Essay Abstract

The laws of physics model the workings of natural phenomena so nearly comprehensively that the physicists have begun to articulate thoughts in terms of 'Theory of Everything'. Yet, there are certain phenomena, in particular, in the domain of our subjective abilities that make those thoughts possible, and our abilities to have purposeful aims and intentions, remain outside the scientific discourse. It is clear then that in the development of modern scientific thinking, certain properties and perspectives of natural function have remained ignored or unexplored. On the other hand, we may ask, does information have an existential reality? Could it exist without having a physical substratum, such as electronic register holding a bit of information, quantum states holding a qubit of information, and neurons representing the whole gamut of semantics of information? If information is not naturally associated with physical substratum, then could it ever emerge by any mechanism? The answer appears to be in the negative. In this article, it is especially worked out, how information is naturally associated with each state description of physical entities, and how natural information processing takes place at each physical interaction. It is further shown, how a self organizing system may evolve by natural processes such that elements of our thoughts and purposeful goals may emerge.

Author Bio

Gained Ph.D (1991) in (Astro)Physics from Tata Institute of Fundamental Research (TIFR). Worked on two major experiments, one, on-board NASA's space shuttle to study certain characteristics of cosmic rays, and another, on Giant Meterwave Radio Telescope (GMRT) in India. When my interest shifted to understanding how a brain functions, and how 'mental' abilities arise form neural, logical, and computational points of views, I left TIFR to devote full-time. While working privately, I have constructed a theoretical framework of natural information processing, form established empirical studies, and created a simulation to demonstrate the same.

Download Essay PDF File

Dear Luke,

Thanks for your comment, and pointing me to Dempster-Shafer theory.

After you mentioned, I did look up dempster-shafer theory. But, what I describe does not relate with any kind of probability theories. No attempt is made to derive any statistical information. In fact, the attempt is directly the opposite, what information could a state of matter naturally correlate with from its own (first person) historical perspective. Third person perspectives or inferences of external agents are of no consequence here.

I have attempted to ground the realism of association of information with states of physical entities, and then tried to show how information processing naturally takes place at each physical interaction. May I request you to peruse the essay from this perspective. Your comments are always welcome.

Rajiv

Dear Rajiv,

Universe is an i-Sphere and we humans are capable of interpreting it as 4 dimensional dual torus inside a 3-Sphere, which consists of Riemann 2-sphere as Soul as depicted in S=BM^2 diagram in the attached doc. Soul is the simplest of the complex manifolds with in the 3-sphere, Mind and Body constitute the remaining complexity. Soul, Mind and Body are in a toroidal flux in human beings, exactly at the center of the 3-sphere one can experience the unity of the trinity and that is the now moment we experience. As there are 4 dimensions required for a 3-sphere, the regular 3 dimensions of space and the fourth dimension of time, it is obvious that the 2-sphere (Riemann sphere) of consciousness with in us is with out the time dimension and hence the saying "eternal soul". Poincare` conjecture implies that consciousness is homeomorphic (same or similar) in all beings manifested in all dimensions of the universe, as i have shown that Riemann sphere can serve as the fundamental unit of consciousness in There are no goals as such its all play.

Love,

i.Attachment #1: 7_zero__i__infinity.docx

4 days later

Dear Sir,

In the world of increasing fictionalization of physics, your paper stands apart by its logical consistency. You have rightly observed that "An information always conveys a relation, at least with contextual elements". We call all objects "padaartha", for the same reason: a pada - speech form hinting at information about a specific concept and artha - the object having similarity to that concept. Thus, according to Patanjali, all perception has a form: "I know that this (object) is similar to that (a concept experienced by me earlier, which was referred to as '...'). Hence this (object) is that (object signified by that concept". We have discussed Shannon's views in our paper http://fqxi.org/community/forum/topic/1776 during 2013.

