Search This Blog

Showing posts with label dissipative. Show all posts
Showing posts with label dissipative. Show all posts

The 2nd Law: Is Increased Entropy Stochastic (incidental) or Causal (intrinsic)?


Recent science news is dominated by the multi-trillion dollar experimental search for the Higgs boson particle. A definitive observation of the theorized, but illusive, Higgs will finally complete the verification of the Standard Model – the most respected mathematical model of the evolution of our universe, explaining the emergence of each of the known forces and all of the matter we can observe. In the Standard Model, the Higgs is responsible for gravity – surrounding the more pedestrian particles – lending them the property we call "mass". If the Higgs exists, it is important as the causal bridge between the quantum world of the small and the relativistic world of the large. How could a particle that causes gravity be so hard to find? Because it doesn't actually have mass. It is as a result, known as "weakly interacting". It is only when a whole bunch of Higgs get together and surround other particles that mass is detected, and then, only in the surrounded particles. The Higgs binds so tightly to other particles, that it takes an extraordinary amount of energy, to break it free so that its presence can be detected. This is what the "Large Hadron Collider" does – it smashes heavy atomic nucleus (stripped of their electrons) at energies equivalent to those of the first moments after the Big Bang when all of the matter and energy in the entire universe was still smaller than a single star.

But there is a far more fundamental question. Gravity is a property. It is domain-dependent. It is specific to and belongs to a class of objects of a particular makeup and composition. The existence or nonexistence of the Higgs has no effect upon other properties of the universe like electromagnetism.

But there is a candidate for a domain-independent attribute of any and all causal systems. This attribute has been labeled the "Causal Entropic Principle" – it is generally discussed within the context of the transfer of heat (at astronomical scales) – within the study of thermodynamics. It is the logical extension of the concept of increased entropy, as first postulated, measured, and later described as the 2nd Law of Thermodynamics. But now, a hundred and fifty years after the formalization the laws of thermodynamics (of the phenomena and parameters of the transfer of heat, of the ratio of potential energy and work) correlative investigations in the fields of information, communication, computation, language, energy/mass, logic, and structure have uncovered parallel principles and constraints.  It is reasonable now to understand the 2nd Law as a description of a fundamental constraint on any change, in any system, no matter what forces and materials are at play. We now understand the 2nd Law to describe the reduction in the quality (density) of the energy and or structure of the universe (or any part therein) as results any change at all. We have come to understand the 2nd Law as a constraint on the outcome of change in structure, which is to say "information", on its construction, maintenance, and or transfer. This insight has rendered an equivalence between energy and structure in much the same way that Einsteinian Relativity exposed the equivalence between energy and mass.

There is however a daemon lurking within our understanding of the 2nd Law, a daemon that threatens to undermine our understanding of causality itself, a daemon that, once defined, may provide the basis for an understanding of any self-consistent causal system, including but not exclusive of our own universe and its particular set of properties and behaviors.

The daemon of the 2nd Law is the daemon of stochastic – is 2nd Law dictated dissipation (entropy) statistical, or is statistics simply a tool we use in the absence of microscopic knowledge? Asked another way, is the reduction in the quality of energy or information that the 2nd Law demands of every action, a property of the universe or is it a property of the measurement or observation of the universe? Is action equivalent to measurement? Is there a measurement or stochastic class of action free of the entropy-increase demanded by the 2nd Law?

This question is of far greater consequence to the universe and the understanding of the universe than the mechanics of mass as it would describe and thus parameterize ALL action and ALL configuration and the precipitation or evolution of all possible action and configuration. Where the existence of the Higgs Boson may explain the source of mass and gravity in this universe, an understanding of the causal attributes leading to the behavior described by the 2nd Law of Thermodynamics might just provide a foundation from which any and all causal systems must precipitate.

The implications and issues orbiting this problem are many and deep. At stake is an demonstrative understanding of change itself. We tend to think of change as exception. But, can a thing exist without change? If not, what is the difference between data and computation, between thing and abstraction of thing, and profoundly, an answer to the question, can data exist without computation? Can thing exist outside of abstraction of thing?

