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# Newtonian Dynamics - Science topic

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Publications related to Newtonian Dynamics (802)

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In this work, we study the effect of insoluble surfactants on the three-dimensional rim-driven retraction dynamics of thin water sheets in air. We employ an interface-tracking/level-set method to ensure the full coupling between the surfactant-induced Marangoni stresses, interfacial diffusion and inertia. Our findings are contrasted with the (Newto...

The physical notions of gravitational geometrodynamics are best understood in an abstract setting through the lens of the underlying mathematical notions of differential geometry and topology. In that sense, abstractions are old friends of the theoretical physicist. That being said, these abstractions can quickly turn into sources of confusion if n...

Molecular dynamics (MD) simulations probe the conformational repertoire of macromolecular systems using Newtonian dynamic equations. The time scales of MD simulations allow the exploration of biologically relevant phenomena and can elucidate spatial and temporal properties of the building blocks of life, such as deoxyribonucleic acid (DNA) and prot...

Entanglement is the essence of not only quantum mechanics but also Newtonian dynamics. Entanglement is classical phenomena and does not relate to quantization. Entanglement and propagation are the two wheels of physics. Van Flandern and Vigier [Found. Phys. 32, 1031 (2002)] described that “The introduction of real physical faster-than-light propaga...

This brief paper describes how stellar orbits can be viewed as conforming to Newtonian dynamics without the need for additional non-baryonic mass.

This article presents a theoretical limit on the Brans-Dicke (BD) parameter using a neutron star (NS) revolving around a galactic central engine.The assumption that the orbital radius is large enough allows to ignore strong curvature due to the central supermassive black hole (SMBH) and treat the problem with Newtonian dynamics. First, gravitationa...

Abstract This article presents a rigorous review of the conformable fractional derivative given by J. E. Napoles in [11], studying its classical properties, as a differential operator. Likewise, applications are given to Physics, specifically to the free fall of bodies and Newton's law of cooling. Resumen En el presente artículo se presenta una rev...

I present an alternative theory of gravity that is in correspondence with general relativity (GR) and resolves the missing mass problem ('dark matter'). It is a theory of emergence of local length and time scales not measurement. While locally length or time scales are constant, measurements can be arbitrary. I use light wave as measuring instrumen...

We briefly review the current state of unification efforts between quantum field theory and general relativity theory, particularly quantum gravity (QG). We underscore theoretical and mathematical difficulties in such efforts and propose an alternative route to unity based on our recently proposed information relativity theory (IRT). In principle,...

General properties of the three-body problem in a model of modified dynamics are investigated. It is shown that the three-body problem in this model shares some characters with the similar problem in Newtonian dynamics. Moreover, the planar restricted three-body problem is solved analytically for this type of extended gravity and it is proved that...

A recent analysis of data from the ESA Gaia mission demonstrated that the kinematics of stars in the Milky Way can be modelled without invoking the presence of dark matter whatsoever. Indeed, the higher-than-Keplerian velocities observed in outer stars can be ascribed to the properties of the general relativistic (GR) metric assumed to describe the...

Recently, a geometric embedding of the classical space and classical phase space of an n-particle system into the space of states of the system was constructed and shown to be physically meaningful. Namely, the Newtonian dynamics of the particles was recovered from the Schroedinger dynamics by constraining the state of the system to the classical p...

This paper explores the abstraction of classical physics and applies several metrics that explore the evolution of social opinion. These metrics include an abstraction of Newtonian kinematics: mass, position, speed, acceleration, and Newtonian dynamics, an abstraction of force. Poll data is fit to a 2nd-order polynomial and a logistic function. The...

It is well established from various observational evidences that the relative abundance of baryonic matter in the Universe is less than 5%. The remaining 95% is made up of matter that does not interact with light (dubbed dark matter (DM)) and dark energy (source of repulsive gravity) leading to an accelerating Universe. In view of the negative resu...

The MOND paradigm is an empirical theory with modified gravity to reproduce many astronomical observations without invoking the dark matter hypothesis. Instead of falsifying the existence of dark matter, we propose that MOND is an effective theory naturally emerging from the long-range and collisionless nature of dark matter flow. It essentially de...

