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New experiments are challenging our conventional understanding of past, present, and future in the quantum world. This workshop will, therefore, explore the very foundations of our understanding of space, time, and gravity by looking at new mathematical concepts and methods related to the quantum processes of measuring location, orientation, speed, cause and effect. We expect to forge a path that blends together new ideas on how our description of the structure of space and time must be modified to fully understand how to combine gravity with quantum physics.