In thermodynamics and information theory, an effort is made to distinguish process and stochastic process. Heat is defined as an aggregate property describing the average or holistic state of systems composed so many interacting parts to keep track of all of them individually. Heat is a calculous of sorts, a system of shortcuts that allows mathematics to be employed successfully to determine the gross state of a huge collection of similar parts. There is a tendency then to assume that the laws that describe heat are laws that only apply to aggregate systems where knowledge is incomplete.

Are there non-stochastic systems? Are there discrete systems or dynamic changes within systems for which the laws of thermodynamics don't apply? Does the Causal Entropic Principle apply if you know and can observe every attribute of, and calculate the exact and complete state of a dynamic system?

Such questions are more involved than they may seem on first reading. Answering them will expose the very nature of change, independent of domain, illuminating the causal chain that has resulted from full evolutionary lineage of the universe.

Randall Lee Reetz

Note: The Causal Entropic Principle isn't a complex concept. It is the simple application of the 2nd Law's demand for increased universal entropy as a result of every change in any system. It says that every action in every system must be that action that causes the largest reduction in the quality of information or energy (the greatest dissipation). It says that a universe has only one possible end state – heat death – and that processes that maximize the rate towards this end state will be evolutionarily favored (selected), simply because entropy-maximizing processes and structures demand a higher throughput of energy and thus end up dominating their respective locality. Such entropy-maximizing schemes are thus more likely to determine the structure and behavior of the event cone stretching off into the future. An obvious extension of this principle is that complexity, or more precisely, the family of complexity that can find, record, and process abstractions that represent the salient aspects (physics) of the (an) universe, will help that complexity better predict the shape and behavior it must assume to maximize its competitive influence upon the future of entropy maximization. The "Causal Entropic Principle" thus represents a logically self-consistant (scientific) replacement for the awkwardly self-centered and causally impossible "anthropomorphic principle" (which lacks a physical or causal explanation and leans heavily on painfully erroneous macroscopic stretching of the quantum electro dynamics). Stretching circular logic to its most obvious and illogical end, the anthropomorphic principle borrows awkwardly and erroneously and ironically form the Heisenberg / Uncertainty Principle by asserting the necessity of "observers" as a precursor to the emergence of complexity. The Causal Entropic Principle explains the production of localized complexity without the need for prior-knowledge, and does so within the bounds of, as a result of, the 2nd Law of Thermodynamics, by showing that localized complexity can both come into existence as a result of the constant increase in universal entropy, and more specifically, that localized complexity has an evolutionary advantage, and will thus out-compete, less complex structures. In a Causal Entropic Principle universe, intelligence is the expected evolutionary result of competition to reach heat death faster. Falling down is enhanced by a particular class of complexity that can come into existence as a natural result of things falling down. Should one form of such complexity "understand" the universe better than another form, it will have an advantage and will be more likely to influence the shape of complexity in the future. The better a system gets at abstracting the dynamics of its environment the more likely it will be able to eat other systems than be eaten by them. Where the anthropomorphic principle requires an a-priori "observer", the causal entropic principle simply requires the 2nd Law's demand for increased entropy, for things falling down.

Are We But Crows? (Where Pattern is Noise)

Lets look at yet another way that the human mind gets tripped up and falters. Our propensity to find pattern makes us vulnerable to an inane form of overindulgence and counterproductive obsession with attributes of systems that do not carry essence or salience. Seems that our evolutionarily-shaped affinity for pattern make us particularly vulnerable to a level of indulgence that in smaller quantities is reasonable and healthy, even necessary.

Here is the problem. Most pattern is indicative of a lack of information or salience. If a system can get away with simple duplication along a scheme, it means that that part of the system is not very important. It means that it is cutting resource corners and systems can only get away with this type of cost cutting in areas that are not salient to the main purpose of the system at large.