It has been widely recognised the student fail to grasp newtonian dynamics and its flagship law or at least conceptually never apreciate its depth to independently suggest its unificational feats in life or confidently explain motion behaviors that are its special domain and that no other principle deals with so efficiently. Intro: Issues related t...

Numerous studies & noumerous approaches have been proposed to the problem of comprehension of newtonian dynamicd ideas. Most if not all focus on epistemic misconceptions, alternative views and non svientific models. For example, Papachristou '14 calls for subleties unnoticed by students, from his teaching experience, who see the simplicity in newto...

In this work, we study the effect of insoluble surfactants on the three-dimensional rim-driven retraction dynamics of thin water sheets in air. We employ an interface-tracking/level-set method to ensure the full coupling between the surfactant-induced Marangoni-stresses, interfacial diffusion, and inertia. Our findings are contrasted with the (Newt...

The concept of impulse, as compatible with Newtonian dynamics but seen as supplementary and unificationally secondary to force is promoted to a higher role in dynamics. It is demonstrated how this results in new unificational results as an alternative way. Issues such as the inability to wholly account for some tasks of the established framework' s...

Background: Mathematical modeling in the hypothalamus pituitary thyroid system has a long history that goes back to 1950 in the previous century. The idea of a mathematical behavioural model was mainly focussed on the hormone dynamics and mutual interactions as a function of time. However, the HPT system is much richer and more complicated than, fo...

What is the Dark Matter & What if it didn't exist? Scientists believe it exists because of the apparent gravitational effects but have never observed it. What if our current understanding of gravity was just plain wrong? When analyzed using Newton's laws, several independent observations point to the fact that the visible mass in galaxies and galax...

Modified Newtonian dynamics by Milgrom is a paradigm for explaining the rotation curves of spiral galaxies and various other large scale structures. This paradigm includes several different theories. Here we present Milgrom's modified inertia (MI) theory in terms of a simple and tractable non-conservative Newtonian dynamics, which is useful in obta...

A new symmetry for Newtonian Dynamics is analyzed, this corresponds to going to an accelerated frame, which introduces a constant gravitational field into the system and subsequently. We consider the addition of a linear contribution to the gravitational potential \(\phi \) which can be used to cancel the gravitational field induced by going to the...

There are many difficulties for students when it comes to learning the fundamental relationships in Newtonian mechanics, which is supported by manifold research. Even after class the understanding of Newton's laws of motion is often inadequate, which is problematic because classical mechanics is the foundation of many other areas in physics and the...

Melting is one of the most studied phase transitions important for atomic, molecular, colloidal, and protein systems. However, there is currently no microscopic experimentally accessible criteria that can be used to reliably track a system evolution across the transition, while providing insights into melting nucleation and melting front evolution....

The observed flat rotation curves of galaxies are among a number of astrophysical phenomena which require a larger acceleration than can be provided by the Newtonian gravity of the detected baryons. The main proposed solutions are additional undetected mass in the form of dark matter, or a low-acceleration modification to Newtonian gravity known as...

This paper explores the abstraction of classical physics and applies several metrics that explore the evolution of social opinion. These metrics include an abstraction of Newtonian kinematics: mass, position, speed, acceleration, and Newtonian dynamics, an abstraction of force. Poll data is fit to a 2nd-order polynomial and a logistic function. The...

Generalized mode-coupling theory (GMCT) has recently emerged as a promising first-principles theory to study the poorly understood dynamics of glass-forming materials. Formulated as a hierarchical extension of standard mode-coupling theory (MCT), it is able to systematically improve its predictions by including the exact dynamics of higher-order co...

Using the formalism of stochastic embedding developed by Cresson and Darses [J. Math. Phys. 48, 072703 (2007)], we study how the dynamics of the classical Newton equation for a force deriving from a potential is deformed under the assumption that this equation can admit stochastic processes as solutions. We focus on two definitions of a stochastic...

The study of the activities of microeconomic systems always remains a very important task of quantitative description of these systems. The microeconomic system of stocks in general is characterized by the possession of some quantity of stocks that is a potential for the revenues generating as the result of customer demands. The quantity of stocks...

A gas composed of a large number of atoms evolving according to Newtonian dynamics is often described by continuum hydrodynamics. Proving this rigorously is an outstanding open problem, and precise numerical demonstrations of the equivalence of the hydrodynamic and microscopic descriptions are rare. We test this equivalence in the context of the ev...

