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Self-replicating machine

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A simple form of machine self-replication

A self-replicating machine is an artificial construct that is theoretically capable of autonomously manufacturing a copy of itself using raw materials taken from its environment. The concept of self-replicating machines has been advanced and examined by Homer Jacobsen, Edward F. Moore, Freeman Dyson, John von Neumann and in more recent times by K. Eric Drexler in his book on nanotechnology, Engines of Creation and by Robert Freitas and Ralph Merkle in their review Kinematic Self-Replicating Machines[1] which provided the first comprehensive analysis of the entire replicator design space. The future development of such technology has featured as an integral part of several plans involving the mining of moons and asteroid belts for ore and other materials, the creation of lunar factories and even the construction of solar power satellites in space. The possibly misnamed von Neumann probe[2] is one theoretical example of such a machine. Von Neumann also worked on what he called the universal constructor, a self-replicating machine that would operate in a cellular automata environment.

A self-replicating machine is, as the name suggests, an artificial self-replicating system that relies on conventional large-scale technology and automation. Certain idiosyncratic terms are occasionally found in the literature. For example, the term "clanking replicator" was once used by Drexler[3] to distinguish macroscale replicating systems from the microscopic nanorobots or "assemblers" that nanotechnology may make possible, but the term is informal and is rarely used by others in popular or technical discussions. Replicators have also been called "von Neumann machines" after John von Neumann, who first rigorously studied the idea. But this term ("von Neumann machine") is less specific and also refers to a completely unrelated computer architecture proposed by von Neumann, so its use is discouraged where accuracy is important. Von Neumann himself used the term universal constructor to describe such self-replicating machines.

Historians of machine tools, even before the numerical control era, sometimes spoke figuratively of machine tools as a class of machines that is unique because they have the ability "to reproduce themselves",[4] by which they meant the ability to make copies of all of their parts. However, implicit in such discussions is the fact that a human would be directing the cutting processes (or, later, at least planning and programming them) and then assembling the parts. The same is true of RepRaps, which are another class of machines sometimes mentioned in reference to such non-autonomous "self-replication". In contrast, machines that are truly (autonomously) self-replicating are the main subject discussed here.

Basic concept

A self-replicating machine would need to have the capacity to gather energy and raw materials, process the raw materials into finished components, and then assemble them into a copy of itself. Further, for a complete self-replication, it must, from scratch, produce its smallest parts, such as bearings, connectors and delicate and intricate electronic components. It is unlikely that this would all be contained within a single structure, but would rather be a group of cooperating machines or an automated factory that is capable of manufacturing all of the machines that comprise it.

The factory could produce mining robots to collect raw materials, construction robots to assemble new machines, and repair robots to maintain itself against wear and tear, all without human intervention or direction. The advantage of such a system lies in its ability to expand its own capacity rapidly and without additional human effort. In essence, the initial investment required to construct the first self-replicating device would have an infinitely large payoff with no additional labor cost.

Such a machine violates no physical laws, and the basic technologies necessary for some of the more detailed proposals and designs already exist.

History of the concept

The general concept of artificial machines capable of producing copies of themselves dates back at least several hundred years. An early reference is an anecdote regarding the philosopher René Descartes, who suggested to Queen Christina of Sweden that the human body could be regarded as a machine; she responded by pointing to a clock and ordering "see to it that it reproduces offspring."[5] Several other variations on this anecdotal response also exist. Samuel Butler proposed in his 1872 novel Erewhon that machines were already capable of reproducing themselves but it was man who made them do so,[6] and added that "machines which reproduce machinery do not reproduce machines after their own kind".[7]

In 1802 William Paley formulated the first known teleological argument depicting machines producing other machines,[8] suggesting that the question of who originally made a watch was rendered moot if it were demonstrated that the watch was able to manufacture a copy of itself.[9] Scientific study of self-reproducing machines was anticipated by John Bernal as early as 1929[10] and by mathematicians such as Stephen Kleene who began developing recursion theory in the 1930s.[11] Much of this latter work was motivated by interest in information processing and algorithms rather than physical implementation of such a system, however.

