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SYNTHESIS Space-Time Revisited

This exploration delves into the fascinating realm of antimatter, examining its relationship with space-time, quantum mechanics, and Feynman diagrams. We highlight the deterministic nature of energy equations, such as E=mc², and the implications of positive and negative energies in particle physics. The concept of particle-antiparticle interactions, including their annihilation and medical applications like PET scans, is discussed. Through Feynman rules, we analyze how quantum electrodynamics assigns probabilities to various unobserved events in the universe, revealing the intricate dance of particles in the fabric of space-time.

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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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