Quantum Mechanics

Introduction to Quantum Mechanics 2nd by David Griffith 2E Intl Edition
Introduction to Quantum Mechanics 2nd by David Griffith 2E Intl Edition
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Relativistic Quantum Mechanics Wave Equations030253
Relativistic Quantum Mechanics Wave Equations030253
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Advanced Visual Quantum Mechanics by Bernd Thaller 2004 Other Mixed media
Advanced Visual Quantum Mechanics by Bernd Thaller 2004 Other Mixed media
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Elementary Quantum Mechanics by David S Saxon 1968 Hardcover
Elementary Quantum Mechanics by David S Saxon 1968 Hardcover
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Introduction to Quantum Mechanics
Introduction to Quantum Mechanics
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Path Integrals In Quantum Mechanics by Jean Zinn Justin 2005 Hardcover
Path Integrals In Quantum Mechanics by Jean Zinn Justin 2005 Hardcover
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FAST SHIP GRIFFITHS DAVID 2e Introduction to Quantum Mechanics
FAST SHIP GRIFFITHS DAVID 2e Introduction to Quantum Mechanics
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Introduction to Quantum Mechanics in Chemistry by George Schatz and Mark A
Introduction to Quantum Mechanics in Chemistry by George Schatz and Mark A
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Introductory Quantum Mechanics by Richard L Liboff 2002 Hardcover
Introductory Quantum Mechanics by Richard L Liboff 2002 Hardcover
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Quantum Mechanics in Simple Matrix Form by Thomas F Jordan and Thomas Jordan
Quantum Mechanics in Simple Matrix Form by Thomas F Jordan and Thomas Jordan
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Many Body Theory Exposed Propagator Description of Quantum Mechanics in Many B
Many Body Theory Exposed Propagator Description of Quantum Mechanics in Many B
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Quantum Mechanics for Chemists Basic Concepts In Chemistry Very Good Books
Quantum Mechanics for Chemists Basic Concepts In Chemistry Very Good Books
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Quantum Mechanics with Basic Field Theory
Quantum Mechanics with Basic Field Theory
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NEW Quantum Statistical Mechanics Schieve William C
NEW Quantum Statistical Mechanics Schieve William C
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Modern Quantum Mechanics 2nd by Sakurai Napolitano
Modern Quantum Mechanics 2nd by Sakurai Napolitano
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Many Body Theory Exposed Propagator Description of Quantum Mechanics in
Many Body Theory Exposed Propagator Description of Quantum Mechanics in
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FAST SHIP SAKURAI 1e Advanced Quantum Mechanics
FAST SHIP SAKURAI 1e Advanced Quantum Mechanics
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Quantum Mechanics Nonrelativistic Theory by LD Landau 1981 Hardcover
Quantum Mechanics Nonrelativistic Theory by LD Landau 1981 Hardcover
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FAST SHIP LIBOFF RICHARD 4e Introductory Quantum Mechanics
FAST SHIP LIBOFF RICHARD 4e Introductory Quantum Mechanics
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Physics for Scientists and Engineers Vol 3 Modern Physics Quantum Mechanics
Physics for Scientists and Engineers Vol 3 Modern Physics Quantum Mechanics
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Applications of Group Theory in Quantum Mechanics Dover Books on Physics M I
Applications of Group Theory in Quantum Mechanics Dover Books on Physics M I
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Introduction to Quantum Mechanics Henrik Smith Good Book
Introduction to Quantum Mechanics Henrik Smith Good Book
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Quantum Mechanics for Mathematicians NEW
Quantum Mechanics for Mathematicians NEW
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Quantum Mechanics by B Reed 1995 Paperback
Quantum Mechanics by B Reed 1995 Paperback
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Modern Quantum Mechanics by Sakurai 2nd International Edition
Modern Quantum Mechanics by Sakurai 2nd International Edition
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Quantum Mechanics by Robert Scherrer 2005 Hardcover
Quantum Mechanics by Robert Scherrer 2005 Hardcover
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Fundamentals Of Quantum Mechanics by C L Tang Chu
Fundamentals Of Quantum Mechanics by C L Tang Chu
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NEW Advanced Visual Quantum Mechanics Thaller Bernd
NEW Advanced Visual Quantum Mechanics Thaller Bernd
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Algebraic Methods in Statistical Mechanics and Quantum
Algebraic Methods in Statistical Mechanics and Quantum
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Applied Quantum Mechanics by A F J Levi 2003 Ot
Applied Quantum Mechanics by A F J Levi 2003 Ot
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INTRODUCTION TO QUANTUM MECHANICS S M BLINDER PAPERBACK NEW
INTRODUCTION TO QUANTUM MECHANICS S M BLINDER PAPERBACK NEW
