arXiv subjects

Edgar Paternina

Publications and source records attributed to Edgar Paternina.

6 recordsLinked to original sources

arXiv2001

The Principle of Synergy and Isomorphic Units, a revised version

A solution to the part and whole problem is presented in this paper by using a complex mathematical representation that permits to define the Holon concept as a unit that remains itself in spite of complex operations such as integration and derivation. This can be done because of the remarkable isomorphic property of Euler Relation. We can then define a domain independent of the observer and the object where the object is embedded. We will then be able to have a Quantum Mechanics solution without the "observer drawback", as Karl R. Popper tried to find all his life but from the philosophical point of view and which was Einstein main concern about QM. A unit that has always similar or identical structure or form, despite even complex operations such as integration and derivation, is the ideal unit for the new sciences of complexity or just the systems sciences where structure or form, wholeness, organization, and complexity are main requirements. A table for validating the results obtained is presented in case of the pendulum formula.

physics.gen-ph↗

arXiv2000

Is the Basic Unit System a String?

The main aim of this paper is to present an overview of the need of a new way of coping the fundamental equations of physics, see the references. Our main aim is to build a new metrics in which both time and space are included, but in some sort of minkowskian union of the two and in such a way that that union preserves an independent reality, and where energy, can be taken as the real fundamental issue of that metrics, instead of the particle concept. A departure from General Theory of Relativity is clear, but then the BUS concept behaves itself as a fundamental string.

physics.gen-ph↗

arXiv2000

The Principle of Synergy and Isomorphic Units

A solution to the part and whole problem is presented in this paper by using a complex mathematical representation that permits to define the Holon concept as a Basic Unit System that remains itself in spite of complex operations such as integration and derivation. This can be done because of the remarkable isomorphic property of Euler Relation. We can then define a domain independent both of the observer and the object, as within it, the object is embedded. We will then be able to have a Quantum Mechanics solution without the "observer drawback", as Karl R. Popper tried to find all his life but from the philosophical point of view and which was Einstein main concern about QM too. A unit that has always similar or identical structure or form, despite even complex operations such as integration and derivation, is the ideal unit for the new sciences of complexity or just the systems sciences too, where structure or form, wholeness, organization, and complexity are main requirements. A table for validating the results obtained is presented in case of the pendulum formula.

physics.gen-ph↗

arXiv1999

Gravitational Fields and The Basic Unit System concept

This is the third one of three papers I have presented as an application of the Basic Unit System concept, a complex mathematical unit presented in The Basic Unit System concept and The Principle of Synergy. In this case this Bus concept is used as a powerful tool to obtain again those gravitational field equations of normal planets, deviation from them as that of Mercury, but also a proposal made by the astronomer Micheal Disney in his book the Hidden Universe about Dark Matter. The emerging proposal is then to see the cosmic system as a Steady Open System, state that is continually exchanging energy, matter and information, and in it Dark gravity bodies can be seen as gravity compensators of the whole system. But then appear new forces when the whole system is considered.

physics.gen-ph↗

arXiv1999

Electromagnetism, Relativity and The Basic Unit System concept

This is the second of three papers I will present as an application of the Basic Unit System concept, a complex mathematical unit presented in The Basic Unit System concept and The Principle of Synergy. In this case this Bus concept is used as a powerful tool to obtain again the Lorentz Transformation Groups of equations, and then to present the emergent proposal that the fundamental is the magnetic field, and not the charge concept. The need to obtain "waves solution" is solved concomitant with the Bus concept as we have seen in the physics/9908040 .

physics.gen-ph↗

arXiv1999

The Basic Unit System concept and The Principle of Synergy

The purpose of this paper is to present a new proposal to both dualistic and holistic paradigm, by introducing a complex basic unit system mathematical concept in which the quantitative and the qualitative aspects of reality commingle in a unit, and by presenting a new principle, the principle of synergy, we have then a new framework in which the opposites can become complementary. The purpose of the Bus is to establish a complex mathematical unit concept based on Euler relation from which reality, physical reality can be treated and interpreted, starting from more basic principles or just from a unified theoretical point of view. The exact simple pendulum formula and the well-known Schodinger Wave Equation will be the starting point. This approach will mean a departure from the normal evolution of physical western science had taken, but its main advantage will not only be a synthesis of that science but also a unification that will permit validate those great achievements of figures like Galileo, Newton, Ampere, Faraday, Maxwell, Einstein and Schodinger by embedding those achievements in a unified mathematical-theoretical framework. The origin of this work goes back to 1991(copyright in Dec 1991 as Fisica y Realidad), and then 1997 it had a second version, and in 1999, the version from which I have taken excerpts to prepare this paper.

physics.gen-ph↗