von Neumann's kinematic model

A detailed conceptual proposal for a physical non-biological self-replicating system was first put forward by mathematician John von Neumann in lectures delivered in 1948 and 1949, when he proposed a kinematic self-reproducing automaton model as a thought experiment.[12][13] Von Neumann's concept of a physical self-replicating machine was dealt with only abstractly, with the hypothetical machine using a "sea" or stockroom of spare parts as its source of raw materials. The machine had a program stored on a memory tape that directed it to retrieve parts from this "sea" using a manipulator, assemble them into a duplicate of itself, and then copy the contents of its memory tape into the empty duplicate's. The machine was envisioned as consisting of as few as eight different types of components; four logic elements that send and receive stimuli and four mechanical elements used to provide a structural skeleton and mobility. While qualitatively sound, von Neumann was evidently dissatisfied with this model of a self-replicating machine due to the difficulty of analyzing it with mathematical rigor. He went on to instead develop an even more abstract model self-replicator based on cellular automata.[14] His original kinematic concept remained obscure until it was popularized in a 1955 issue of Scientific American.[15]

Moore's artificial living plants

In 1956 mathematician Edward F. Moore proposed the first known suggestion for a practical real-world self-replicating machine, also published in Scientific American.[16][17] Moore's "artificial living plants" were proposed as machines able to use air, water and soil as sources of raw materials and to draw its energy from sunlight via a solar battery or a steam engine. He chose the seashore as an initial habitat for such machines, giving them easy access to the chemicals in seawater, and suggested that later generations of the machine could be designed to float freely on the ocean's surface as self-replicating factory barges or to be placed in barren desert terrain that was otherwise useless for industrial purposes. The self-replicators would be "harvested" for their component parts, to be used by humanity in other non-replicating machines.

Dyson's replicating systems

The next major development of the concept of self-replicating machines was a series of thought experiments proposed by physicist Freeman Dyson in his 1970 Vanuxem Lecture.[18][19] He proposed three large-scale applications of machine replicators. First was to send a self-replicating system to Saturn's moon Enceladus, which in addition to producing copies of itself would also be programmed to manufacture and launch solar sail-propelled cargo spacecraft. These spacecraft would carry blocks of Enceladean ice to Mars, where they would be used to terraform the planet. His second proposal was a solar-powered factory system designed for a terrestrial desert environment, and his third was an "industrial development kit" based on this replicator that could be sold to developing countries to provide them with as much industrial capacity as desired. When Dyson revised and reprinted his lecture in 1979 he added proposals for a modified version of Moore's seagoing artificial living plants that was designed to distill and store fresh water for human use[20] and the "Astrochicken."

Advanced Automation for Space Missions

An artist's conception of a "self-growing" robotic lunar factory

In 1980, inspired by a 1979 "New Directions Workshop" held at Wood's Hole, NASA conducted a joint summer study with ASEE entitled Advanced Automation for Space Missions to produce a detailed proposal for self-replicating factories to develop lunar resources without requiring additional launches or human workers on-site. The study was conducted at Santa Clara University and ran from June 23 to August 29, with the final report published in 1982.[21] The proposed system would have been capable of exponentially increasing productive capacity and the design could be modified to build self-replicating probes to explore the galaxy.

The reference design included small computer-controlled electric carts running on rails inside the factory, mobile "paving machines" that used large parabolic mirrors to focus sunlight on lunar regolith to melt and sinter it into a hard surface suitable for building on, and robotic front-end loaders for strip mining. Raw lunar regolith would be refined by a variety of techniques, primarily hydrofluoric acid leaching. Large transports with a variety of manipulator arms and tools were proposed as the constructors that would put together new factories from parts and assemblies produced by its parent.

Power would be provided by a "canopy" of solar cells supported on pillars. The other machinery would be placed under the canopy.

A "casting robot" would use sculpting tools and templates to make plaster molds. Plaster was selected because the molds are easy to make, can make precise parts with good surface finishes, and the plaster can be easily recycled afterward using an oven to bake the water back out. The robot would then cast most of the parts either from nonconductive molten rock (basalt) or purified metals. A carbon dioxide laser cutting and welding system was also included.

A more speculative, more complex microchip fabricator was specified to produce the computer and electronic systems, but the designers also said that it might prove practical to ship the chips from Earth as if they were "vitamins."

A 2004 study supported by NASA's Institute for Advanced Concepts took this idea further.[22] Some experts are beginning to consider self-replicating machines for asteroid mining.

Much of the design study was concerned with a simple, flexible chemical system for processing the ores, and the differences between the ratio of elements needed by the replicator, and the ratios available in lunar regolith. The element that most limited the growth rate was chlorine, needed to process regolith for aluminium. Chlorine is very rare in lunar regolith.

