- #1
Orion1
- 973
- 3
Quantum Gravitation String Theory:
Planck's Radius:
[tex]r_p = \sqrt{ \frac{ \hbar G}{ c^3}}[/tex]
Minimum observable length for a quantum string:
[tex]r_m = 2 \sqrt{ \alpha '}[/tex]
Planck's Radius is minimum observable length for a quantum string:
[tex]r_p = r_m[/tex]
Planck area of the hyperspace amplified Salam G* strong short range low energy gravity.
[tex]\sqrt{ \frac{ \hbar G}{ c^3}} = 2 \sqrt{ \alpha ^'}[/tex]
Alpha Prime:
[tex]\alpha ' = \frac{ \hbar G}{ 4 c^3}[/tex]
Alpha Prime is constant for a Planck Scale Bosonic String.
String Tension:
[tex]T_s = \frac{ 1}{2 \pi \alpha '}[/tex]
Quantum Gravitation String Tension:
[tex]T_g = \frac{ 2 c^3}{ \pi \hbar G}[/tex]
Relationship between distance and momentum:
[tex]\Delta L = \frac{ \hbar}{ p} + \alpha ' \frac{ p}{ \hbar}[/tex]
Quantum Gravitation distance and momentum:
[tex]\Delta L = \frac{ \hbar}{ p} + \frac{ G p}{4 c^3}[/tex]
Bosonic and fermionic hadronic Regge trajectory resonance:
[tex]J = \alpha ' E^2[/tex]
[tex]J = \frac{ \hbar G}{ 4 c^3} E^2[/tex]
[tex]E = \sqrt{ \frac{ 4 J c^3}{ \hbar G}}[/tex]
Reference:
http://superstringtheory.com/basics/basic3a.html
http://www.lepp.cornell.edu/spr/2001-05/msg0032717.html
Last edited: