle on where it's even coming from, but there is an order and organization there that suggested some solid stuff that might be worth looking into. i just couldn't tell if it was an incredibly brilliant private satirical piece about your music collection getting ruined or sincere. Wheeler and Penrose? hm. perhaps both.

materializing consciousness, i can see where some might take issue with that just on general principles, but i suppose if physics wishes to study something, there needs to be something physical in some way at least ascribed to what it is that's being studied. my hats off to you if for nothing else than at least making an attempt at a physics of consciousness. there is a certain imperative for this work being undertaken in physics. consciousness is most certainly both effected by and effective in what we call physical reality. that's a question for physics. hm. still puzzling whether or no there's actually anything but consciousness...


"Why this shifting should always occur to the direction of geometric past of the imbedding space?"

good question. coming down from the whiteboard a moment and working from a human perspective, suspecting it's largely a matter of perception. the question rightly posed is 90% of the way to a solution. what shapes the perception? i have some strong suspicions here. a hint. you might not like this. one word. gravity.

thanks for the brain exercise,

matthew kolasinski

Bookmark and Share

Matti Pitkänen wrote on Oct. 17, 2008 @ 07:45 GMT
Dear Matthew,

TGD is a generalization of string model which was born about 6 yeas before the super string revolution 1984 and its development has forced a lot of new mathematics and also forced to develop quantum theory of consciousness as a generalization of quantum measurement theory. Therefore I am not surprised that this vision does not open with the first reading!

The problem which remained unsatisfactorily understood as I wrote the essay was the answer to the question what mechanism causes the shifting of the quantum superpositions of space-time surfaces to the direction of the geometric past of 8-D imbedding space, and how this relates to the localization of the contents of sensory experience to the future boundary of the causal diamond (double light-cone). One possibility is that the arrow results as a mathematical necessity. The alternative possibility, which I did not consider, is that consciousness is involved in an essential manner: the arrow of time is a consequence of intentional action as p-adic considerations encouraged to consider. A possible answer to the question how this comes out came some time after the posting of the essay.

Recall that I identify causal diamonds (CDs) are correlates for selves, conscious entities. Conscious entities are also curious entities and they want to learn what space-time sheets look like outside the CD (that is in the geometric future above the upper boundary and in the geometric past of lower boundary of CD). To learn this they generate intentionally quantum jumps shifting the quantum superposition of space-time sheets to either geometric future or past. A spontaneous selection of the arrow of time takes place. It would not be surprising if a kind of phase transition would imply domino like effect leading to a global arrow of time. Local deviations from global arrow are however possible: molecular self assembly processes in living matter could represent one example of this.

Also the distribution of sub-CDs serving as correlates for mental images tends to be concentrated near the upper (or lower) boundary of CD since news arrive from there. Hence the contents of sensory and also other kinds of experiences tend to be located to a narrow interval of geometric time.

A version of article representing this view about the arrow of time can be found at my homepage .

With Best Regards,

Matti Pitkänen

Bookmark and Share

matthew kolasinski wrote on Oct. 18, 2008 @ 06:31 GMT
Dear Dr. Pitkänen,

thank you for your very patient reply to my post.



I am not surprised that this vision does not open with the first reading!


it's been an interesting experience reading the posts here. some wonderful stuff, but i'm experiencing it as a bit like being in an international bazaar in a foreign country with a...

view entire post

Bookmark and Share

narendranath wrote on Oct. 20, 2008 @ 14:47 GMT
Dear Matt and Dr.Pitkanen,

This essay provides a new approach as there are other new approaches in this essay competition. May i just offer the point that each scientific approach depends on the precepts and subsequent concepts that one introduces to explain any phenomenon being examined. The bias starts from here and thus the consequences follow as per the assumptions made. Maths and geometrical pictures are just the tools one uses to comprehend the unknown. Thus, science ends up with relative truths which may stand the test of times but are liable to chsnge as soon as alternate concepts arrive or additional observations/measurements become available. Nothing wrong in this methodology inspite of its self-limitation. However, the concept of 'consciousness' is unique as it is not a physical parameter! i don't understand how Dr. Patkinen is modeling it in his approach.There are processes of thought however which can be utilised. The science of Yoga & meditation developed originally in India over 4000 yrs. back by Patanjali through a process of inward looking methodology, hints at the role of silence/thoughtlessness in order to reach the higher levels of human consciousness! There lies the hope of discerning the nature of 'consciousness'. perhaps then one can better attempt to model this non-physical entity and use it to broaden our scientific horizon and expand our paradigms in furthering science of outside with that of inside. i have attempted to hint such developments in my essay on the Mysteries of the Universe and two other manuscripts attached later in the posts.