Lackner-Wendt Auxon replicators

In 1995, inspired by Dyson's 1970 suggestion of seeding uninhabited deserts on Earth with self-replicating machines for industrial development, Klaus Lackner and Christopher Wendt developed a more detailed outline for such a system.[23][24][25] They proposed a colony of cooperating mobile robots 10–30 cm in size running on a grid of electrified ceramic tracks around stationary manufacturing equipment and fields of solar cells. Their proposal didn't include a complete analysis of the system's material requirements, but described a novel method for extracting the ten most common chemical elements found in raw desert topsoil (Na, Fe, Mg, Si, Ca, Ti, Al, C, O2 and H2) using a high-temperature carbothermic process. This proposal was popularized in Discover Magazine, featuring solar-powered desalination equipment used to irrigate the desert in which the system was based.[26] They named their machines "Auxons", from the Greek word auxein which means "to grow."

Recent work

Self-replicating rapid prototypers

RepRap 1.0 "Darwin" prototype

Early experimentation with rapid prototyping in 1997-2000 was not expressly oriented toward reproducing rapid prototyping systems themselves, but rather extended simulated "evolutionary robotics" techniques into the physical world. Later developments in rapid prototyping have given the process the ability to produce a wide variety of electronic and mechanical components, making this a rapidly developing frontier in self-replicating system research.[27]

In 1998 Chris Phoenix informally outlined a design for a hydraulically-powered replicator a few feet in volume that used ultraviolet light to cure soft plastic feedstock and a fluidic logic control system, but didn't address most of the details of assembly procedures, error rates, or machining tolerances.[28][29]

All of the plastic parts for the machine on the right were produced by the almost identical machine on the left. (Adrian Bowyer (left) and Vik Olliver(right) are members of the RepRap project.)

In 2005, Adrian Bowyer of the University of Bath started the RepRap Project to develop a rapid prototyping machine which would be able to manufacture some or most of its own components, making such machines cheap enough for people to buy and use in their homes. The project is releasing its designs and control programs under the GNU GPL.[30] The RepRap approach uses fused deposition modeling to manufacture plastic components, possibly incorporating conductive pathways for circuitry. Other components, such as steel rods, nuts and bolts, motors and separate electronic components, would be supplied externally. In 2006 the project produced a basic functional prototype and in May 2008 the machine succeeded in producing all of the plastic parts required to make a 'child' machine.

NIAC studies on self-replicating systems

In the spirit of the 1980 "Advanced Automation for Space Missions" study, the NASA Institute for Advanced Concepts began several studies of self-replicating system design in 2002 and 2003. Four phase I grants were awarded:

Cornell University's self-assembler

In 2005, a team of researchers at Cornell University, including Hod Lipson, implemented a self-assembling machine. The machine is composed of a tower of four articulated cubes, known as molecubes, which can revolve about a triagonal. This enables the tower to function as a robotic arm, collecting nearby molecubes and assembling them into a copy of itself. The arm is directed by a computer program, which is contained within each molecube, analogous to how each animal cell contains an entire copy of its DNA. However, the machine cannot manufacture individual molecubes, nor do they occur naturally, so its status as a self-replicator is debatable.[37]

Partial construction

Partial construction is the concept that the constructor creates a partially constructed (rather than fully formed) offspring, which is then left to complete its own construction.[38][39]

The von Neumann model of self-replication envisages that the mother automaton should construct all portions of daughter automatons, without exception and prior to the initiation of such daughters. Partial construction alters the construction relationship between mother and daughter automatons, such that the mother constructs but a portion of the daughter, and upon initiating this portion of the daughter, thereafter retracts from imparting further influence upon the daughter. Instead, the daughter automaton is left to complete its own development. This is to say, means exist by which automatons may develop via the mechanism of a zygote.

Self-replicating spacecraft

The idea of an automated spacecraft capable of constructing copies of itself was first proposed in scientific literature in 1974 by Michael A. Arbib,[40][41] but the concept had appeared earlier in science fiction such as the 1967 novel Berserker by Fred Saberhagen or the 1950 novellette trilogy The Voyage of the Space Beagle by A. E. van Vogt (see self-replicating machines in fiction, below). The first quantitative engineering analysis of a self-replicating spacecraft was published in 1980 by Robert Freitas,[42] in which the non-replicating Project Daedalus design was modified to include all subsystems necessary for self-replication. The design's strategy was to use the probe to deliver a "seed" factory with a mass of about 443 tons to a distant site, have the seed factory replicate many copies of itself there to increase its total manufacturing capacity, and then use the resulting automated industrial complex to construct more probes with a single seed factory on board each.

