The Yang Mills Field, I: Existence

Quantum Yang-Mills fields are constructed. The Fermion sign problem is addressed through the theory of homology groups and thimbles. The sign problem for residual states not reached by the homology groups and thimbles is resolved by a perturbative expansion which is shown to be convergent to all finite orders. The Fermion doubling problem is avoided through consideration of vacuum expectation values, where it does not exist. The proofs depend on an assumed principle of a maximum rate of entropy production. Two Yang-Mills gauge field theories are constructed, one based on short distance asymptotics and the other based on long distance asymptotics

Final Doctoral Recital

Trumpet, Vladimir Peskin, Franz Schubert, Eugene Bozza, Guy Ropartz, J. B. Arban, Errol Garner. Please see Additional Documents for Recital Program

Final Doctoral Recital

Tuba, Gail Robertson, Perry Goldstein, Stephen Shewan, Carle Wirshba, Jasmine Pigott, Stephen Melillo, Please see Additional Documents for Recital Program

Final Doctoral Recital

Voice, Richard Strauss, Olivier Messiaen.Please see Additional Documents for Recital Program

Final Doctoral Recital

Guitar, Heitor Villa-Lobos, Gentil Montaña, Agustin Barrios, Leo Brouwer, Astor Piazzolla, Romulo Viana

The Pure Yang-Mills Field: I: Fixed Time Existence

The convergence of renormalized perturbation theory to all finite orders is defined and shown to be valid for the fixed time perturbation theory of a pure Yang-Mills field. Two pure Yang-Mills quantum gauge field theories are constructed, one based on short distance asymptotics and the other based on long distance asymptotics. The construction depends on an assumed principle of a maximum rate of entropy production

Food and Housing Insecurities Among Undergraduate Students: A Case Study Examining Academic and Social Integration

This single holistic case study examined how food and housing insecurities impacted the academic and social integration of five undergraduate students at a public regional university. Using Tinto\u27s (1993) student integration theory as a framework, data were collected through semi-structured interviews, food and housing logs, and archival event records. Findings revealed that food and housing insecurities created significant barriers to academic success through stress, concentration difficulties, and class attendance challenges. Socially, students remained engaged through campus events offering free food, but avoided social activities requiring financial expenditure. Some academic departments provided food pantries, though access remained limited. Implications for practice include expanding basic needs resources and reducing stigma around help-seeking behaviors

Mathematicly Rigorous Quantum General Relativity, I: Pure

A pure general relativity (quantum or classical) is one lacking in matter. Such a field has a Lorentzian space time geometry. A renormalization perturbative expansion, truncated to all finite orders, establishes both the quantum and the general relativity theory with full mathematical rigor

Final Doctoral Recital

Harpsichord, Bernardo Storace, J. S. Bach, Johann Froberger, Louis Couperin, Alessandro Scarlatti. Please see Additional Documents for Recital Program

Final Doctoral Recital

Trumpet, Grace Williams, Ida Gotkovsky, Liu Zhuang, Sofia Gubaidulina, Regina Baiocchi. Please see Additional Documents for Recital Program