The Experts below are selected from a list of 4878 Experts worldwide ranked by ideXlab platform

Alexander J Stuart - One of the best experts on this subject based on the ideXlab platform.

  • Golden Ratio neutrino mixing and a5 flavor symmetry
    Nuclear Physics, 2012
    Co-Authors: Guijun Ding, Lisa L Everett, Alexander J Stuart
    Abstract:

    We provide a systematic and thorough exploRation of lepton flavor models in which the solar mixing angle is related to the Golden Ratio. For scenarios in which the solar mixing angle is given by the inverse cotangent of the Golden Ratio, we demonstrate that A5 is the smallest non-Abelian finite group that contains all of the symmetries necessary to enforce this specific lepton mixing pattern. Within this context, we propose two lepton flavor models that yield this mixing pattern through the breaking of A5 at leading order to the Klein four subgroup in the neutrino sector. Both models have triplet embeddings of the lepton doublets as well as the charged lepton singlets. In the charged lepton sector, the residual symmetry is Z5 in the first model, while in the second model, A5 is broken completely at leading order. For the second model, the reactor mixing angle vanishes at leading order and is of the order of the square of the Cabibbo angle at next-to-leading order, which is allowed by the global analysis of current lepton data.

J R Villanueva - One of the best experts on this subject based on the ideXlab platform.

  • The Golden Ratio in Schwarzschild–Kottler black holes
    European Physical Journal C, 2017
    Co-Authors: Norman Cruz, Marco Olivares, J R Villanueva
    Abstract:

    In this paper we show that the Golden Ratio is present in the Schwarzschild–Kottler metric. For null geodesics with maximal radial acceleRation, the turning points of the orbits are in the Golden Ratio $$\varPhi =(\sqrt{5}-1)/2$$ . This is a general result which is independent of the value and sign of the cosmological constant $$\varLambda $$ .

  • the Golden Ratio in schwarzschild kottler black holes
    European Physical Journal C, 2017
    Co-Authors: Norman Cruz, Marco Olivares, J R Villanueva
    Abstract:

    In this paper we show that the Golden Ratio is present in the Schwarzschild–Kottler metric. For null geodesics with maximal radial acceleRation, the turning points of the orbits are in the Golden Ratio \(\varPhi =(\sqrt{5}-1)/2\). This is a general result which is independent of the value and sign of the cosmological constant \(\varLambda \).

Guijun Ding - One of the best experts on this subject based on the ideXlab platform.

  • Golden Ratio neutrino mixing and a5 flavor symmetry
    Nuclear Physics, 2012
    Co-Authors: Guijun Ding, Lisa L Everett, Alexander J Stuart
    Abstract:

    We provide a systematic and thorough exploRation of lepton flavor models in which the solar mixing angle is related to the Golden Ratio. For scenarios in which the solar mixing angle is given by the inverse cotangent of the Golden Ratio, we demonstrate that A5 is the smallest non-Abelian finite group that contains all of the symmetries necessary to enforce this specific lepton mixing pattern. Within this context, we propose two lepton flavor models that yield this mixing pattern through the breaking of A5 at leading order to the Klein four subgroup in the neutrino sector. Both models have triplet embeddings of the lepton doublets as well as the charged lepton singlets. In the charged lepton sector, the residual symmetry is Z5 in the first model, while in the second model, A5 is broken completely at leading order. For the second model, the reactor mixing angle vanishes at leading order and is of the order of the square of the Cabibbo angle at next-to-leading order, which is allowed by the global analysis of current lepton data.

Norman Cruz - One of the best experts on this subject based on the ideXlab platform.

  • The Golden Ratio in Schwarzschild–Kottler black holes
    European Physical Journal C, 2017
    Co-Authors: Norman Cruz, Marco Olivares, J R Villanueva
    Abstract:

    In this paper we show that the Golden Ratio is present in the Schwarzschild–Kottler metric. For null geodesics with maximal radial acceleRation, the turning points of the orbits are in the Golden Ratio $$\varPhi =(\sqrt{5}-1)/2$$ . This is a general result which is independent of the value and sign of the cosmological constant $$\varLambda $$ .

  • the Golden Ratio in schwarzschild kottler black holes
    European Physical Journal C, 2017
    Co-Authors: Norman Cruz, Marco Olivares, J R Villanueva
    Abstract:

    In this paper we show that the Golden Ratio is present in the Schwarzschild–Kottler metric. For null geodesics with maximal radial acceleRation, the turning points of the orbits are in the Golden Ratio \(\varPhi =(\sqrt{5}-1)/2\). This is a general result which is independent of the value and sign of the cosmological constant \(\varLambda \).

Christopher Bartlett - One of the best experts on this subject based on the ideXlab platform.

  • Nautilus Spirals and the Meta-Golden Ratio Chi
    Nexus Network Journal, 2018
    Co-Authors: Christopher Bartlett
    Abstract:

    The Nautilus shell is the popular iconic image for a logarithmic spiral. It is also frequently cited as an example of a Golden Ratio logarithmic spiral in nature. Evidently, this not the case. Contrarian studies have proposed that the Nautilus spiral is actually in the 4:3 Ratio. Yet, these recommendations are based on one, or just a few shells. In this research, to compare the mean aspect Ratio of Nautilus shells to the 4:3 Ratio and the meta-Golden Ratio Chi, eighty Nautilus shells were measured in the Smithsonian collection. The results show that the Nautilus genus is clearly not the widely quoted 4:3 (1.333), but averaged 1.310. However, there was one species that was remarkably different, the Crusty Nautilus averaging 1.356 which is an excellent match for the Meta-Golden Ratio Chi.