The approach of Matt as a learned 'layman'is equally important as that of DR. Pitkanin or the one i am suggesting! Let us continue our interactions.

Bookmark and Share

Anonymous wrote on Oct. 23, 2008 @ 05:45 GMT
Dear Matt,

thank you for your response and apologies for my slow responses.

The idea about subjective experienced arrow of time as an artefact is difficult to formulate in the framework of physics. Same applies to the idea that time is illusion which one ends up when one quantizes general relativity using the formalism applicable to Newtonian mechanics based on the notion of absolute time but not to general relativity. We experience time and its arrow and we must explain why!

The restriction of the contents of sensory experience to a narrow time interval is with respect to the proper time of light-cone. In the case of conscious experiencer this time refers by definition to the rest system of experiencer.

You told that you heard bell ringing before it did so. When I still had alarm clock I waked up now and then after having dreamed that it was ringing: real ringing started almost immediately after wake-up. In zero energy ontology the interpretation in terms of signals traveling to geometric past would be one possible explanation. It would also provide a mechanism of precognition and be behind memory recall as communication with geometric past, intentional action (this would explain Libet's findings), and remote metabolism as generation of usable metabolic energy by sending negative energy quanta to the energy storage.

By the way I attach the variant "About the Nature of Time" emphasizing the view about arrow of time as a result of intentional action.

Thanks for an interesting response,


attachments: time.pdf

Bookmark and Share
report post as inappropriate

Anonymous wrote on Oct. 23, 2008 @ 06:10 GMT
Dear Anonymous,

thank you for an interesting response.

I agree that consciousness is something which cannot be reduced to physics as we understand it now. In fact, this is the starting point of TGD inspired theory of consciousness! In my own view about consciousness this view realized in terms of new ontology: consciousness is not a property of physical state. The contents of conscious experience is in quantum jump between physical states recreating the Universe, between two worlds, one might say. Therefore one cannot put consciousness under the microscope and study it.

This means fundamental limitation meaning that theory of consciousness can only say something about structure of conscious experience and identify only its physical correlates, say particular kinds of quantum jumps as correlates of qualia.

There are also other limitations, perhaps the most important being finite measurement resolution which translates to a finite resolution of conscious experience. Usually this limitation is not taken seriously, say in standard quantum measurement theory it is not even mentioned. My own approach to consciousness, which can be seen also as a generalization of quantum measurement theory, takes finite measurement resolution as a fundamental guideline.

Already von Neumann developed beautiful mathematics providing the tools to give to the notion of finite measurement resolution a status of fundamental dynamical principle dictating the laws of quantum physics to a high degree. Category theory, which is now making its way to mathematical physics, makes also explicit the limitations of the mathematician, since it treats mathematical objects as black boxes below the mathematical counterpart of measurement resolution.

I see meditation practices as a direct manner to get rid of the short time scale contributions to the contents of consciousness usually masking the mental images giving information about Universe in longer spatial and time scales. The view about dark matter as a hierarchy of macroscopic quantum phases with arbitrarily large values of Planck constant (something new from the view point of standard physics predicts a hierarchy of consciousness with levels labeled by the increasing value of Planck constant serving as a kind of (spiritual) intelligence quotient. Also biological evolution could be seen as an emergence of new levels in this hierarchy meaning longer time scales of memory and of planned action. Meditation practices would realize this kind of evolution at the level of individual.

Thank you for your response,

Matti Pitkanen

Bookmark and Share
report post as inappropriate

Narendra nath wrote on Oct. 23, 2008 @ 13:17 GMT
Dear Matti Pitkanen,

your response to the anonymous above also provided some response to my posting too. i am happy to see that you realise that consciousness is something that has the power to unleash better and better understanding about the mysteries of the Universe. Total knowledge was bound to be born with the Universe and it lied deposited in cosmic consciousness. What we require is to expand our individual consciousness to have a wider overlap with the former. That is where i indicate the role of meditation cum Yoga techniques. It helps quieten the mind, permit moments of thoughtlessnes or silence within. Such moments are worth possessing in order to derive the maximum out of cosmic consciousness.

