Note on the natural system of units

Boya, Luis J. ; Rivera, Cristian ; Sudarshan, E. C. G. (2009) Note on the natural system of units Pramana - Journal of Physics, 73 (6). pp. 961-968. ISSN 0304-4289

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Official URL: http://www.ias.ac.in/pramana/v73/p961/fulltext.pdf

Related URL: http://dx.doi.org/10.1007/s12043-009-0172-y

Abstract

We propose to substitute Newton's constant GN for another constant G2, as if the gravitational force would fall off with the 1/r law, instead of the 1/r2; so we describe a system of natural units with G2, c and ħ. We adjust the value of G2 so that the fundamental length L=LPl is still the Planck's length and so GN=L×G2. We argue for this system as (1) it would express longitude, time and mass without square roots; (2) G2 is in principle disentangled from gravitation, as in (2+1) dimensions there is no field outside the sources. So G2 would be truly universal; (3) modern physics is not necessarily tied up to (3+1)-dim. scenarios and (4) extended objects with p=2 (membranes) play an important role both in M-theory and in F-theory, which distinguishes three (2, 1) dimensions. As an alternative we consider also the clash between gravitation and quantum theory; the suggestion is that non-commutative geometry [xi, xj]=Λ2θij would cure some infinities and improve black hole evaporation. Then the new length Λ shall determine, among other things, the gravitational constant GN.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Fundamental Constants; Gravitation
ID Code:50928
Deposited On:27 Jul 2011 13:05
Last Modified:18 May 2016 05:03

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