Can someone tell me why this equation works (estimates the age of the earth to approxately 14 billion years) ?


t0 = (pi*(Gn * L)^1/2)^-1

t0 = Age of Universe (seconds)
Gn (Newton's Gravitational Constant) ~ 6.67x10^-11 m^3/kg*s^2
L (Cosmological Constant) ~ 0.74 x10^-26 kg/m^3

It seems to really have 2 constants which would somehow have to change for it to be true.

Thanks,
Ernie

1) That's the age of the universe, not the Earth. The age of the Earth is about 5.5 billion years.

2) In SI units, the "Dark Energy Density", ρΛ, works out to be about: (0.685±0.055)×10^−26 kg/m³ (relative error = 0.09)

3) In SI units, the Age of the universe, t0, works out to be about: (4.33±0.04)×10^17 s (relative error = 0.011)

4) In SI units, the Gravitational constant, G, is about (6.6742±0.0010)×10^−11 m³/kg/s² (relative error = 0.00015)

So if t0 = k/sqrt(G×ρΛ) then k = t0×sqrt(G×ρΛ) = 0.29 with a relative error of 0.046 = 4.6%, so it's over 50 standard deviations from π.

Now it's still close because H0, the Hubble constant, is close to 1/t0 and in certain geometric units, the critical density of the universe is close to H0, and by measurement ρΛ is between 0.7 and 0.78 times this critical density, but it's nothing mystical.

http://en.wikipedia.org/wiki/Lambda-CDM_model
http://lambda.gsfc.nasa.gov/product/map/cu...ibliography.cfm
http://pdg.lbl.gov/2006/reviews/consrpp.pdf

rpenner,

Thanks for the feedback.

The "earth" was a typo, and as shown in the definition for t0, which was correctly labeled as age of universe. See orginal posting.

I think you may be missing my points which are the following:

1. This equation is not something I copied from a website or a book, but something I derived.

2. The "constants" in the equation (Gravitational & Cosmological) would have to change for the age of the universe to continue to change. From my calculations if the Gravational constant was held constant, the Cosmological "constant" would have to decrease by about 14% over the next 1 billion years.

Ernie

the time rates are measure through of the variations of the universal constants that
are linkeds to the stretch and shrinking of the space.then the click of the clocks are
differents given by gravitational potential,and also by curvatures of spacetime that
are derived by deformations of distict energy states coupled,and measured by the
velocity,in the case the constant,that is variable in spacetime through of temporal exolution,then the curvatures of spacetime are whithin of non-linear structures.that modify with tick of the clocks and distortion of space,connected with G,e,h,H,and c...

And I'm saying:
1) You missed a factor of 10
2) The data does not support your claim