Other references

  • A number of patents have been granted for self-replicating machine concepts.[43] The most directly relevant include U.S. patent 4,734,856 "Autogeneric system" Inventor: Davis; Dannie E. (Elmore, AL) (March 1988), U.S. patent 5,659,477 "Self reproducing fundamental fabricating machines (F-Units)" Inventor: Collins; Charles M. (Burke, VA) (August 1997), U.S. patent 5,764,518 " Self reproducing fundamental fabricating machine system" Inventor: Collins; Charles M. (Burke, VA)(June 1998); Collins' PCT:[44] and U.S. patent 6,510,359 "Method and system for self-replicating manufacturing stations" Inventors: Merkle; Ralph C. (Sunnyvale, CA), Parker; Eric G. (Wylie, TX), Skidmore; George D. (Plano, TX) (January 2003).
  • In 1995, Nick Szabo proposed a challenge to build a macroscale replicator from Lego(tm) robot kits and similar basic parts.[45] Szabo wrote that this approach was easier than previous proposals for macroscale replicators, but successfully predicted that even this method would not lead to a macroscale replicator within ten years.
  • In 2004, Robert Freitas and Ralph Merkle published the first comprehensive review of the field of self-replication (from which much of the material in this article is derived, with permission of the authors), in their book Kinematic Self-Replicating Machines, which includes 3000+ literature references.[1] This book included a new molecular assembler design,[46] a primer on the mathematics of replication,[47] and the first comprehensive analysis of the entire replicator design space.[48]

Self-replicating machines in fiction

In fiction, the idea dates back at least as far as Karel Čapek's 1920 play R.U.R. (Rossum's Universal Robots).[49] A fundamental obstacle of self-replicating machines, how to repair the repair systems, was the critical failure in the automated society described in The Machine Stops.

A. E. van Vogt used the idea as a plot device in his story "M33 in Andromeda" (1943), which was later combined with the three other Space Beagle short stories to became the novel, The Voyage of the Space Beagle. The story describes the creation of self-replicating weapons factories designed to destroy the Anabis, a galaxy-spanning malevolent life form bent on destruction of the human race.

An early treatment was the short story Autofac by Philip K. Dick, published in 1955.[50][51] Dick also touched on this theme in his earlier 1953 short story Second Variety. Another example can be found in the 1962 short story Epilogue by Poul Anderson, in which self-replicating factory barges were proposed that used minerals extracted from ocean water as raw materials.[50]

In his short story "Crabs on the Island" (1958) Anatoly Dneprov speculated on the idea that since the replication process is never 100% accurate, leading to slight differences in the descendants, over several generations of replication the machines would be subjected to evolution similar to that of living organisms. In the story, a machine is designed, the sole purpose of which is to find metal to produce copies of itself, intended to be used as a weapon against an enemy's war machines. The machines are released on a deserted island, the idea being that once the available metal is all used and they start fighting each other, natural selection will enhance their design. However, the evolution has stopped by itself when the last descendant, an enormously large crab, was created, being unable to reproduce itself due to lack of energy and materials.

Stanisław Lem has also studied the same idea in his novel The Invincible (1964), in which the crew of a spacecraft landing on a distant planet finds a non-biological life-form, which is the product of long, possibly of millions of years of, mechanical evolution. This phenomenon is also key to the aforementioned Anderson story.

John Sladek used the concept to humorous ends in his first novel The Reproductive System (1968, also titled Mechasm in some markets), where a U.S. military research project goes out of control.[52]

NASA's Advanced Automation for Space Missions study directly inspired the science fiction novel Code of the Lifemaker (1983) by author James P. Hogan.

The movie Screamers, based on Dick's short story Second Variety, features a group of robot weapons created by mankind to act as Von Neumann devices / berserkers. The original robots are subterranean buzzsaws that make a screaming sound as they approach a potential victim beneath the soil. These machines are self-replicating and, as is found out through the course of the movie, they are quite intelligent and have managed to "evolve" into newer, more dangerous forms, most notably human forms which the real humans in the movie cannot tell apart from other real humans except by trial and error.

The Terminator is a 1984 science fiction/action film directed and co-written by James Cameron which describes a war between mankind and self replicating machines led by a central artificial intelligence known as Skynet. Machine civilizations are a recurring theme in fiction.

The concept is also widely utilised in science fiction television. The TV series Lexx featured an army of self replicating robots known as Mantrid drones. Additionally, the Replicators are a horde of self-replicating machines that appear frequently in Stargate SG-1, and Star Trek's Borg and "nanites"[53][54][55] could also be considered self-replicating machines.