Imagine going to a bookstore and obsessing over the fact that all of the books are made of the same stuff, of paper sheets cut and stacked in approximately the same geometric ratio. Imagine, in fact that this pattern overwhelmed your attention to such a degree that you could not be bothered with the content encoded as printed words on the pages of those books.

That would render all books equivalent. A book printed with random strings of words or with no words at all would be informationally equivalent to Darwin's, Origin Of The Species. In the face of an overwhelming attraction to inessential pattern, essential pattern is dismissed as noise, is ignored.

I call this the "Crow" problem… an obsessive attraction to shiny objects. There are so many examples of this type of cognitive distraction; rainbows, crystals, mirages, amber waves of grain, camouflage, fractals, golden rectangles, sacred numbers, etc.  It is where our own cognitive process amplifies some pattern in the world wether or not it is important in any information rich manor.

We are for instance, especially susceptible to and sensitive to right/left symmetry. Probably because filtering for this pattern allows you to quickly pull animals out of a complex sensory field. Having such a filter gave us evolutionary advantage, so we now have brains with a tendency to favor right/left symmetry in visual fields.

The rainbow is an other great example of pattern that is attractive but virtually meaningless. A rainbow is not actually a thing of course, but a mix of the refractive nature of light and a behavioral anomaly of our visual apparatus. A rainbow is like a hologram. What we are seeing is light reflected off of raindrops or fog. Of course it is a poor indicator of the location of rain in our visual field… there is rain in other parts of the sky than where the colored bands appear. The phenomena that is visible as a rainbow is happening every time rain is present but we only see the rainbow when our orientation to the sun is within certain fairly restrictive parameters. Yet, so attractive is the rainbow stimuli, under the influence of this pattern detection stimulus, we might just miss more pertinent information (a lion approaching?).

Another example of particular importance is the attraction to crystals and the latest crystal fad, fractal geometry.

Most people are interested in fractals (or think they should be). But what exactly do you actually KNOW about fractals? Does your knowledge of fractals include an understanding of the WHY of n-dimensional radial n-scale self-similar patterns, why they appear in dissipative systems that develop over time? Do you care to know or understand? I get the feeling that people who are the most attracted to fractals are more interested in some sort of pseudo-spiritual grooviness, the stare at your navel aspect of fractals, than the simple truth of least-energy dictated growth patterns.

What is abstracted in mathematics as the "fractal" is in fact the only pattern that nature can exhibit in systems that are dominated by parts that are very much the same. Sand is a good example. Homogenous liquids and gasses are another. Fractals are a map or abstraction of dissipative systems, and all systems are dissipative. But the events and situations that matter in the evolution of complexity, the WHY that makes US possible, are not the even dissipation within a scheme, but the CREATIVE events that allow for new (faster and bigger) dissipative paradigms. An explosion is fractal in the same way that a capillary web is fractal in the same way that both a tributary and alluvial plane is fractal. It is just the end result of a history where least energy dictates the most efficient moment to moment dissipation of energy. The way you are saying that fractals are important feels religious and rapturous. As though fractal patterns in nature are a THING or a GOAL. Fractals don't know they are fractals any more than the ink making up the word "Fractal" on a printed page "knows" or "wants" to be that particular word or any word at all.

People who act this way towards pattern scare me. What matters in process is the places where pattern breaks. Else we wouldn't be here. Else we couldn't find salience.

I am afraid of and purposefully vigilant against the grand attractors of human thought, virgin births, miracles of any kind, shiny baubles, trickery, omnipotence, anecdote, life ever after, self importance, power over others, a desire to know or have access to the prediction of future events, predetermination, and pertinent to this discussion, crystals and fractals and the types of pseudo-cyclical pattern that makes us think nature is more simple than it is and that nature is of our own imagination or invention.

