Tag: matrix-valued

  • A Scientific Breakthrough By an ATAA Member

    A Scientific Breakthrough By an ATAA Member

    Dear Readers,

    Today is truly a “Happy Republic Day!” for all of us, Turks, Turkish-Americans, and Turkic people around the world, indeed…

    I have been involved in a momentous development in California in the last 48 hours and I can hardly contain my excitement.

    A Turkish-American Professor, a long time personal friend of mine, finally made the ground breaking announcement of invention and other fruits of his multi-year research, after securing his patent, of course, in an email to me yesterday. He wanted me to break the news to the world which I shall do, to the best of my ability. I am hoping that each and every one of you, will do the best you can do to make this unique success story known to the world, while taking credit for the half a million members of the Turkish American community. I am in the process of preparing press releases in four languages and other languages will follow.

    Now, a few words about the inventor and his invention…

    HOW MOMENTOUS IS THIS INVENTION?

    As the scientific community knows well, the issue of gravity is far from settled. It may be, though, after Prof Hasan Sehitoglu’s invention.

    Think about THE THEORY OF GRAVITY finally explained completely, removing the heretofore unanswered questions and doubts, through sound experimentation and advanced mathematical modeling.

    Better yet, think about the timeline: Isaac Newton —> Albert Einstein —> Prof. Hasan Sehitoglu.

    Prof Hasan Sehitoglu has B.S. degree from Middle East Technical University (METU) in Ankara, Turkey; M.S. and Ph.D. degrees from University of Illinois at Urbana-Champaign, USA. He is an expert on matrix-valued dynamic systems and their control and served as an engineering faculty member at several universities including Louisiana State University-Baton Rouge and California State University-Fullerton.

    ANOMALIES UNEXPLAINED BY THE CURRENT THEORY OF GRAVITY

    Many people may be surprised to hear that the current theories of gravity are far from explaining a growing number of astronomical anomalies and problems that neither Newton’s theory nor Einstein’s General Relativity are able to properly address.

    Consider the facts, for example, that…

    1- … General Relativity is incompatible with Quantum Mechanics. In other words, Einstein’s theory cannot “quantize” the gravitational field;

    2- … General Relativity is unphysical;

    3- … there is no universal law for conservation of energy & momentum in General Relativity;

    4- … the kind of black holes and gravitational waves predicted by General Relativity have never been observed;

    5- … General Relativity cannot even explain an astrophysical system with more than 2 bodies;

    6- … there has never been a rational treatment of the Solar System as a unit;

    7- … rotation curves of spiral galaxies show flat or increasing velocity distribution;

    8- … gigantic clusters of galaxies, called Great Walls, show river-like flow patterns;

    9- … formation of these Great Walls would take many billion years more than 13.7 billion years of finite Universal life predicted by the cosmology of General Relativity;

    10- … there is a secular increase in the Astronomic Unit. The increase is 15 cm/year.

    11- … Pioneer 10 and 11 spacecraft experience anomalous deceleration.

    12- … others.

    THE SEHITOGLU GRAVITY THEORY SCIENTIFICALLY EXPLAINS ALL OF THOSE ANOMALIES

    Now let’s see how THE SEHITOGLU THEORY is both physically and mathematically correct in addressing the discrepancies listed above:

    a) The Sehitoglu Theory is compatible with Quantum Mechanics. Finally, the gravitational field is “quantized”;

    b) The Sehitoglu Theory starts with the principal of conservation of energy & momentum and uses this principal whenever possible;

    c) The Sehitoglu Theory is compatible with the Theory of Special Relativity;

    d) The Sehitoglu Theory is a covariant field theory.

    e) The Sehitoglu Theory is independent of the coordinate system employed.

    f) The Sehitoglu Theory passes all the experimental tests of gravity.

    g) The Sehitoglu Theory answers and solves many challenging questions and problems. For example, it explains

    – the origin of the Cosmic Microwave Background Radiation and why CMBR is isotropic.
    – the motion of the Sun and the planets as a dynamic system of N bodies.
    – why the rotation curves of spiral galaxies are flat or rising.
    – the origin of the gravitational red-shift
    – gravitons and the wave/particle duality of gravitational energy.
    – why a magnetic charge does not exist in the Nature.

    (For more details, please visit the Sehitoglu Theory website at: )

    THE THEORY OF GRAVITY

    The laws of physics are mathematical equations put together to explain experimentally observed facts. History teaches us that, as technological breakthroughs increase and theoretical advances broaden our knowledge base, there comes a time period during which the best theories fail to explain the most recent observations. New questions, unsolved problems and anomalies begin to accumulate. Since it is impossible to explain and solve the growing number of questions and problems within the original framework of the established theories, some scientists resort to inventions and speculations. Have we reached such an inflection point in our quest for understanding the physical phenomenon called gravity? The answer is a definite “Yes”.