Other notable works containing replicators

Prospects for implementation

As the use of industrial automation has expanded over time, some factories have begun to approach a semblance of self-sufficiency that is suggestive of self-replicating machines.[56] However, such factories are unlikely to achieve "full closure"[57] until the cost and flexibility of automated machinery comes close to that of human labour and the manufacture of spare parts and other components locally becomes more economical than transporting them from elsewhere. As Samuel Butler has pointed out in Erewhon, replication of partially closed universal machine tool factories is already possible. Since safety is a primary goal of all legislative consideration of regulation of such development, future development efforts may be limited to systems which lack either control, matter, or energy closure. Fully-capable machine replicators are most useful for developing resources in dangerous environments which are not easily reached by existing transportation systems (such as outer space).

An artificial replicator can be considered to be a form of artificial life. Depending on its design, it might be subject to evolution over an extended period of time.[58] However, with robust error correction, and the possibility of external intervention, the common science fiction scenario of robotic life run amok will remain extremely unlikely for the foreseeable future.[59]

See also

References

  1. ^ a b Freitas, Robert A. (2004). Kinematic Self-Replicating Machines. Georgetown, Texas: Landes Bioscience. ISBN 1-57059-690-5. {{cite book}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  2. ^ "3.11". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  3. ^ a b Drexler, K. Eric (1986). "Engines of Abundance (Chapter 4) Clanking Replicators". Engines of Creation.
  4. ^ Colvin 1947, pp. 6–7.
  5. ^ Sipper, Moshe (2001). "Build Your Own Replicator". Scientific American. 285: 38–39. {{cite journal}}: Unknown parameter |coauthors= ignored (|author= suggested) (help); Unknown parameter |month= ignored (help) Several other variations on this anecdotal response also exist.
  6. ^ "1". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  7. ^ Author: Samuel Butler. "Erewhon, Chapter 24, The book Of the Machines". Nzetc.org. Retrieved 2009-09-16. {{cite web}}: |author= has generic name (help)
  8. ^ "1". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  9. ^ Paley, William (1802). "Chapter i, Section 1". Natural Theology: or Evidences of the Existence and Attributes of the Deity, Collected from the Appearances of Nature. E. Goodale. ISBN 0576291668.; (12th Edition, 1809) See also: Michael Ruse, ed. (1998). Philosophy of Biology. pp. 36–40.; Lenski, Richard (2001). "Twice as Natural". Nature. 414 (6861): 255. doi:10.1038/35104715. PMID 11713507. {{cite journal}}: Unknown parameter |month= ignored (help)
  10. ^ Bernal, John Desmond (1929). "The World, the Flesh and the Devil: An Enquiry into the Future of the Three Enemies of the Rational Soul".
  11. ^ "1". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  12. ^ von Neumann, John (1966). A. Burks (ed.). The Theory of Self-reproducing Automata. Urbana, IL: Univ. of Illinois Press. ISBN 0598377980.
  13. ^ "2.1". Molecularassembler.com. Retrieved 2009-09-16.
  14. ^ "2.1.3". Molecularassembler.com. Retrieved 2009-09-16.
  15. ^ Kemeny, John G. (1955). "Man Viewed as a Machine". Scientific American. 192 (4): 58–67. doi:10.1038/scientificamerican0455-58. {{cite journal}}: Unknown parameter |month= ignored (help)
  16. ^ Moore, Edward F. (1956). "Artificial Living Plants". Scientific American. 195 (4): 118–126. doi:10.1038/scientificamerican1056-118. {{cite journal}}: Unknown parameter |month= ignored (help)
  17. ^ "3.1". Molecularassembler.com. Retrieved 2009-09-16.
  18. ^ Freeman J. Dyson, "The twenty-first century," Vanuxem Lecture delivered at Princeton University, 26 February 1970.
  19. ^ "3.6". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  20. ^ Dyson, Freeman J. (1979). Chapter 18: Thought Experiments. New York: Harper and Row. pp. 194–204. {{cite book}}: |work= ignored (help)
  21. ^ Robert Freitas, William P. Gilbreath, ed. (1982). Advanced Automation for Space Missions. NASA Conference Publication CP-2255 (N83-15348).