All systems seek equilibrium. In systems made up of subsystems, each of these subsystems seek their own equilibrium or resonance. Frequently when the resonances of several co-systems fall into an overlapping cycles, additive standing waves can and do overwhelm the integrity of the system as a whole. Feedback loops are anti-complexity mechanisms. Overarching patterns overwhelm systems and keep them from creative or information rich activities and interactions. Systems that seek to compete in the edge of evolution game are systems that spend an inordinate amount of energy keeping feedback loops in check. A creative system is a system working overtime AGAINST the information killer that is natural tendency towards simple pattern (fractals).

If you are trying to get rid of a planet or smooth out the heat cline in an ocean, fractal patterns are important. If you are a member of a species that is carrying complexity forward through the accumulation and control over abstraction, dissipative pattern and the systems dominated by them, are like Kryptonite to the program at hand… best to avoid them at all cost.

It is important to know when to appreciate pattern and when to run like hell when you see it developing. The forces that produce pattern are information destroyers.

We had better look long and hard at this issue. Choosing a false god at this level in the evolutionary game could end up causing the death of the whole complexity scheme just as it is becoming aware of its purpose and salient pattern.

As another example of pattern distraction, I give you DNA.

My favorite morphological description of DNA: "the non-periodic crystal". It harnesses the strong self-organizing (but anti-information) properties that give rise to a crystal (in this case, an almost endless wound chain of identical and stable "double-helix" spiral twists) as a stable superstructure for that will carry the information (anti-crystal) bearing base-pairs at its axillary center. The crystal spiral holds and protects the integrity of the always-vulnerable low-entropy sequence that holds our genetic recipe… DNA's real structure of importance. Even so, we humans seem to be more attracted (like crows) to the simplicity of the simple and un-remarkable spiral crystal armature instead of the non-crystaline information the crystal armature makes possible!

The larger implication of our self-destructive crow-like attraction to simplicity is that we are romantic about the very things that don't matter and ignore-ant of the anti-crystal configurations that are complex and information rich… that are salient to the information we are and the information our information may yet create.

I suspect that our attraction to simplicity in pattern is an idiosyncratic after-effect of a salience detector within our thinking apparatus that is constantly looking for self-similarity. When computer scientists and logicians attempt to design compression schemes, they are looking for ways to algorithmically discover those sections or sequences of a set of information that are un-important to the overall structure… much of data is repetitive, if you can find these repetitions, patterns, you can reduce them to simple equations or pointers to prototypical modules that can be stored once and forever duplicated as filler. Obviously, these patters are compressible because they cary so little salient information.

While it is somewhat surprising that so much of an image, musical recording, even string of text, can, using fractal math, be detected as filler and deleted, the subsequent and predictable human reaction… that of honoring the trash simply because it is pretty, is to my mind, one of the most scary attributes of human proclivity. Fractals illustrate how much of nature's structure is non-salient, is the noise, the tailings of dissipation. That we would be enamored by the pattern of noise to such an extent that we ignore the real meat of information (that which is not pattern-able) is our potential downfall as a species.

A snail isn't trying to build spiral. A snail grows a shell that happens to be a spiral because that is THE ONLY SHAPE allowed in three dimensions that is both a cone (expanding tube) and dimensionally minimal of solid permanent material. The snail has better things to waste its limited energy on than the shape of its protective home. So it chooses the one shape that takes the least energy and most minimal construction algorithm to pull off. We dishonor the snail as a biological scheme by paying attention to the aspect of its survival that is the least interesting. That simplicity of that spiral shell is what should tell us not to pay attention to that aspect of its being or strategy.

But in this regard and others, we act as crows despite our 100 billion brain cells and the potential therein.

Sad.

Randall Reetz

Solar energy conversion… can it hurt the Earth?

Note: before anyone accuses me of being anti-green, let me explain my general motivation and then the specific intent of this post. I don't think there is a more potent problem facing humanity (and all life) than the current man-caused spike in global temperature. If we do not act appropriately and quickly and at unprecedented scale, biology faces near-total destruction. The scale of this problem demands that our solutions be equally large. Large solutions of any kind will have both intended and unintended consequences. We must strip emotion and sentimentality from our assessment and design process. We must dump our pre-conceptions and deal with the physical dynamics as they are (not as we would like them to be).

