Essay Abstract

The question of aims and intention, how can mindless mathematical laws give rise to them? Is one facet of a most pervasive topic of our time. The discussions relating the complexity and fine tuning problem. Some might wonder if I exaggerate, and to them I suggest looking at the following topics, and realize their themes are entirely motivated by the apparent and unexplained complexity of the world. These topics being prominent in the minds of people, evidences the complexity and fine tuning problem is a most pressing issue confronting our universal awareness. No matter we try, it will not find explanation in absence of a natural organisation principle.

Author Bio

An attentive student of nature

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I wrote about how emergence of aims and intention in the universe, is basically just an aspect of the complexity problem facing our physical understanding. So I presented an explanation for universal complexities within a Darwinian context, that gives meaningful purpose to the structures observed in this universe. In doing this, the complexity problem is resolved.

In short, it explains that Auv is a regenerative field of space, from which Tuv photons came to emerge for evolutionary progressive reasons. The purpose of photons is to consume Auv, to allow Auv to regenerate, which is useful within a Darwinian context. So Auv field and Tuv photons have compounded complexity while entwined on a symbiotic Co-evolutionary relationship. Matter is just highly evolved structured photons, which are optimized for this purpose of existence. The properties and structures of atoms, planets, stars, galaxies, are optimized in terms of being spread out across space for example, to make for an efficient interaction between space and matter. In this respect the material universe exists to gravitate, and the energy which transfers from Auv to Tuv through the gravitation process, is what enables photons to perform energetic work within these evolved structures of matter. Mass owes its work function to photons, and this is the very simple reason the energy content of mass corresponds to photon velocity C. Infact every action the material universe is capable of engaging in, is mediated by photons. Or put another way, photons are the universes only way of imparting force on anything at all. A profound truth which indicates all physical measures will be derivable from photon velocity, and its sub units of length and duration. Allowing unified physical description.

Steven Andresen

    5 days later

    Steven -

    I thoroughly enjoyed your essay, and your effort to ascribe Darwinian principles to our cosmic origins. I take a slightly different approach, discussing the feature of dynamic systems to evolve to specific pointer states (attractors). (This contrasts with the Multi-Verse hypothesis that simply assumes that all possible universes emerge.)

    Good luck! - George Gantz

      Dear Steven Andresen,

      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

      Hi george

      Thank you for the kind words. Much appreciated. I'm on a camp trip right now but will have a look at your essay when I return home.

      Good luck with your essay and look forward to reading it

      Steve

      Nice essay Andresen,

      Your ideas and thinking are excellent for eg...

      What is the multiverse hypothesis, beyond attempt to explain the unlikely universal circumstances that enabled life to emerge? The answer is, it has proven to be not much more than. It is a mathematical trick of infinities, that makes inevitabilities of the most unlikely. A fascinating possibility and discussion I will not contest, but don't you think an extreme measure to invent numberless universes, to place an evidence-less band aid over our incomplete universal comprehensions.

      The question of the emergence of goals and intentions, for the most part is not a question of how biology achieved it, but rather how a non-biological universal order and structure, achieve biology?

      A Good idea, I fully agree with you............

      ..................... At this point I want you to ask you to please have a look at my essay, where ...............reproduction of Galaxies in the Universe is described. Dynamic Universe Model is another mathematical model for Universe. Its mathematics show that the movement of masses will be having a purpose or goal, Different Galaxies will be born and die (quench) etc...just have a look at my essay... "Distances, Locations, Ages and Reproduction of Galaxies in our Dynamic Universe" where UGF (Universal Gravitational force) acting on each and every mass, will create a direction and purpose of movement.....

      I think intension is inherited from Universe itself to all Biological systems

      For your information 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

      Hi Steven,

      I have printed off your essay and will be reading it this weekend. The rating system can be a minefield. I will be keeping track of my rating for each essay I read. However, I will not be posting them until the last few minutes of the contest. I want them to count for something other than target practice by those who abuse the system. I do comment, if I have a comment, near the time that I read an essay. I expect to be back here talking with you. I already know that your deductive skills are very good. Good luck!

