From: M. R. Carvajal <carvajal57@msn.com>
Subject: Proof that work transfers no energy
Subject: Proof that work transfers no energy
Dear Professor XXX:
Although I am only a student, I casually found experimentally that, contrary to what we are taught at all levels, work does not transfer kinetic energy. The implications of this finding require that some parts of physics textbooks be revised. Attached please find the article, “The unified field theory,” where I expound this finding. I would like this article to be published by a journal, but I realize the article needs more work, which I cannot do, because of health problems. Please consider finishing this article as a coauthor or other agreement. I would appreciate your response.
Sincerely yours,
Mario R Carvajal
The unified field theory
Mario R. Carvajal*
Natural Science Research Institute, Reston, VA 20191-2803, USA.
Considering that the fundamental forces of nature –gravitational, electromagnetic, weak and
strong interactions– probably originate from a single field, physicists have long been looking for
what they called the Unified field theory. We show that physicists may be right. We found
experimentally that, contrary to common understanding, work does not transfer kinetic energy.
All active (producing change) systems that can be observed require a constant supply of
energy in some form to sustain their activity; if we assume that active systems that cannot
be observed, such as the systems of particles that constitute atoms, have the same
requirement, they must receive isotropically through space electromagnetic energy quanta
of extremely small magnitude –so far not detected– (no upper or lower limits for the
magnitude of photons has been found). The effects inherent to the process of atoms
receiving this energy, and emitting their “spent” energy, appear to reveal the origin of the
fundamental forces of nature.
PACS numbers: 11.10.-z, 11.10.Cd, 11.15.-q
The energy atoms would receive through space would enable them to react and combine
with other atoms and form the myriad substances we know. The inverse-square law of
gravitation can be derived from the momentum transferred to atoms during their
reception of this energy [1]. The “spent” energy quanta emitted by atoms, which other particles cannot receive, nevertheless have momentum, which would be transferred to the
particles they hit; the effect of these collisions depends on the mass and dimensions of the
particles. Thus, the fundamental forces of nature may be produced by the energy the
particles that make up atoms would either receive or emit –no upper or lower limit for the
magnitude of electromagnetic energy quanta have been found. An indication that the
foregoing assumption may be right, was found in a quantitative experiment in classical
mechanics.
In 1829, Gaspard-Gustave de Coriolis [2], a French mathematician and engineer,
defined work as W = F ds, which is mathematically equal to kinetic energy, (1/2)mv2
;
then it was assumed that work transfers kinetic energy, and that the work-kinetic energy
theorem, W = ΔK [3], was always true, but that is not so: only when a force is applied
directly on an object, the work done on the object equals its kinetic energy. When the
same force is applied through a multiple-disk pulley on objects of different masses, their
kinetic energies may be equal, greater, or less than the work done on the objects, in
agreement with Newton’s second law, but disproving the notion that work transfers
kinetic energy.
Following is a brief description of an experiment that shows the above is true. Three
identical three-disk pulleys, with disks of radii r, r/2, and 2r as illustrated in the FIG.
below are used in this test. For simplicity, we assume the pulleys, fastened to a table
through vertical axles, have negligible mases and there is no friction; blocks of masses m,
2m, and m/2 are attached to the cords whose other ends are wrapped around the disks of
radius r, r/2, or 2r, respectively, as shown in the figure. A cord is wrapped around the disk of radius r of each pulley, with the other end left loose.
The concept of torque, = r F = r F sin, as a “twisting force” necessary to make an
object rotate, was conceived by Archimedes, about 2200 years ago, that is, a long time
before Newton clarified the meaning of force in 1686 with his three laws of motion. Now
we know that two forces, one perpendicular to the other, are required to put an object in
rotational motion. The length of a “moment arm” r attached to a pivot does not multiply
the effect of a force: by definition, the moment arm is perpendicular to the direction of a force, and cannot change its magnitude: only another force, in the same direction of a
given force, can change its magnitude.
If work does not transfer kinetic energy, what is its origin? Because of the Doppler
Effect [4], the atoms of an object traveling in the postulated field of electromagnetic
energy quanta, or photons, would find the energy hv of the photons they absorb changed
to,
2
1 ( / )
1 ( / ) cos '
V c
V c
h h
, (1)
where V is the speed of the object, c the speed of light, and the angle of arrival of the
photons with respect to the path of the object; integrating cos for all the possible angles
of arrival of the photons, we obtain zero. Therefore, the Doppler Effect changes the
energy of the photons the object absorbs to
2
1 ( / )
1
'
V c
h h
. (2)
But the factor in parentheses is the same factor generally used to find the total energy,
i.e., rest mass and kinetic, of an object when it is moving, and its rest energy mc2
is
known. This means that the change in the kinetic energy of a moving object is produced
by a change in the magnitude of the energy the object receives to sustain its activity, due
to the Doppler Effect, and not by the work done on the object.
The fact that all observable active systems require a constant supply of energy in some
form to sustain their activity led us to assume that systems that cannot be observed, such
as those that constitute atoms, have the same requirement and receive isotropically
through space electromagnetic energy quanta of extremely small magnitude to sustain their activity. The effects inherent to the process of atoms receiving, and then emitting
their “spent” energy, appear to reveal the origin of the fundamental forces of nature. We
hope the foregoing leads to a Unified field theory.
_______________________________________________________
[1] http://hyperphysics.phy-astr.gsu.edu/hbase/forces/isq.html
[2] G-G Coriolis, Sur le principe des forces vives dans les mouvements relatifs
des maachines (J. De l'Ecole royale polytechnique 1832) pp. 268–302.
[3] Feynman, R.P., Leighton, R. B., and Sands, M., The Feynman Lectures on
Physics (Addison Wesley Publishing Co., Reading, MA, 1963) Vol. 1, p.13-3.
[4] Ashby, Neil and Miller, Stanley C., Principles of Modern Physics (HoldenDay,
Inc., San Francisco, CA 1970) p. 104.