Global heat delta as solar/wind is converted?
Almost every time solar energy is harnessed by human-built converters (to electricity or work), this energy is transmuted down the thermodynamic ladder faster and more localized than would "naturally" occur.

And its digression towards heat is localized (thermodynamic oxymoron I am aware). At the very least, the global atmospheric energy distribution budget is disturbed. Energy that used to go towards other dynamic dissipative systems (ocean and air currents, the fresh water cycle, etc.) is now siphoned off and downgraded to heat at a faster rate. This is especially true of systems like solar to electricity cells which convert some sunlight that would otherwise have bounced out into space.

Even wind and water current converters (turbines) pull kinetic energy from a large system, and localize (time and location) the thermodynamic degradation in non-natural ways.

In both cases, heat that would have dissipated down stream over a long period of time is removed instantly (much of which is immediately lost to heat in the conversion process) and sent to highly localized dissipative devices (lights, heaters, stoves, computers, washing machines, TVs, and industrial equipment). The placement of these end of the line dissipative devices is determined by human desire and not the simple thermodynamic least-energy topology represented in natural systems.

As we get better and better at exploiting solar energy to our own energy needs, more and more of the solar energy that drives large scale atmospheric phenomena will be removed from the standard atmospheric causality chain. What impact will this have on weather patterns? On ocean currents? On global temperature and temperature distribution? On annual seasons? On precipitation patterns?

Our planet's heat budget is to some extent regulated by the off-planet radiation of heat through infrared (and other) radiated wavelengths. How do our current human uses of electricity effect this radiated/mechanical heat fraction?

As compared to hydro-carbon oxidation?
To be sure, the oxidation of hydro-carbons (burning oil and gas) has a more radical effect on heat balance. But this has more to do with the fact that undisturbed oil and gas are only "potential" energy until we bring them to the surface and burn them. Solar energy conversion is not typically considered in light of thermodynamic process because it is assumed that this is energy that is used naturally anyway. But natural uses of solar energy drive planet wide dissipative engines upon which all life is distributed and timed.

To what extent will drastic increases in solar energy conversion effect these essential processes? Especially as humans continue to use more and more energy?

Is this a tipping point effected system?
I know that current solar conversion is probably such a small slice of the total earth-solar energy budget that these questions must seem daft. However, as we have seen in many natural systems, small changes can catalyze huge and unexpected out-fall effects. Disregarding "tipping point" sensitivity, how will ever increasing capture of solar energy for human use effect Earth-scale dissipative systems that support biology as it is currently represented?

Engineering done well
Here is what I suspect. We put solar conversion panels up where solar real-estate is cheap... on roofs or in deserts where other (agricultural) uses of that energy is not reasonable. These locations are locations where there is reason to have highly reflective surfaces. A well designed solar converter reflects as little energy as possible. Either way, I suspect that solar panels have different reflective behavior than other surfaces. Plants appear green because they absorb red (longer wavelength) light. Plants differentially reflect green and blue light. Solar panels are usually placed where plants aren't. But even if they replaced plants, their reflection/absorption properties would be different than plants. A plant converts solar to chemical energy in a respiratory process that absorbs carbon from carbon dioxide in the air and strips the carbon releasing pure oxygen.

Photovoltaic panels are not respiratory systems. This fact alone changes the environmental atmospheric equation.

But let us instead concentrate on panels that replace only other non-biological surfaces of various reflective and heat storage indices. The whole point of a well designed solar panel is to convert solar photonic energy to heat or electricity (or hydrogen) which can be transported or transmitted to other locations for immediate use (conversion back to heat through a chemical or mechanical process that results in work). This process differs from natural processes in important ways. It is usually faster degradation to heat. It is often localized differently than natural dissipative processes. And (if well designed and engineered) it is more absorptive than natural surfaces. 

Randall