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P. Fraundorf UM-StL Center for Nano Science Microscope Image and Spectroscopy Tech Lab UM-StL Physics Astronomy email:

. Outline. Foundations of correlation-based complexitymutual information

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P. Fraundorf UM-StL Center for Nano Science Microscope Image and Spectroscopy Tech Lab UM-StL Physics Astronomy email:

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    1. Can anyone guess what these images are of, as well as what kinds of microscope took them? For example, in which might a nanophotographer have inadvertantly captured her own shadow on film, a 10-fold symmetry reveal something unexpected, or a pattern arise that looks like the glow-in-the dark footprint of a recent UFO landing? This slide was originally put together for an intro to nanomedicine. One goal of that talk was to convince folks that thinking on multiple scales of space and time is not just a fad. Nanoscale science includes cooking and sex, and is therefore hardly new. But its increasingly relevant as we uncover new tricks. Nanoscale insight is also important for us in taking responsibility for things like our own health. A community of scale-aware observers will respond to challenges (like epidemics) more effectively. An informed public might also put less energy into blaming others for their decisions, say of what to eat and breathe and touch. For example the perspective of a cell is as different from that of a virus molecule, as human perspectives are from the cell's. Recognizing the different relationship that these perspectives has to our life is a challenge for the observer of nature in each us. Nanoperspectives also bring the process of emerging complexity up close and personal. The magic of atoms organized into cellular engines, partnering with molecular codes, is perhaps our best cross-disciplinary training ground for understanding that even rarer phenomenon: multi-celled organisms partnering with idea codes. But I'm getting ahead of myself. Can anyone guess what these images are of, as well as what kinds of microscope took them? For example, in which might a nanophotographer have inadvertantly captured her own shadow on film, a 10-fold symmetry reveal something unexpected, or a pattern arise that looks like the glow-in-the dark footprint of a recent UFO landing? This slide was originally put together for an intro to nanomedicine. One goal of that talk was to convince folks that thinking on multiple scales of space and time is not just a fad. Nanoscale science includes cooking and sex, and is therefore hardly new. But its increasingly relevant as we uncover new tricks. Nanoscale insight is also important for us in taking responsibility for things like our own health. A community of scale-aware observers will respond to challenges (like epidemics) more effectively. An informed public might also put less energy into blaming others for their decisions, say of what to eat and breathe and touch. For example the perspective of a cell is as different from that of a virus molecule, as human perspectives are from the cell's. Recognizing the different relationship that these perspectives has to our life is a challenge for the observer of nature in each us. Nanoperspectives also bring the process of emerging complexity up close and personal. The magic of atoms organized into cellular engines, partnering with molecular codes, is perhaps our best cross-disciplinary training ground for understanding that even rarer phenomenon: multi-celled organisms partnering with idea codes. But I'm getting ahead of myself.

    2. Outline Foundations of correlation-based complexity mutual information & reversible thermalization convergent disciplines & multiscale thought The attention-slice simplex for metazoans physical boundary-directed niche networks time/resource/attention slices conjectures and measurement Like the television series Seinfeld, this talk is about nothing new, except perhaps for an element or two of integrative synthesis. Since the second half is about things on which I am not a specialist, Ill start with a few things that I do know. This will recall some early connections and a few recent developments. I then want to go over three themes that might help guide integrative work downstream.Like the television series Seinfeld, this talk is about nothing new, except perhaps for an element or two of integrative synthesis. Since the second half is about things on which I am not a specialist, Ill start with a few things that I do know. This will recall some early connections and a few recent developments. I then want to go over three themes that might help guide integrative work downstream.