Your country provides the ideal scenario for peace and quiet through its natural beauty and climate, as i have myself experienced in a four month stay professionally visiting the University of Helsinki!

Bookmark and Share

Matthew Kolasinski wrote on Oct. 24, 2008 @ 07:47 GMT
Dear Dr.Pitkänen,

a quick note about 'anonymous', there's a tab at the top of the posts where what one has typed in for 'Your name' in the form appears. though the post isn't signed, his name does appear there: Narendra nath. he has an entry here also.

there are a lot of interesting entries here. about time's arrow, one paper by McGucken points out that the fourth dimension in relativity is not time. it actually reads: x4=ict. that's different. we don't seem to actually have a word for what "ict" is. it imparts movement. expansion. it appears that time in this emerges naturally from this expansion. apparently so does light. it's lovely. myself, i have to try to picture this stuff happen, visualize the actual process. it occurs relative to the three primary dimensional vectors of space. it's a bit of an ethereal image for me, still thinking about it, but it seems this could also accommodate a directional tendency.

about dreaming of your alarm clock going off and waking to find the alarm go off, there was a very interesting experiment conducted by Dr. Edwin May, of the Cognitive Sciences Laboratory ( test subjects were fitted with galvanic skin response monitors and a pair of headphones. a random generator provided an occasional stimulus in the form of a moderately loud tone in the headphones. a software program on a computer recorded both the changes in skin conductivity and the tone generated on a graph. typically, you could see the expected normal response spike appear about two seconds after the spike on the graph for the tone first appeared. on occasion, however, the response would appear about two seconds BEFORE the stimulus. this seems to indicate that the body was already responding at least four seconds before the stimulus. this was a modern day revisit of an experiment from the '40s which had employed electric shock for a stimulus (an advantage in that the body never becomes accustomed to electric shock, enabling longer/repetitive testing...) about 60% of the population are apparently hardwired for precognition of some sort. interesting test design - subjects are entirely passive participants - just relax and sit there.

thanks for the PDF, i've saved it. still trying to get the rest of the papers here read.

thank you very much for taking the time to read mine.



Bookmark and Share

Anonymous wrote on Oct. 24, 2008 @ 07:48 GMT
Dear Narendra,

nice to hear that we have common vision about consciousness. Westeners have really a lot to learn about Easteners.

I really believe that cognition is something not localizable to a finite volume of universe. So called p-adic number fields, one for each prime, which are completions of rationals to get continuum, are analogous to reals and for several reasons ideal for description of correlates of cognition. Taking this seriously forces to generalize the notion of number by fusing reals and various p-adic number fields and their algebraic extensions along rationals and common algebraic numbers to form a larger structure.

What is very special about p-adic numbers is that the notion of magnitude is completely different from that for reals: p-adically infinitesimal is literally infinite in real sense. This means that p-adic space-time sheets serving as correlates for thoughts and intentions have literally infinite size in real sense and can be said to ha have size of entire infinite cosmos. Therefore cognition would be literally cosmic phenomenon, not localizable to brain.

Only cognitive representations in the real number based world would allow localization to say brain and would always consist of discrete points corresponding to intersections of real and p-adic space-time sheets. This unavoidable discreteness corresponds in numerical mathematics to unavoidable discretization and use of rational numbers.

Nice to hear that you have visited Helsinki and liked Finland. For years ago I was teaching in Helsinki University but nowadays I am free researcher: it is dangerous for physicist to talk about consciousness! I hope I could some time visit India!

Best Wishes,


Bookmark and Share
report post as inappropriate

Narendra wrote on Oct. 24, 2008 @ 13:37 GMT
Dear Matti,

Our responses are hopefully seen by other authors and general public too. We are equal before the eyes of ' consciousness'. That is why basically, human nature is 'loving'. That is every one of us seeks love from others. Basically, love comes spotaneously provided one is free from bias and ego. One however needs to develop the qualities of compassion and self-sacrifice to get amplification of such feelings.

i like the terms p-adic no. and your explanatatory expansion of the term 'Cognition'. Certainly it is much much more than mere 'observer'.

