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M Physics 21: How many 'effective' Dimensions (eD) are sufficient to wrap the Cosmos? 'new & fresh!'

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Posted by kx21 on March 10, 2003 at 02:20:58:

M Physics 21:

How many 'effective' Dimensions (eD) are sufficient to wrap the Cosmos. its entities / species:-

3-4 dimensions;

10-11 dimensions; or

else (e.g. 24-26 dimensions)?

***
* Definition of effective Dimensions (eD)
***

Let D(i) be the basic dimension / unit which can be used to to model / measure the specific structure / topology of the Cosmos physically (e.g. Length / m; Mass / kg; Time / s; Temperature/ K, etc.); i = 1, 2, 3, ...

Then

No. of effective Dimensions (eD) required to wrap the Cosmos & its entities / species is

Sum (Abs(d(i)) where the Cosmic Unit Content is the Product of D(i)^d(i); i = 1, 2,.., number of possible basic cosmic dimensions / units.

For instance,

SR Model:-

1) E = SQRT(p^2 c^2 + m^2C^4)

eD = 1 + 2 + Abs(-2)= 5 ,
as the Cosmic Unit Content, E is kg^(1)m^(2)s^(-2)

i.e. The effective Dimensions (eD) of the SR Model 1) = 5.

2) Given that E^2 = (p^2 c^2 + m^2C^4); and that which may not imply that E = SQRT(p^2c^2 + m^2c^4)...

What is the eD of SR model 2):- 5, 5*2 or else?


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