      James Putnam

        James

        Hay its great to see people engaging your essay with so much positivity and support. I'm half way through reading it, then will read it again to let its message soak in a little, then I'll post remark to your page. But yes, what I have read is very good. My days have been filled with camping and surfing, so I havent had a look through many other essays yet, but the couple that I have read are very good.

        I'm going to be following your lead on how to conduct my voting. Based on what I have read of your essay so far, and from actually knowing your wider scope of work quite well, I feel safe in saying you can expect a boost from me in the final minutes.

        I like yourself, left it very late to begin working on my essay. Infact I ran out of time while I feel I could have spent another week refining it. Actually I didnt even sort out the basics, like grammar and spelling, so thats pretty bad. Oh well. Thank you for your vote of confidence. I think it safe to say that my concept will be a test for anybodies sensibilities. But I think this will have more to do with peoples general reaction to unfamiliar concepts, than it will be a reflection on the soundness of the ideas. But it will take somebody with a right mindset and willingness to pry back the lid and view the inner contents, to see it represents a cohesive theory. That it actually works in a sensible and straightforward manor.

        While you are reading my essay James, may I give you something else to keep in mind? My concept achieves something quite interesting. When we humans build a mechanical device to undertake work, we have to provide it with fuel of some type. We need so many liters of fuel to drive a car so far, and so fuel requirement is an ever expansive sum over time. However, our physics has anointed things called "fundamental forces" which can undertake perpetual work without requiring an energy source as an expanding sum over time. Gravity, mass and also an atoms electromagnetic field are examples I give of seemingly perpetual work being undertaken by this universe. Ok, pretty basic consideration. Now consider it in light of my essay proposition please?

        If Auv (Dark Energy) corresponds to a regenerative field of space, which is metabolized by Tuv mass in a process which enables mass to perform work actions. Well, mass is what actuates gravitational acceleration, and is also the seat of an atoms electromagnetic field. So then we can say there is a continual energy consumption responsible for gravity and atomic work actions. This makes perfect sense in terms of Auv = Tuv.

        Of course we then have to ask ourselves, how does Dark Energy achieve the magic of continual emergence? And I dont know, but it is a confirmed observation that it is, that it does. So this counts as no small piece of evidence toward my hypothesis.

        The interaction between space and matter, Gravitational fields and mass sharing equality Guv = Tuv. Why equality? Because its a continual energy flow that enables mass. This is a very simple proposition, and the evidence lines up everywhere that it needs too. This concept pursued leads to an ever expanding range of considerations which only lend weight towards the argument. A good deal of hows and whys are answered that would not have been expected.

        What I say here now cannot be considered unsubstantial or whimsical. It stacks up in so many different ways, against so many different considerations. If people are willing to test this idea, then they will discover it is as I say. And thinking in terms of Auv being a regenerative field of space which flows to mass, brings with it the consideration of a Darwinian Universal system of compounded physical complexities.

        Steven

        James

        I would have you ask yourself the question, from where does a photon derive its capacity for imparting force? Why and how does a photon undertake motion?

        They seam unfair questions, except that my hypothesis makes a simple sense of them.

        Steve

        James

        Oh yeah, and also keeping in mind that intriguing conversation you and I have partaken in. Variable C equating to a variable baryon mass. Gluons being photons that share the same variable C potential that normal photons do, depending on the galaxies gravitation potential. not only an interesting idea, but also one that delivers a seemingly appropriate formula for solving anomalous galaxy motions. This is all part of the same conversation you and I had earlier, however I havent explained all of my reasoning before now, how I came to share a similar outlook to you. Different in many ways, but similar in many respects.