When you say: "If an interaction among physical entities results in an observable state S of a physical entity P, then S of P must reciprocally relate (or correlate) with the cause and the context of the transition to the state S. Otherwise, measurements do not have an interpretation relating to the cause", you are right, but it is not a universal statement. All interactions are not reversible or reciprocal. Let us take the example of alpha decay. Even if we try to fuse the decayed particle with the mother nucleus, fusion energy is much more than the fission energy. Hence it is not a purely reversible reaction, though total energy is conserved. For this reason, you have rightly used the word context.

Your description of disjunction and conjunction resembles that of Kanada, as explained by Prashastapada. In our essay here, we have defined 10 dimensions based on these works. Your statement: "information remains non-measurable with physical probes" is generally correct. Our ancients have discussed causality at great lengths. For them, judging from effect, cause can be of nine types. However, cause-effect relationship are of 13 types. 5 of these are related to fundamental particles. If we apply those principles, "the resultant state S must also correlate with them". From this you have rightly concluded that: "Therefore, an observable state S is said to naturally represent the information expressed by disjunction of conjunctions of state descriptions, as well as disjunction of conjunctions of what the states in turn correlated with". Since information is cognition of result of measurement (before cognition, it is data), where all unknown states collapse to take a fixed form, we call it knowledge (प्रभवः सर्वभावानां सत्तामिति विनिश्चयः). Since everything evolves in time continuously, which is nothing but interaction with energy, the role of observer is restricted to observation, which leads to cognition (सर्व जनयति प्राणश्चेतोंऽशून् पुरुषः पृथक्). Thus, you have rightly concluded that "Therefore, information remains non-measurable with physical probes".

In your statement, "specifics of semantic descriptions are expressions of conjunction of values in one or more parametric spaces", "specifics of semantic descriptions" are called "vishesha (विशेष)" and "generalizations" as "saamaany (सामान्य)" by our ancestors. You have rightly concluded that: "Specificity is naturally higher when more independent parametric spaces are added to the list". Thus, existence (सत्ता) is called the ultimate generalization (महासामान्य), as it covers everything.

Your conclusion: "Interacting simple rules of actions of forces lead to diverse and complex

Contexts of interactions, which in turn lead to self-sustaining/reproducing organizations", is the logical conclusion. However, there is rule for increasing sophistication of senses and action to be able to reproduce. The plants have only one primary sensory agency: touch (स्पर्श), which incorporates all other senses in a secondary manner. Thus, plants can feel pain and joy. A cell can sense its internal errors during metabolism. The virus and bacteria (स्वेदज) have two primary sensory agencies: touch (स्पर्श) and taste (а¤°а¤ё). However, the word taste does not capture the full implication of taste (а¤°а¤ё), which indicates the chemical composition. For example, all sugar varieties have a chemical composition like C6H12O6, C11H22O11, etc., which can be written as Cx (H2O)x. According to Ayurveda, sugar (मधुर а¤°а¤ё) is formed by equal combination of solids (पृथिवी - यत् काठिन्यं तत् पृथिवी) and liquids (а¤ња¤І). Since ours is carbon based life, addition of carbon (पृथिवी) and water (а¤ња¤І) in equal proportions becomes sugar and confirm the Ayurvedic formulation. The insects (कीट) have three primary sensory agencies: touch (स्पर्श), taste (а¤°а¤ё) and form (रूप). The animals (चतुष्पद) and those produced from eggs (а¤...ण्डज - birds, snakes, etc) have four primary sensory agencies. They are deficient in one of the sensory agencies. However, they develop extraordinary capability in one of their sensory agencies. Only humans have all five primary sensory agencies in a balanced manner. None of these has extraordinary powers.

You are welcome to visit our essay.

Regards,

basudeba

    Dear Basudeba,

    First thank you for perusing the essay and commenting. I am not well versed with the perspective that you offer, in particular the ancient knowledge, but after you mentioned, I read a bit about such schools of thoughts.