    3. Converging threads... Nanoscience where chemistry, physics, biology, engineering, medicine, CSI, ethics, and complex system studies of emergence run together... Astrobiology where Chaissons cosmic evolution (the natural history of invention) intersects our distant past, and our distant future... Informatics where the code-based sciences (genetics, computer science, linquistics), thermal physics, journalism, networks & statistical inference join up... Also referred to as elements of disruptive science because of the cognitive dissonance or culture shock that occurs when disciplines merge. Look for slow integration of these concepts throughout the education infrastructure in years ahead, with even more impact than the concepts of ecosystem, niche, and web of life that worked their way in (across disciplines) some years back.Also referred to as elements of disruptive science because of the cognitive dissonance or culture shock that occurs when disciplines merge. Look for slow integration of these concepts throughout the education infrastructure in years ahead, with even more impact than the concepts of ecosystem, niche, and web of life that worked their way in (across disciplines) some years back.

    4. Foundations of correlation-based complexity Gibbs/Jaynes/Tribus Energy and Information: Availability = Free Energy plus Correlations Chaissons Cosmic Evolution: Atoms, Galaxies, Stars, Planets, GeoCycles, Microbes, and Metazoans, all convert free energy to correlations. Odum brothers, Watson/Crick, Lorenz: Complementary role for Steady-State Excitations and Replicable Molecular Codes; Metazoan Skins & Gene Pools as community subsystem boundaries. Shannon, McLuhan, Dawkins: Evolution of Memetic Codes and Electronic Media; emerging Meme Pool boundary structures. Margulis and others: Symbiosis and multiscale regulation of gene expression in eukaryotes. Boyd & Richerson, Diamond: Multiscale guidance of meme expression in metazoan communities => Crucial to Sustainability?

    5. Gibbs/Jaynes/Tribus Energy and Information: Generalized thermodynamic availability includes free energies, correlations between subsystems, as well as correlations between system and knower i.e. awareness of complexity.

    6. What does thermal physics have to say about evolved complexity? We start with a text-only outline here.What does thermal physics have to say about evolved complexity? We start with a text-only outline here.

    7. Gambling theory (MaxEnt) review Now a few well known equations. For each row, note the relationship discussed, and its units. If we define surprisal as the log of probabilitys reciprocal for each accessible state, average surprisal (entropy, uncertainty) has information units (how many are familiar with this?); (ii) Max-ent best guesses (e.g. in micro-canonical, canonical, pressure and Gibbs ensembles) yield intensive Lagrange multipliers. These are typically derivatives that involve entropy and an extensive conserved quantity X, which equilibrates as initial conditions fade. For example, 1/kT = dS/dE makes temperature an energy derivative thats not always proportional to total energy, much as acceleration is not always proportional to velocity, in spite of occasional textbook allusions to the contrary (how many have seen this?); (iii) Dimensionless integral and differential capacities (elaborate here) then have units of what? (Answer: bits per 2-fold increase in X or one of its multipliers); and (iv) Net-surprisals (AKA relative or cross-entropy) in information units measure finite deviations from expected, and reduce near equilibrium to availabilities (free energy over kT) and in the case of correlated subsystems to mutual information (now fashionable in the study of evolving codes, nonlinear dynamics, and quantum computing). Now a few well known equations. For each row, note the relationship discussed, and its units. If we define surprisal as the log of probabilitys reciprocal for each accessible state, average surprisal (entropy, uncertainty) has information units (how many are familiar with this?); (ii) Max-ent best guesses (e.g. in micro-canonical, canonical, pressure and Gibbs ensembles) yield intensive Lagrange multipliers. These are typically derivatives that involve entropy and an extensive conserved quantity X, which equilibrates as initial conditions fade. For example, 1/kT = dS/dE makes temperature an energy derivative thats not always proportional to total energy, much as acceleration is not always proportional to velocity, in spite of occasional textbook allusions to the contrary (how many have seen this?); (iii) Dimensionless integral and differential capacities (elaborate here) then have units of what? (Answer: bits per 2-fold increase in X or one of its multipliers); and (iv) Net-surprisals (AKA relative or cross-entropy) in information units measure finite deviations from expected, and reduce near equilibrium to availabilities (free energy over kT) and in the case of correlated subsystems to mutual information (now fashionable in the study of evolving codes, nonlinear dynamics, and quantum computing).