        My hope is that some of what has been shared between us earlier, will encourage you to follow up on what I share in my essay now. It isnt like my theory delves in obscurities like added dimensions, or some other intangible. My concept is very simple in this respect, that I point to two equality's and say, "consider the possibility this equality exists because energy flows from A to B". And that it is a simplest type of relationship, a conversion from work potential into work. The mechanics of this idea couldn't be simpler.

        Steve

        5 days later

        Hi Steven,

        "My hope is that some of what has been shared between us earlier, will encourage you to follow up on what I share in my essay now."

        That I still need to do. I was studying it, but, my exchanges with Steve Agnew began to take up my time. That seems to be subsiding without resolution. You might find that you agree with this statement: Resolution is not a consequence of what takes place here at FQXi.org. But, so that I am understood by any readers: FQXi.org does provide a quality record of who said what when? If resolution comes about that will help as a reference wherever it turns out that resolution is possible. I haven't found that place yet. Theoretical physics protects itself not only from dissidents, but also from any outside source that might present the solutions that they have failed to provide. I don't expect any of them to be reading this.

        "It isnt like my theory delves in obscurities like added dimensions, or some other intangible."

        Definitely a plus in your favor.

        "My concept is very simple in this respect, that I point to two equality's and say, "consider the possibility this equality exists because energy flows from A to B"."

        Here is where I hesitate to agree. The reason is that energy is not a property. It is a calculation of force times distance with the resulting sum being what is called energy. Theoretical physicists will vehemently object to my statement. That is because energy is what replaces cause. Cause never appears in physics equationss. The right side of an equation consists of initial conditions while the left side of an equation consists of final conditions. The only place in an equation that cause can make its appearance without being part of the right side or the left side is as the equals sign. The equals sign is usually read as the magnitude and units of the right side equal the magnitude and units of the left side. However, my opinion is that it can also be read as the conditions of the right side of the equation are changed into the conditions of the left side of the equation. In other words, cause is represented by the equals sign. I am suggesting that the equals sign can be read as "is changed into". So, my opinion is that: It always remains the case that we only learn about effects and not about what is cause. We compare initial effects that have been previously gathered as empirical evidence with another set of effects that we gather after an experiment has been performed. We see their change. We find that the conservation laws provide that their magnitudes and units will be equal. However, it is obvious that the effects have changed. The cause of that change is unknown. At least it is unknown as a certainty. We are free to propose what the cause may be.

        "And that it is a simplest type of relationship, a conversion from work potential into work."

        Your last statement quoted above is the most like physics freed from theory. work has the same units as does energy. However, it differs in that its result is useful. Make that 'purposeful'. Work, just like energy, is force applied across a distance. However, when one refers to 'work', the magic that theorists imagine that energy, like a wizard, can perform to change the Universe from particle creation and chaos to human free-will, is not implied. Rather, the use of the word work acknowledges that there are effects, and, there must be cause, but, without trying to claim that a dumb mechanical process is as good as a wizard. The most that can be said about cause is what it does. So, setting the wizard aside: Saying that work is performed is as far as the mechanical interpretation of physics will allow us to go. Theoretical physics thrives on the pretense that the wizard exists, not as a God of course, but as energy. It is the greatest fraud of theoretical physics to teach that intelligence can arise from dumbness. I expect that we probably disagree on this point. Disagreement and discussion is good. My exchanges with professionals may not make it appear that I feel this way. It is their demeaning attitude all the while that they lack several important answers that causes me to challenge them back. You are welcome to challenge me back. I don't have all the answers. If I mixed up right from left in my earlier part of this message it is because I am left handed. Please read my intent as speaking about an initial side of an equation becoming a final side of an equation. I won't go back and check it.

        I will return to talk about how a photon imparts force.

        James Putnam

        James

        I find what you have said in response to my questions to be quite interesting, and I am familiar with these opinions and ideas of yours from reading your work and from our earlier discussions. However you haven't responded to my question, that even if it is poorly framed, the meaning of which is easily inferred.

