Science&Philosophy
The main aim of this site is to share what I call my small
contribution to the evolution of philosophy of science. In that intent we will present
initially four papers, in which a new methodology
based on complex numbers will be introduced. The idea of the four papers is to
put under a same theoretical framework all those fundamental equations of
physics, such as that one of the pendulum, the Schrödinger’s complex wave
equation, the Lorentz transformation group and finally those equations that
have to do with gravitational fields. It has been disappointing for me to
know that "modern physicists" do not consider important anymore this
kind of endeavour, on the contrary their main concern is to start
philosophically
or theoretically not with
fundamental equations, but with the chemistry of nuclear interactions, I mean, not with the electron
as a fundamental entity but with all those
entities that can be decomposed, and as so are not fundamental ones after all.
Papers:
1. Is the
Pendulum an Open Dynamic System?
Abstract. In this paper the pendulum
formula and its approximation factor, that can be validated with what has been
observed in the reality “out there”, are presented by using the basic unit
system concept based on Euler relation. This is really a mathematical
methodology to represent what we have observed in the reality out there in a
most precise way; it is just a mathematical exercise in which complex numbers
play a fundamental role. The pendulum as a real open dynamic system permits us
to think that that methodology can be used to generalize the three Newton’ laws
of movement.
Comments: 7 pages, equations, 1 figure
and a table.
2. The Schrödinger’s wave
equation and the rationalization of duality
Abstract. In this paper the Schrödinger’s wave equation is presented under the concept of the basic unit system, which is a tool with we pretend to follow both the induction and deduction method. By using complex numbers we find that the duality of time and space cannot be dropped out by just taking the square of a complex equation, as in this way, we drop out not just one part of that complex equation, but we do not rationalize or solve that duality of space and time, of wave-particle, anymore. In this case by duality we do not mean two methodologies to treat two different-apparent-contradictory behaviors of a same entity, I mean energy; in fact that duality is rationalized by the complex Schrödinger’s wave equation.
Comments. 7 pages, 22 equations.
3. The Lorentz Transformation Group from a non relativistic point of view
Abstract. The aim of this paper is to
present the LTG under a more general and dynamic context than that of systems
in uniform translatoy
motion, in which
SR was conceived; in this way even that
famous equation of the equivalence of mass-energy can be found in a more
consistent and natural way; in a certain sense this approach can be considered
a philosophical and semantic evolution of that work of Einstein though. Two
main points must be recalled additionally: one has to do with the complex plane
considered in this case sort of dynamical background; the other one has to do
with the fact that the magnetic field is taken as the fundamental physical
field, what is expressed in a proposed new order of Maxwell’s equations.
Comments, 12 pages, 4 figures and
equations
4. A Quantum Mechanics Theory of
Gravitation? (N/A)
Abstract. In preparation
About the author.
I am a retired electrical engineer who, in 1968, was deeply impressed by Euler relation when I realized that with it, those operations that represented change, i.e., integration and derivative, they remained with the same form, except for a displacement of (+/-) 90 degrees, that as a matter of fact define the complex plane, sort of canvas where the dynamic nature of reality can be represented
Edgar Paternina
email: [email protected]