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Journal of Research in Vocational Education

A Newtonian Ontological Model Resolving Wave-Particle Duality

Amit Bajpai

Published Jun 30, 2025• 0 citations
Publisher

Abstract

Augmented Newtonian Dynamics (AND) is a modified framework for understanding the behavior of particles within classical mechanics, extending traditional Newtonian dynamics by incorporating interactions that arise from the quantum vacuum. In this theory, the vacuum is not an empty void but a dynamic medium that influences particle motion through transient fluctuations. These fluctuations, although imperceptible at macroscopic scales, result in brief yet significant interactions that modify the trajectories and stability of particles. At the core of AND is the idea that particles, while orbiting the nucleus, continuously engage in short-lived, localized interactions with the vacuum. These interactions exert forces on the particles that are strong enough to influence their motion yet occur over such brief time scales that they do not violate macroscopic conservation laws of energy and momentum. This subtle yet persistent interaction with the vacuum provides a stabilizing effect on the motion of particles, preventing phenomena such as the collapse of orbital systems or rapid energy dissipation, which would otherwise be expected in classical mechanics. By integrating these vacuum-based forces into the classical framework, Augmented Newtonian Dynamics offers a new perspective on particle motion, one that accounts for stability in systems where classical mechanics would traditionally predict instability. The theory posits that these interactions, while small in their instantaneous effects, accumulate over time to produce stable, self-correcting dynamics for particles in various systems, leading to observable phenomena that diverge from traditional Newtonian predictions without invoking additional classical forces.

DOI
10.53469/jrve.2025.7(06).10

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Augmented Newtonian Dynamics (AND) is a modified framework for understanding the behavior of particles within classical mechanics, extending traditional Newtonian dynamics by incorporating interactions that arise from the quantum vacuum. In this theory, the vacuum is not an empty void but a dynamic medium that influences particle motion through transient fluctuations. These fluctuations, although imperceptible at macroscopic scales, result in brief yet significant interactions that modify the trajectories and stability of particles. At the core of AND is the idea that particles, while orbiting the nucleus, continuously engage in short-lived, localized interactions with the vacuum. These interactions exert forces on the particles that are strong enough to influence their motion yet occur over such brief time scales that they do not violate macroscopic conservation laws of energy and momentum. This subtle yet persistent interaction with the vacuum provides a stabilizing effect on the motion of particles, preventing phenomena such as the collapse of orbital systems or rapid energy dissipation, which would otherwise be expected in classical mechanics. By integrating these vacuum-based forces into the classical framework, Augmented Newtonian Dynamics offers a new perspective on particle motion, one that accounts for stability in systems where classical mechanics would traditionally predict instability. The theory posits that these interactions, while small in their instantaneous effects, accumulate over time to produce stable, self-correcting dynamics for particles in various systems, leading to observable phenomena that diverge from traditional Newtonian predictions without invoking additional classical forces.
This paper presents a novel model of the electron according to Augmented Newtonian Dynamics, extending Newtonian dynamics into the sub-atomic level. The paper challenges the conventional understanding of quantum mechanics, particularly the wave-particle duality and the resulting wave-function paradigm. It begins by critiquing the historical adoption of duality to resolve issues like the radiative instability of electrons in atomic orbits, as highlighted by the Larmor formula. The author contends that while duality helped stabilize atomic models, experimental evidence—such as the Lamb shift—indicates that the electron can be more accurately described without invoking wave-particle duality. The proposed model describes the electron as a stable, solid particle that regulates its energy around the nucleus by continually emitting and absorbing virtual photons and in this way self- regulating its energy and preventing it from falling into the nucleus through a dissipation of its energy through radiation. The paper introduces the concept of zero energy in a nuanced and regulated manner showing that it occupies the whole of the Universe. This network, termed the virtual photon field or dark matter (aether), permeates all of space and plays a fundamental role in electromagnetic radiation and gravity.
This paper proposes a new theoretical framework, within Augmented Newtonian Dynamics (AND), for describing atomic structure and spectral emission without invoking quantum jumps or probabilistic transitions. According to AND theory, atoms consist of well-defined shells and orbitals determined by energy balance between the nucleus and electrons. Stable orbitals do not emit or absorb radiation. Electrons in stable orbitals do however undergo continuous self-interactions via virtual photons to ensure orbital stability, they do not emit or absorb real photons. Only atoms with unpaired (odd) electrons exhibit photon emission or absorption, which occurs deterministically in accordance with precise energy matching. Recoil of the electron off the nucleus and strict conservation of energy and momentum ensure that photon absorption and re-emission obey directional laws analogous to optics. The theory is presented as a response to the inadequacies of spontaneous emission theory in the face of ultra-high-precision technologies such as optical atomic clocks and GHz-range quantum processors.
This paper is part of a series exploring the interaction of light with matter across a wide range of physical forms. It proposes a unified, classically grounded alternative to modern quantum theory, known as Augmented Newtonian Dynamics (AND) Theory. While the Standard Model and Quantum Electrodynamics (QED) rely heavily on abstract constructs-such as wavefunctions, virtual particles, and uncertainty-AND Theory seeks to restore physical clarity through a continuous, deterministic framework rooted in observable mechanisms. In AND Theory, electrons are treated as real, self-regulating entities that emit and absorb photons to maintain energy equilibrium. These interactions take place within a structured field of virtual photons-identified with dark matter-which serves as the universal medium for electromagnetic and gravitational processes. Rather than invoking virtual particles as ad hoc solutions, AND Theory integrates them into a coherent picture of energy exchange that never departs from empirical logic or classical principles. This paper applies the AND framework to a comparative analysis of how heat and radiation interact with different classes of matter, including metals, insulators, and organic materials. The result is a compelling alternative to the prevailing quantum paradigm-one that offers simplicity, consistency, and a return to physically intelligible science.
This work presents a unified, physically grounded reinterpretation of light?matter interaction phenomena-absorption, emission, reflection, transmission, and extinction-through the framework of Augmented Newtonian Dynamics (AND). Departing from probabilistic and field-based quantum descriptions, AND theory proposes that photons are real, discrete entities interacting with electrons in matter via time-bound, mechanically governed processes. Electrons do not permanently absorb photons; rather, they engage in a rapid cycle of absorption followed by recoil and elastic re-emission, maintaining energy continuity and directional coherence. This mechanism accounts for the colour of objects, the transmission of light through transparent media, and its extinction in opaque substances where elastic passage is not feasible. Reflection is interpreted in keeping with classical laws, as the result of electron recoil occurring at specific angles, conserving momentum and preserving the incoming photon?s energy and frequency. Emission is not spontaneous or random but arises from well-defined energy exchanges, with recoil effects that obey Newtonian action?reaction principles. Finally, extinction is treated not as a loss of the photon per se, but as a redistribution of its energy into thermal motion via inelastic encounters. By aligning with core classical principles-conservation of energy, momentum, and quantized photon energy (E = h?)-this approach offers a consistent and intuitively accessible model of light behavior, eliminating the need for metaphysical constructs and reinforcing the explanatory power of classical physics extended by virtual photon dynamics.
Traditionally, Newtonian mechanics is recognized as an approximate theory which is said to arise from quantum mechanics (apparently a more detailed theory) in the large energy level limit (correspondence principle). We argue that both quantum mechanics and Newtonian mechanics are both approximate and both complement each other at any energy level. In the Newtonian case, quantum effects are so small that they are not visible, but in the quantum case, Newtonian effects are visible, we argue. We first note that exp(-iEt+ipx), the free particle wavefunction (complex probability) does not exist without the Newtonian expression x=vt. x=vt implies it is possible for dx->0, dt->0, while hbar/p and hbar/E show that there are limitations with respect to interactions. The only way to ascertain x=vt is through measurement and if these measurements have dt=hbar/E and dx=hbar/p uncertainties, one cannot have dx->0, dt->0 resolution. Nevertheless, the quantum free particle does move as x=vt (as long as one respects the uncertainties of dt,dx).The quantum exp(-iEt+ipx) does not exist without the Newtonian x=vt. In a single particle quantum bound state (time-independent), we suggest there are significant approximations. First, a conservation of energy equation exists in Newtonian physics, namely pp/2m + V(x) = E ((1)). This equation does not contain time and does not explicitly show x(t), but that does not mean that such motion does not physically exist. The quantum bound state solution follows from ((1)) which is an equation which does not display full information, even in the classical case, and so this loss of information carries down to the quantum solution. In particular, in the quantum case one solves a time-independent problem and so uses a(p)exp(ipx) + a(-p)exp(-ipx) with a(p)=a(-p) or a(p)= -a(-p). These conditions are equivalent to insisting that the local momentum average at each x (-i W* grad W + i W grad W) is 0. The fact that one is solving a quantum bound state using only energy considerations means that one averages out time which means averaging momentum. Thus, W*(x)W(x) describes a resolution spatial pattern for interaction, but W = W(x) exp(-iEt+ip x) where p=0 at each x. In other words, just because one does not see forward/backward motion in a particular quantum solution (based on energy alone) does not mean that it does not exist and that it cannot be measured, we suggest. For high energy levels, one should be able to measure such motion. The factor exp(-iEt+ipx) is a further approximation of the bound state which may be used if one wishes to describe a particle of mo in a potential V(x) created by a particle of mass M as an M+m+E rest mass system. Thus, one may see that various levels of approximation are used in the same quantum bound state solution. Furthermore, classical and Newtonian mechanics are still linked at any energy level because the quantum average KE (in the nonrelativistic case) must equal the classical kinetic energy. Thus, the notion of x= vrms(x) t is present and if hbar/(m vrms) << dx (where dx <<L with L being the system size), then one again has exp(-ipx+i KE t) and x=vrms(x) within each tiny dx, as an approximation.
Newtonian Mechanics, theory of Elasticity and Fluid Dynamics, together with Maxwellian Newtonian Mechanics, theory of Elasticity and Fluid Dynamics, together with Maxwellian Electrodynamics are basically what constitute Classical Physics. Classical Physics was developed and successfully applied to describe the motions of macroscopic bodies like planetary systems and other every day phenomena. It also described electromagnetic field and its interaction with matter. The development of classical physics was almost complete by the early twentieth century. With the discovery of subatomic particles, radioactivity and X-rays and also the accumulation of data on the spectrum of Black Body Radiation and other spectroscopic studies, it became imperative to invoke new concepts and ideas. Thus Quantum Mechanics, the fundamental theory of the physical world was formulated.