Mohamed E Hassani - Academia.edu (original) (raw)

Papers by Mohamed E Hassani

In a previous series of papers relating to the Combined Gravitational Action (CGA), we have exclu... more In a previous series of papers relating to the Combined Gravitational Action (CGA), we have exclusively studied orbital motion without spin. In the present paper, we apply CGA to any self-rotating material body, i.e., an axially spinning massive object, which itself may be locally seen as a gravito-rotational source because it is capable of generating the gravito-rotational acceleration, which seems to be unknown to previously existing theories of gravity. The consequences of such an acceleration are very interesting, particularly for Compact Stellar Objects. Independently of the equation of state, it is found that the minimum radius of a stable neutron star is three times its gravitational radius, Rmin = 3GMNS/c2, and its critical and maximum internal magnetic field strength cannot exceed the value of 3×1018 G.

In previous papers relating to the concept of Combined Gravitational Action (CGA) we have establi... more In previous papers relating to the concept of Combined Gravitational Action (CGA) we have established the CGA-theoretical foundations as an alternative gravity theory that already allowed us to resolve -in its contextsome unexpected and defiant problems occurred inside and outside the Solar System like, e.g., the anomalous Pioneer 10’s deceleration; the observed secular increase of the Astronomical Unit; the apsidal motion anomaly of the eclipsing binary star systems and the study of CGA-effects in the non-compact and compact stellar objects. All that has been done without exploiting fully the CGA-formalism, hence, the main purpose of the present paper is to exploit profoundly the CGA-equations in order to investigate, among other things, CGA-spin-orbit coupling precession and application of CGA to Large-Scale Structures with the aim of resolving the problem of galactic rotation curves.

In the present paper, the so-called Einstein’s causality is scrutinized and proven to be an illus... more In the present paper, the so-called Einstein’s causality is scrutinized and proven to be an illusion, a sort of mathematical fallacy. Causality as a well-established universal principle was and is absolutely valid for subluminal, luminal and superluminal signals under any natural and/or artificial circumstances. It is also shown that conceptually special relativity theory (SRT) is inapplicable to superluminality of physical phenomena since SRThas the light speed in vacuum as an upper limiting speed in its own proper domain of applications, and also because SRT is crucially based on the concept of inertial reference frames (IRFs) which are related to each other by Lorentz transformations, that is why the relative velocity of any two IRFs must be smaller than light speed.

The causality principle is physically investigated in the framework of special relativity theory ... more The causality principle is physically investigated in the framework of special relativity theory (SRT) and it is proven to be absolutely valid for subluminal, luminal and superluminal signals under any natural and/or artificial circumstances; also Einstein's thought experiment (1907), Tolman's paradox (1917), tachyonic antitelephone (1970) and Moller's thought experiment (1952) are reexamined in order to show more conclusively that the so-called causality paradoxes are in fact a pure mental construction resulted from some too-common misconceptions which mainly spring from the confusion between the concepts of (relative) velocity and (relative) speed. Thus, in light of the present work, the old and semi-persistent concern about causality violation by superluminal signals and its consequences at micro and macrophysical levels may be conceptually ruled out if one approaches the physico-mathematical formalism of SRT in an open-minded way.

The main motivation behind this paper is the question 'What is the factorization of (x^n + y^n) w... more The main motivation behind this paper is the question 'What is the factorization of (x^n + y^n) when n is an even positive integer ?' which was and is frequently asked on the Internet by many high school and university students and, to my knowledge, even the specialized textbooks and research articles have not yet answered the question, and with time the question itself transformed into a problem that needs to be solved. In the present article, the question is positively answered and the problem is solved through the detailed study of the factorization that leads directly to an apparently new type of indefinite irrational integrals.

The main motivation behind this paper is the question 'What is the factorization of (x^n +y^n) wh... more The main motivation behind this paper is the question 'What is the factorization of (x^n +y^n) when n is an even positive integer?' which was and is frequently asked on the Internet by many high school and university students and, to my knowledge, even the specialized textbooks and research articles have not yet answered the question, and with time the question itself transformed into a problem that needs to be solved. In the present article, the question is positively answered and the problem is solved through the detailed study of the factorization that leads directly to an apparently new type of indefinite irrational integrals.