    > "If an interaction among physical entities results in an observable state S of a physical entity P, then S of P must reciprocally relate (or correlate) with the cause and the context of the transition to the state S", ... but it is not a universal statement. All interactions are not reversible or reciprocal.

    No, I did not mean reversible, I meant that the resultant state S must correlate with (or bear) information about the reality of the event that caused it, even when there are multiple possible indistinguishable contexts from the perspective of the resultant state S.

    > "Since information is cognition of result of measurement (before cognition, it is data)".

    In my view the data itself is the information, after all the observed state has a context. Please take a moment and think if an observed state can ever have no correlation with any information, that would mean it appeared from void. When I say information, I mean just that what the observed state correlates with. It is possible then to show that at each interaction, information processing takes place, and it is possible to align interactions in such a way that higher level abstraction takes place.

    By the way, your knowledge is deeper in certain other field, where I cannot comment.

    Rajiv

    Dear Dr. Rajiv K Singh,

    Please excuse me for I have no intention of disparaging in any way any part of your essay.

    I merely wish to point out that "Everything should be made as simple as possible, but not simpler." Albert Einstein (1879 - 1955) Physicist & Nobel Laureate.

    Only nature could produce a reality so simple, a single cell amoeba could deal with it.

    The real Universe must consist only of one unified visible infinite physical surface occurring in one infinite dimension, that am always illuminated by infinite non-surface light.

    A more detailed explanation of natural reality can be found in my essay, SCORE ONE FOR SIMPLICITY. I do hope that you will read my essay and perhaps comment on its merit.

    Joe Fisher, Realist

    Dear Surreal Lord Joe Fisher,

    Please excuse me for having all intentions to issue a disparaging remark about no part of your essay.

    I incorrectly 'wish to implicate', "Things could be as complex as humans, and only a limited mathematical nature has the ability to create complexity even greater, and endow it with an universal language of expression.", to Lord Joe Fisher, still waiting to be a Nobel Laureate.

    Only nature could produce an abstraction as complex as consciousness, that even cellular amoeba could not possess.

    The real Universe must consist only of one unified element called space, which then becomes a source for genesis of all elements, and a ground for uniformity of all interactions, giving rise to emergent notions of time, energy, and self.

    An infinitely detailed explanation of natural reality can be found in his Lordship's essay, SCORE ONE FOR SIMPLICITY. Yet, I do hope that I will not read his essay until he reads each word of 'The Language of Nature', and expresses himself in a manner that exhibits a proper understanding.

    In response to surrealism,

    A naturalist.

    Dear Dr. Rajiv K Singh,

    Thank you for confirming that Only nature could produce a reality so simple, a single cell amoeba could deal with it, and that the real Universe must consist only of one unified visible infinite physical surface occurring in one infinite dimension, that am always illuminated by infinite non-surface light.

    Do you honestly think that foolishly calling me silly names will alter these facts?

    Joe Fisher, Realist

    Nice essay Dr Rajiv K Singh,

    Your ideas and thinking are excellent on neural networks. I don't know much about them, I learned a lot today, very good.

    Your words in the appendix ..... "If the description of Nature, as defined by classical physics, and as supported by mathematical expressions with analog functions were to be true and exact, then the states could be described with infinite precision and interactions would have evolved via all intermediate states" are very good.

    For a similar thinking Dynamic Universe model is totally based on experimental results. Here in Dynamic Universe Model Space is Space and time is time in cosmology level or in any level. In the classical general relativity, space and time are convertible in to each other.