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Ramamurti Shankar Principles of Quantum Mechanics 1988
Ramamurti Shankar Principles of Quantum Mechanics 1988
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Quantum Mechanics in Chemistry by Melvin H Hanna 1
Quantum Mechanics in Chemistry by Melvin H Hanna 1
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The Interpretation of Quantum Mechanics Roland Omnès New Book
The Interpretation of Quantum Mechanics Roland Omnès New Book
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QUANTUM MECHANICS IN SIMPLE MATRIX FORM THOMAS F JORDAN PAPERBACK NEW
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Theoretical and Quantum Mechanics Fundamentals for Che
Theoretical and Quantum Mechanics Fundamentals for Che
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Molecular Quantum Mechanics by P W Atkins R S F
Molecular Quantum Mechanics by P W Atkins R S F
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Quantum Mechanics by F Mandl
Quantum Mechanics by F Mandl
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Bethe Jackiw Intermediate Quantum Mechanics 2nd Ed 1968
Bethe Jackiw Intermediate Quantum Mechanics 2nd Ed 1968
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Mathematical Methods in Quantum Mechanics Graduate Studies in Mathematics
Mathematical Methods in Quantum Mechanics Graduate Studies in Mathematics
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Theoretical and Quantum Mechanics Fundamentals for Che
Theoretical and Quantum Mechanics Fundamentals for Che
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Modern Quantum Mechanics by J J Sakurai 2ed
Modern Quantum Mechanics by J J Sakurai 2ed
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D I Blokhintsev Principles of Quantum Mechanics 1964
D I Blokhintsev Principles of Quantum Mechanics 1964
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Quantum Mechanics by Richard Robinett 2006
Quantum Mechanics by Richard Robinett 2006
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1965 Quantum Mechanics Non Relativistic Theory 2nd Ed
1965 Quantum Mechanics Non Relativistic Theory 2nd Ed
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Quantum Mechanics David Ferry Physics
Quantum Mechanics David Ferry Physics
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Landau Quantum Mechanics II Wiley 1996 Physics
Landau Quantum Mechanics II Wiley 1996 Physics
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P T Matthews Introduction to Quantum Mechanics 1963
P T Matthews Introduction to Quantum Mechanics 1963
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Practical Quantum Mechanics Vol I amp II
Practical Quantum Mechanics Vol I amp II
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Philip Stehle Quantum Mechanics HC Ed 1966
Philip Stehle Quantum Mechanics HC Ed 1966
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H A Kramers Quantum Mechanics 1957 Physics
H A Kramers Quantum Mechanics 1957 Physics
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Modern Quantum Mechanics by JJ Sakurai
Modern Quantum Mechanics by JJ Sakurai
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The Stability of Matter in Quantum Mechanics by Robert Seiringer and Elliott
The Stability of Matter in Quantum Mechanics by Robert Seiringer and Elliott
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Quantum Mechanics An Accessible Introduction by Robert Scherrer 2005
Quantum Mechanics An Accessible Introduction by Robert Scherrer 2005
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Quantum Mechanics 2nd edition by Greiner International Edition]
Quantum Mechanics 2nd edition by Greiner International Edition]
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Modern Quantum Mechanics 2nd edition by Sakurai International Edition]
Modern Quantum Mechanics 2nd edition by Sakurai International Edition]
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The Quantum Mechanics Solver2nd Edition035603
The Quantum Mechanics Solver2nd Edition035603
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Quantum Mechanics Schiff 2nd Ed
Quantum Mechanics Schiff 2nd Ed
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The Picture Book of Quantum Mechanics 2nd ed030213
The Picture Book of Quantum Mechanics 2nd ed030213
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NEW Quantum Mechanics for Scientists and Engineers Mi
NEW Quantum Mechanics for Scientists and Engineers Mi
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Quantum Mechanics by Ernest S Abers International Edition]
Quantum Mechanics by Ernest S Abers International Edition]
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Quantum Mechanics An Introduction 4th ed030164
Quantum Mechanics An Introduction 4th ed030164
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Quantum Mechanics Special Chapters030154
Quantum Mechanics Special Chapters030154
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Algebraic Methods in Statistical Mechanics and Quantum Field Theory Dover Books
Algebraic Methods in Statistical Mechanics and Quantum Field Theory Dover Books
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QUANTUM MECHANICS DEMYSTIFIED DAVID MCMAHON PAPERBACK NEW
QUANTUM MECHANICS DEMYSTIFIED DAVID MCMAHON PAPERBACK NEW
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Elements of Non Relativistic Quantum Mechanics032746