In a previous series of papers relating to the Combined Gravitational Action (CGA), we have exclu... more In a previous series of papers relating to the Combined Gravitational Action (CGA), we have exclusively studied orbital motion without spin. In the present paper we apply CGA to any self-rotating material body, i.e., an axially spinning massive object, which itself may be locally seen as a gravitorotational source because it is capable of generating the gravitorotational (field) acceleration, which seems to be unknown to previously existing theories of gravity. The consequences of such an acceleration are very interesting, particularly for Compact Stellar Objects and Sun.

In a relatively recent article by Arbab I. Arbab (Astrophys. Space Sci. 355, 343, 2015), the auth... more In a relatively recent article by Arbab I. Arbab (Astrophys. Space Sci. 355, 343, 2015), the author claimed that the problem of flat rotation curve could be solved in the context of the socalled'generalized Newton's law of gravitation' without resorting to the dark matter. However, the present comment proves more conclusively that the proposed formulae and the calculations are physicomathematically wrong. Consequently, the author's claim is mathematically and physically highly questionable.

It seems that up to now researchers have not fully and systematically taken into consideration th... more It seems that up to now researchers have not fully and systematically taken into consideration the gravitational influence of the giant planets on the small ones in our solar system. The main purpose of the present work is to show that, while the intensity of the giant planets' influence is certainly very weak compared to that of the Sun, it cannot be completely neglected. In this research paper we have qualitatively and quantitatively studied such effects in order to clarify, for example, the possible causal origin of the unexpected secular increase of the Astronomical Unit. The approach uses the concept of Combined Gravitational Action (CGA).

In this article we study the concept of pq-functions which should be regarded ... more In this article we study the concept of pq-functions which should be regarded as an extension of prior work relating to pq-radial functions. Here, our main aim is to generalize this concept to the field of complex numbers. As direct consequences, new kind of (partial) DEs, polynomials, series and integrals are derived; Joukowski function and Legendre polynomials are generalized; the relationships between pq-DEs and DEs of Fuchs class, and DEs of Sturm-Liouville form are investigated.

Abstract: Since OPERA is a very carefully designed experiment thus the sobering importance of its... more Abstract: Since OPERA is a very carefully designed experiment thus the sobering importance of its result, coupled with decades of some successful tests of special relativity theory (SRT) requires certain adjustment in our usual manner of thinking, and seriously prompts us to consider alternatives which should be consistent with both. To this end, we propose an alternative model as an explanation to the observed neutrino superluminality based on the universality of the well-known rest mass energy formula, 2 0 cmE , and the idea that, at superluminal level, the velocity of a particle with real mass may be simultaneously dependent on its energy ratio ε and the kinematical attainability parameter α. By raising this idea to the status of a hypothesis, we show that not only the OPERA result is very realistic but also is perfectly consistent with supernova SN1987a measurement. Consequently, SRT is not violated by the existence of superluminal particles since it is conceptually, physically ...

Abstract: In previous papers [1,2] relating to the Combined Gravitational Action (CGA), we have e... more Abstract: In previous papers [1,2] relating to the Combined Gravitational Action (CGA), we have exclusively studied the orbital motion without spin. In the present paper we apply the CGA to any self-rotating material body, i.e., axially spinning massive object, which itself may be locally seen as a gravitorotational source because it is capable of generating the gravitorotational acceleration field, which seems unknown in the previously existing gravity theories. The consequences of such an acceleration field are very interesting particularly for the compact stellar objects.

viXra, 2020

In the present note a critical discussion of two ODEs and two polynomials that have been wrongly ... more In the present note a critical discussion of two ODEs and two polynomials that have been wrongly attributed to the French mathematician Edmond Nicolas Laguerre (1834-1886) is provided. It is shown that Laguerre had nothing to do with such a wrong attribution and the actual discoverer was the Russian mathematician Nikolay Yacovlevich Sonine (1849-1915).

In this article we study the concept of pq-functions which should regard as an extension of a pri... more In this article we study the concept of pq-functions which should regard as an extension of a prior work relative to pq-Radial Functions [1]. Here, our main aim is to generalize this concept to the field of complex numbers. As direct consequences, new kind of (partial) differential equations, polynomials, series and integrals are derived, and Joukowski function is generalized.

