Problem—Contemporary physics offers no underlying reason for the equivalence of inertial and gravitational mass. Approach—The equivalence is examined from the new physics provided by the cordus theory, being a non-l...Problem—Contemporary physics offers no underlying reason for the equivalence of inertial and gravitational mass. Approach—The equivalence is examined from the new physics provided by the cordus theory, being a non-local hidden-variable (NLHV) theory. Mathematical formalisms are derived for masses and observers in different fabric densities. Findings—A disjointed equivalence is predicted, whereby inertial and gravitational masses are equivalent in any one situation, but a different equivalence holds when the fabric densities change. Consequently this theory predicts that the gravitational constant G varies with fabric density, and hence would be different across the universe and across time. Not only is the gravitational constant non-constant, but the formulation of gravitation changes with fabric density. Specifically, the theory predicts gravity is stronger at genesis (and the end of the universe) such that orbit velocity v<sub>B</sub> ∝ (where r<sub>B</sub> is orbit radius), compared to weaker gravitation at middle life epochs with r<sub>B</sub><sub> </sub>∝ . The current Earth location and epoch correspond to the latter case, i.e. Newtonian gravitation is recovered. The findings disfavour the existence of both dark energy and dark matter, and instead attribute these effects to differences in the fabric density. Originality—The work makes the contribution of deriving a mass equivalence relationship that includes fabric density, identifying a disjointed mass equivalence, and showing that the gravitation formulation itself changes with relative fabric densities.展开更多
In this paper, we consider the nonlinear fractional Schr6dinger equations with Hartree type nonlin- earity in mass-supercritical and energy-subcritical case. Pohozaev identity, we established a threshold condition spa...In this paper, we consider the nonlinear fractional Schr6dinger equations with Hartree type nonlin- earity in mass-supercritical and energy-subcritical case. Pohozaev identity, we established a threshold condition space. By sharp Hardy-Littlewood-Sobolev inequality and the which leads to a global existence of solutions in energy展开更多
With the mission of absorption of the capital through urban renovation, AKP (the Justice and Welfare Party) took over the metropolitan municipality administrations in big cities in 1995, and the Government of the Re...With the mission of absorption of the capital through urban renovation, AKP (the Justice and Welfare Party) took over the metropolitan municipality administrations in big cities in 1995, and the Government of the Republic of Turkey in 2002. Together with the 2003 Mass Housing Act, 14 legal regulations were enacted between 2002 and 2008 to expand the field of activity and increase the funds of TOKI (Governmental Mass Housing Administration) which was already established during ANAP (the Motherland Party) Government in 1980s. As a result of those regulations, TOKI, as the "latest goddess of the construction myth", became the only authorized organization in the field of housing and land production in AKP's cities. It acquired new duties from generating profit-oriented projects to protecting historical texture, and it was authorized to make and approve zoning plans for the lands and plots handed over to TOKI of the last government (the Justice and Welfare Party) created as an investor-entrepreneur-contractor-performer group. This paper's aim is to indicate the transformation of TOKI foundation during the last twenty years, and also to prove that TOKI, as a governmental profit-oriented design tool, has demolished the unique DNA/morphological textures of the contemporary Turkish big cities by producing low profiled similar architecture and urbanity in the recent past.展开更多
文摘Problem—Contemporary physics offers no underlying reason for the equivalence of inertial and gravitational mass. Approach—The equivalence is examined from the new physics provided by the cordus theory, being a non-local hidden-variable (NLHV) theory. Mathematical formalisms are derived for masses and observers in different fabric densities. Findings—A disjointed equivalence is predicted, whereby inertial and gravitational masses are equivalent in any one situation, but a different equivalence holds when the fabric densities change. Consequently this theory predicts that the gravitational constant G varies with fabric density, and hence would be different across the universe and across time. Not only is the gravitational constant non-constant, but the formulation of gravitation changes with fabric density. Specifically, the theory predicts gravity is stronger at genesis (and the end of the universe) such that orbit velocity v<sub>B</sub> ∝ (where r<sub>B</sub> is orbit radius), compared to weaker gravitation at middle life epochs with r<sub>B</sub><sub> </sub>∝ . The current Earth location and epoch correspond to the latter case, i.e. Newtonian gravitation is recovered. The findings disfavour the existence of both dark energy and dark matter, and instead attribute these effects to differences in the fabric density. Originality—The work makes the contribution of deriving a mass equivalence relationship that includes fabric density, identifying a disjointed mass equivalence, and showing that the gravitation formulation itself changes with relative fabric densities.
基金Supported by the National Center of Mathematics and Interdisciplinary Sciences,CAS
文摘In this paper, we consider the nonlinear fractional Schr6dinger equations with Hartree type nonlin- earity in mass-supercritical and energy-subcritical case. Pohozaev identity, we established a threshold condition space. By sharp Hardy-Littlewood-Sobolev inequality and the which leads to a global existence of solutions in energy
文摘With the mission of absorption of the capital through urban renovation, AKP (the Justice and Welfare Party) took over the metropolitan municipality administrations in big cities in 1995, and the Government of the Republic of Turkey in 2002. Together with the 2003 Mass Housing Act, 14 legal regulations were enacted between 2002 and 2008 to expand the field of activity and increase the funds of TOKI (Governmental Mass Housing Administration) which was already established during ANAP (the Motherland Party) Government in 1980s. As a result of those regulations, TOKI, as the "latest goddess of the construction myth", became the only authorized organization in the field of housing and land production in AKP's cities. It acquired new duties from generating profit-oriented projects to protecting historical texture, and it was authorized to make and approve zoning plans for the lands and plots handed over to TOKI of the last government (the Justice and Welfare Party) created as an investor-entrepreneur-contractor-performer group. This paper's aim is to indicate the transformation of TOKI foundation during the last twenty years, and also to prove that TOKI, as a governmental profit-oriented design tool, has demolished the unique DNA/morphological textures of the contemporary Turkish big cities by producing low profiled similar architecture and urbanity in the recent past.