Thesis: K. Hoffman Advisor: D. Bortoletto Title:The Search for Physics Beyond the Standard Model in the b bbar spectrum observed in Tevatron proton anti-proton Collisions Abstract: Many extension have been proposed to the Standard Model of fundamental particles and interactions, therefore we have conducted a general search with the Colldier Detector at Fermilab (CDF) for particles which would be expected to appear as a resonance in the b bbar mass spectrum produced in proton anti-proton collisions at a center of mass energy of 1.8 TeV at the Fermilab Tevatron collider. We use 87.3 pb-1 of data collected from 1993-1995 during collider Run 1b to reconstruct the b bbar mass spectrum from 150-625 GeV/c**2. The spectrum is found to be in good agreement with simulation of direct b bbar prroduction, and it is therefore used to set limits on the cross section for resonances decaying with a natural width that is narrower than the CDF b bbar mass resolution, which excludes the color octect technirho predicted in walking technicolor theories between 350 and 440 GeV/c**2. in addition we exclude topgluons, predicted in models of topcolor assisted technicolor, of width Gamma=0.3 M in the mass range 280