  22. ^ http://www.niac.usra.edu/studies/883Toth-Fejel.html
  23. ^ Lackner, Klaus S. (1995). ""Exponential growth of large self-replicating machine systems". Mathl. Comput. Modelling. 21 (10): 55–81. doi:10.1016/0895-7177(95)00071-9. {{cite journal}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  24. ^ Lackner, Klaus S., and Wendt, Christopher H., "Self-reproducing machine systems for global scale projects," Document LA-UR-93-2886, 4th International Conference and Exposition on Engineering, Construction and Operations in Space/Conference and Exposition/Demonstrations on Robotic for Challenging Environments, Albuquerque, New Mexico, 26 February - 3 March 1994
  25. ^ "3.15". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  26. ^ Bass, Thomas (1995). "Robot, build thyself". Discover: 64–72. {{cite journal}}: Unknown parameter |month= ignored (help)
  27. ^ "Freitas 2004, p. 64-67". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  28. ^ Christopher J. Phoenix (March 21, 1998). "Partial design for macro-scale machining self-replicator". Newsgroupsci.nanotech.
  29. ^ "3.20". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  30. ^ "WebHome". Retrieved 2007-02-18.
  31. ^ Lipson, Hod. "Autonomous Self-Extending Machines for Accelerating Space Exploration" (PDF). Retrieved 2007-01-04. {{cite web}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  32. ^ Chirikjian, Gregory S. (April 26, 2004). "An Architecture for Self-Replicating Lunar Factories" (PDF). Retrieved 2007-01-04.
  33. ^ Todd, Paul (30 April 2004). "Final Progress Report on Robotic Lunar Ecopoiesis Test Bed" (PDF). Retrieved 2007-01-04. (phase I report)
  34. ^ Todd, Paul (July 6, 2006). "Robotic Lunar Ecopoiesis Test Bed" (PDF). Retrieved 2007-01-04. (phase II report)
  35. ^ Toth-Fejel, Tihamer (April 30, 2004). "Modeling Kinematic Cellular Automata" (PDF). Retrieved 2007-01-04. {{cite web}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  36. ^ "3.25.4". Molecularassembler.com. Retrieved 2009-09-16.
  37. ^ "Researchers build a robot that can reproduce". Physorg.com. 2005-05-11. Retrieved 2010-06-30.
  38. ^ Buckley, William R. (2008). "Signal Crossing Solutions in von Neumann Self-replicating Cellular Automata". Automata 2008.
  39. ^ Buckley, William R. (2008). "Computational Ontogeny". Biological Theory. 3 (1): 3. doi:10.1162/biot.2008.3.1.3.
  40. ^ "3.11". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  41. ^ Arbib, Michael A. (1974). Cyril Ponnamperuma, A. G. W. Cameron (ed.). "The Likelihood of the Evolution of Communicating Intelligences on Other Planets. Boston: Houghton Mifflin Company. pp. 59–78. {{cite book}}: |work= ignored (help)
  42. ^ Freitas, Robert A., Jr. (1980). "A Self-Reproducing Interstellar Probe". Journal of the British Interplanetary Society. 33: 251–264. Retrieved 2008-10-01. {{cite journal}}: Unknown parameter |month= ignored (help)CS1 maint: multiple names: authors list (link)
  43. ^ "3.16". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  44. ^ WIPO. "(WO/1996/020453) SELF REPRODUCING FUNDAMENTAL FABRICATING MACHINES (F-UNITS)". Wipo.int. Retrieved 2009-09-16.
  45. ^ Szabo, Nick. "Macroscale Replicator". Archived from the original on 2006-03-07. Retrieved 2007-03-07.
  46. ^ "4.11.3". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  47. ^ "5.9". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  48. ^ "5.1.9". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  49. ^ "1". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  50. ^ a b "3.1". Molecularassembler.com. Retrieved 2009-09-16.
  51. ^ "5.11". Molecularassembler.com. Retrieved 2009-09-16.
  52. ^ "5.5". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  53. ^ "What is nanomachine? Definition from WhatIs.com — see also: nanite". Whatis.techtarget.com. 2005-09-21. Retrieved 2009-09-16.
  54. ^ "Evolution (episode) - Memory Alpha, the Star Trek Wiki". Memory-alpha.org. 2009-08-20. Retrieved 2009-09-16.
  55. ^ "Nanite — Memory Alpha, the Star Trek Wiki". Memory-alpha.org. Retrieved 2009-09-16.
  56. ^ "3.7". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  57. ^ "5.6". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  58. ^ "5.1.9.L". Molecularassembler.com. 2005-08-01. Retrieved 2009-09-16.
  59. ^ "5.11". Molecularassembler.com. Retrieved 2009-09-16.

Bibliography