    Many papers and books on Dynamic Universe Model were published by the author on unsolved problems of present day Physics, for example 'Absolute Rest frame of reference is not necessary' (1994) , 'Multiple bending of light ray can create many images for one Galaxy: in our dynamic universe', About "SITA" simulations, 'Missing mass in Galaxy is NOT required', "New mathematics tensors without Differential and Integral equations", "Information, Reality and Relics of Cosmic Microwave Background", "Dynamic Universe Model explains the Discrepancies of Very-Long-Baseline Interferometry Observations.", in 2015 'Explaining Formation of Astronomical Jets Using Dynamic Universe Model, 'Explaining Pioneer anomaly', 'Explaining Near luminal velocities in Astronomical jets', 'Observation of super luminal neutrinos', 'Process of quenching in Galaxies due to formation of hole at the center of Galaxy, as its central densemass dries up', "Dynamic Universe Model Predicts the Trajectory of New Horizons Satellite Going to Pluto" etc., are some more papers from the Dynamic Universe model. Four Books also were published. Book1 shows Dynamic Universe Model is singularity free and body to collision free, Book 2, and Book 3 are explanation of equations of Dynamic Universe model. Book 4 deals about prediction and finding of Blue shifted Galaxies in the universe.

    With axioms like... No Isotropy; No Homogeneity; No Space-time continuum; Non-uniform density of matter(Universe is lumpy); No singularities; No collisions between bodies; No Blackholes; No warm holes; No Bigbang; No repulsion between distant Galaxies; Non-empty Universe; No imaginary or negative time axis; No imaginary X, Y, Z axes; No differential and Integral Equations mathematically; No General Relativity and Model does not reduce to General Relativity on any condition; No Creation of matter like Bigbang or steady-state models; No many mini Bigbangs; No Missing Mass; No Dark matter; No Dark energy; No Bigbang generated CMB detected; No Multi-verses etc.

    Many predictions of Dynamic Universe Model came true, like Blue shifted Galaxies and no dark matter. Dynamic Universe Model gave many results otherwise difficult to explain

    Have a look at my essay on Dynamic Universe Model and its blog also where all my books and papers are available for free downloading...

    http://vaksdynamicuniversemodel.blogspot.in/

    Best wishes to your essay.

    For your blessings please................

    =snp. gupta

    4 days later

    Dear Rajiv K Singh,

    Thanks for an interesting essay, and for your response to my essay.

    You begin by saying "information must have reality of its own, otherwise it cannot be created."

    Many today speak of information as if it were a type of particle. I do not believe this. Energy flows between systems, and if the energy causes a structural change (ink on paper, electronic gate switching, photon exciting retina, etc.) then information is "created" or "written" or "recorded" or "registered". But it is meaningless unless there is a codebook or interpretation; "One if by land, two if by sea" has a historical context, without which it is meaningless words. So you are correct that information always conveys a relation, at least with contextual elements, i.e., semantics or 'meaning'. In physics this meaning is provided by models or theories through which experiments are interpreted.

    In your argon experiment you say "each of these electrons individually carries information". Yes, in the context of our theory. In actuality all the electron carries is energy/momentum. So I'm unsure when you say 'nature is expected to pick such a language to build layers of description...". Nature does what nature does, interacting with itself perpetually. We through our models provide the language. That this is possible, verges on miraculous, but we should simply give thanks and employ it.

    If I understand your use of 'conjunction' and 'disjunction', you're defining logical operations for processing conditions. As all possible logic is derivable from AND and NOT gates, I assume you can map these into such if needed to. You note that "the simplicity of information processing makes it much more likely to occur in self-organized systems." I agree. You then find it reasonable that this leads to self-sustaining organization. I also agree, at least I agree that it increases the odds of such happening.

    Then you say "it is apparent that more an organism learned about processes and its environment, more it could develop action pathways to meet its own needs." I still agree. In essence, the codebook or interpretational repertoire is growing, allowing the system to handle an increasing number of contingencies. But then you take the big step! You say this creates a specification-free-want, which I interpret to mean an aim, intention, or goal. I do not believe this follows. You are suddenly assigning conscious qualities to what is simply a very sophisticated physical system driven by the flow of energy/momentum. This is essentially the basis of the Darwinian Credo that increasing complexity leads to awareness. That is an assumption, and one that I do not make, or find credible.