        "My concept is very simple in this respect, that I point to two equality's Auv and Tuv and say, "consider the possibility this equality exists because the capacity for work is transferred from A to B?"

        Tuv being photon work which is perpetuated by an emergent field of space Auv. A field which photons metabolize to enable their capacity for motion and or work?

        I understand something of your related ideas, the light field etc. So a tailored question for you might be, what causes photons to slow as they approach a gravitating body? And maybe extended too, what causes photon motion in the first place? I asked you this question some time ago, and your response was that sometimes prior cause is not required. But I'm asking you to reconsider this in light of the notion of the above Auv = Tuv, if you will please?

        Steven

        Steven,

        "So a tailored question for you might be, what causes photons to slow as they approach a gravitating body? And maybe extended too, what causes photon motion in the first place? I asked you this question some time ago, and your response was that sometimes prior cause is not required

        Very good message. This part I don't recall: "Your response was that sometimes prior cause is not required." It doesn't sound familiar to me. I am not clear on what that meant. I try to respond tomorrow.

        James Putnam

        James

        I have been thinking along lines of an analogy which might be helpful.

        My vision of the universal process Auv = Tuv, would be somewhat analogous of a battery with capacitance, an electrical circuit, and loading.

        The Dark Energy observation would correspond to a field of space for which the Universe manages to leverage the full volume of space, to continually raise an energy capacitance Auv. In this respect the Universe might be considered analogous to a rechargeable battery.

        Traditionally our batteries are connected to points of load via wires, however in the case of Auv = Tuv, every point of space could be a potential sight of discharge or load. So space itself being circuited.

        Photons place a load on the capacitance of space, in much the same respect that a light bulb places load on a battery's capacitance. Photon velocity depending on the relative capacitance of space, corresponding to gravitational potentials. This gives a variable value C which corresponds to you're light field theory.

        All Universal bodies Tuv sit within this universal circuit (space) drawing on the relative capacitance of Auv. In this respect all universal bodies Tuv plugged into the universal circuit Auv, are as light bulbs circuited in series. Light bulbs in series have lower voltage across their individual filaments than a single bulb, because of their shared loading, and therefore are collectively dimmer. An analogous effect is respectable for anomalous galaxy motions. Mass being a manifestation of photon C work capacity, it's value is dependent on the local capacitance of Auv. Crowding masses close together places a collective load on the local capacitance of Auv, which accounts for a lower value for C as crowding increases, and therefore a variable baryon mass is resulted. The exterior of Galaxies experience a higher Auv capacitance and therefore baryons have greater mass, and relative baryon mass declines as you move toward galaxy interior, as Auv capacitance declines.

        I understand how cockamamie that might sound. But I deliver this idea within the wider context of a Darwinian theory, which needs to be taken into account. It gives me the ability to fashion a detailed coherent explanation, with specific reasons for why the universe came to be as we observe it to be. I have expressed some of these explanations within my essay, however my thinking on the subject is far more extensive than those. My further thinking on the subject is waiting for a conducive discussion that I expect will happen at some time or another, with the right person or persons. But I surf in white pointer shark infested waters all the time, so if those people dont hurry up and realize the potential of this idea, I might be robbed of the chance of sharing it personally. Robbed because imagination and skills of deduction are rare. Not aimed at you

        Steve

        Steve Andresen,

        I don't learn from analogies as well as I do from direct descriptions. I am always looking for seeing the real thing. Analogies are always about something else. I am held back sometimes from responding promptly because I have difficulty with your terminology. An example: "Mass being a manifestation of photon C work capacity, ... " I am not saying that your thought is wrong. I have to do some 'work' to understand it. You provide enough information, but, I need to read all of it more than once. Actually, I have an immediate interest in your message about the weight load variation of a rotating rod. What I want to know, because I want to help, is: Do you know how to take a derivative of a function and also how to integrate a function? I think that the derivative idea applies to your rotating rod. I can write a response that may be helpful if I know that you know what a derivative is in Calculus. If you do not, then I can help better and more quickly than others can. If you know Calculus, then please excuse my message as my failing to see this in your messages.