    For an explanation as to why there is a need for a correct theory of gravity, please see the PROLOG section of The Sehitoglu website . This section also reviews the criteria for a viable theory of gravity, the elements of which were developed by the late Prof. R. H. Dicke and Prof. C.M. Will. The review is necessary to screen non-scientific or metaphysical theories. Sehitoglu also expresses his respect and appreciation to Isaac Newton and Albert Einstein for their incredible accomplishments.

    MATRIX-VALUED MATHEMATICS

    Although the concept of matrix has an important place in mathematics, science, and engineering, the use of matrices has not been as penetrating as the use of vectors. For example, while we have an extensive catalog of vector-valued ideas and methods such as vector-valued calculus and vector-valued geometry, we don’t see much coverage in the literature concerning matrix-valued calculus and matrix-valued geometry.

    The main advantage of using vectors is the fact that vectors enable us to express mathematical and physical relationships in a concise manner. However, for many purposes, the concept of a vector is extremely limited in scope. For example, the solution of equations usually leads to the operation of division, an operation which is not unique in the case of vectors. The matrix-valued algebra and calculus provide the necessary generalizations. The concept of a matrix also brings the advantage of a concise notation. More importantly, the matrix-valued platform allows us to formulate ideas and relationships in such a way that there is relatively easy transition from a given coordinate system to another. There are pages in the website devoted to the foundations of a matrix-valued mathematics.

    MATRIX-VALUED SCIENCE

    The universal laws must be identical for all observers. This requires that the scientific laws describing Nature must be independent of arbitrary choices of coordinates or reference frames. For example, although we can employ Cartesian or spherical coordinates to describe the inputs (e.g. forces) and outputs (e.g. position and velocity) of a system, the ensuing motion of the system in itself does not depend upon which of these coordinate frames we choose to work within. In other words, the “form” of the universal laws must be invariant under arbitrary differentiable coordinate transformations.

    Furthermore, a coordinate free formulation of the universal laws must be such that this formulation is the simplest and the most transparent one available to us. In short, the formulation must be powerful and elegant.

    Matrices can be utilized to quantify sets of physical variables. Since transformation rules for matrices undergoing a change of coordinates have been well researched and understood, we can express the universal laws in terms of matrix-valued entities without any explicit choice of a coordinate system. It appears that matrix-valued laws have three main advantages over tensor formalism:

    1- Matrix-valued equations are component free, hence they are elegant.

    2-Software based computational tools for matrix-valued equations are well established and easy to use. Therefore, they are powerful.

    3-Matrix-valued equations can be given geometric interpretation (both Euclidean and Riemannian). This is an important tool because it helps us to visualize higher-order multi-variable systems.

    MATRIX-VALUED ENGINEERING AND TECHNOLOGY

    The Sehitoglu website , in its Engineering & Technology pages, demonstrate how the matrix-valued methods and algorithms can be utilized to create new and innovative hardware and software systems.

    For example, it has been about 200 years since J.B.J. Fourier invented his method that transforms data from time domain to frequency domain and vice versa. However, since that time, his method has been confined to the narrow domain of scalar functions. The documents on the first page of the The Sehitoglu website , “MIMO Signal Processing”, disclose algorithms that generalize the Fourier Transform to the matrix domain.

    The matrix-valued Fourier Transform has numerous engineering applications. See, for example, The Sehitoglu website “4G Wireless & Beyond” page where Sehitoglu demonstrates a matrix-valued OFDM technology for the 4th generation wireless communications systems .

    The Sehitoglu website show that a matrix-OFDM system can easily achieve a multi-Gigabit data rate in UNII band under 6GHz, which is unattainable with the existing technology.

    See The Sehitoglu website for a table showing some of the relationships between Sehitoglu methods and algorithms and the various scientific, engineering, and business application areas. The commercialization of the Sehitoglu advanced technologies is an on-going process.

    THERE ARE TWO MAJOR SIDES TO THE SEHITOGLU DISCOVERY

    First, it presents a modern-day account of matrix analysis and calculus geared towards to the needs of scientists, engineers, and applied mathematicians. In this regard, the Sehitoglu site
    describes new matrix-valued methods and algorithms.

    Second, it shows how these matrix-valued concepts can be applied to create innovative technologies and next-generation systems that were not possible before.

    HAPPY (TURKISH) REPUBLIC DAY!

    The Sehitoglu Theory is a Gravity Theory that scientifically explains the heretofore unexplained realities and anomalies observed in space.

    Inventor dedicates his timeless discovery to Ataturk, the entire Turkish Nation, and the Turkish-Americans community.

    Happy Republic Day to all !

    ***

    Please Note: All references above were quoted with permission from Prof. Hasan Şehitoğlu.