To be added:
Cosmic Life Line
Sci Study of UFOs
Philosophy of Science
Science, Technology, Engineering, Mathematics and Philosophy
Letter to the National Science
STEM Subjects and More, May 12, 2009
- - -A Short briefing will give clear-cut evidence of a
transformative Work that will greatly alter our knowledge in physics,
engineering, mathematics, philosophy of science and other important subjects.
(Science, Technology, Engineering and Mathematics) Transformative Works:
Another Fundamental Principle of Superposition of Motion.
On the Law of Conservation of Energy.
Related (Mathematical) Philosophy of Science Works:
Plato's Dialectic and Theory of Forms.
Mathematics of "the One and Many" and the other
Aristotle's Theories of Change, Dunamis, and Entelechia.
All future specifications, statements of work, procurement and
design of aircraft, spacecraft, launch vehicles, industrial facilities,
bridges, buildings and other systems must incorporate new "dynamics principles," hitherto completely unknown. Many existing systems will
require reevaluation to enhance safety, useful life and economy of operation
and maintenance. Budgets, priorities, and actions will be different for
different groups, e.g., DOD, DOE, DOT, DOC, NSF, NASA, NIH, NOAA, USGS, NIST,
Intelligence and other agencies and the private sector.
Oscillations in Force Fields
Submitted to Physical Review Letters, July 1992
The common practice
of referring oscillations to the position of equilibrium has masked the most
important features of harmonic motion in gravitational, electric and nuclear
force fields. We show that oscillations in force fields are distinctly
different from simple harmonic motion. We clarify how the distinct difference
between the two motions lies in the forcing functions responsible for each
type of oscillation. Whereas
simple harmonic motion is strictly the result of an externally applied
force-pulse, or impulse, of short duration, force-field-harmonic-motion is
strictly the result of a series of force pulses supplied by the field itself.
Field forces sustain oscillations in the fields, and it is therefore incorrect
to cancel the effect of these forces by modeling symmetric motion about the
The SHM model is
usually referred to the equilibrium position (Fig. 1) which leads to symmetry,
simplicity and mathematical elegance… This stratagem cancels the effect of
the field force itself, and it obscures the correct behavior of an important
parameter of the oscillations… Careful examination shows that the SHM model
is not representative of oscillations in force fields.
The mass travels
between 0 and –2x, and not between –x and +x; and the spring
restoring force ranges between 0 and –2kx, and not between –kx
considerations must also be made when using Lagrange’s equation, the
Hamilton-Jacobi equation, or other methods to determine the motion of
particles, such as, the electron, in a force field.
We hope that
capable scientists, mathematicians, engineers and, even, philosophers, will
inquire into and develop the many vistas that the new concepts offer.
Harmonic Motion and the Compton Effect
Submitted to Physical Review Letters, July 1992
Invited Paper to the Conference on Lasers in Science and Technology, Amman,
Jordan, July 1993
This paper followed my extensive
dynamic transients analyses (1986-92) of Space Shuttle design - see
ShuttleFactor Report. This Work led to the invention (1992-94) of the
pulsing thrust method. All our Works lead to the important discoveries
that are described (and will be added) in the STEMnP web page.
Fig. 6(c), not discussed in this paper,
gives the simplest geometric derivation of the energy levels of the
hydrogen atom; see my comment in the Figure: "Areas of
semi-circles in descending levels are exactly proportional to
energy levels in hydrogen atom." Physicists will be
fascinated by the incredibly simple geometric derivation of a very
important concept in modern physics: Simply calculate the areas of the
half-circles. I was astonished to discover the mathematical relationship.
Euclid could have done it.
Models of bouncing-orbital motions give direct interpretation
of quantum phenomena, such as, the unexpected wavelength shift in the Compton
effect. We show how transitions from bouncing to orbital, and orbital to
bouncing, motions change the apparent frequency and wavelength of oscillators.
We also show how the well-tested Compton-Debye theoretical result, which is
derived from lengthy analysis using classical, quantum, and relativistic
concepts, is directly derivable from our models.
If our field
of view is limited to only the peak region of the wave, then it will appear to
us, and to our detectors, that the bouncing ball oscillates at twice the
frequency, or half the wavelength, as the other oscillators; and vice
versa. We can be easily perplexed by this behavior, especially, if we
expect, a priori, identical oscillations, frequencies, and wavelengths
for the three particles.
