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Full-Text Articles in Physics
Time And Dark Matter From The Conformal Symmetries Of Euclidean Space, Jeffrey S. Hazboun, James Thomas Wheeler
Time And Dark Matter From The Conformal Symmetries Of Euclidean Space, Jeffrey S. Hazboun, James Thomas Wheeler
All Physics Faculty Publications
The quotient of the conformal group of Euclidean 4-space by its Weyl subgroup results in a geometry possessing many of the properties of relativistic phase space, including both a natural symplectic form and non-degenerate Killing metric. We show that the general solution posesses orthogonal Lagrangian submanifolds, with the induced metric and the spin connection on the submanifolds necessarily Lorentzian, despite the Euclidean starting pont. By examining the structure equations of the biconformal space in an orthonormal frame adapted to its phase space properties, we also find that two new tensor fields exist in this geometry, not present in Riemannian geometry. …
18 The Electromagnetic Wave Equation, Charles G. Torre
18 The Electromagnetic Wave Equation, Charles G. Torre
Foundations of Wave Phenomena
Let us now see how the Maxwell equations (17.2)–(17.5) predict the existence of electromagnetic waves. For simplicity we will consider a region of space and time in which there are no sources (i.e., we consider the propagation of electromagnetic waves in vacuum). Thus we set p = 0 = j in our space-time region of interest. Now all the Maxwell equations are linear, homogeneous.
Conformal Gravity And Time, Jeffrey Shafiq Hazboun
Conformal Gravity And Time, Jeffrey Shafiq Hazboun
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
Within the last year, two acclaimed physics experiments have probed further into the extremes of our physical understanding. The Large Hadron Collider, the largest experiment ever constructed, has detected a Higgs boson, which establishes a mass scale for the fundamental particles. The Planck mission satellite has made the most accurate measurements of the cosmic microwave background radiation, which is the oldest data about the early universe we are currently able to measure directly. The mission corroborated the proportions of dark matter and dark energy are all very close to expected values. While these experiments have helped solidify the current working …