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In elementary particle theory, professor Susskind encourages us to think of space-time as divided into a lattice of cells. We use annihilation and creation operators in the Lagrangian to consume a particle in a cell and to create a new particle in an adjacent cell. Repeated application of Lagrangians cause particles to move. The final step is to take the limit as lattice size approaches zero.
I imagine a delta A-B, where A is the limit as lattice size approaches zero, and B is the limit as lattice size approaches the Plank length. Is such a delta meaningful? If so, does the value of that delta reveal anything about the underlying quantization of space-time?
By the way, it thrills me that there exists a forum such as this where one can post such questions and get illuminating answers. Thank you all for being so generous with your time to assist amateurs struggling to understand.
I imagine a delta A-B, where A is the limit as lattice size approaches zero, and B is the limit as lattice size approaches the Plank length. Is such a delta meaningful? If so, does the value of that delta reveal anything about the underlying quantization of space-time?
By the way, it thrills me that there exists a forum such as this where one can post such questions and get illuminating answers. Thank you all for being so generous with your time to assist amateurs struggling to understand.