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SYNTHESIS Space-Time Revisited

SYNTHESIS Space-Time Revisited. Antimatter Feynman Diagrams Quantum Electrodynamics. Relativity Deterministic E = mc² Space-Time/Gravity. Quantum Mechanics Probabilistic Schrodinger Equation Atoms/Nuclei. (Special) Relativity + Quantum = ?.

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SYNTHESIS Space-Time Revisited

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  1. SYNTHESIS Space-Time Revisited • Antimatter • Feynman Diagrams • Quantum Electrodynamics

  2. Relativity • Deterministic • E = mc² • Space-Time/Gravity • Quantum Mechanics • Probabilistic • Schrodinger Equation • Atoms/Nuclei (Special) Relativity + Quantum = ?

  3. Consistency requires: (Dirac) Positive and Negative Energy, E = ± mc² Particle creation and destruction Negative Energy = Nonsense (empty space unstable) time Positive energy particle going forwards in time space

  4. time Feynman Negative energy particle going backwards in time Back wards in time = Nonsense But.. nonsense & nonsense = sense space Negative & Backwards = Positive & Forwards Energy in time Energy in time Anti-matter -1 x -1 = +1 x +1

  5. Anti-particles Every particle type has a corresponding anti-particle e.g. particle = electron Anti-particle = positron • Notes: • Anti-particles have appearance of positive energy and appear to go forwards in time • Same mass (rest energy) as particle • Some things are opposite e.g. electric charge • Some particles are same as anti-particles e.g. photons • Particles & anti-particles annihilate one another • -> Medical application PET scans

  6. Feynman Diagrams Quantum mechanics meets space-time PARTICLE PHYSICS Feynman rules assign a probability phase to each possible (unobserved) world-line between two observed events Total probability for events to happen is sum over all world-lines phases between them

  7. 2. Feynman rules imply particle creation and annihilation • Examples: • Electron absorbs a photon • Electron emits a photon (color of atoms) • Photon splits into electron & positron • Electron and positron combine to a photon Q uantum E lectro D ynamics

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