BOOM: Rainbow’s Gravity as the Source of Light Refraction
Mohsen Lutephy1 Show affiliations
- Department of Chemistry, Islamic Azad University (IAU), Tehran, Iran
Physics International, Volume 12, Issue 1, pp. 11–22 · doi.org/10.3844/pisp.2021.11.22
Abstract
On the fully variable light speed (VSL) universe derived by alliance of Mach inertia principle and Planck’s quantized natural units and generalized Minkowski metric, it is extracted the fundamental equation of variable light speed called here Alpha Genesis Prime. Then the fundamental gravity is defined as a vector to justify the light speed variation accordingly. Gravitational vector via a tangential component does set the light speed to be matched with the Alpha Genesis Prime and according to the Pythagorean Theorem; it has also a component normalized to the light velocity. Interestingly by the gravity divided to the tangent and normal components relative to the light velocity we argue the Snell’s law of the light refraction and we find that dependency of the refractive index to the volume density is not fundamental but fundamentally the refractive index follows gravitational potential in bound quantum systems. The gravity is enhanced in bound quantum systems extended from Femto-scale (Nucleuses and strong nuclear force), Micro-gravity (fundamental rainbow’s gravity), the galaxies and clusters as the large scale bound quantum systems, up to the observable universe which the variable gravitational G is Newtonian (constant G in short cosmic time). The refraction of the light is sourced potentially by Rainbow’s gravity in bound quantum systems which the potential integration domain is limited to the wavelength of the photons. Quantum mechanically the photons are force carrier in the range of their wavelength to enhance gravitational G inasmuch as large that atoms to bend the photons similar to enhanced gravity in the nucleuses in the range of hadron wavelengths. Reestablish of the Newtonian mechanics yields to the fundamental gravity which is identical with the refraction of the light and we find that the mechanical potential of the light’s refraction is the gravity.
References
- Ali, A. F., Faizal, M., & Majumder, B. (2015). Absence of an effective Horizon for black holes in Gravity’s Rainbow. Europhysics Letters, 109(2), 20001. https://doi.org/10.1209/0295-5075/109/20001CrossrefGoogle Scholar
- Ali, A. F., & Khalil, M. M. (2015). A proposal for testing gravity’s rainbow. Europhysics Letters, 110(2), 20009. https://doi.org/10.1209/0295-5075/110/20009CrossrefGoogle Scholar
- Amelino-Camelia, G., Ellis, J., Mavromatos, N. E., & Nanopoulos, D. V. (1997). Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity. International Journal of Modern Physics A, 12(3), 607–623. https://doi.org/10.1142/s0217751x97000566CrossrefGoogle Scholar
- Amelino-Camelia, G., Ellis, J., Mavromatos, N. E., Nanopoulos, D. V., & Sarkar, S. (1998). Tests of quantum gravity from observations of γ-ray bursts. Nature, 393, 763–765. https://doi.org/10.1038/31647CrossrefGoogle Scholar
- Amelino-Camelia, G., Freidel, L., Kowalski-Glikman, J., & Smolin, L. (2011). Principle of relative locality. Physical Review D, 84(8), 084010. https://doi.org/10.1103/physrevd.84.084010CrossrefGoogle Scholar
- Antoniadis, I., Arkani-Hamed, N., Dimopoulos, S., & Dvali, G. (1998). New dimensions at a millimeter to a fermi and superstrings at a TeV. Physics Letters B, 436(3–4), 257–263. https://doi.org/10.1016/s0370-2693(98)00860-0CrossrefGoogle Scholar
- Awad, A., Ali, A. F., & Majumder, B. (2013). Nonsingular rainbow universes. Journal of Cosmology and Astroparticle Physics, 2013(10), 052. https://doi.org/10.1088/1475-7516/2013/10/052CrossrefGoogle Scholar
- Banks, T., & Fischler, W. (1999). A model for high energy scattering in quantum gravity. ArXiv, 9906038. https://doi.org/10.48550/arXiv.hep-th/9906038CrossrefGoogle Scholar
- Barrow, J. D., & Magueijo, J. (2013). Intermediate inflation from rainbow gravity. Physical Review D, 88(10), 103525. https://doi.org/10.1103/physrevd.88.103525CrossrefGoogle Scholar