    8. A UIUC intro-physics homework problem... A practical application of net surprisals involves a problem that my daughter was assigned in a physics course when she was a student here at U of I. Imagine a device which takes in a cup of boiling water, and outputs a cup of ice water. What is the maximum temperature at which such a device can operate without requiring an external source of available work? Im told that chemists would tackle with problem using Carnot engine and heat pump efficiencies, we might use heat and entropy flows in introductory physics, but by far the simplest approach involves assuming that an unpowered device cant increase the net surprisal of the water cup relative to ambient. As shown above, equating net surprisals yields a simple equation that shows that such a device is possible even if the ambient temperature is well above 100F.A practical application of net surprisals involves a problem that my daughter was assigned in a physics course when she was a student here at U of I. Imagine a device which takes in a cup of boiling water, and outputs a cup of ice water. What is the maximum temperature at which such a device can operate without requiring an external source of available work? Im told that chemists would tackle with problem using Carnot engine and heat pump efficiencies, we might use heat and entropy flows in introductory physics, but by far the simplest approach involves assuming that an unpowered device cant increase the net surprisal of the water cup relative to ambient. As shown above, equating net surprisals yields a simple equation that shows that such a device is possible even if the ambient temperature is well above 100F.

    9. Graphical review of everyday engines Heat engines and heat pumps are familiar from many introductory courses, but information engines that create correlations between subsystems by thermalizing available work are less familiar. They are, however, at least as important in our day-to-day lives. This approach to visualizing heat and entropy equations also works for heat engines, heat pumps. Information engines are less well known (primarily because thermodynamics traditionally avoids subsystem correlations). However, they are at least as ubiquitous.This approach to visualizing heat and entropy equations also works for heat engines, heat pumps. Information engines are less well known (primarily because thermodynamics traditionally avoids subsystem correlations). However, they are at least as ubiquitous.

    10. Natural units for temperature & entropy facilitate the application of thermal physics to information engines For example, information engines that reversibly thermalize work to create correlated subsystems are quite topical in modern day studies of code replication (cf. Tom Schneider at NIH), of code origins (cf. the recent Scientific American article by Bennett and others on chain letters), and of quantum computing (cf. articles in the past decade on mutual information and its applications by Seth Lloyd).For example, information engines that reversibly thermalize work to create correlated subsystems are quite topical in modern day studies of code replication (cf. Tom Schneider at NIH), of code origins (cf. the recent Scientific American article by Bennett and others on chain letters), and of quantum computing (cf. articles in the past decade on mutual information and its applications by Seth Lloyd).

    11. the excitation-code correlation is an old story If you know the state of a binary system (e.g. the x-component of a half-integral spin), then you and that binary system share one bit of mutual information. The isolated subsystem second law concerns the time dependence of uncertainty about its contents, and hence the mutual information shared by observer & subsystem. A statement is true if and only if it correlates with the excitation to which it refers. The recent example by Lapilli et al (PRL 2006) confirms that different Hamiltonians (i.e. underlying excitations) can yield the same thermodynamics (macroscopic description), even over a range of temperatures.

    12. Chaissons Cosmic Evolution: Atoms, Galaxies, Stars, Planets, GeoCycles, Microbes, and Metazoans, all involve conversion of a different (e.g. energy-based) form of thermodynamic availability into subsystem correlations.

    13. Astrobiology, stardust at home, and Don Brownlees Rare Earth Don Brownlee pioneered the first stratospheric collections of interplanetary dust. Studies of presolar grains from meteorites are now a routine source of astrophysical information e.g. on things like nucleosynthesis cross-sections in stars. The recent comet sample return mission that Don Brownlee headed may bring back some specimens of more contemporary interstellar dust.Don Brownlee pioneered the first stratospheric collections of interplanetary dust. Studies of presolar grains from meteorites are now a routine source of astrophysical information e.g. on things like nucleosynthesis cross-sections in stars. The recent comet sample return mission that Don Brownlee headed may bring back some specimens of more contemporary interstellar dust.