More recently, G. G. Nyambuya published an article entitled "Azimuthally symmetric theory of... more More recently, G. G. Nyambuya published an article entitled "Azimuthally symmetric theory of gravitation – II. On the perihelion precession of solar planetary orbits" [MNRAS 451 (3) 3034-3043 (2015)], which considered by the author as an improved version of the "Azimuthally Symmetric Theory of Gravitation (I) – On the Perihelion Precession of Planetary Orbits" [MNRAS 403 (3) 13811391 (2010)]. This comment proves that the so-called ASTG-model is physico-mathematically incorrect. Consequently, the said model cannot possibly be a (new) gravity theory.

viXra, 2015

In a relatively recent article by Arbab I. Arbab (Astrophys. Space Sci. 325, 37, 2010), the autho... more In a relatively recent article by Arbab I. Arbab (Astrophys. Space Sci. 325, 37, 2010), the author claimed the generalization of Newton's law of gravitation via the introduction of the gravitomagnetic field. However, the present comment proves more conclusively that the proposed formulae and the so-called generalized Newton's law of gravitation are physico-mathematically erroneous. Consequently, the alleged generalization cannot be a law of physics at all.

Previous work on the concept of gravito-rotational acceleration (GRA) and its dynamical role is s... more Previous work on the concept of gravito-rotational acceleration (GRA) and its dynamical role is surveyed, with main emphasis on the GRA's influence exerted on a test-body in orbital motion around a rotating gravitational source (heavy central mass). Such an influence is typically interpreted as a ʻgravito-rotational dragging (effect)ʼ, this phenomenon is very similar to the so-called Lense-Thirring effect (frame dragging) in the framework of general relativity theory (GRT). Some applications are considered include (i) the orbital plane dragging of artificial satellites LAGEOS, LAGEOS II and LARES; (ii) the effect of the Earth's GRA on the orbital motion of the Moon; (iii) the effect of the Sun's GRA on the orbital motion of Mercury. Also, it is shown that the conceptual existence of ʻgravito-rotational dragging (effect)ʼ and its quantitative agreement with GRT-predictions should imply, among other things, that the geometrization of gravity is unnecessary for physics.

In previous papers relating to the concept of Combined Gravitational Action (CGA) we have establi... more In previous papers relating to the concept of Combined Gravitational Action (CGA) we have established the CGA-theoretical foundations as an alternative gravity theory that already allowed us to resolve -in its context- some unexpected and defiant problems occurred inside and outside the Solar System like, e.g., the anomalous Pioneer 10's deceleration; the observed secular increase of the Astronomical Unit; the apsidal motion anomaly of the eclipsing binary star systems and the study of CGA-effects in the non-compact and compact stellar objects. All that has been done without exploiting fully the CGA-formalism, hence, the main purpose of the present paper is to exploit profoundly the CGA-equations in order to investigate, among other things, CGA-spin-orbit coupling precession and application of CGA to Large-Scale Structures with the aim of resolving the problem of galactic rotation curves.

In a previous series of papers relating to the Combined Gravitational Action (CGA), we have exclu... more In a previous series of papers relating to the Combined Gravitational Action (CGA), we have exclusively studied orbital motion without spin. In the present paper we apply CGA to any self-rotating material body, i.e., an axially spinning massive object, which itself may be locally seen as a gravitorotational source because it is capable of generating the gravitorotational (field) acceleration, which seems to be unknown to previously existing theories of gravity. The consequences of such an acceleration are very interesting, particularly for Compact Stellar Objects and Sun.

viXra, 2020

viXra, 2015

In previous papers relating to the concept of Combined Gravitational Action (CGA) we have establi... more In previous papers relating to the concept of Combined Gravitational Action (CGA) we have established the CGA-theoretical foundations as an alternative gravity theory that already allowed us to resolve -in its context- some unexpected and defiant problems occurred inside and outside the Solar System like, e.g., the anomalous Pioneer 10's deceleration; the observed secular increase of the Astronomical Unit; the apsidal motion anomaly of the eclipsing binary star systems and the study of CGA-effects in the non-compact and compact stellar objects. All that has been done without exploiting fully the CGA-formalism, hence, the main purpose of the present paper is to exploit profoundly the CGA-equations in order to investigate, among other things, CGA-spin-orbit coupling precession and application of CGA to Large-Scale Structures with the aim of resolving the problem of galactic rotation curves.