Law of infinitesimals
Law of least action and the homeopathy dilution

Law of infinitesimals

[Law of infinitesimals \ homeopathy dilution] Synonym or similar to the "law of least action" applied on homeopathic dilutions (definition). It can be called one of the most important laws in homeopathy. Opponents argue that one of the laws of chemistry, the Avogadro's number is the limit for dilution, but this is Newtonian logic denying relativity and simple mathematics. Most homeopathic dilutions are "close to zero", this law is therefore appropriate. 

Law of least action

[Law of least action \ mathematics \ dilution] The quantity of action necessary to affect any change in nature is the least possible; the decisive amount is always a minimum, an infinitesimal. This is a mathematical law formulated by Maupertius a French mathematician. The law is also a basic axiom in current mathematics and therefore physics, with "The fundamental theorem of calculus" which is translated into simple English: "The sum of infinitesimal changes in a quantity over another quantity add up to the net change in the quantity".

To demonstrate that this law is appropriate for homeopathic dilutions: Suppose we dilute a mass x with an amount y, a dilution with a new ratio a remains and can be written as a(y) [a is a function of the amount y and has still a relation with the infinitesimal x]:

To formulate this in Leibniz's notation (d = derivate):


To express this in a D (1:10 steps) dilution we must suppose the dilution Q with the diluting substance mass m₁ and the medium to dilute with m₂. The ratio of the dilution is then at all times:

m₁ : m₂^10x= Q   

  To formulate this in Leibniz's notation (d = derivate):

The medium m₂ remains to have the same relation with the original substance m₁ and it shows that is does not matter how much of the medium (Δm₂ [small piece of m₂] is the remedy ultimately) is taken or how many times diluted, this just changes the strength of the potentation but not the ratio. See Homeopathy vs. relativity and How many times repeat homeopathic remedy

For the main discussion on:

Law of infinitesimals

Homeopathic aggravation
Homeopathy ABC overview
Homeopathy: Conventions vs. principles
Homeopathy evidence
Homeopathy limits
Homeopathy: totality & holism
How long do homeopathic dilutions work
How many times repeat homeopathic remedy
Use classical homeopathy
Use Homeopathy

Health on macro, quantum and relativity level

Homeopathy is relativity
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