    Thus, since you apparently do make this assumption, you claim that no consciousness field is needed for awareness. As I've said several times, "you pays your money and you takes your choice".

    My best regards

    Edwin Eugene Klingman

      Dear Edwin,

      Thank you very very much for perusing my essay, and offering your views on it. Thank you again for striking on one of the most important contentions of mine that 'information must have a reality of its own'. Yes indeed, I too do not mean it to be something like a particle. I do take it though, as an associated property with a physical entity, almost like charge or mass, but without a physical means to probe it.

      I do agree that a specific information gets created with interaction. The realism of information can be seen in several ways. As you may have noted, "If an interaction among physical entities results in an observable state S, then S must correlate with the cause and the context of the transition to the state S." Can we deny this correlation? And, the state S correlates with what, 'a piece of information (relation)' about the context of the interaction under natural causation, what ever that may be. It does not require a language. In fact, if the state S did not correlate with this information, we could not interpret it by any means. A 'no correlation' would mean that state S appeared from no where (a void), without any causal connection. Natural causation is the source of this information, whether or not an interpreter exists.

      Now, let us bring in an interpreter like us to derive an information from the observation of state S, which would constitute a third person perspective. We use our mental faculty along with the prior knowledge (model) of the universal phenomena. Could the mental faculty have an existence, if the elements of the brain (neurons) could not 'represent' or correlate with information? That is, even before any application of any model happens, the neurons represent information. We just cannot take away the fact that these elements were doing information processing even before any model or language emerged to articulate the information in certain framework. Taking your example forward, "One if by land...", not only the whole construct required a history, even each word of it cannot have a meaning unless brain represented their correlation with elements of prior observations. I am taking it to the level that a visual grapheme of word 'land' or the aural utterance of the same have connection with correlated information, otherwise even the term 'land' is meaningless. All I am saying is that information, and the method of processing existed even before we gained our faculty of interpretation.

      IMHO, can we observe a state that does not correlate with any information? If not, then we would have to accept that information has a reality of its own (I am not talking about any particular information, e.g. while talking about 'mass' one does not talk about a particular value of mass).

      Now, all I am saying is that this is the missing element that has kept the humanity from understanding the genesis of 'mind'.

      Since you have taken time to comment on a few elements, therefore, allow me to do justice to your effort. You inquired,"If I understand your use of 'conjunction' and 'disjunction', you're defining logical operations for processing conditions." Certainly, their direct operands are conditions of positive, negative, and null correlation, but these operands refer to the correlation with absolutely arbitrary semantics, discrete, non-discrete, simple, complex, or abstract. A generic object can be defined in terms of components, their inter-relations, or even the relation of the whole object with others within a system. By having independent positive, negative, and null correlation with each of these elements any object (semantics, relation, process) can be fully defined (constructed). I am sure, you have also noticed the process of emergence of abstraction, which has no limits whatsoever. Take any semantics (object) and see if its construction can be entirely mapped with these correlation values. I am saying that this is what creates a natural language of processing, that takes place at each interaction of physical entities. Then, all that is needed is to organize a system that carries out appropriate correlation processing to give rise to arbitrarily high level semantics.

      "But then you take the big step! You say this creates a specification-free-want, which I interpret to mean an aim, intention, or goal." Yes, you are right, if I made this statement without a prior emergence of a 'want' in terms of hard coded requirement of a highly abstract semantics at a high level of emergence, it would indeed mean a leap. I am sure, we all must have felt the pinch of 25,000 characters limit, but may I request you to revisit the section, "Directed Aims and Intentions", and if you still feel, this statement is unwarranted. I would appreciate that very very much.

      Separately, I wish to bring your attention to the following points. (1) Does not this disjunction of conjunction of correlation values map directly to the neural organization, that seems to be doing precisely this? (2) We all have hit the wall with respect to the emergence of 'mental states', but does not this information processing mechanism leading to limitless abstraction and complexity appear to be leading us to the highly abstract notions, relevant for the mental states? (3) May be the attention of the scientific community has been taken away by two very deep notions, that information is the outcome of an act of modeling by an intelligent interpreter, and the information is relevant only in the quantitative sense as per Shannon, and that it is always coded in discrete and digital form.

