arXiv subjects

B. T. T. Wong

Publications and source records attributed to B. T. T. Wong.

10 recordsLinked to original sources

arXiv2023

On the Particle and Field nature of $γ^μ$ matrices in the Dirac Equation and the Nature's intrinsic fifth force

The Dirac equation is a cornerstone of modern particle physics, which integrates special relativity and quantum mechanics into a consistent framework, yielding the prediction of electron and its antiparticle counterpart, positron. The Dirac equation also lays the foundation of quantum electrodynamics, such that QED phenomenon is supported by fundamental Dirac Algebras calculation. In this article, we will introduce new perspectives of the $γ^μ$ matrix in the Dirac Algebra, by realizing the $γ^μ$ matrices are actual formal quantum fields, the excitation of $γ^μ$ fields correspond to a new particle with both boson and fermion nature. Thus, we show that $γ^μ$ is a particle in nature, and can be referred as the nature's intrinsic fifth force. The $γ^μ$ field also serves as the boson-fermion connector in QED interaction.

physics.gen-ph↗

arXiv2023

Generalized Standard Model with higher-order derivatives under Rotor Mechanism and its Quantization

The Standard Model is the paradigm of particle physics which gives an accurate theory for fundamental particle interactions. However, the extension of Standard Model with higher-order derivatives is not a well-studied subject. This paper is a follow-up work of the previous study of the generalized Abelian gauge field theory and Yang-Mills theory under rotor mechanism of order $n$ of higher order derivatives, and we apply it to the Standard Model of particle physics. Rotor mechanism on scalar field and Dirac field is also studied. We will study the quantization of the rotored Standard Model using path integral approach. We also inherit the previous result from the path integral quantization of generalized Abelian gauge field and apply it to our non-Abelian case. Then we carry out the generalized BRST quantization and prove the existence of the Slavnov-Taylor Identities of the rotor model. Finally, we discuss the possibility of rotor model on taming the infinities arise from the self-energy correction of the Higgs boson in high spacetime dimension, thus this provides a partial solution and new insights to the Hierarchy problem.

physics.gen-ph↗

arXiv2023

The Theory of Fundamental Duality, Quantum Dualiton and Topological Dual Invariance

Fundamental duality is a concept which refers to two irreducible, heterogeneous principles which are in opposite and complementary of each other. The complementary principle in quantum mechanics is also praised by Bohr. This important concept is known to appear in a lot of places in our physical universe, however a rigorous mathematical definition and physics theory has not yet ever developed in a formal way. In this paper, we establish a formalism for fundamental duality and study its various properties and theorems. One of the most profound results is that we establish a relation between dual invariance and topological invariance, and we find that the topological Chern-Simons form is a dual invariant action. Finally we apply the concept of duality to study dual state oscillation, and predict a theoretical new matter of state of dualiton, which is the particle excitation of the dual field by second quantization. This new exotic quasi-particle state is expected to have an impact in particle physics and condensed matter physics.

physics.gen-ph↗

arXiv2022

The study of conformal geometry and its exact solution of the geodesic deviation equation

In this paper, the geometric properties of the conformal metric are studied and its exact solution of the geodesic deviation equation is presented. We also find out the stress-energy tensor of this geometry and compare it with the usual prefect-fluid case, obtaining an equation of state as $P = -\frac{1}{3}ρ$ in 4D space-time dimension. Finally, the low-energy regime of the metric is studied, in which we obtain the stress-energy tensor proportional to the projection tensor.

physics.gen-ph↗

arXiv2022

Generalized Yang-Mills Theory under Rotor Mechanism

This paper follows the previous work on generalized abelian gauge field theory of higher-order derivatives under rotor model and extends the study to the most generalized non-abelian case. We find that the rotor mechanism from the abelian case applies nicely to the non-abelian case under the Lorentz gauge condition. Under the rotor mechanism, the gauge field transforms as $T_μ^a \rightarrow \Box^n T_μ^a$. When the order of field derivative is $n=0$, this restores back to the original Yang-Mills action. Our work gives an extensive generalization of the Yang-Mills theory with higher-order field derivatives. We also compute the equation of motion and Noether's current of the generalized non-abelian gauge field theory. Finally, we study the dynamic instability issue of the theory by the Ostrogradsky construction and the analysis of the 00-component of the energy-momentum tensor.