Elements of Non Relativistic Quantum Mechanics032746
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Elements of Statistical Mechanics With an Introduction to Quantum Field Theor
Elements of Statistical Mechanics With an Introduction to Quantum Field Theor
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NEW Problems and Solutions in Quantum Mechanics Kyria
NEW Problems and Solutions in Quantum Mechanics Kyria
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Introduction to Quantum Mechanics by Griffiths 2E
Introduction to Quantum Mechanics by Griffiths 2E
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Modern Quantum Mechanics 2010
Modern Quantum Mechanics 2010
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Quantum Mechanics by Richard W Robinett
Quantum Mechanics by Richard W Robinett
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NEW Quantum Mechanics With Basic Field Theory Desai
NEW Quantum Mechanics With Basic Field Theory Desai
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Principles of Quantum Mechanics by Paul A Dirac and P A M Dirac 1982
Principles of Quantum Mechanics by Paul A Dirac and P A M Dirac 1982
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Relativistic Quantum Mechanics by Walter Greiner 2000 Paperback Subsequent
Relativistic Quantum Mechanics by Walter Greiner 2000 Paperback Subsequent
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Mathematical Concepts Of Quantum Mechanics035721
Mathematical Concepts Of Quantum Mechanics035721
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Elements of Statistical Mechanics With an Introduction to Quantum Field Theory
Elements of Statistical Mechanics With an Introduction to Quantum Field Theory
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QUANTUM MECHANICS OF NON HAMILTONIAN AND DIS VASILY E TARASOV HARDCOVER NEW
QUANTUM MECHANICS OF NON HAMILTONIAN AND DIS VASILY E TARASOV HARDCOVER NEW
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Modern Quantum Mechanics by Sakurai 2e 0321503368
Modern Quantum Mechanics by Sakurai 2e 0321503368
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Quantum Mechanics 2E by Richard Robinett 2nd Edition NEW
Quantum Mechanics 2E by Richard Robinett 2nd Edition NEW
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FOUNDATIONS OF QUANTUM MECHANICS REINHOLD BLUMEL HARDCOVER NEW
FOUNDATIONS OF QUANTUM MECHANICS REINHOLD BLUMEL HARDCOVER NEW
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Quantum Mechanics by J L Basdevant Jean Louis Basdevant and J Dalibard
Quantum Mechanics by J L Basdevant Jean Louis Basdevant and J Dalibard
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The Picture Book of Quantum Mechanics 3rd Edition
The Picture Book of Quantum Mechanics 3rd Edition
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Quantum Mechanics for Scientists and Engineers by David A B Miller 2008
Quantum Mechanics for Scientists and Engineers by David A B Miller 2008
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Quantum Mechanics Classical Results Modern Systems a
Quantum Mechanics Classical Results Modern Systems a
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Topological Effects in Quantum Mechanics
Topological Effects in Quantum Mechanics
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Applied Quantum Mechanics by Anthony Levi
Applied Quantum Mechanics by Anthony Levi
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Quantum Mechanics
Quantum Mechanics
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Lectures on Quantum Mechanics
Lectures on Quantum Mechanics
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Group Theoretical Foundations of Quantum Mechanics
Group Theoretical Foundations of Quantum Mechanics
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Quantum Mechanics Fundamentals
Quantum Mechanics Fundamentals
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Quantum Mechanics Franz Mandl Book
Quantum Mechanics Franz Mandl Book
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Quantum Mechanics of Fundamental Systems Volume 1
Quantum Mechanics of Fundamental Systems Volume 1
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Principles of Quantum Mechanics Hans C Ohanian Acceptable Book
Principles of Quantum Mechanics Hans C Ohanian Acceptable Book
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Quantum Mechanics by Ernest S Abers 2003 Hardcover
Quantum Mechanics by Ernest S Abers 2003 Hardcover
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NEW Problems in Quantum Mechanics With Solutions
NEW Problems in Quantum Mechanics With Solutions
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Geometric Quantization and Quantum Mechanics
Geometric Quantization and Quantum Mechanics
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A Modern Approach to Quantum Mechanics International Series in Pure and Applied
A Modern Approach to Quantum Mechanics International Series in Pure and Applied
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Quaternionic Quantum Mechanics and Quantum Fields
Quaternionic Quantum Mechanics and Quantum Fields
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Problems in Quantum Mechanics With Solutions
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Quantum Mechanics

