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Wai Bong Yeung

Publications and source records attributed to Wai Bong Yeung.

8 recordsLinked to original sources
arXiv2026

Gravity with a Non-Dynamical Metric in a Yang-Mills Framework

General relativity assigns the spacetime metric two logically distinct roles: it defines physical measurements and it carries the propagating degrees of freedom of gravity. We investigate whether these roles must be assigned to the same field. We formulate a classical Yang-Mills framework in which the metric retains its operational role in defining distances, time intervals, causal structure, index contractions, and spacetime volume, but carries no kinetic term and no independent propagating degrees of freedom. The metric is nevertheless varied as an auxiliary field, producing an algebraic consistency condition rather than a propagation equation. The gravity dynamics are instead assigned to a local GL(4,R) Yang--Mills connection with sixteen gauge components. An explicit dictionary relates the Yang-Mills gauge potential to a connection-like geometric variable, under which the field strength is rewritten in curvature form. The distinctive feature of the construction is therefore not the use of GL(4,R) or a Yang-Mills-type gravitational action by themselves, but the variational hierarchy in which a physical measuring metric is non-propagating and algebraically constrained while the connection carries the dynamics. We clarify the relation of this framework to Poincaré gauge theory, metric-affine and Palatini formulations, pure-connection gravity, teleparallel approaches, metric quadratic gravity, and the historical Stephenson-Kilmister-Yang/Fairchild sector. In the restricted torsionless, metric-compatible sector, Ricci-flat geometries including the Schwarzschild metric remain admissible exact solutions, while additional branches are retained only as formal sectors requiring separate phenomenological assessment.

physics.gen-ph↗
arXiv2026

A Yang-Mills Type Gauge Theory of Gravity and the Dark Matter Problem

A Yang-Mills type gauge theory of gravity is shown to have a structure richer than that of Einstein's General Theory of Relativity. By elevating the full connections to independent dynamical gauge fields, the theory admits non-trivial vacuum configurations driven by gauge field self-interactions. We demonstrate that this non-linear geometric structure naturally yields an effective spacetime that explains the form of the galactic rotation curves and the anomalous amount of intergalactic gravitational lensing, completely circumventing the need for exotic dark matter particles.

physics.gen-ph↗
arXiv2026

Cosmological Evolution in the $GL(4,\mathbb{R})$ Yang-Mills Theory of Gravity: Resolving the JWST Early Galaxy Crisis and Late-Time Acceleration

We investigate the cosmological implications of the $GL(4,\mathbb{R})$ Yang-Mills gauge theory of gravity. A long-standing theoretical challenge in standard cosmology is the reliance on ad hoc rolling scalar fields (e.g., the inflaton or quintessence) to drive early-time inflation and late-time acceleration, despite their unknown particle physics origins. In this work, by treating the affine connection as a gauge field and the world metric as a non-dynamical background, we derive an exact expansion history that strictly eliminates the need for any rolling scalar fields or a cosmological constant. The dynamics are governed solely by the Yang-Mills field strength squared. We demonstrate that the early Universe exhibits a singularity-free coasting expansion $a(t) \propto t$, resolving the JWST high-redshift galaxy crisis by granting significantly more time for early structure formation. As radiation dilutes, the Universe naturally transitions into a Weitzenböck vacuum state, where a residual, topologically non-trivial constant torsion locks the spacetime kinematics to drive a late-time exponential acceleration $a(t) \propto \exp(ξt)$. This framework establishes a purely geometric and gauge-theoretic origin for the cosmological evolution.

physics.gen-ph↗
arXiv2013

A New Approach to the Yang-Mills Gauge Theory of Gravity and its Applications

We shall give dynamics to our spacetime manifold by first identifying the local affine symmetry as the characterizing symmetry for our geometry a'la Felix Klein, this symmetry is imposed on us by the Law of Inertia and the Law of Causality. We then prescribe 16 gauge vector bosons to this symmetry a'la Yang and Mills. The locally affine symmetric Yang-Mills Lagrangian in the presence of a background world metric, and the corresponding equations of motion, are respectively constructed and derived. Spontaneous breaking of the local affine symmetry to the local Lorentz symmetry is achieved by classical solutions to the equations of motion. In these classical solutions, the 16 gauge vector bosons are shown to select the Schwarzschild metric as one among the admissible background world metrics. Classical gravity is thus be expressed by a spontaneously broken Erlangen program. We shall also show that this Yang-Mills gauge theory of gravity can give an explanation of the form of the galactic rotation curves, of the amount of intergalactic gravitational lensing, and of the accelerating expansion of the Universe.

physics.gen-ph↗
arXiv2012

Quadratic Gravitational Lagrangian with Torsion Can Give Possible Explanations of the Form of Galactic Rotation Curves, of the Amount of Intergalactic Lensings, and of the Accelerating Expansion of the Universe

The Quadratic Gravitational Lagrangian with torsion provides us with a richer number of solutions than the Einstein-Hilbert Lagrangian does. With proper interpretation, these solutions, together, seem to give good explanations of the form of the galactic rotation curves, of the amount of intergalactic gravitational lensings, and of the accelerating expansion of the Universe. The existence of Particle Families can also arise from the existence of these various microscopic metrics endowed to the respective particles

physics.gen-ph↗
arXiv1999

The Schrodinger Equation From a Quadratic Hamiltonian System

We regard the real and imaginary parts of the Schrodinger wave function as canonical conjugate variables.With this pair of conjugate variables and some other 2n pairs, we construct a quadratic Hamiltonian density. We then show that the Schrodinger Equation follows from the Hamilton's Equation of motion when the Planck frequency is much larger than the characteristic frequencies of the Hamiltonian system. The Hamiltonian and the normal mode solutions coincide, respectively, with the energy expectation value and the energy eigenstates of the corresponding quantum mechanical system.

quant-ph↗