physics.gen-ph↗

arXiv2022

The complete metric study of effective Dirac algebra

Following our work from the previous paper about the study of effective Dirac algebra and the metric of the simple, special case of relativistic hydrogen atom, this paper gives the complete metric study defined by the effective Dirac algebra in the Dirac and Weyl presentation, showing that relativistic electromagnetic interaction gives the correction of the flat background metric $η_{μν}$, thus curving spacetime. The curved metric can be nicely broken down into two parts, the pure correction on the flat spacetime metric and the projection tensor. We find that the curved metric is independent of the representation chosen.

physics.gen-ph↗

arXiv2022

The effective Dirac algebra by gauge field interaction in relativistic electrodynamics

Conventional relativistic electrodynamics is set on flat Minkowski spacetime, where all computable quantities are calculated from the flat metric $η_{μν}$. We can redefine the metric of spacetime from the Dirac algebra. In this paper, we study how an electrodynamic interaction can alter the normal gamma matrix to an effective one and result in a shift in the metric perturbatively. The curvature properties inferred from the curved metric are also investigated. We also study how the spin operator is changed under the interaction that contribute to an effective spin operator and how the spin of an electron will be slightly deviated from $1/2$. Then we perform canonical quantization of the effective Dirac algebra. Finally we apply our results to the relativistic hydrogen case and demonstrate how such system curves the spacetime metric.

physics.gen-ph↗

arXiv2021

Quantization of Generalized Abelian Gauge Field Theory under Rotor Model

This paper is a follow-up work of the previous study of the generalized abelian gauge field theory under rotor model of order $n$ of higher order derivatives. We will study the quantization of this theory using path integral approach and find out the Feynman propagator (2-point correlation function) of this generalized theory. We also investigate the generalized Proca action under rotor model and derive the Feynman propagator for the massive case.

physics.gen-ph↗

arXiv2021

Generalized Abelian Gauge Field Theory under Rotor Model

Gauge field theory with rank-one field $T_μ$ is a quantum field theory that describes the interaction of elementary spin-1 particles, of which being massless to preserve gauge symmetry. In this paper, we give a generalized, extended study of abelian gauge field theory under successive rotor model in general $D$-dimensional flat spacetime for spin-1 particles in the context of higher order derivatives. We establish a theorem that $n$ rotor contributes to the $\Box^n T^μ$ fields in the integration-by-parts formalism of the action. This corresponds to the transformation of gauge field $T^μ \rightarrow \Box^n T^μ$ and gauge field strength $G_{μν}\rightarrow \Box^n G_{μν} $ in the action. The $n=0$ case restores back to the standard abelian gauge field theory. The equation of motion and Noether's conserved current of the theory are also studied.

physics.gen-ph↗

arXiv2017

An XMM-Newton Study of the Mixed-Morphology Supernova Remnant G346.6-0.2

We present an X-ray imaging and spectroscopic study of the molecular cloud interacting mixed-morphology (MM) supernova remnant (SNR) G346.6-0.2 using XMM-Newton. The X-ray spectrum of the remnant is well described by a recombining plasma that most likely arises from adiabatic cooling, and has sub-solar abundances of Mg, Si, and S. Our fits also suggest the presence of either an additional power-law component with a photon index of $\sim$2, or an additional thermal component with a temperature of $\sim$2.0 keV. We investigate the possible origin of this component and suggest that it could arise from either the Galactic ridge X-ray emission, an unidentified pulsar wind nebula or X-ray synchrotron emission from high-energy particles accelerated at the shock. However, deeper, high resolution observations of this object are needed to shed light on the presence and origin of this feature. Based on its morphology, its Galactic latitude, the density of the surrounding environment and its association with a dense molecular cloud, G346.6-0.2 most likely arises from a massive progenitor that underwent core-collapse.

astro-ph.HE↗