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Thread: Eliminating Errors in Experiments

  1. #1 Eliminating Errors in Experiments 
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    I have a way to remove errors from experiments.

    Construct your experiment such that it measures a value and the complement value (in the mathematical dual system), and such that it measures at the same time (or other parameter being the same).

    We assume that you have the exact transformation (T) from the original to the dual and that T is linear and invertible.

    Now for:

    M_EX = your measured value
    M_EX,CP = your measured complement value (in the dual system)
    M_C = the exact value in the base system (not the dual)
    M_E = the error in the base system

    M_EX = M_C + M_E

    and we construct this formula in the dual system:

    M_EX,CP = T(M_C + M_E) = T(M_C) + T(M_E).

    Now M_EX and M_EX,CP are known and T(M_C) and T(M_E) can be computed. Now the idea is to choose a M_C and adjust it untill:

    M_E = T^(-1)(T (M_E))

    using the above two formulas.

    If this is satisfied you have the exact value of M_C.

    Earth owes me.


    It also matters what isn't there - Tao Te Ching interpreted.
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  3. #2 Re: Eliminating Errors in Experiments 
    . DrRocket's Avatar
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    Quote Originally Posted by talanum1
    I have a way to remove errors from experiments.

    Construct your experiment such that it measures a value and the complement value (in the mathematical dual system), and such that it measures at the same time (or other parameter being the same).

    We assume that you have the exact transformation (T) from the original to the dual and that T is linear and invertible.

    Now for:

    M_EX = your measured value
    M_EX,CP = your measured complement value (in the dual system)
    M_C = the exact value in the base system (not the dual)
    M_E = the error in the base system

    M_EX = M_C + M_E

    and we construct this formula in the dual system:

    M_EX,CP = T(M_C + M_E) = T(M_C) + T(M_E).

    Now M_EX and M_EX,CP are known and T(M_C) and T(M_E) can be computed. Now the idea is to choose a M_C and adjust it untill:

    M_E = T^(-1)(T (M_E))

    using the above two formulas.

    If this is satisfied you have the exact value of M_C.

    Earth owes me.
    This is nuts.

    If you could possibley fulfill these conditions there be no reason to do the experiment in the first place.


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  4. #3  
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    If you have a possible theory and it has a mathematical dual the method aught to work. The dual system may exist even if the theory you chose is not the entirely correct one. In such a case there would be a reason. The dual is constructred independently of physics (just from mathematics).

    Test it with a known experiment and a known theory.

    Electromagnetics is a base-dual system built into the universe. This aught to be an obvious clue to do physics with.
    It also matters what isn't there - Tao Te Ching interpreted.
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