The rapid increase of various mass gatherings and overcrowded festivals pose serious challenges, for example in case of emergency. Computational models may help to address issues related to these socio-physical systems, and in particular evacuating crowds. Physics-inspired self-driven particle models can describe most of the physics of moving crowd...

In this paper, we study the corrections to the Friedmann equations due to fast fluctuations in the universe scale factor. Such fast quantum fluctuations were recently proposed as a potential solution to the cosmological constant problem. They also induce strong changes to the current sign and magnitude of the average cosmological force, thus making...

In this paper we study the corrections to the Friedmann equations due to fast fluctuations of the universe scale factor. Such fast quantum fluctuations were recently proposed as a potential solution of the cosmological constant problem. They also induce strong changes to the current sign and magnitude of the average cosmological force, thus making...

The objective is to provide an interpretive reading of the literature in resource scarcity and sustainability theory from the nineteenth century to the present time, focusing on shifts that have occurred in problem definition, conceptual framing, research tools applied, findings, and their implications. My reading shows, as one would expect, that t...

In silico, cell based approaches for modeling biological morphogenesis are used to test and validate our understanding of the biological and mechanical process that are at work during the growth and the organization of multi-cell tissues. As compared to in vivo experiments, computer based frameworks dedicated to tissue modeling allow us to easily t...

Newtonian physics is based on Newtonian calculus applied to Newtonian dynamics. New paradigms such as ‘modified Newtonian dynamics’ (MOND) change the dynamics, but do not alter the calculus.
However, calculus is dependent on arithmetic, that is the ways we add and multiply numbers. For example, in special relativity we add and subtract velocities b...

It is known that a gas composed of a large number of atoms following Newtonian dynamics can be described by the continuum laws of hydrodynamics. Proving this rigorously is one of the outstanding open problems in physics and mathematics. Surprisingly, precise numerical demonstrations of the equivalence of the hydrodynamic and microscopic description...

In silico, cell based approaches for modeling biological morphogenesis are used to test and validate our understanding of the biological and mechanical process that are at work during the growth and the organization of multi-cell tissues. As compared to in vivo experiments, computer based frameworks dedicated to tissue modeling allow us to easily t...

In silico, cell based approaches for modeling biological morphogenesis are used to test and validate our understanding of the biological and mechanical process that are at work during the growth and the organization of multi-cell tissues. As compared to in vivo experiments, computer based frameworks dedicated to tissue modeling allow us to easily t...

A Time Dependent Hartree-Fock (TDHF) based classical model is applied to sub-barrier fusion reactions using the Feynman Path Integral Method (FPIM). The fusion cross-sections and modified astrophysical S*-factors are calculated for the ¹² C+ ¹² C reactions and compared to direct and indirect experimental results. Different channels cross-sections a...

The $N$-body problem is of historical significance because it was the first implementation of the Newtonian dynamical laws for the description of our Solar System. Motivated by this, the project's goal is to revisit this problem for small $N$ and find a solution for the trajectories of specific two-body and three-body configurations as well as the...

Consensus algorithms on networks have received increasing attention in recent years for various applications, ranging from distributed decision making to multivehicle coordination. In particular, second-order consensus models take into account the Newtonian dynamics of interacting physical agents. For this model class, we uncover a mechanism inhibi...

A numerical experiment of ideal stochastic motion of a particle subject to conservative forces and Gaussian noise reveals that the path probability depends exponentially on action. This distribution implies a fundamental principle generalizing the least action principle of the Hamiltonian-Lagrangian mechanics and yields an extended formalism of mec...

The connection between the Cosmological Principle and the Newtonian Dynamics is formulated via Noether Symmetry (NS). [1] formulates the symmetry that connects two different frames with relative acceleration, without an action formulation. Here, this symmetry is derived from a classical particles system that governed by the potential {\phi}. The ac...

In this paper, we adopt the Verlinde hypothesis on the origin of gravity as the consequence of the tendency of systems to increase their entropy and employ the Tsallis statistics. Thereinafter, modifications to the Newtonian second law of motion, its gravity, and radial velocity profile are studied. In addition, and in a classical framework, the co...

