An elegant formula describing the Universe

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21 years 4 months ago #6435 by Mac
Reply from Dan McCoin was created by Mac
AM,

<BLOCKQUOTE id=quote><font size=2 face="Verdana, Arial, Helvetica" id=quote>quote:<hr height=1 noshade id=quote><b>Mass of Electron Surface Area of a 3-D sphere of radius beta
=
= 1.00512x10^-82
Mass of Universe Surface Area of a 4-D sphere of radius alpha

Anthony Mai</b><hr height=1 noshade id=quote></BLOCKQUOTE id=quote></font id=quote><font face="Verdana, Arial, Helvetica" size=2 id=quote>


I am very interested in your above statement. Can you explain how a "Surface" has mass? Only "Volumes" I believe can contain mass.



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21 years 4 months ago #6578 by Anthony Mai
Replied by Anthony Mai on topic Reply from
I am sorry I have difficulty formatting the text to make it more readable.

On the left of equation is the ratio of electron mass divided by the mass of the universe (with all forms of mass and energy included)

On the right side of the equation is the ratio of surface area of a 3-D sphere divided by the surface area of a 4-D sphere. The 3-D sphere has a radius of beta and the 4-D sphere has a radius of alpha.

I use the ratiod of surface area of a 3-D and 4-D sphere because that format is so elegant it requires no numerical factor at all. If you derive it mathematically (Volume of 4-D sphere is a simple 4-D integration under the confinement X^2+Y^2+Z^2+T^2 <= R^2), you will get that the ratio is:

(4*beta^2)/(PI*alpha^3)

Interestingly. Using the radius of the universe as 14.22 light years, which came from the relationship I discovered, through perfectly simple and straightforward calculation, using radiation intensity obtained from the Sun, you would arrive at the exact cosmological microwave radiation temperature, to the accuracy of no more than 1% or 2% error of the latest measyred value. I will show that later.


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21 years 4 months ago #6579 by Anthony Mai
Replied by Anthony Mai on topic Reply from
If you derive it mathematically (Volume of 4-D sphere is a simple 4-D integration under the confinement X^2+Y^2+Z^2+T^2 <= R^2),

I should also add that surface of a sphere is simply the derivative of the volume against the radius, once you get the volume of a N-D sphere. We are calculating using surface area, not volume.


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21 years 4 months ago #6202 by Mac
Replied by Mac on topic Reply from Dan McCoin
Anthony Mai,

<BLOCKQUOTE id=quote><font size=2 face="Verdana, Arial, Helvetica" id=quote>quote:<hr height=1 noshade id=quote><b>I should also add that surface of a sphere is simply the derivative of the volume against the radius, once you get the volume of a N-D sphere. We are calculating using surface area, not volume.</b><hr height=1 noshade id=quote></BLOCKQUOTE id=quote></font id=quote><font face="Verdana, Arial, Helvetica" size=2 id=quote>


I follow your thought jprocess but it still seems to me that to refer to the mass of a surface is a mis-nomer. Are you working on that?



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21 years 4 months ago #6203 by Larry Burford
Hello Mac,

Try looking at his eqn this way.

Imagine that the dots are spaces, and spaces are still spaces.

Mass of Electron..........Surface Area of a 3-D sphere of radius beta
...=...
...= 1.00512x10^-82
Mass of Universe.........Surface Area of a 4-D sphere of radius alpha

===================

Of course, since the Universe is most likely of infinite age, this is just another in a long string of numerical coinciences. They happen all over the place.

Regards,
LB

[note to WebMaster - can the filter that removes extra spaces from a post be turned off? Or is there some other way to control formatting?]

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21 years 4 months ago #6204 by Mac
Replied by Mac on topic Reply from Dan McCoin
LB,

Thanks for responding. I'm afraid that doesn't clear it up in my mind though for a surface to purportedly have mass. Maybe my brain is just at the surface of a 3D skull<img src=icon_smile_big.gif border=0 align=middle>.


<BLOCKQUOTE id=quote><font size=2 face="Verdana, Arial, Helvetica" id=quote>quote:<hr height=1 noshade id=quote><b>[note to WebMaster - can the filter that removes extra spaces from a post be turned off? Or is there some other way to control formatting?]</b><hr height=1 noshade id=quote></BLOCKQUOTE id=quote></font id=quote><font face="Verdana, Arial, Helvetica" size=2 id=quote>

Good point. I too have had a lot of aggravation trying to post tables etc., the technique I have used with some limited success is to space columns using "."'s.





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