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Homeopathy is a system of alternative medicine based on "like cures like" principle, which states that what causes illness in healthy people can cure ill people. Homeopathis treatments mainly use the process of dilution, which starts with an undiluted substance, and then repeatedly mixes it with pure water or alcohol, leading to exponentially decreasing concentration. There are few potency scales which are being used:

  1. X scale (or D scale), in which nX (or nD) is defined as concentration of one part in \(10^n\)
  2. C scale, in which nC is defined as concentration of one part in \(100^n\)
  3. M scale
  4. Q scale, in which nQ is defined as concentration of one part in \(50000^n\)

For instance, a 3C dilution is a dilution by a factor of \(100^3=10^6\), and 200C is a dilution by a factor of \(100^{200}=10^{400}\). Since there are many orders of magnitude less elementary particles in the Universe (about \(10^{80}\)), such dilution would be inditinguishable from pure water or alcohol, which leads to serious doubts about of any impact of the diluted substance.

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