Il volo interstellare si attua solo attraverso la propellantless propulsion ovvero cambiando tutti e 3 i principi di Newton e non solo violando il principio di azione e reazione. La PNN violando il III cambia infatti anche la I e II legge della dinamica www.asps.it/pnndatabase.htm Con la PNN non si salva nulla del quadro sperimentale su cui si basa...

Il volo interstellare si attua solo attraverso la propellantless propulsion ovvero cambiando tutti e 3 i principi di Newton e non solo violando il principio di azione e reazione. La PNN violando il III cambia infatti anche la I e II legge della dinamica www.asps.it/pnndatabase.htm Con la PNN non si salva nulla del quadro sperimentale su cui si basa...

A method to construct general null Lagrangians and their exact gauge functions is developed. The functions are used to define classical forces independently from Newtonian dynamics. It is shown that the forces generated by the exact gauge functions allow for the conversion of the first Newton equation into the second one. The presented approach giv...

This paper sketches a recently emerging divide between two interpretations of Hume's methodology and philosophy of science. On the first interpretation Hume relies on an inductive methodology and provides a (Newtonian) dynamic theory of the mind, and his philosophy of science reflects this methodology. On the second, Hume relies on inferences to th...

Timelike geodesics on a hyperplane orthogonal to the symmetry axis of the Gödel spacetime appear to be elliptic-like if standard coordinates naturally adapted to the cylindrical symmetry are used. The orbit can then be suitably described through an eccentricity-semi-latus rectum parametrization, familiar from the Newtonian dynamics of a two-body sy...

Many experiments over the past half century have shown that, for a range of protocols, granular materials compact under pressure and repeated small disturbances. A recent experiment on cyclically sheared spherical grains showed significant compaction via homogeneous crystallization (Rietz et al., 2018). Here we present numerical simulations of fric...

In this article, we applied the generalized Golden (Riemannian) gravitational scalar potential exterior to the body to the well-known Newton's dynamical gravitational equations of motion to obtain generalizations of Newton's dynamical equations of motion. The generalized dynamical gravitational equations of motion are applied to the motion of the p...

In the theory of the "cosmological lattice" presented in this book, the problem of unifying physical theories and the search for a Theory of the Whole is treated in a radically different way from other approaches in the literature. Instead of trying to build a unified theory by tinkering with a collection of existing theories, making them more and...

In the theory of the "cosmological lattice" presented in this book, the problem of unifying physical theories and the search for a Theory of the Whole is treated in a radically different way from other approaches in the literature. Instead of trying to build a unified theory by tinkering with a collection of existing theories, making them more and...

In this brief communication, we summarize an original and new approach of the Universe, which considers that the Universe could be a finite, elastic and massive solid that would move and deform in an infinite absolute vacuum. In this a priori strange concept, it is supposed that the Universe is a lattice of simple cubic crystalline structure, whose...

"The intellect seeking after an integrated theory cannot rest content with the assumption that there exist two distinct fields totally independent of each other by their nature."-A. Einstein, Nobel Lecture, 1923
Abstract. We briefly review the current state of unification efforts between quantum field theory and general relativity theory, particu...

The evolution of a turbulent tangle of quantum vortices in the presence of finite-size active particles is studied by means of numerical simulations of the Gross-Pitaevskii equation. Particles are modeled as potentials depleting the superfluid and described with classical degrees of freedom following a Newtonian dynamics. It is shown that particles...

In the Newtonian limit of general relativity a force acting on a test mass in a central gravitational field is conventionally defined by the attractive Newtonian gravity (inverse square) term plus a small repulsive cosmological force, which is proportional to the slow acceleration of the universe expansion. In this paper we considered the cosmologi...

In this brief communication, we summarize an original and new approach of the Universe, which considers that the Universe could be a finite, elastic and massive solid that would move and deform in an infinite absolute vacuum. In this a priori strange concept, it is supposed that the Universe is a lattice of simple cubic crystalline structure, whose...

We briefly review the current state of unification efforts between quantum field theory and general relativity theory, particularly quantum gravity (QG), and deformed special relativity (DSR) theories. We underscore theoretical and mathematical difficulties in such efforts and propose an alternative route to unity based on our recently proposed inf...