- - -where Fo is a
unit-step forcing function, which has the magnitude of the force field itself.
The general solution (the dynamic overshoot - see Shuttlefactor Report) is
also familiar- - -
Bouncing harmonic motion provides an
"easy to imagine" physical interpretation for the wavelength shift and
the persistence of the original wavelength.
Fig. 6(c), not
discussed in this paper, gives the simplest geometric derivation of the energy
levels of the hydrogen atom; see my comment in the Figure: "Areas
of semi-circles in descending levels are exactly proportional to energy
levels in hydrogen atom." Physicists will be fascinated by the
incredibly simple geometric derivation of a very important concept in modern
physics: Simply calculate the areas of the half-circles. I was astonished to
discover the mathematical relationship. Euclid could have done it.
Equation, Big Mistake
2005, Submitted to Nature Journal
Example 3: The reader
should reexamine the Principia objectively, and not be intimidated by the
seemingly indecipherable book. The book is written in simple Euclidean form
that is needlessly, though deliberately, complicated by Newton. The following
is a conspicuous, easily verifiable, example of how Newton represents
Leibniz's equation, 2mgh = mv2 , geometrically, but uses
Galileo's equation, v2 = 2gh, verbally. This Example alone
should leave no doubt in anyone's mind about the true meaning of Newton's
Second Law of Motion. All educators must grasp this Example to explain its
import to their students - - -
6: The Holy Grail for Newton's Principia is universal gravitation.
Newton does not claim that he discovered any of the Three Laws of Motion. The
title for the Laws states "Axioms, or Laws of Motion." Axioms are a
priori known facts. According to Newton, the Laws of Motion were
axiomatic, known and accepted before his book was written - - -
declared that he wanted the book to be undecipherable. The book is
decipherable, as can be seen from the evident Examples given above.
Newton did not develop the equation F = ma, then, who did?
- - - When faced with the difficult choice between truth and dear friends,
Aristotle chose Truth over a very dear and great friend, Plato. Today, the
reader faces the same choice between the Truth and another great friend, Sir
Restoration in Mathematics, Physics and
Proposal, May 2005
True Form and Meaning of the
Conservation of Energy and Momentum
Background: The laws of
conservation are called the most sacred principles in physics and the backbone
of many subjects. For over 300 years, experts attempted to develop the
conservation laws as part of the Mechanical Program. In the end, Henri
Poincare asked, "What exactly remains constant?" in energy
conservation, and Dr. Albert Einstein summarized the effort as follows, "Science
did not succeed in carrying out the mechanical program convincingly, and today
no physicist believes in the possibility of its fulfillment."
AbuTaha has pursued the Mechanical Program persistently for half a
century. He will show how everyone, including Sir Isaac Newton, mishandled the
conservation laws. AbuTaha will explain, "What exactly remains
constant?" in energy conservation. He will derive and show the
correct mathematical form and true meaning of the conservation laws. This will
profoundly impact many subjects in the arts and the sciences.
Mathematics of Dialectic and the
Background: Dialectic was
called the crowning science of all the sciences. It is the science that
studies the Forms. Plato said that Dialectic unifies fragmented sciences and
mathematics into a single reality, he developed the Theory of the Forms for
the purpose, but he did not integrate the two subjects with coherent
mathematics. For 3,000 years, no one was able to construct the arithmetic and
geometry of Dialectic and the Forms. Today, no one knows the vital role of the
Dialectic in science and engineering and, even, in economics, philosophy,
psychology, and other important subjects.
AbuTaha will reconstruct the extraordinary mathematics of Dialectic. He will
review the basics of Dialectic and the Forms as expounded by Plato and
Aristotle, Ibn Rushd (Averroes) and Al-Khawarismi (Algorismi of
mathematical-logical algorithms), Oresme of Paris and the Mertonians at
Oxford, and, in modern times, Galileo. The mathematics of the Dialectic and
the Forms will become a basic unit of study all over the world. The
arithmetic and geometry of Dialectic and the Forms will become an integral
part of commonsense. In the great tradition of western thought, this Lecture
completes a great Restoration in Mathematics, Physics, and Philosophy.
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