Large extra dimensional limit of gravity subject to proton decay
D(p) Branes can range from any number of spatial dimensions extending from 1 to 10. Most of the force and matter fields are concentrated along the wall of the brane as a open strings thereby permitted to travel in higher dimensions however a typical type of bosonic force field called the gravitons extend beyond the boundary of our 4 dimensions and extend to (4 + n) dimensions with the value of (n ≤ 10). This peculiar property of gravitons exist as because there are always a closed strings with no ends attached to a D(p) branes. The energy required to detect gravity is at a close proximity of 10^16 GeV to 10^19 GeV making GUT or grand unified theories. However, the LED or large extra dimensions model reduce the energy scale to 1000 GeV or 1 TeV. However in this paper I will show that not only energy required equals to 1 TeV but an energy of much less than 1 TeV that is 10 GeV. Therefore, the gravity would be accessible at a much lower energy provided the dimension of the LED is equal to 1 mm. During a head to head collision of proton bombardment in LHC 'gravitons' appeared but remains undetected as they quickly appeared to higher dimensions at (4 + n) with (4 < ≤ 10). However when dimensions = 6 then a Calabi-Yau manifold is formed but here there is SED or 'small extra dimensions' instead of LED. Now, an open question that I want to ask to my readers is that, if gravity of 1 mm which is sufficiently small one a scale = 1 where the force actually disappears then if it got except in higher dimensions then the higher dimensions must have a value of D = 2mm > r = 1mm. So, the throat must be larger than the minimal length of gravity to swallow it whole. Therefore, if extra dimensions exist then they must be equal to or greater than 1mm. Another important thing to note is the proton decay where a proton decays into a neutral pions and a positron which ultimately decays into 2 gamma rays and the half-life time of the proton decay is around 10^34 years which is impossible to observe for the humans. Now, a proton having a mass parameter of 1800 times greater than the electrons have the effect of gravity comparatively significant than that of the lepton 'electron'. And that proton decay has a connection with GUT via magnetic monopoles provided the D(p)-1 Branes are extremely long. However, an alternative approach of the 'magnetic monopole' can be found from the Gauss's law of magnetism as (∇ • B = 4πρ) where magnetic charge density that is ρ.