Sheldon runs away on the train at the end of 7.24, what could have happened next?

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Two years later.

Raj and Amy mutually discovered one day that they loved each other more than just as friends. Their pseudo-couple relationship lost the pseudo and they moved in together.

Meanwhile in the world of Physics more brilliant papers appeared from the mysterious Tucker Lee, both Barry Kripke and Leslie Winkle acted as peer reviewers for some of these papers. All requests for Tucker Lee to give talks on this new Physics at conferences and universities were not answered. Barry and Leslie organised a one day symposium at Caltech for the rest of Physics community to discuss the work of Tucker Lee.

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In Kansas Sheldon sold Comic Books during the day and did his Physics by night. He would occasionally go out for meals with Tex and Sara when Sara's sister Rebecca came to visit, but otherwise he would keep to himself. Experimental physicists at CERN had done some work to investigate the predictions of Tucker Lee's theoretical work and found that the theory was making some good predictions of the real physical world. There was talk in the Physics world of a future Nobel Prize for the CERN physicists and the mysterious Tucker Lee!