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Photons and Independent E/m Waves

Michael Tzoumpas

Published Jun 1, 2019• 0 citations
OpenAlex

Abstract

The independent E/M waves are created, during the electron oscillations at an emission antenna. These waves do not compose the constant photon length, in contrast to the fundamental E/M waves of photon. Additionally, the Compton phenomenon is interpreted, while the atomic orbitals are standing waves the self-superposition of the motion wave of electrons.

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The phenomenon of localization manifests itself in many quantum mechanical systems ranging from the localization of light in a random medium via Anderson localization of an electronic wave to the motion of atoms in time-dependent laser fields. In all these cases the underlying classical system is chaotic and shows diffusion as a function of time. In contrast, the quantum mechanical counterpart has a localized wave function whose width is governed by the classical diffusion and Planck’s constant. In this paper we show that there exists an additional quantum parameter that controls the localization length. In the system of a two-level ion stored in a Paul trap and interacting with a standing wave it is the detuning between the transition frequency and the laser field. We also discuss the effect of decoherence in form of spontaneous emission. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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The independent E/M waves are created, during the electron oscillations at an emission antenna. These waves do not compose the constant photon length, in contrast to the fundamental E/M waves of photon. Additionally, the Compton phenomenon is interpreted, while the atomic orbitals are standing waves the self-superposition of the motion wave of electrons.
The quantum theory of radiation, formulated in wave-mechanical language but in terms of running waves, is shown to lead under suitable conditions to the classical theory of emission by a particle as a first approximation. Non-relativistic mechanics is used, and the limitations of the method are brought out in terms of classical theory. The characteristic quantum phenomenon of the Compton effect requires that the Compton recoil shall exceed the spread in momentum of the particle, and so that the wave-packet shall greatly exceed in diameter the wave-length of the incident radiation; this condition is realizable on any scale of magnitude. For quasi-classical motion just the reverse is required; furthermore, if the motion is to last for a number of waveperiods, the wave-length must greatly exceed hmc\frac{h}{\mathrm{mc}}mch​ (m=massoftheparticlem=\mathrm{mass}\mathrm{of}\mathrm{the}\mathrm{particle}m=massoftheparticle). The classical packet-motion arises from combinations between quantum-states of the particle-field system; this fact suggests that the photon is not a fundamental constituent of the field but only one possible aspect of its action. The infinite "zero-energy" associated apparently even with the lowest energy-state of the field implies no electromagnetic field intensities at any point. Whereas for problems on energy or momentum it is customary to represent an incident wave-train by a single typical quantum state, to obtain motional phenomena of classical type a more complete expression such as that given in the paper must be used. The physically empty field likewise corresponds to a mixture of quantum states but without correlation among their amplitudes.
This manuscript explores the fundamental mechanisms of electron positioning through an integrated framework of atomic structure, wave mechanics, and optical physics. Rejecting rigid classical planetary trajectories, the work models electron orbitals as three-dimensional standing waveforms regulated by constructive interference and quantized nodes. It details how discrete changes in electron positions dictate photon absorption, emission, and macro-scale chemical bonding. Serving as a conceptual baseline, this text establishes the foundational structural pillars for an upcoming, broader unified theory of material and optical behaviors.
Three foundational phenomena of quantum mechanics are unied under two complementary concepts derived from the brane-bulk framework. (1) Electron orbital shapes arise from eigenvalue interference: the self-interference of the spin waveform as the electron wraps around a nucleus, generating the characteristic nodal patterns of s, p, d, f orbitals as standing waves of the angular harmonic modes (Paper VIII). (2) Compton scattering is mode transfer: a photon (radial wave mode, Paper VI) collides with an electron (angular wave mode, Paper VIII), transferring momentum between modes. The Compton wavelength λ_C = ℏ/m_e c is the spatial period of the electron spin-1/2 oscillation the length over which one full spin cycle occurs. (3) The photoelectric eect is threshold resonance: a photon must have energy E = hν ≥ϕ (work function) to excite the electron from its standing wave eigenstate into a free propagating mode. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.
This paper, under the core framework of Boundary Interface Theory (BIT), takes the intrinsic property of electrons as standing waves on the spacetime membrane and the quantized orbital constraints induced by proton membrane pressure as the theoretical basis, to conduct an in-depth and systematic study on the physical mechanism and mathematical expression of electron transition, a core dynamic phenomenon of micro quantum systems. Different from traditional quantum mechanics theories that only describe electron transition from the perspective of quantum state superposition and fail to link it with the intrinsic spacetime geometric nature, this study defines electron transition as the modal reconstruction and dynamic evolution of discrete steady-state standing wave eigenmodes on the spacetime membrane, and completes the quantitative derivation and qualitative analysis of electron transition through the phase matching of standing wave superposition, the law of energy conservation and the constraints of geometric potential wells. It further reveals the geometric dynamic origins of the non-intermediate state characteristic and proton membrane-pressure orbital constraint of electron transition: the non-intermediate state is due to the fact that the spacetime geometric potential well formed by proton membrane pressure only supports discrete steady-state standing wave eigenmodes satisfying the phase matching condition, and non-eigenmode standing waves cannot stably exist due to rapid interference cancellation; the orbital constraint results from the fact that electron transition is only the coherent superposition of standing wave eigenmodes within the proton membrane-pressure orbit, and the superposed wave function always satisfies the geometric constraints and boundary conditions of proton membrane pressure with no mathematical possibility of out-of-orbital transition. In addition, the paper derives the quantitative expression of the electron transition energy difference composed of basic physical constants and the characteristic physical quantities of protons and electrons, without introducing any new adjustable parameters or experimental inputs. The derivation is highly self-consistent with the previous research conclusions of Boundary Interface Theory, and is consistent with the experimental observational facts of micro quantum mechanics such as the discreteness of atomic spectra and the shell transition rules of atoms. This research realizes the theoretical closed loop of Boundary Interface Theory from the "intrinsic static existence" of electrons to the "dynamic transition laws", reduces quantum transition phenomena to the geometric dynamic effects of the spacetime membrane, and provides a brand-new theoretical path for exploring the classical geometric origin of quantum phenomena. Finally, the paper prospects the future research directions of Boundary Interface Theory, including extending the research to multi-electron atomic systems, constructing an electron-photon interaction model based on spacetime membrane dynamics, exploring the electron transition characteristics of molecular systems, and studying the spacetime membrane origin of quantum entanglement, which points out the way for the further expansion of the theory and the in-depth integration of quantum mechanics and general relativity.
The phenomenon of localization manifests itself in many quantum mechanical systems ranging from the localization of light in a random medium via Anderson localization of an electronic wave to the motion of atoms in time-dependent laser fields. In all these cases the underlying classical system is chaotic and shows diffusion as a function of time. In contrast, the quantum mechanical counterpart has a localized wave function whose width is governed by the classical diffusion and Planck’s constant. In this paper we show that there exists an additional quantum parameter that controls the localization length. In the system of a two-level ion stored in a Paul trap and interacting with a standing wave it is the detuning between the transition frequency and the laser field. We also discuss the effect of decoherence in form of spontaneous emission. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.