The equation of time

Discussion in 'Pseudoscience' started by Asexperia, Dec 12, 2019.

  1. Asexperia Valued Senior Member

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    We have: a = xut, b = xut, c = yut
    y = 2x
    a, b and c are periods of time. ut are units of time. x and ut are independent variables.

    Case 1: Between a and b
    It may be that: a = b, a > b, b > a

    Case 2: All ut and x are equal.
    c > a and b

    Case 3: b = 10a, same ut.
    b > a

    Case 4: What would it happen if in case 3 the ut are different?

    Asexperia
     
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  3. mathman Valued Senior Member

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    Statement is confusing. a and b have the same definition. Is ut a single variable? Using two letters is confusing - usually it stands for a product of two variables.
     
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  5. Asexperia Valued Senior Member

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    Yes, ut is a single variable (the unit of time). It can be replaced by a greek letter.
     
    Last edited: Dec 12, 2019
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  7. James R Just this guy, you know? Staff Member

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    If a = x (ut) and b= x (ut), it is impossible to have b = 10a. That would be a contradiction.
     
  8. James R Just this guy, you know? Staff Member

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    This thread has nothing to do with time, by the way.

    It looks sort of like basic maths dressed up in a confusing way.
     
  9. James R Just this guy, you know? Staff Member

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    I'm going to attempt to put this into a more standard form. Let $t$ be a time interval. For example $t$ could be 1 hour or 1 year or 1 second. Now define
    $a = xt, b=xt, c=yt$.

    With $y=2x$ we also have $c=2xt$.

    What's between a and b? You're not making sense.

    So far, we have $a=b=xt$.
    $a$ and $b$ are equal, by definition.

    No. It can only be that $a=b$, given the definitions at the start.

    Are you now saying that $x$ is a time interval, like $t$? In that case $a,b$ and $c$ would be squared time intervals.

    Are you saying $x=t$?

    In that case $a=b=t^2, c=2t^2$.

    Correct.

    Impossible, since it conflicts with previous definition that $a=b$.

    Impossible.

    Nothing. Case 3 is impossible.
     
  10. Asexperia Valued Senior Member

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    We have: a = xt, b = xt, c = yt, y = 2x
    x and y are numbers.
    t is a unit of time.
     
  11. Asexperia Valued Senior Member

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    1,481
    Case 1: Between (comparing) a and b
    If a = 5h and b = 5m, a > b
     
  12. Asexperia Valued Senior Member

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    1,481
    Case 2: x = 5, t = 1h
    C > a and b

    Case 3: b = 10a
    If a = 5h, b = 50h, b > a
     
  13. origin In a democracy you deserve the leaders you elect. Valued Senior Member

    Messages:
    11,049
    You defined a as equal to b so, it is incorrect to now say a > b.

    Maybe you should not try to use math and go back to just hand waving.
     
  14. Asexperia Valued Senior Member

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    t can be equal or different in a and b.
     
  15. origin In a democracy you deserve the leaders you elect. Valued Senior Member

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    Right the time can be different. But your base equation still says a equals b.

    a = xt = b therefore a = b.
     
  16. Asexperia Valued Senior Member

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    Let's use s, m, h and y instead of t.

    a = xs, b = xm, c = zs

    What's the highest value?
     
  17. origin In a democracy you deserve the leaders you elect. Valued Senior Member

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    What do x, z, s and m stand for?
     
  18. Asexperia Valued Senior Member

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    x and z are numbers.
    s = second, m = minute, h = hour, y = year
     
  19. origin In a democracy you deserve the leaders you elect. Valued Senior Member

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    So x and z are just numbers with no physical significance?
    There is no possible way to know which is higher or lower for a, b, or c based on the information given.
     
  20. Asexperia Valued Senior Member

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    If x = 1 and z > 60 then b > a and c > a and b.
     
  21. origin In a democracy you deserve the leaders you elect. Valued Senior Member

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    11,049
    Since x and z are both just numbers you can simplify this by using just x OR z. Let's just use x.
    It seems like you are saying that the s, m, h and y are just the units. If that is the case you should just use a single unit to simplify the equations.
    If you just use seconds then your first 2 equations are now a = x = b or just a = x. Since a = x we can just use a.

    So if a0 is 1 and a1 is 60 then a1>a0.

    This doesn't really seem to be saying anything that isn't intuitively obvious to the most casual observer.
     
  22. Asexperia Valued Senior Member

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    The equation of time represents any measure of time no matter if it is in seconds, minutes, hours or years. Everyone knows that a measure is made up of a number and a unit of measure. In these equations a custom letter is assigned to the measure. An example: d = xy. d can be the age of any person.
     
  23. origin In a democracy you deserve the leaders you elect. Valued Senior Member

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    11,049
    You do not have an equation of time. Your 'equation' basically says a = some amount of time, not really an equation just a substitution.
    Right, in SI units time is seconds, trying to put units in the equation with an arbitrary constant is unnecessary and an incorrect way to write a math equation.
    Your example should be d = 25 years, for example. d = xy is nonsense, it is a waste of time to say x =25 and y = years when you could just say 25 years. Your attempt at the math adds nothing except confusion.
     

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