Quantum physics, lifeforms, the human mind and the spirit world

There are various artificial life or synthetic life initiatives aimed at creating from non-living components, quasi natural life forms, chemical systems that are self contained and infinitely self-replicating. If such an effort were successful it would provide a great deal of knowledge about the nature of living systems. It would also provide methodology for engineering new life forms on a new level beyond the current genetic engineering methods.

Many scientists will assume that a living system is simply a molecular mechanism no different from in its fundamental nature from an artificial mechanism. However, there are other scientists who have suggested that perhaps this isn't true. An early example of such a comment was made by the physicist, Erwin Schroendinger. In a thin volume entitled, "What is Life?", he suggested that living systems are perhaps not fully covered by known laws of chemistry and physics. However, he didn't really develop the idea in his book.

Perhaps the first formal development of such an idea is contained in an essay by another physicist, Eugene Wigner, entitled "The probability of the existence of a self-replicating unit". His conclusion is that the probability is zero. In this model, a living system is represented as a state vector: v. Its environment would also have at least one state which permits the organism to multiply: w. The total state vector of the system, the organism and its environment would be represented by the direct Kronecker product of these two vectors: v X w. After replication, the state vector would be represented as v X v X r, that is two vectors representing a pair of organisms in the altered environment. This interaction was assumed to be random, more specifically, to be governed by a random symmetric Hamiltonian matrix. This assumption might be questioned, however, it was the same assumption that enabled John Von Neumann to complete a proof that the second law of thermodynamics is a consequence of quantum mechanics.

This is an article for a popular audience so these comments probably go over the heads of most readers. Suffice to say that Eugene Wigner and John Von Neumann most definitely were not cranks.

In 1964, P. T. Landsburg, a professor at University College in Cardiff, England published an article in Nature that reiterated Wigner's results and developed them further. More recently, Prashant Chakrabarty has compiled various arguments along these lines in a paper called, "Non existence of quantum mechanical self replicating machine" that can be found on-line. So there has been some suggestion over the years that a self-contained, infinitely self-replicating system is paradoxical from the standpoint of quantum mechanics.

In this article, we try to develop this idea and suggest some implications and possible experiments.

Perhaps the most pressing and immediate implication is that any effort to create an artificial quasi-natural self-replicating system based on the the assumption that such a system can be purely mechanistic may encounter problems. The products of such an effort may not be infinitely self-replicating. They might divide a few times, but there may be a cumulative degradation of the species with each replication that causes each lineage to eventually terminate as a result of non-viability.

One of the problems may be that a quasi natural system must necessarily exist in an aqueous environment at room temperature. Under these conditions, there is a large amount of molecular motion within the system that will cause disruption to any structured activity. The result is likely to be a chaotic system. As such, it exhibits characteristics for which chaotic systems are known such as:

  • Sensitive dependence on initial conditions.
  • Bifurcations that exist at intervals of a reference variable that are dictated by Feigenbaum's number.
  • While definite statements might be made about average state of a population of such systems, it is impossible to predict the outcome in any specific instance because of the sensitive dependency and the effects of Brownian motion which are essentially random.

Therefore, with each successive generation, there may be a cumulative divergence from a vector state that is the functional equivalent of a known good initial state. The inevitable average outcome may be a divergence that is so great that it results in non-viability.

What sort of stabilization would keep the system "on-track". It would have to be plausible yet obscure. An idea that occurred to me a number of years ago is derived from what is known as Landauer's principle, first argued in 1961 by Rolf Landauer, a researcher with IBM. Roughly speaking, the idea is that a single bit of information is equivalent to an amount of negative entropy equal to k ln 2, that is, Planck's constant multiplied by the natural logarithm of 2.

