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| Content Provider | Springer Nature Link |
|---|---|
| Author | Boya, Luis J. Rivera, Cristian Sudarshan, E. C. G. |
| Copyright Year | 2009 |
| Abstract | We propose to substitute Newton’s constant G $_{N}$ for another constant G $_{2}$, as if the gravitational force would fall off with the 1/r law, instead of the 1/r $^{2}$; so we describe a system of natural units with G $_{2}$, c and ℏ. We adjust the value of G $_{2}$ so that the fundamental length L = L $_{Pl}$ is still the Planck’s length and so G $_{N}$ = L × G $_{2}$. We argue for this system as (1) it would express longitude, time and mass without square roots; (2) G $_{2}$ is in principle disentangled from gravitation, as in (2 + 1) dimensions there is no field outside the sources. So G $_{2}$ 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 [x $_{ i }$, x $_{ j }$] = Λ$^{2}$ θ $_{ ij }$ would cure some infinities and improve black hole evaporation. Then the new length Λ shall determine, among other things, the gravitational constant G $_{N}$. |
| Starting Page | 961 |
| Ending Page | 968 |
| Page Count | 8 |
| File Format | |
| ISSN | 03044289 |
| Journal | Pramana |
| Volume Number | 73 |
| Issue Number | 6 |
| e-ISSN | 09737111 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2009-12-20 |
| Publisher Place | India |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Fundamental constants gravitation Astrophysics and Astroparticles Astronomy, Observations and Techniques Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy |
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