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Self-replication

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Self-replication is a fundamental behavior of a dynamical system. It occurs when a system produces an identical or similar copy of itself. This process is essential for the continuation of life and the growth of complex systems. In biology, cells reproduce through cell division. During this process, DNA is replicated so it can be passed to offspring.

DNA chemical structure
DNA chemical structure

Even non-living things can show these traits. Viruses replicate by hijacking the reproductive machinery of a host cell. Harmful prion proteins replicate by converting normal proteins into rogue forms. In the digital world, computer viruses use existing hardware and software to reproduce.

To understand how this works, we can look at the theory of John von Neumann. His research established that replicators generally require three specific components. First, they need a coded representation of the replicator itself. Second, they need a mechanism to copy that coded information. Third, they need a mechanism to carry out construction within the host environment.

DNA chemical structure
DNA chemical structure

Scientists have attempted to recreate this in laboratories. In 2021, researchers built a system using sixteen specially designed DNA sequences. By changing the temperature up and down, they could link four sequences together following a template. This increased the number of template copies in each cycle without needing an external enzyme.

Self-replication is considered a core feature of the origin of life. One theory suggests it emerged when a molecule similar to a double-stranded polynucleotide, perhaps RNA, dissociated into single strands. Each strand then acted as a template to synthesize a complementary strand. This produced two double-stranded copies from the original.

DNA chemical structure
DNA chemical structure

These early replicators could compete for available mononucleotide resources. If a sequence was more "fit," it would survive better. Because these early processes were often inaccurate, they produced mutations. These mutations caused genetic variation, allowing natural selection to drive the evolution of life.

Researchers categorize replicators based on how much support they require. Natural replicators, like living organisms, use designs from nonhuman sources. Autotrophic replicators are systems that can reproduce "in the wild" by mining their own materials. Scientists conjecture that humans could design non-biological autotrophic replicators to create specific products. Self-reproductive systems might use industrial feedstocks like metal wire to build copies. Finally, self-assembling systems use finished, delivered parts to build themselves. A study by Robert Freitas and Ralph Merkle identified 137 design dimensions for machine replicators, including replication control and energetics.

Self-replication also appears in the field of geometry through self-replicating tilings. These are patterns where several congruent tiles join to form a larger tile similar to the original. This is part of a study called tessellation. One famous example is the "sphinx" hexiamond, which is the only known self-replicating pentagon.

Self-replication of sphynx hexidiamonds
Self-replication of sphynx hexidiamonds

By joining four of these shapes, you can create a larger sphinx. Solomon W. Golomb called these "rep-tiles." Lee Sallows later identified them as a special type of "setiset." A setiset of order $n$ uses $n$ shapes to form larger replicas. A "perfect" setiset is one where every shape in the set is distinct.

A rep-tile-based setiset of order 4
A rep-tile-based setiset of order 4

In computer science, a self-reproducing program is called a quine. When executed, a quine outputs its own source code. A simpler method involves a program that copies any data stream directed at it. If that stream is the program's own code, it becomes self-reproducing. This is similar to how biological life works, where the program is treated as both executable code and data. This approach is often simpler because the program does not need to contain a complete description of itself.

Engineers are interested in creating "clanking replicators," which are mechanical devices that can copy themselves. The goal is to lower the cost of manufactured goods by avoiding labor and distribution costs. A NASA study estimated that the complexity of such a device is similar to an Intel Pentium 4 CPU. This suggests the technology is achievable with a small engineering group. In robotics, a self-replicating machine would need to obtain materials, manufacture parts, provide power, and correct errors. This research connects to many fields, from nanotechnology to space resource mining, where NASA studies machines that can copy themselves to work in space.

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File:DNA chemical structure.svg
DNA chemical structure.svg
File:Self-replication of sphynx hexidiamonds.svg
Self-replication of sphynx hexidiamonds.svg
File:A rep-tile-based setiset of order 4.png
A rep-tile-based setiset of order 4.png
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