- Chatrchyan, S., Khachatryan, V., Sirunyan, A. M., Tumasyan, A., Adam, W., Aguilo, E., & Stoykova, S. (2012). Search for dark matter and large extra dimensions in monojet events in pp collisions at √s=7TeV. Journal of High Energy Physics, 2012(9), 1–37. https://doi.org/10.1007/JHEP09(2012)094CrossrefGoogle Scholar
- Chatrchyan, S., Lehti, S., & Hindrichs, O. (2012). Search for microscopic black holes in pp collisions at $\sqrt {s} = {\text{7TeV}}$. Journal of High Energy Physics, 2012(4), 1–36. https://doi.org/10.1007/JHEP04(2012)061CrossrefGoogle Scholar
- da Rocha, R., & Coimbra-Araújo, C. H. (2006). Extra dimensions at the CERN LHC via mini-black holes: Effective Kerr-Newman brane-world effects. Physical Review D, 74(5), 055006. https://doi.org/10.1103/physrevd.74.055006CrossrefGoogle Scholar
- Dimopoulos, S., & Landsberg, G. (2001). Black Holes at the Large Hadron Collider. Physical Review Letters, 87(16), 161602. https://doi.org/10.1103/physrevlett.87.161602CrossrefGoogle Scholar
- Emparan, R., Horowitz, G. T., & Myers, R. C. (2000). Black Holes Radiate Mainly on the Brane. Physical Review Letters, 85(3), 499. https://doi.org/10.1103/physrevlett.85.499CrossrefGoogle Scholar
- Feng, Z.-W., & Yang, S.-Z. (2018). Rainbow Gravity Corrections to the Entropic Force. Advances in High Energy Physics, 2018, 1–8. https://doi.org/10.1155/2018/5968284CrossrefGoogle Scholar
- Galán, P., & Marugán, G. A. M. (2004). Quantum time uncertainty in a gravity’s rainbow formalism. Physical Review D, 70(12), 124003. https://doi.org/10.1103/physrevd.70.124003CrossrefGoogle Scholar
- Garattini, R. (2013). Distorting general relativity: gravity’s rainbow and f(R) theories at work. Journal of Cosmology and Astroparticle Physics, 2013(06), 017. https://doi.org/10.1088/1475-7516/2013/06/017CrossrefGoogle Scholar
- Garattini, R., & Majumder, B. (2014a). Electric charges and magnetic monopoles in Gravity’s Rainbow. Nuclear Physics B, 883, 598–614. https://doi.org/10.1016/j.nuclphysb.2014.04.005CrossrefGoogle Scholar
- Garattini, R., & Majumder, B. (2014b). Naked singularities are not singular in distorted gravity. Nuclear Physics B, 884, 125–141. https://doi.org/10.1016/j.nuclphysb.2014.04.014CrossrefGoogle Scholar
- Garattini, R., & Mandanici, G. (2012). Particle propagation and effective space-time in gravity’s rainbow. Physical Review D, 85(2), 023507. https://doi.org/10.1103/physrevd.85.023507CrossrefGoogle Scholar
- Giddings, S. B., & Thomas, S. (2002). High energy colliders as black hole factories: The end of short distance physics. Physical Review D, 65(5), 056010. https://doi.org/10.1103/physrevd.65.056010CrossrefGoogle Scholar
- Gim, Y., & Kim, W. (2014). Thermodynamic phase transition in the rainbow Schwarzschild black hole. Journal of Cosmology and Astroparticle Physics, 2014(10), 003. https://doi.org/10.1088/1475-7516/2014/10/003CrossrefGoogle Scholar
- Hackett, J. (2006). Asymptotic flatness in rainbow gravity. Classical and Quantum Gravity, 23(11), 3833. https://doi.org/10.1088/0264-9381/23/11/010CrossrefGoogle Scholar
- Hendi, S. H., Eslam Panah, B., Panahiyan, S., & Momennia, M. (2016). Gravity’s Rainbow and Its Einstein Counterpart. Advances in High Energy Physics, 2016, 1–21. https://doi.org/10.1155/2016/9813582CrossrefGoogle Scholar
- Hessaby, M. (1947). Continuous Particles. Proceedings of the National Academy of Sciences, 33(6), 189–194. https://doi.org/10.1073/pnas.33.6.189CrossrefGoogle Scholar
- Hessaby, M. (1948). Theoretical Evidence for the Existence of a Light-Charged Particle of Mass Greater than That of the Electron. Physical Review, 73(9), 1128. https://doi.org/10.1103/physrev.73.1128CrossrefGoogle Scholar
- Leiva, C., Saavedra, J., & Villanueva, J. (2009). Geodesic structure of the Schwarzschild black hole in rainbow gravity. Modern Physics Letters A, 24(18), 1443–1451. https://doi.org/10.1142/s0217732309029983CrossrefGoogle Scholar
- Li, H., Ling, Y., & Han, X. (2009). Modified (A)dS Schwarzschild black holes in rainbow spacetime. Classical and Quantum Gravity, 26(6), 065004. https://doi.org/10.1088/0264-9381/26/6/065004CrossrefGoogle Scholar
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Lutephy, M. (2021). BOOM: Rainbow’s Gravity as the Source of Light Refraction. Physics International, 12(1), 11–22. https://doi.org/10.3844/pisp.2021.11.22
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