      I welcome your comments, and if you gave more of your valuable time, we could take it forward.

      With best regards,

      Rajiv

      All thoughts and information could be mapped in some "idea" space. This mapping is similar to Hilbert space in quantum mechanics, where each physical property is a ray in complex space. The details of this "idea" space (course code?) are not given, so this could be complex space or something different. This is a time-independent system "the terms 'causal' and 'causality', as used here, bear no presumption of temporal order." Effects do not occur before causes, so somehow this temporal relationship must be set-up outside of this "idea" space. Once a proper matrix of information is set up then a solution is some best-fit vector in this space. Learning would be a better-fit vector (unless the attempted vector somehow changes the matrix "learning" would seem to be impossible). Yes, I can see this as a model for bacterium living in certain zone between "attractors" and "repulsion" and this could also be a model for a neural net. We should not assume that this is a model for all possible state just because it includes the simplest and the most complex.

      I think this might be a good model for emotions. First, there is a valid evolutionary need for emotions. Anger, sadness, fear, happiness and other emotion change the behavior of an animal in (mostly) useful ways to help conform to conditions. Sad because of a lack of food will slow an animal down to conserve resources, as an example. Emotional state is due to a complex mixture of many factors.

      I must note that this essay is not an easy read. The author's wish to start general and stay general with few examples does not help the reader. Figure 3 with actual size and angular size made me confused until realized the relation to Hilbert space. I read this essay a number of times and I am sure I am still not clear about a number of ideas presented here.

      Hope you do well in the contest,

      Jef

        Dear Jeff,

        Many writers here have taken a position that complete description of nature is not entirely derivable from mathematics alone. Mine happens to be one of them. In contrast to other essays that base their arguments on emergence of novel properties without having to derive how emergence actually takes place, my essay goes beyond that to actually show the steps. I am sorry that things did not make sense to you. But then ...

        >> This is a time-independent system "the terms 'causal' and 'causality', as used here, bear no presumption of temporal order." Effects do not occur before causes, so somehow this temporal relationship must be set-up outside of this "idea" space.

        First, I am not sure whether "This is time-independent system" applies to your own essay or mine, since you described part of your own essay first. Second, "the terms 'causal' and 'causality', as used here, bear no presumption of temporal order", only means that the development in my essay is independent of temporal order. If nature is strictly cause first in time and then effect, my description would stand true, and if it is not so as certain results in quantum physics show then also it stands. So, I really do not understand why the objection ?!!!

        Fig.3 is an example of how direct mapping provides a solution, even without a need for mathematics. Noteworthy point is the fact that this directly maps to the way neurons connect, substantiating the method described in the essay.

        When I do not understand an essay, then either I do not judge, or I first write comments with examples with complete context (not picking a statement out of the context) what I did not understand, so that the author has an opportunity to respond and elaborate. And if from the response also I could not make complete sense, I presume that author has an approach that I am not fit to judge.

        I see that you have also made a similar appeal --

        "To whom it may concern, My essay might deserve a "1" and "2", but I would like some explanation as to why my essay scored so low. If my essay is just poorly written then just say that. If you disagree with some point I made, let me try to defend my work. -- Sincerely, Jeff"

        I generally want to be doubly sure before judging, since I might simply influence the outcome without even understanding the full implication of the essay. Most new ideas are difficult to understand at first because of our own a priori knowledge (bias). Among the many that I read, I chose not to judge quite a few. Being in a position to judge confers a responsibility that we must exercise only with great care!

        Rajiv

        Rajiv,

        I have not yet ranked your essay. None of what I said was from my essay, I was trying to restate your essay in my own words. I am not trying to judge your essay, just understand it.

        Some essays are for a general readership and others are not. Your essay (we can both agree) is not for a general readership.

        Quantum physics never violates causality.

        In figure 3, what does angular size mean? I thought this was some angle in some "idea" space. You talk about p and not p being similar to being at right angles. Can physical entities be at less (or greater) than right angles to each others? Is this that angular size?

        In nature, understanding the relationship between cause and effect is very important. How would you relate cause to effect in your system?

        You talk about oxidation and fermentation for two different types of bacteria. Can you show a case where one type of bacteria makes a choice between two different pathways?

        Sorry for the misunderstanding,

        Jeff

        Dear Jeff,

        Thanks for clarifying, I appreciate that (your comment and rating happened around the same time). By all means, you must raise doubts, and it is my job to attempt to satisfy, or in due course may fail.

        I see that you have put forward a notion of 'idea space' that you assert maps onto Hilbert Space. But I attempt to present a case that information is naturally associated with states of matter; if it was not so, then no measurement would yield any information, and no one can interpret or draw any inference from measurements. Each interaction then must account for some information exchange amounting to information processing. Then how should one arrange interactions such that higher level complexity and abstraction can be represented by states of matter. As you may have noted, I said that states interact, not the represented information by the states; therefore, information can not be directly measured, it would remain subjective. Moreover, if you notice, all interactions can be expressed as conjunction of states, including contextual states, such as force fields, position, time, energy etc. So, the resultant state also must represent conjunction of information represented by such states. But then, as it appears, there is not only one set of possible state descriptions that may cause a particular transition in the state of a physical entity (may be an observing device), so, the information represented by the resultant state of observing entity also must be disjunction of all possible conjunctions of information represented by the state descriptions.

        This turns out to be very potent mechanism of information processing, as I go about explaining how modular and hierarchical structure may capture such a processing mechanism. In fact, it is remarkable that neurons seem to be doing exactly that. I used disjunction method to show the emergence of abstract value of 'right angle' from the specific instances of right angle. An abstract semantics of 'right angle' is orientation and placement independent notion, as we understand when we think of the term 'right angle' in our mathematical description without associating with any orientation and placement. In contrast, the specific instance of right angle, is when you see a particular drawing, such as one line at 30 deg, and another at 120 deg from x-axis. All I am trying to say here is that this disjunction turns out to be exceedingly potent in creating abstractions of all semantics that we normally associate with our minds.

        Separately, I also show that the universe must be indeterminate within limits. The method that I describe can deal with such indeterminism but mathematics cannot. Therefore, very humbly I state that I am not demanding that the method of processing (disjunction of conjunctions) as detailed here must map to Hilbert Space. In fact, it may not map to any established mathematical methods entirely.

        Please also note that we have no idea how 'mental thoughts and senses' occur, and if there exists a mechanism that seems to lead us to that, then we must evaluate that seriously and critically.

        So, abstract notion of 'right angle' is not similar to 'p or not p', but it is similar to 'right angle at location x1' or 'right angle at location x2', or ... 'right angnle at time t1 or t2 or t3 ...', or 'right anlge with one line orientead at a1, or a2, or a3'... I mean, disjunction of all possible instances is the abstract notion of 'right angle'.

        In Fig.3, angular size is the angle subtended by an object on the observer (device, an eye for example). Simple multiplication of angular size and distance of an object gives the actual size of the object. This is only meant to demonstrate the method of mapping.

        Cause and effect: We always understood the meaning of cause that occurs before which forms the entire reason for the effect. But some recent experiments in QM [Kaiser et al., Science 2012, vol~338, page-637] show that a future event may also effect the result in the past. So, I simply wished to declare that 'disjunction of conjunction of states' does not depend on any particular order. If the future events effect result in the past, then the observed state in the present would also correlate with the information about events in the future by virtue of natural causation.

        Bacteria example can be seen from the expt. by Tso and Adler as cited in my essay [8].

        Thanks for asking.

        Rajiv