# The equation of time

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

1. ### AsexperiaValued 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

3. ### mathmanValued 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.

5. ### AsexperiaValued 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

7. ### James RJust 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 RJust 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 RJust 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. ### AsexperiaValued 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. ### AsexperiaValued Senior Member

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Case 1: Between (comparing) a and b
If a = 5h and b = 5m, a > b

12. ### AsexperiaValued Senior Member

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

Case 3: b = 10a
If a = 5h, b = 50h, b > a

13. ### originIn a democracy you deserve the leaders you elect.Valued Senior Member

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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. ### AsexperiaValued Senior Member

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t can be equal or different in a and b.

15. ### originIn 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. ### AsexperiaValued 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. ### originIn 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. ### AsexperiaValued Senior Member

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x and z are numbers.
s = second, m = minute, h = hour, y = year

19. ### originIn 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. ### AsexperiaValued Senior Member

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If x = 1 and z > 60 then b > a and c > a and b.

21. ### originIn a democracy you deserve the leaders you elect.Valued Senior Member

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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. ### AsexperiaValued 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. ### originIn a democracy you deserve the leaders you elect.Valued Senior Member

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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.