        James Putnam

        Dear Steve,

        I read with great interest your deep analytical essay executed in the spirit of deep Carthusian doubt with ideas and conclusions that will help us overcome the crisis of understanding in fundamental science through the creation of a new comprehensive picture of the world, uniform for physicists, lyricists, poets and musicians filled with meanings of the "LifeWorld" (E.Husserl).

        I believe that the modern "crisis of understanding" (K.V.Kopeykin "Souls "of atoms and "atoms"of the soul: Wolfgang Ernst Pauli, Carl Gustav Jung and the "three great problems of physics"), «trouble with physics (Lee Smolin," The Trouble with Physics: The Rise of String Theory, the Fall of a Science, and What Comes Next") is the deep meta-physical crisis, the deep crisis of the ontological foundations of knowledge.

        FQXI Contests are first of all new ideas. You give such ideas. I give my highest rating.

        I believe, that only extremely constructive ontology, and the global "brain storm" with the most in-depth analysis of all the accumulated knowledge will help us to overcome the crisis of understanding, crisis of interpretation and representation: "An educated people without a metaphysics is like a richly decorated temple without a holy of holies." (G.W.F.Hegel)

        I invite you to read my ontological ideas .

        Best regards,

        Vladimir

          James

          You said

          "I am held back sometimes from responding promptly because I have difficulty with your terminology. An example: "Mass being a manifestation of photon C work capacity

          Haha yes I do understand. I do make effort towards prose, but not always, and not always well. Sometimes I just resort to short hand expressions, multiple meanings strung together without adequate reference for my reader. Sorry about this. In the case of the above example, I refer to my notion that mass is a work function based on photon velocity. Its ability to perform work equals velocity C. But I realize this is not the only confusing aspect of my expression. It has to be said though, that although you are far better at prose than myself, I sometimes also have to read your expressions a couple of times to let its message sink in, to become accustom to your approach. But a very worthwhile exercise it is indeed. I suspect this is somewhat inevitable when new concepts are invented.

          I'm glad my observation relating a poles weight transition in a gravitational field, takes your interest. I have some material which will simplify your considerations on the subject, a couple of illustrations, graphs etc. I will have to prepare these for you, so please hold on a bit. Its a very straight forward observation isnt it? I'm a little staggered this hasnt been noted before now, and that the few times I have presented it to forum communities over the last couple of years didnt eventuate in constructive conversation. A tough crowd that isnt accustomed to taking fresh evidences back to the basic considerations. So tangled up in the confusions, and dont know when to retreat back to the beginning and start the puzzle fresh.

          I have not fully ratified this quantum puzzle, because my understanding of the methods for testing Bells Inequality are limited. However, I have advanced my thinking far enough to know that this prescribes a very interesting dynamic which looks like a possible puzzle fit. A dynamic which decodes the anomalous quantum results, revealing the entirely causal mechanics behind the scenes. Put simply, the orientation of the two polarization filters in relation of each other, is an important detail in revealing the correlation of the quantum system, photons. If you change the orientation of the filters, then the shifting correlations observed of the photons, does not track linearly.

          Heres another way to put it. If you can account an entirely causal interaction that makes sense of the individual photons behaviors, giving the observed probability curve. Then the correlations then observed between a second photon and its filter, becomes a purely incidental correlation. The magic disappears.

          You asked me

          "Do you know how to take a derivative of a function and also how to integrate a function?"

          My mathematical ability is very informal. I am not schooled in the terminologies nor advanced formula building. But I think if you describe your meanings, I will take an understanding from you.