The severity of the two deeply correlated crises, the environmental and the economic ones, needs to be faced also in theoretical terms; thus, the authors propose a model yielding a global “stationary state”, following the idea of a “steady-state economics” by Georgescu-Rogen and Herman Daly, by constructing only one dynamical system of ecological a...

In General Relativity, the gravitational field of a spherically symmetric non-rotating body is described by the Schwarzschild metric. This metric is invariant under time reversal, which implies that the power series expansion of the time dilation contains only even powers of v / c . The weak-field post-Newtonian approximation defines the relativist...

Capturing the interaction between objects that have an extreme difference in Young's modulus or geometrical scale is a highly challenging topic for numerical simulation. One of the fundamental questions is how to build an accurate multiscale method with optimal computational efficiency. In this work, we develop a material‐point‐spheropolygon discre...

In General Relativity, the gravitational field of a spherically symmetric non-rotating body is described by the Schwarzschild metric in Schwarzschild coordinates. This metric is invariant under time reversal, which implies that the power series expansion of the time dilation contains only even powers of v/c. The weak-field post-Newtonian approximat...

A new method is introduced for the simulation of multiple impacts in granular media using the Kuwabara-Kono (KK) contact model, a nonsmooth (not Lipschitz continuous) extension of Hertz contact that accounts for viscoelastic damping. We use the technique of modified equations to construct time-discretizations of the nondissipative Hertz law matchin...

The most cited evidence for (non-baryonic) dark matter has been an apparent lack of visible mass to gravitationally support the observed orbital velocity of matter in rotating disk galaxies, yet measurement of the mass of celestial objects cannot be straightforward, requiring theories derived from the known physical laws along with some empirically...

We present a Relativistic Newtonian Dynamics (RND) for motion of objects in a gravitational field generated by a moving source. As in General Relativity (GR), we assume that objects move by a geodesic with respect to some metric, which is defined by the field. This metric is defined on flat lab spacetime and is derived using only symmetry, the fact...

A Padé approximant scheme for realizing the discrete-time evolution of the state of a many-atom system is introduced. This temporal coarse-graining scheme accounts for the underlying Newtonian physics and avoids the need for construction of spatially coarse-grained variables. Newtonian physics is incorporated through short molecular dynamics simula...

There is a problem with models of galaxies and groups of galaxies-they do not agree with observation. Dark Matter, Dark Energy and modifications to Newtonian dynamics have been hypothesised as explanations for these discrepancies. This paper proposes that the assumption used in modelling stellar dynamic systems, that the gravitational fields acting...

"Relativizing Newton" is a first step towards a simple and beautiful theory of everything. The theory, termed "Information Relativity"(IR) takes a novel approach to physics that overlooks all post-Newtonian physics. It stands on the shoulders of Newtonian dynamics, but modifies it by accounting for the time-travel of information from one reference-...

This paper shortly reviews the links among Aether, Newtonian dynamics, galactic core and plasma double layers. It is hoped that we can sketch an argument for the origin of Tifft's quantized redshift phenomena, a known puzzle for astronomers.

The observed line-of-sight velocity dispersion σ los of the ultra diffuse galaxy Dragonfly 44 (DF44) requires a Newtonian dynamical mass-to-light ratio of M dyn /L I = 26 +7 −6 Solar units. This is well outside the acceptable limits of our stellar population synthesis (SPS) models, which we construct using the integrated galactic initial mass funct...

The observed line-of-sight velocity dispersion $\sigma_{los}$ of the ultra diffuse galaxy Dragonfly 44 (DF44) requires a Newtonian dynamical mass-to-light ratio of $M_{dyn}/L_I=26^{+7}_{-6}$ Solar units. This is well outside the acceptable limits of our stellar population synthesis (SPS) models, which we construct using the integrated galactic init...

In the Newtonian limit of general relativity a force acting on a test mass in a central gravitational field is conventionally defined by the attractive Newtonian gravity (inverse square) term plus a small repulsive correction (cosmological force), which is proportional to the slow acceleration of the universe expansion. In this paper we consider th...

The nature of an instability that controls the transition from static to dynamical friction is studied in the the context of an array of frictional disks that are pressed from above on a substrate. In this case the forces are all explicit and Newtonian dynamics can be employed without any phenomenological assumptions. We show that an oscillatory in...