Slobodan Nedic
Slobodan Nedic is a senior research associate at the Faculty of Technical Sciences of the University Novi Sad, Serbia. He graduated at the School of Electrical Engineering of the Belgrade university at 1974 and received the Master of Science degree in 1980. His professional carrier has started with the Institute of Michael Pupin in Belgrade in 1975, on development, production and deployment of voice-band modems. The academic year 1981/82 he has spent at the Technische Hochschule Darmstadt, Germany, as a guest researcher supported by the DAAD. From 1990 to 1984 worked at the Central Research Laboratory of the NEC in Kawasaki, Japan, research and development of wireless and wire-line broadband data communications systems. After four years spent at the Michal Pupin institute, Slobodan continued with R
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transverse acceleration, rj&& + 2r&j& = L& / r ≡ 0 ) and rectilinear motions (through the constancy of total energy, which is nothing else than the definitional relation of the potential energy as the acquired and/or lost kinetic energy in the potential field) as orbital motion’s two Prime integrals. However, since the very presence of non-zero tangential acceleration in the observed trajectories of orbital bodies as well as in the produced solutions, the validity of the related First integral ‘status’ of both of these (otherwise, interdependent) quantities should have long been questioned.
been determined by the foundations of the classical, analytic and rational mechanics, classical thermodynamics
along statistical mechanics, as well as the essentially probabilistic methodology of the quantum mechanics in
twofold manner: for one thing, the biochemistry and/or the societal systems inherent phenomena as irreversibility,
emergence and/or self-organization, multi-layerdness, dissipativity (in terms of unaccounted for energy inflow),
etc., having been considered as fully alien to the ‘old science’ domains ranging from atomistic/molecular to
cosmology, and for the other – in essentially re-using i.e. somewhat modifying and extending the existing
methodologies, including intra-layers/scales renormalizations [1].
With the advent of working with and development of complex systems pertinent methodologies of analysis
and modeling the awareness is increasing of the need to look at the parts of systems not as being universal and the
way parts “work together” being specific for each system, but rather the parts working together and interacting be
considered and studied in general, and by doing so to be gaining insight into every kind of systems that exist –
from physics and meteorology, over biochemistry, to societal and mental processes.
Since all the systems can ultimately be reduced down to atoms and the pertinent ‘particles’, and having in
mind that physics in that domain had been strongly influenced by the already some more of four centuries old
Kepler’s and subsequent Newton’s works, enough thorough analysis and scrutinizing [2,3] reveals intrinsic
deficiencies of Newtonian and all other ‘mechanics’ and physics (including the GTR) in general, which can be
traced back to formulation of gravitational, and later electric and magnetic fields, as the so-called (single, to more
specific) potential fields, that is fields in which work over closed path (i.e. over the orbital body/particle trajectory)
is zero. Furthermore, due to essentially non-oscillatory form of the pertinent differential equations of motion, to
arrive at the pragmatically satisfying trajectory solutions the two so-called First Integrals (first-order non-linear
differential equations) – time-independent (conserved) total (sum of kinetic and potential) energy and the angular
momentum - have essentially been postulated, based on which – along the indispensable initial conditions (to come
to be considered as the “part of natural laws”) produce solutions which do not satisfy those very “Integrals” !?
Introduction of another, explicitly centrifugal central force/acceleration term proportional to 1/r^3 (besides the
1/r^2 proportional centripetal one) – in line with Kepler’s own physical considerations, over Leibniz’s differentialgeometric
founded proposition, to recent extension and reformulation of the Gordić’s differential set-up - reference
4. in [2]), the non-linear differential equation is produced, the solution of which reveals the non-recursive i.e.
‘chaotic’ behavior, along the possibly inherent multiscaledness & bifurcations. Based on full support of
universality of such modeling that comes from the consistently developed and very compelling Aetherodynamics
(reference 7. in [2]), by the presentation to be prepared will be covered the complex systems relevant topics, as:
Non-conservativeness vs. Conservativeness; Morphysm/Negentropysm vs. Enthropysm; Asymmetry vs.
Symmetry; Multi-scaling vs. Multi-dimensionality, and the Unpredictable Determinism vs. Stochasticity.