Now most physicists would say that entropy is not a thing - it is an abstraction. It is the capacity of a system to do work, a convenient method for computing efficiency of heat engine cycles among other things. However, like everything else, as the frame of reference becomes smaller and smaller, there develops a sort of granularity. Space, for example, no longer conforms to the model proposed by Euclid. The number of points in a given volume are still infinite, but the infinity is now denumerable (a term taken from set theory) and the scale of this transition is defined by Heisenberg's principle of uncertainty. Likewise, going down to a molecular level, it may be that entropy no longer conforms to a Euclidean continuum of classical physics but starts to congeal into quanta: k ln 2 being of very plausible size of such a granulation. However, a quanta of entropy starts to assume characteristics associated with a "thing". It might possess something equivalent to a location within a system or it might associate itself in some way with a particular part of a molecular system.

One might imagine many such quanta in a cell, moving around, actually being used in such a way as to convey data from one part of the cell to another. After all, a quanta of entropy would be the thermodynamic equivalent of a bit of data. An artificial system might be able to use such a concept, however, artificial systems are generally far too large for such an effect to relevant.

So is this concept verifiable? Well, first of all, would-be creators of life may find that artificial systems have a very small amount of viability compared to natural systems. That would provide an impetus to look at this aspect of the problem much more carefully. Chemists will swear up and down that a molecule of synthetic biochemical is identical to a molecule of the same compound derived from a natural source. But it may turn out, that examination of individual molecules using something like force probe microscopy will show that molecules from a natural source are not quite the same as molecules created synthetically. They might exhibit quantum entanglement, which is a well-known and experimentally demonstrated effect. But it may be something of a more subtle nature such as residual entropic quanta that are still bound to the molecules. With entanglement, once it is detected, it is destroyed. So it may be possible to show that the effect is reproducible in a population of molecules but it may be inherently impossible to replicate a single measurement. Such is the almost ephemeral nature of quantum mechanics.

Up to this point, we have described work indicating that a self-contained, indefinitely self-replicating system may be paradoxical from the standpoint of quantum physics. If entropic quanta are simply an extension of quantum physics, then they still may come up short in resolving such a paradox.

The idea may require a further extension involving time. Entropic quanta would be neither matter nor energy. As such, traveling at speeds greater than light would not present the same issues as it would for a photon or a particle of matter. There is still the no-communication theorem, though. Such a principle applies to quantum entanglement. The time delay of an entanglement must conform to the no-communication theorem. Still, quantum physics is rather quirky and there seem to be odd loopholes in seemingly immutable principles, e.g., the re-phasing of light in cesium vapor results in a propagation delay slightly smaller than that of the speed of light in a vacuum.

If entropic quanta travel within a cell at the equivalent of super-luminary speeds, the time delay would assume the characteristics of a complex number, that is, containing a component multiplied by i, the square root of negative 1. That causes various problems that I will not try to resolve in this discussion. I simply suggest that the extended aspect that resolves the paradox may involve the fact that living systems do not exist entirely within the bounds of real time. This may suggest that they do not exist entirely within the bounds of real space either. The distance between two points of interaction within the reference frame of entropic quanta may be much smaller than the apparent distance measured in real space, sort of like a worm hole at a molecular level.

Such a possibility might have bearing on the classic philosophical question of the nature of freedom of will. For example, the neurobiologist, Dr. Gunther Stent has commented, "the idea of willing something freely is logically incompatible with another innate intuition of ours, namely, determinism. According to determinism, a network of causal connections determines everything that has happened in the past and will determine everything that is going to happen in the future. Hence, any event (including our willing something) would be the effect of a chain of prior events that were themselves determined by yet earlier events. Freedom of the will would thus be a mere delusion."

However, if all living systems including the human mind extend partly outside of real time and space, then they are not strictly deterministic. If such were the case, free will would have little to do with the linear determinism imposed by unidimensional and unidirectional constraints of real time.

If this extension is expressed in some sort of medium that can be identified and measured, perhaps entropic quanta for example, then it may be possible to demonstrate such an extension in a scientific manner. It may also be possible to make determination of some sort about existence outside of real space and time from a meta-time or a meta-space aspect of the human mind.

Every human culture on this planet seems to refer to an existence that is apparently outside of real space, a spirit world of some sort. If it is not bounded by real space, a reasonable extension of such a proposition is that is not bounded by real time either. An argument put forth against the existence of God is that such an existence would violate the law cause and effect. However, if the temporal aspect of God's existence has more than one dimension, then its locus might be illustrated by a circle or other locus with a topological genus greater than zero. It would have no beginning or end and thus would extend beyond assumptions derived from the law of cause and effect.

This article as well as others are posted on my forum at:
http://www.rimkor7.com/phpBB3/viewtopic.php?f=7&t=105#p117

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