A (very) short selection of Assis's work:
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A. K. T. Assis, "On Mach's principle," Foundations of Physics Letters,
Vol. 2, pp. 301-318 (1989). Abstract: We propose the postulate that the
resultant force acting on any body is zero. With this postulate and with
a Weber law for gravitation, we obtain equations of motion and conclude
that all inertial forces are due to gravitational interaction with other
bodies in the universe, as suggested by Mach. We then obtain the same value
for the advance of the perihelion of the planets as is given by general
relativity. All this is accomplished in a strictly relational theory. Finally,
we relate these points to topical questions of electrodynamics raised by
the experimental studies of Graneau and Pappas.
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A. K. T. Assis, "On Hubble's law of redshifts, Olbers' paradox and the
cosmic background radiation," Apeiron, Vol. 12, pp. 10-16 (1992). Abstract:
We utilize the principle of conservation of energy in a model which explains
the cosmological redshift, Olbers' paradox and the cosmic background radiation.
The model is based on a hypothesis of absorption and emission of light
by galactic and intergalactic matter, and a mean temperature of matter
in the universe compatible with the background radiation. We also discuss
the early works of Regener and Nernst related to these topics. Lastly we
derive some known scaling laws for galaxies, i.e., luminosity to mass and
luminosity to area, which had not been well understood up to now. All of
this is accomplished supposing a boundless, stationary universe that is
homogeneous on the large scale.
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A. K. T. Assis, "On the absorption of gravity," Apeiron, Vol. 13, pp. 3-11
(1992). Abstract: We proposed a modified Weber's potential for gravitation
that takes into account the influence of intervening matter. Then we obtain
equations of motion similar to Newton's first and second laws, and derive
the proportionality between inertial and gravitational masses. We conclude
that the gravitational absorprtion coefficient should be proportional to
the square root of the density of the intervening mediu, and that for solids
its value is approxiamtely 10^{-11} m^{-1}. All of this is accomplished
supposing a limitless, homogeneous and stationary universe.
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A. K. T. Assis, "Deriving gravitation from electromagnetism," Canadian
Journal of Physics, Vol. 70, pp. 330-340 (1992). Abstract: We present a
generalized Weber force law for electromagnetism including terms of fourth
and higher orders in v/c. We show that these extra terms yield an attractive
force between two neutral dipoles in which the negative charges oscillate
around the positions of equilibrium. This attractive force can be interpreted
as the usual Newtonian gravitational force as it is of the correct order
of magnitude, is along the line joining the dipoles, follows Newton's action
and reaction law, and falls off as the inverse square of the distance.
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A. K. T. Assis, "A steady-state cosmology," In: Progress in New Cosmologies:
Beyond the Big Bang, H. C. Arp, C. R. Keys and K. Rudnicki (editors), (Plenum
Press, New York, 1993), pp. 153-167. Abstract: We analyze a steady-state
cosmology based on a boundless universe which has always existed and which
is homogeneous on the very large scale. As this is a stationary model without
expansion, it does not require a continous creation of matter, in contrast
to the steady-state model of Bondi, Hoyle and Gold. We study the problems
and properties of this model relating to inertia and gravitation (Mach's
principle and the origin of inertia, the Seeliger-Neumann term), the cosmological
redshift (alternatives to the Doppler interpretation of Hubble's law, the
Finlay-Freundlich model), and the cosmic background radiation (predictions
of a background temperature around 3K previous to the experimental discovery
by Penzias and Wilson in 1965). Some observational tests of this general
model are outlined.
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A. K. T. Assis and M. C. D. Neves, "History of the 2.7 K temperature prior
to Penzias and Wilson," Apeiron, Vol. 2, pp. 79-84 (1995). Abstract: We
present the history of estimates of the temperature of intergalactic space.
We begin with the works of Guillaume and Eddington on the temperature of
interstellar space due to starlight belonging to our Milky Way galaxy.
Then we discuss works relating to cosmic radiation, concentrating on Regener
and Nernst. We also discuss Finlay-Freunlich's and Max Born's important
research on this topic. Finally, we present the work of Gamow and collaborators.
We show that the models based on a universe in dynamical equilibrium without
expansion predicted the 2.7K temperature prior to and better than the models
based on the big bang.
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A. K. T. Assis and P. Graneau, "The reality of Newtonian forces of inertia,"
Hadronic Journal, Vol. 18, pp. 271-289 (1995). Abstract: We present a historical
analysis of the inertial forces and of the theories developed to explain
the origin of inertia. Then we introduce the principle of dynamical equilibrium
and its relevance to mechanics. We analyse the Mach-Weber model which implements
MMach's principle with Newtonian simultaneous interactions and we argue
for the reality of the inertial forces, that is: the force of free fall
(-ma), the centrifugal force and the Coriolis force. Lastly we present
an experimental consequence of the Mach-Weber model which differs from
Newton's law of gravitation.
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A. K. T. Assis, "Weber's law and Mach's principle," In: Mach's Principle:
From Newton's Bucket to Quantum Gravity, H. Pfister and J. B. Barbour (eds.),
(Birkhäuser, Boston, 1995), pp. 159-171. Subject: We discuss the implementation
of Mach's principle based on Weber's law applied to gravitation.
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A. K. T. Assis and M. C. D. Neves, "The redshift revisited," Astrophysics
and Space Science, Vol. 227, pp. 13-24 (1995). This paper was also published
in: Plasma Astrophysics and Cosmology, A. L. Peratt (ed.), (Kluwer Academic
Publishers, Dordrecht, 1995), pp. 13-24. Abstract: We analyse the history
of modern comsmology based on the redshift phenomenon and on the cosmic
background radiation (CBR). We show the models of different authors for
the interpretation of the redshift and how the tired light models predicted
the correct value of 2.7K temperature previous to Gamow and collaborators.
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A. K. T. Assis and P. Graneau, "Nonlocal forces of inertia in cosmology,"
Foundations of Physics, Vol. 26, pp. 271-283 (1996). Abstract: This paper
reviews the origin of inertia according to Mach's principle and Weber's
law of gravitation. The resulting theory is based on simultaneous nonlocal
gravitational interactions between particles in the solar system and others
in the remote universe beyond the Milky Way galaxy. It explains the precession
of the perihelion of Mercury. A most important implication of the Mach-Weber
theory of the force of inertia is the necessity of a large amount of uniformly
distributed matter in the galactic universe. This matter could be the source
of the cosmic background radiation. Nonlocal inertia forces are compatible
with a static universe and also with an expanding universe but the latter
would demand slow changes in the mass of particles and the gravitational
constant.