          Steve

          Dear Vladimir

          Thank you kindly. I am delighted to receive such a message and rating, an appreciation for new ideas. And I also very much enjoyed the links you provided. I have begun reading your essay and am up to page five, and it has to be said that I understand why you were able to tune into my concept and appreciate its merit. I think that you like I, are undertaking a personal quest to learn the nature of things. The universe is a single physical process, everything in existence related within one scope. Furthermore its explanation needs to be of a natural process, which makes articulated sense of the structures and complexities observed of the natural world, without having a sense of being a forced explanation. People seem to have a hard time recognizing that the nature of the complexity of this world requires an organisational principle. So it is very pleasing to meet people like yourself who are focused on the real issues confronting our collective scientific awareness.

          I have many considerations which have not been made apart of this essay, so if you are interested to know more about my concept at some time or another, then your questions are welcome plz? I will read your essay and follow up on your page with comments soon.

          Here are some inspirational videos you might enjoy.

          https://www.youtube.com/watch?v=SvrOzYtnLMA

          https://www.youtube.com/watch?v=khySM1YBQvA

          https://www.youtube.com/watch?v=DnQZoh_YG40&list=RDrnJ1kRWUuyg&index=9

          Thank you once again

          Kind regards

          Steve

          Steven,

          Theorists have ideas that cause math to have to account for strangeness. Then, when their ideas are challenged, they resort to telling us: You need to learn the mathematics. Actually you do not. The reason is because it is their fallacious ideas that need their math. For example, Euclid's geometry is correct geometry. It says that a straight line is straight. Einstein needed a straight line to bend, but because we see it as a straight line, he needed Riemannian geometry invented before Einstein as an exercise in four dimensional geometry. It made no geometrical sense, but, since Einstein's space-time makes no geometrical sense, Riemannian geometry serves it well.

          I intend to introduce mathematics that makes sense. Adding two numbers yields their sum. Subtracting two numbers yields their difference. Believe it or not, this is quickly headed toward understanding calculus. We begin mathematics with adding and subtracting. We do not add nor do we subtract. We memorize solutions or we must resort to counting. If we count what the solution is for 3 added to two, we count from two, then three, four, five, and have our solution of five. For addition we count upward. For subtraction we count downward. If we remember answers, we spout them out or write them down and are finished with doing the math. Lower mathematics consists of shortcuts for counting.

          Advanced mathematics also consists of shortcuts for counting. There are many shortcuts, but, they all represent memorization of solutions or looking the solutions up in mathematical tables. There always remain some necessary calculations of multiplication, division, adding and subtracting, but those have their shortcuts covered in lower mathematics.

          Now for understanding calculus. There are two operations. One consists of taking the derivative of a function. The other consists of integrating a function. A function is an equation such as f=ma. The difference between lower mathematics and Calculus is that calculus is the mathematics of change. It is liberating! I remember very clearly when an instructor showed how to take the derivative of a function in my first semester of college. Then he dropped the subject and moved on to some other mathematical subject that needed to be reviewed by new students. I had no previous understanding of just about anything he was presenting. I didn't even know what algebra was.

          After seeing his short presentation of how to take a derivative and how he then just moved on to something else, I spoke up and asked if we were coming back to this? I knew that something very important had just passed in front of me. He said: Yes we are coming back to this. Mathematics came alive for me at that moment because I recognized that taking the derivative introduced the mathematics of change. Physics is about change.

          You should take notice that a derivative of a function is represented by the letter D. The reason is because taking the derivative is division. You should also notice that the symbol for integrating a function is very much like an S. The reason is because integration is taking the sum. It is addition. Addition is made simpler by memorization of multiplication tables. Division and multiplication are covered in lower mathematics as shortcuts for counting. We are still counting things. we count up and we count down.

          More in my next message about the mathematics of change. It has to come from me or it will probably be made to seem mystical by those who rely on others not understanding it.

          James Putnam

          Dear Steve,

          I thank you for the deep and inspiring response to my commentary, as well as for the wonderful links! Magnificent music and the majestic beauty of the Cosmos enable us, earthlings, to realize the necessity of unity in diversity for the preservation and development of life on Mother Earth - our Common Space Home .

          Kind regards

          Vladimir