    14. Faceted edge-on single-walled carbon nanocones in the core of micron-sized graphite onions, formed in the atmosphere of a red giant stars manufacturing the galaxys carbon atoms. HREM, diffraction, and EELS evidence for possible dendritic solidification of liquid carbon drops... A recent example of work on presolar stardust involves these single walled nanocones in the core of microns sized spheres, whose Ne and C isotopes show were condensed in the atmosphere of a late AGB star in the early Milky Way.A recent example of work on presolar stardust involves these single walled nanocones in the core of microns sized spheres, whose Ne and C isotopes show were condensed in the atmosphere of a late AGB star in the early Milky Way.

    15. Multiscale Awareness in Time This slide discusses a synthesis between two interesting books, one on times arrow by astronomy book author Eric Chaisson at Tufts University, and the other by Don Brownleee and geologist Peter Ward (at UW Seattle) on earths clock. Eric optimistically discusses the cosmic evolution of steady-state systems that trade free energy for increasingly complex subsystem correlations. This integral view of evolution lets students see how real-time observations of stellar and planetary evolution are a seamless part of the living fabric on earth. Ward and Brownlee, who elaborated on the rarity of planetary chances for metazoan evolution in their book Rare Earth, discuss on the billion year time scale how earth is only a temporary home for such complex systems. If one zooms in on the present in a calendar made by combining these billion year clocks, youll find that were in the middle of what is likely the third multi-glaciation ice age since metazoan lifeforms on our planet came into their own a half-billion years ago. Moreover, solar evolution and carbon loss processes suggest that this age of plants and animals will have run its course on a comparable time scale in the days ahead. Forward/backward looking powers of ten in time: For more on what one sees as one zooms in toward the present on these calendars, cf. http://www.umsl.edu/~fraundor/ifzx/earthtimes.html.This slide discusses a synthesis between two interesting books, one on times arrow by astronomy book author Eric Chaisson at Tufts University, and the other by Don Brownleee and geologist Peter Ward (at UW Seattle) on earths clock. Eric optimistically discusses the cosmic evolution of steady-state systems that trade free energy for increasingly complex subsystem correlations. This integral view of evolution lets students see how real-time observations of stellar and planetary evolution are a seamless part of the living fabric on earth. Ward and Brownlee, who elaborated on the rarity of planetary chances for metazoan evolution in their book Rare Earth, discuss on the billion year time scale how earth is only a temporary home for such complex systems. If one zooms in on the present in a calendar made by combining these billion year clocks, youll find that were in the middle of what is likely the third multi-glaciation ice age since metazoan lifeforms on our planet came into their own a half-billion years ago. Moreover, solar evolution and carbon loss processes suggest that this age of plants and animals will have run its course on a comparable time scale in the days ahead. Forward/backward looking powers of ten in time: For more on what one sees as one zooms in toward the present on these calendars, cf. http://www.umsl.edu/~fraundor/ifzx/earthtimes.html.

    16. As with spatial sizes, one can look forward and back on many time scales as well. Here, we zoom in by decades on the Chaisson & Brownlee billion year clocks. Starting from those billion year clocks, we begin to zoom in (by three magnitudes) on smaller time scales...Starting from those billion year clocks, we begin to zoom in (by three magnitudes) on smaller time scales...

    17. Correlated subsystem states (e.g. atoms, galaxies, stars, planets, biogeochemical cycles, cells, communities) develop as free energy is spent. Thus the fossil fuel legacy of multi-celled lifes 1st half may be useful for its 2nd half. This brings us to... Another 6 magnitudes bring us to a calendar for the past and current century, and evidence that on a local scale subsystem correlations continue to cover new ground.Another 6 magnitudes bring us to a calendar for the past and current century, and evidence that on a local scale subsystem correlations continue to cover new ground.

    18. Multiscale Size and Time: For those interested in outreach beyond our communities at home, i.e. in that innate frontier spirit, consider the intellectual and practical challenge of galaxy seeding with Milky Way nannites. We may get messages back well before the age of metazoans on earth is over. Now thats a challenge!

    19. Odum brothers, Watson/Crick, Lorenz: Complementary role for Steady-State Excitations and Replicable Molecular Codes; Emergence of Metazoan Skins & Gene Pools as community subsystem boundaries.