India is a cheap country to visit and you can plan a trip between November and Febraury when the weather here will be like your summer in North India. South India is mostly tropical and wet throughout.

yes, we have some good spiritual leaders ( not to be confused with religious ones). In fact, old Indian scriptures of our land don't talk of religious matters. It takes of righteous life as meant to be lived by one and all. Even authorship of such scriptures

remained unknown o/c anonymity desired and also because the knowledge was transferred by way of words. In fact, a later holy book known as GITA/ Bhagwatgita clearly states that the religion of a given person is what he/she practices in action and not what he professes to believe in or expresses as the faith!

Bookmark and Share

Narendra Nath wrote on Nov. 2, 2008 @ 17:48 GMT
Through strange citing of a Blog put up by FQXI web prior to this site, preliminary draft of your essay under preparation was put up , requesting comments. i just happen to post my comments there, against your prelim draft essay. Kindly see the same and respond, as these comments are different from what i posted some days back on the formal website of FQXI carrying the finally approved essays. You may respond here or on that earlier site, as convenient>

Bookmark and Share

Narendra nath wrote on Nov. 3, 2008 @ 06:31 GMT

in case you don't locate the older FQXI site, may i repeat what essentially i posted yesterday on that Blog.

i have talked about four states of consciousness, waking, dream, deep sleep and meditation stages. The last category does not exist in biology. It is a kind of wakeful state with physical rest but total awareness. his stage is capable of providing interactions between individual consciousness with

the cosmic one, the storehouse of total knowledge/intellect. Yoga is a kind of meditation that does involve light easy body part movements and the same was founded thousands of years backn in India by Saint Patanjali. The two quotes from the same form a part of own essay in the competition, under holistic remarks!

Consciousness without vibrations is all pervading, permanent and infinitely powerful non-physical entity. The entire visible universe and its contents are manifested by IT through the modulation with frequencies, symbolizing constant motion/change. That is what we all sense with our faculties/instruments. Pure/cosmic consciousness thus remains beyond our reach via the known biological/instrumental sensing devices. In meditation/yoga, the possibilty of interaction exists via silencing the mind and developing the capability of emptiness/silencing of the automatic generation of the train of thoughts.

Now , something about the Topological Geometrodynamics Theory ( TGD) . May i know something about the founding precepts and the concepts you have evolved to simulate consciousness in this development! Can you model different stages of 'consciousness' through some providing dynamics to a geometrical model? How you get the Time relationships and irreversibility introduced into your model?

i have also mentioned about the belief of Prof. Eccles , a Nobel Leaurate Neurologist, who postulates a non-physical covering to exist around the Supplementary Motor Area (SMA) of the human brain. The latter is recording all the interactions the neurons in SMA have due to externally generated activity. He further believes that such a covering does not die with the physical death of the body. This is quite a thought provoking area to work on the interface of Science with Consciousness!

Bookmark and Share

Anonymous wrote on Nov. 5, 2008 @ 21:25 GMT

I am attracted by your use of number theory in your essay. I loved number theory as a youngster and always conrtinued to work on some pet projects. I recently had the odd experience of seeing one of my humble number theory papers cited in a string theory paper!

You have a lot of maths packed into your essay and I think I would have to delve into the huge amount of supporting material that you referenced to understand it. But could you give an overview of the way p-adic numbers enter into the theory? Are you saying that time and space should be charted with p-adic co-ordinates for example? If so that idea would have made a fascinating topic for an essay on the nature of time in its own right. (I too may be guilty of having tried to include too many ideas in my essay)

Bookmark and Share
report post as inappropriate

Lawrence B. Crowell wrote on Dec. 4, 2008 @ 02:08 GMT
Matti: I remember having communications with you some years ago. It looks as if you are still working on M^4xCP^2, and p-adic numbers. p-adic numbers are useful for K-theory topology and winding numbers on Fermi-like surfaces. I am not sure if that makes much contact with your work.

I submitted my entry late. For some reason I thought the deadlines was Dec 31, and last week decided to get an "early start" on this. Much to my consternation the deadline is Dec 1. So I slammed out my essay which outlines one aspect of my work the last 2-3 years. I am pretty much into quantum error correction codes, sporadic and heterotic groups, AdS/CFT dualities and so forth. My paper illustrates some tessellation results which leads to noncommutative geometry and nonassociative transformations between those group actions, and some AdS results. My paper is above in the horde that came in late.


Lawrence B. Crowell

Bookmark and Share

Login or create account to post reply or comment.

Please enter your e-mail address:
Note: Joining the FQXi mailing list does not give you a login account or constitute membership in the organization.