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Third Order Hamiltonian for a Binary System with Varying Masses Including Preastron Effect
This work concerns of the effects of the variation in the masses for two attracting bodies on the orbiter orbital elements. The formulation of the problem was done in different kind of mechanics, Newtonian, Lagrangian, and Hamiltonian. Moreover, constructing the Hamiltonian function of the varying masses of a binary system including, periastron effect, in canonical form in the extended phase space, up to third order of the small parameter ?, to be able to solve using canonical perturbation techniques. Canonical perturbation method based on Lee transformation was developed by Kamel used to remove the short periodic terms from the Hamiltonian to be able to solve the system of equations. The Hamiltonian of the system was transformed to the extended phase space by introducing two variable represents the variation of the masses and their conjugate momenta. Finally, Hamilton's equation of motions was used to drive general formula to calculate the variations in the elements due to the variations in their masses and what so called periastron effects
Decrypting the Central Mystery of Quantum Mathematics:: Part 3. A Non-Einstein, non-QM View of Bell Test Experiments
The fact that loophole-free Bell test experiments have proved Einstein’s local realism wrong, does not prove that the quantum mechanical (QM) model is correct, because the Theory of Elementary Waves (TEW) Axioms can also explain the Bell test experiments. Bi-Rays are a pair of coaxial elementary rays traveling at the speed of light in countervailing directions. In a Bell test experiment a Bi-Ray stretches from Alice’s equipment, through the fiberoptic cable, across the 2-photon source, through more fiberoptic cable, to Bob’s equipment. A pair of entangled photons is born into that Bi-Ray. Each photon follows the same Bi-Ray in opposite directions. This model produces the same Bell test results found by QM. According to QM this would be classified as a “non-local” model, so it is no surprise that it can explain the Bell test results. But it is a different model than QM. TEW supports a more realistic view of Nature, based on better Axioms. Although QM can explain quantum experiments, it requires that you believe the quantum world is weird. TEW Axioms explain the quantum world in a way that is more intuitively similar to the world of everyday experience
What is Heat; The Photon is Heat
All photons will burn you. How do we describe photons as having different amounts of energy? This paper illustrates photons do not have different amounts of energies, rather different types of energy. The experiment of 1800 provides enough data to be analyzed because it has that third point to question the idea that photons carry different amounts of energy. This paper argues that all photons have equal amounts of energy just different types of energy. The composition of the energy within a photon depends on the frequency of a photon, a lower frequency photon like those represented by infrared can boil water faster than higher frequency blue light. A higher frequency photon like a gamma particle is stopped by lead. Given the nature that heat is from photons we can start thinking of sophisticated thermometers that give us the quality of heat not just the quantity of heat. It is the atmosphere that gives more evidence around the nature of photons, we can understand the cycle of the photon/ photonic cycle/ electromagnetic cycle, allowing us to ponder on deep philosophical meanings, intelligent life is there for universe to sustain itself, as well as ask the question why we are not burning given the nature of low frequency electromagnetic radiation. And for those vigorously looking for habitable planets out there, the idea of the circumstellar habitable zone must change to accommodate the proper understanding of heat
Law of gravity
This essay introduces a realistic look at our laws of gravity, and the effects thereof, and it goes beyond to reveal how and by what gravity comes about in the fundamentals of nature upon which the earth and all spheres rest
A Classical Geometric Relationship That Reveals The Golden Link in Nature
This paper introduces the perfect complementary relationship between the 3-4-5 Pythagorean triangle and the 1:2: right-angled triangle. The classical geometric intimacy between these two right triangles not only provides for the ultimate geometric substantiation of Golden Ratio, but it also reveals the fundamental Pi: Phi correlation (π: φ), with an extreme level of precision, and which is firmly based upon the classical geometric principles
Acoustic Tunnelling of Internal Gravity waves in the stratified fluids: Acoustic Tunnelling
This paper focuses on the study of acoustic propagation of internal gravity waves which generates small scale variations through propagation and hence can obtain transmission co-efficients using N2 buoyancy frequency variation of a compressible stratified fluid for a small regions. We have also analysed the results using the asymptotic expansions for large compressible limits. The reduction of the transmission in the N2-barrier region for the density layers sandwiched along with acoustic waves is obtained through graphs for different density barrier regions. The dispersion characteristics shows the contours of the transmission in the wave number plane. The curves for ! < N0 are hyperbolic, representing internal gravity waves as these become the dispersionwaves for an incompressible fluid and the curve with ! > N0 are ellipsoids which represent the acoustic gravity or infrasonic waves for the cut off frequenc
Deterministic Irreversibility and The Matter Structure
The role of existence of the deterministic irreversibility mechanism in development of evolution physics is studied. The short explanation of physical essence of this mechanism is offered. Based on this mechanism, is proved, that the base element of matter should be an open non-equilibrium dynamic system (ONDS). The principles of the emergence, existence and development of the ONDS hierarchical structure are considered. The questions about hierarchy of the matter and existence of stationary states ONDS are studied. The question, how external constraints determine of the evolution of ONDS, is analyzed. Equations that determine the development of ONDS are submitted
Anti-aging Effect of Free Curcumin and Niosome Entrapping Curcumin in H2O2-induced Aging in Human Fibroblast Cell Lines
Aging is not a disease but it a changes that come with time, aging may make an individual susceptible to disease. Exposure to smoke, UV radiation, chemicals or other exogenous agents over time can damage cells, as can produce DNA replication errors or oxidative stress. The use of antioxidant curcumin can produce intracellular defenses in addition to low expensive and no side effect. In the present study, hydrogen peroxide (H2O2) was used to produce oxidative stress in Human Fibroblast cell lines (HFB4) and free curcumin and niosome entrapping curcumin treatments are used for aged HFB4 cell lines. Using Flowcytometry analysis, p 16 INK4a and p53 BP1 genes levels were investigated as aging biomarkers. Result show that H2O2 treated cell lines are highly elevate p16 INK4a and p53 BP1 genes. While HFB4 cells treated with free curcumin and niosome entrapping curcumin were significantly protected against aged process
Some modifications on RCAM for getting accurate closed-form approximate solutions of Duffing- and Lienard-type equations
In this work, authors propose some modifications Adomian decomposition method to get some accurate closed form approximate or exact solutions of Duffing- and Li´enard-type nonlinear ordinary differential equations.Results obtained by the revised scheme have been exploited subsequently to derive constraints among parameters to get the solutions to be bounded. The present scheme appears to be efficient and may be regarded as the confluence of apparently different methods for getting exact solutions for a variety of nonlinear ordinary differential equations appearing as mathematical models in several physical processes
A Parabolic Transform and Averaging Methods for General Partial Differential Equations
Averaging method of the fractional general partial differential equations and a special case of these equations are studied, without any restrictions on the characteristic forms of the partial differential operators. We use the parabolic transform, existence and stability results can be obtained