    20. Single strand curls of a DNA molecule that may help Lifeng Dong, a researcher at (S)MSU, attach Platinum electrodes to the ends of single-walled carbon nanotubes in future nano-electronic devices.

    22. Primary layers of correlation in animal communities

    23. Shannon, McLuhan, Dawkins: Evolution of idea codes, media for their replication and transmission, and emerging meme-pool boundary structures.

    24. Margulis and many others: Symbiosis and multiscale guidance for gene expression in eukaryotes made embryonic development, as well as operation of metazoans with multi-organ subsystems, possible.

    25. Boyd & Richerson, Diamond: Multiscale guidance for meme expression in metazoan communities => Crucial to Sustainability? How might we facilitate this?

    26. Pulling The Pieces Together Correlations and boundaries Attention/resource/time slice models Conjectures and their verification Now we suggest connections to the territory of other specialists.Now we suggest connections to the territory of other specialists.

    27. Given a way to inventory correlations in such a layered niche network, informatics then says that reversible thermalization fits beatifully into the energy/information flow picture... The left hand side of this plot tracks the flow of available work through e.g. from incoming sunlight to its exit from our planet as thermal radiation. The right hand side examples correlations within and across half a dozen sub-system boundary types, ranging from molecule surfaces to the boundary between cultures. Thus thermal physics in natural units provides clues to the role of reversible thermalization in the natural history of invention. This will continue to impact our day to day life, particularly as social distance across the planet continues to shrink. Information physics therefore injects timely new life into the study of evolving correlation-based complexity. The left hand side of this plot tracks the flow of available work through e.g. from incoming sunlight to its exit from our planet as thermal radiation. The right hand side examples correlations within and across half a dozen sub-system boundary types, ranging from molecule surfaces to the boundary between cultures. Thus thermal physics in natural units provides clues to the role of reversible thermalization in the natural history of invention. This will continue to impact our day to day life, particularly as social distance across the planet continues to shrink. Information physics therefore injects timely new life into the study of evolving correlation-based complexity.

    28. physical boundary-directed niche networks The right figure takes a clue from the way our species (e.g. Schaik in Sci Am 4/2006) conceptualizes its own networks. The left column lists three geometically complex physical boundaries: metazoan skin, gene pool, and meme pool. At right, find six niche layers that each individual can concurrently occupy.

    29. ...are already in development in their respective fields. Of course, inventories useful across layers will only evolve after sufficient hammering by experts in these fields.

    30. These layers of correlation-based complexity also stack temporally, putting the natural history of invention into the same integrative context The table above sketches the sequential development of these boundaries, and physical systems to which associated concepts apply, through the natural history of invention.The table above sketches the sequential development of these boundaries, and physical systems to which associated concepts apply, through the natural history of invention.

    31. The foregoing discussion of layered niche networks raises some questions How long have all six layers been evident with humans? For example, just as metazoans and the Cambrian bloom were prefaced by certain technological developments in our symbiosis with molecular codes, so intra-cultural behaviors have leveled-up with the development of spoken language, and inter-cultural behaviors with the development of written and electronic communcation. If shared human development predates the availability of six distinct layers, does that mean that as individuals we cannot be expected to do all six well at the same time? Can objective measures of standing crop be developed which improve upon census and/or GDP? Chaisson has observed that complexity correlates phenomenologically with free energy rate density. Will a lower per capita free energy rate mean we cant maintain all six layers?

    32. Idea codes have been developed to maintain each niche layer We have separate bits of lore for taking care of: ourselves, our friends, our family, our community, our culture, and our profession. Just as biologists have discovered that molecular codes have a life and perspective of their own, so do increasingly mobile idea codes. Taking their perspective into account is crucial. Ad hoc observation: Problems, including extremism, may be linked to codes which dismiss one or more of these layers. But how can we quantify this stuff?