[1] Roberts, A.J., Model Emergent Dynamics in Complex Systems, May 25, 2018. (freely downloadable, June ‘18)
[2] Nedic, S., NL-DE based modeling of natural orbital systems without reliance on conservation of energy and
angular momentum, General Science Journal, 2017.
https://www.dropbox.com/s/i756c8w4xbu56sb/Paper_Slobodan_Nedic_NL-DE_GSJ-Submission%20-%20Rev1.pdf?dl=0
[3] Nedic, S., Kepler’s Equation and Angular Momentum.
https://www.dropbox.com/sh/zyaa2bv36yv3shj/AACmw0_lb6nCbYsne3gRiwV1a?dl=0
Papers
transverse acceleration, rj&& + 2r&j& = L& / r ≡ 0 ) and rectilinear motions (through the constancy of total energy, which is nothing else than the definitional relation of the potential energy as the acquired and/or lost kinetic energy in the potential field) as orbital motion’s two Prime integrals. However, since the very presence of non-zero tangential acceleration in the observed trajectories of orbital bodies as well as in the produced solutions, the validity of the related First integral ‘status’ of both of these (otherwise, interdependent) quantities should have long been questioned.
been determined by the foundations of the classical, analytic and rational mechanics, classical thermodynamics
along statistical mechanics, as well as the essentially probabilistic methodology of the quantum mechanics in
twofold manner: for one thing, the biochemistry and/or the societal systems inherent phenomena as irreversibility,
emergence and/or self-organization, multi-layerdness, dissipativity (in terms of unaccounted for energy inflow),
etc., having been considered as fully alien to the ‘old science’ domains ranging from atomistic/molecular to
cosmology, and for the other – in essentially re-using i.e. somewhat modifying and extending the existing
methodologies, including intra-layers/scales renormalizations [1].
With the advent of working with and development of complex systems pertinent methodologies of analysis
and modeling the awareness is increasing of the need to look at the parts of systems not as being universal and the
way parts “work together” being specific for each system, but rather the parts working together and interacting be
considered and studied in general, and by doing so to be gaining insight into every kind of systems that exist –
from physics and meteorology, over biochemistry, to societal and mental processes.
Since all the systems can ultimately be reduced down to atoms and the pertinent ‘particles’, and having in
mind that physics in that domain had been strongly influenced by the already some more of four centuries old
Kepler’s and subsequent Newton’s works, enough thorough analysis and scrutinizing [2,3] reveals intrinsic
deficiencies of Newtonian and all other ‘mechanics’ and physics (including the GTR) in general, which can be
traced back to formulation of gravitational, and later electric and magnetic fields, as the so-called (single, to more
specific) potential fields, that is fields in which work over closed path (i.e. over the orbital body/particle trajectory)
is zero. Furthermore, due to essentially non-oscillatory form of the pertinent differential equations of motion, to
arrive at the pragmatically satisfying trajectory solutions the two so-called First Integrals (first-order non-linear
differential equations) – time-independent (conserved) total (sum of kinetic and potential) energy and the angular
momentum - have essentially been postulated, based on which – along the indispensable initial conditions (to come
to be considered as the “part of natural laws”) produce solutions which do not satisfy those very “Integrals” !?
Introduction of another, explicitly centrifugal central force/acceleration term proportional to 1/r^3 (besides the
1/r^2 proportional centripetal one) – in line with Kepler’s own physical considerations, over Leibniz’s differentialgeometric
founded proposition, to recent extension and reformulation of the Gordić’s differential set-up - reference
4. in [2]), the non-linear differential equation is produced, the solution of which reveals the non-recursive i.e.
‘chaotic’ behavior, along the possibly inherent multiscaledness & bifurcations. Based on full support of
universality of such modeling that comes from the consistently developed and very compelling Aetherodynamics
(reference 7. in [2]), by the presentation to be prepared will be covered the complex systems relevant topics, as:
Non-conservativeness vs. Conservativeness; Morphysm/Negentropysm vs. Enthropysm; Asymmetry vs.
Symmetry; Multi-scaling vs. Multi-dimensionality, and the Unpredictable Determinism vs. Stochasticity.
