Uncertainty

 

Them There Eyes

I fell in love with you the first time I looked into them there eyes
And you have a certain lil cute way of flirtin' with them there eyes
They make me feel so happy, they make me feel so blue
I'm fallin', no stallin' in a great big way for you

Maybe them there eyes are not so certain after all!

Arguing that 3+3 ≠6 is madness.  But arguing that √3²≠3 may NOT be madness. 

The reason is that 3=√3² is true only for a flat, Euclidean, surface.  The formula for a hyperbolic surface would be 3=ln(cosh(3)±sinh(3)).  This has the value 0±6.

In fact for the first ten integers, the uncertainty term is as given in the table below.

x	Flat, Euclidean surface √x2	Hyperbolic surface ln(cosh(x)±sinh(x))
1	1	0±2
2	2	0±4
3	3	0±6
4	4	0±8
5	5	0±10
6	6	0±12
7	7	0±14
8	8	0±16
9	9	0±18
10	10	0±20

There is a pattern here.  For n, on a hyperbolic surface, the solution is 0±2*n.  This suggests that there is a non-zero uncertainty that increases as n increases.  And since there is uncertainty, then our universe may be hyperbolic.  There is a reason why we don't notice this uncertainty.  It is because we measure x in units other than the absolute.  If the absolute is π, then numbers greater than the absolute,  approximately 3.14, are meaningless.  In fact the distances which are regularly encountered are mere fractions of the absolute which means that the uncertainty regularly encountered will also be mere fractions of the absolute. Additionally while the uncertainty suggests that negative numbers are allowed, in fact in reality, if we are measuring x on an abolute scale, negative numebrs are not allowed and rather than the total value with uncertainty, a more useful concept might be the most probable postive number.