    33. Spatial vs time-slice modeling

    34. The Attention-Slice Simplex

    35. Why those six and only six levels i.e. self, pair, family, hierarchy, culture, profession? One possible answer: Three and only three emergent physical boundary types: skin, gene-pool, meme-pool.

    36. Initial work underway in behavioral ecology and affect control theory might help, for example, in getting a handle on the interaction between electronic media and human communities today.

    37. Two illustrative idea dynamics (i) level-blurring (ii) ancient heritage Science is careful observation of nature, followed by reporting in ways informed to the literature. It is normally integrated into culture and politics after embrace by a community of specialists in the field. If we teach science as consensus rather than as observation, we blur levels and open doors to political and religious input as well. A symbiotic relationship with xenophobic ideas was likely an important survival trait for your ancestors over recent, as well as myriad stone age, generations. Xenophobia is an idea easily replicated among humans that can act as a virus in the huge population of todays electronic world. Awareness of our evolved relationship to ideas (and niche levels) might help put it into context.

    38. Possibly testable conjectures? Niche multiplicity (geometric average of individual values) might serve as a natural measure of community health. Humans so far are better adapted to 5 rather than 6 levels. Multiplicity might go down as available work per capita goes up. Conceptual focus on all six levels might: (i) increase niche multiplicity, (ii) decrease the amplitude of media induced oscillations, and (iii) dampen the tendency of news media to focus on questions which blur the distinction between levels.

    39. How might we assess the correlation-focus of individuals and communities? Possibilities include: (i) population surveys, (ii) behavioral observation, (iii) data on communication focus

    40. Recap: Convergent disciplines, like nanoscience, astrobiology & informatics, support that... Correlations (created by reversible thermalization of free energy) between subsystems may be used to monitor evolving complexity's standing crop. Symbiosis between steady state excitations and replicable codes is a recurrent theme on earth, where correlations are sometimes represented by a layered network defined with respect to physical boundaries of wide-ranging size & complexity. Five of the six niche layers for individuals (looking inward and outward from the physical boundaries of metazoan skin, gene pool, and meme pool) have been distinct for much of human evolution. Blurring of these levels may result from declining free energy per capita. Monitoring community correlations, and informing idea expression, on all 6 levels may be a key to sustainability.

    41. A nanoscale detective trainer may be found on the web at http://www.umsl.edu/~fraundor/nanowrld/dtemspec.html A MissOuri NanoAlliance inventory may be found at http://newton.umsl.edu/~run/mona/default.htm This last slide illustrates one of our web-based virtual microscopes. These are designed to offer empirical observation exercises to students, patterned after challenges offered by real microscopes on real specimens. Strategies are being developed for their use in homework (lab notebook, scientific report, and peer review), in modeling workshops, through peer instruction, and even on timed in-class exams. Of course, to return to the beginning, this discussion about nanoscience in everyday life is not only about progress. It is also about survival over a variety of time-scales on a planet attempting to preserve, or enhance, its correlation-based complexity even though our per-capita free-energy production plateaued at 2.2 kilowatts a quarter century ago, and a big bite out of our half-billion years accumulation of fossil fuels has been taken in only the past few hundred years. To deal with this in style, we are called to leap beyond our stone-age programming with every bit of hard-won ingenuity we can put our hands on, spanning multiple scales of both space and time.This last slide illustrates one of our web-based virtual microscopes. These are designed to offer empirical observation exercises to students, patterned after challenges offered by real microscopes on real specimens. Strategies are being developed for their use in homework (lab notebook, scientific report, and peer review), in modeling workshops, through peer instruction, and even on timed in-class exams. Of course, to return to the beginning, this discussion about nanoscience in everyday life is not only about progress. It is also about survival over a variety of time-scales on a planet attempting to preserve, or enhance, its correlation-based complexity even though our per-capita free-energy production plateaued at 2.2 kilowatts a quarter century ago, and a big bite out of our half-billion years accumulation of fossil fuels has been taken in only the past few hundred years. To deal with this in style, we are called to leap beyond our stone-age programming with every bit of hard-won ingenuity we can put our hands on, spanning multiple scales of both space and time.

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