[1] Roberts, A.J., Model Emergent Dynamics in Complex Systems, May 25, 2018. (freely downloadable, June ‘18)
[2] Nedic, S., NL-DE based modeling of natural orbital systems without reliance on conservation of energy and
angular momentum, General Science Journal, 2017.
https://www.dropbox.com/s/i756c8w4xbu56sb/Paper_Slobodan_Nedic_NL-DE_GSJ-Submission%20-%20Rev1.pdf?dl=0
[3] Nedic, S., Kepler’s Equation and Angular Momentum.
https://www.dropbox.com/sh/zyaa2bv36yv3shj/AACmw0_lb6nCbYsne3gRiwV1a?dl=0
to mathematical, physical and philosophic-epistemological of Mihailo Petrovi Alas, in the context of his all-encompassing
search for the unique analogue core of all the seemingly disparate phenomena. His work is viewed at as consisted of very
relevant results and fruitful ideas which should contribute to fulfillment of his scientific, as well as overall-philosophic and civilizational
ideal the unification of all natural and social phenomena and processes into one common physical-mathematical
framework, and thus contributing to the ultimate overcoming of the traditional and untenable "compartmentalization" of the
science. It is arrived at the toroidal vortex structure as the scale-invariant form, whereby the universe appears as a grand recycling
of matter and movement (energy), with possibility of its substantial dynamical and mathematical-phenomenological
interaction to ensure the full correspondence between the aetherodynamics-physical and the mathematics-logical continuum.
U radu se daje jedna celovita sinteza sveukupnih aktivnosti i istrazivackog stvaralastva od
ribolovackog, preko muzicarskog, 'avanturistickog' i knjizevnog, do matematicarskog, fizicarskog i filozofsko-
epistemoloskog - Mihaila Petrovica Alasa, u kontekstu njegove sveobuhvatne potrage za jedinstvenim analoskim
jezgrom naizgled disparatnih prirodnih pojava. Njegovo delo posmatrano je kao sacieno od veoma relevantnih
rezultata i plodnih ideja koje bi trebalo da dovedu do ispunjenja njegovog naucnog, kao i opste-filozofskog i civ-
ilizacijskog ideala - unificiranja svih prirodnih i drustvenih pojva i procesa u jedan zajednicki fizikalno-
matematicki okvir, i tako se doprinese konacnom prevazilazenju tradicionalnih i neodrivih razdeoba u nauci.
Dolazi se do toroidalne vrtlozne strukture kao skalno-invarijantne forme, gde se svemir pojavljuje kao jedna ve-
lika reciklaza materije i kretaa (energije), sa mogucnoscu da njene substancijalne dinamicke i matematicko-
fenomenoloske interakcije obezbede potpunu korespondenciju izmedju eterodinamicki-fizikalnog i matematicko-
logicarskog kontinuuma.
Кеpler’s Equation, which relates the eccentric (and, intermediately, the true) anomaly of the planetary trajectories to the uniformly flowing time, in accordance with his Second (surface) law, in this paper are perceived with it connected certain deficiencies of the orbital mechanics and dynamics, caused by absence of the Kepler’s accompanying physical considerations, and which are repercuted in: reliance on the so-called Invariants – the First integrals of Energy and of the Angular
Momentum, implicit Conservativeness, canonic formalism and omnipresence of the Symmetry principle, as well as the essential lacking of the explicit centrifugal force and its substitution by the fictitious one. It is given а survey of the Kepler’s strivings and the results attained, as well as of his key role in the historical development of the mechanics, physics, astronomy and astrophysics, and the science in general – through insights in the branching of the science development over Newton
(instead over Descartes and Leibniz), the incomplete congruence among his physical considerations and the ultimately formulated laws, and also of the non-existent transverse acceleration ‘implied’ by the Kepler’s Second law. In support of the justification of the neglected development direction and the fundamentality of the Kepler’s insights in the need for both the attractive an repulsive interactions of the orbital and central body – the Sun, the Kepler-Ermakov second order non-linear
differential equation has been reaffirmed along its adequacy for the phenomenological modeling of dynamic interactions on all the ‘scales’ in Nature: with brief reference to the “General Aetherodynamics” of V.A. Atsukovsky, as the basis for reuse and justification of insights/results of Descartes, Leibniz, Boscovich, D’Alambert, Engels, H. Strache, M. Petrović, M. Milanković, and P. Savić. Certain implications to the Elliptic Integration, the Simplectic Integration, Simplectic
Geometry/Topology, as well as the connection between physical and mathematical continua in the context of the multi-level, scale-invariant mechanics and/or dynamics - will be briefly mentioned.