Modern Research in Dentistry Bio-Synergetic Ron Carlson* Carlson Bridge Technologies, USA *Corresponding author: Carlson, Inc. Pvt Ltd, Hawaiia, Submission: June 09, 2022;Published: 22, 2022 DOI: 10.31031/MRD.2022.07.000662 ISSN:2637-7764Volume7 Issue2

Lorentz-invariant non-commutative QED (NCQED) is constructed such that it should be a part of Lorentz-invariant non-commutative standard model (NCSM), a subject to be treated in later publications. Our NCSM is based on Connes’ observation that the total fermion field in the standard model may be regarded as a bi-module over a flavorcolor algebra. In this paper, it is shown that there exist two ...

D. Dias Carlson, and Murphy. Drafting of the manuscript: G. D. Dias Carlson. Critical revision of the manuscript for important intellectual content: J. A. Carlson, Murphy, and Rohwedder. Statistical analysis: J. A. Carlson and G. D. Dias Carlson. Obtained funding: J. A. Carlson. Administrative, technical, and material support: J. A. Carlson and Murphy. Study supervision: J. A. Carlson. Financia...

1.1. Background. This paper deals with the landmark results of Benson and Carlson's Projective resolutions and Poincar e duality complexes [6]. Our goal is to provide some necessary background for that work, and to prove some of the results of [6] in a more general setting. In particular, we analyze what happens when we replace Benson and Carlson's complex C (in the notation of [6]) with an arb...