Jacob Barandes and Curt Jaimungal discuss Indivisible Stochastic Processes and their implications for quantum mechanics, exploring non‑Markovian dynamics, symmetry breaking, and the foundations of measurement without wave‑function collapse. The conversation also touches on philosophical perspectives, thought experiments, and connections to cosmology.- 00:00 - Introduction- 01:29 - Philosophy of Physics- 07:04 - Philosophical Physics- 10:55 - Understanding Symmetry Breaking in Physics- 15:03 - Historical Contributions of Philosophers to Quantum Theory- 25:03 - Real-World Examples of Symmetry Breaking- 32:03 - Philosophical Contributions and Funding in Physics- 38:00 - The Wigner's Friend Thought Experiment- 55:24 - Eternalism vs. Presentism: The Flow of Time- 1:05:31 - Connection to Cosmology and FLRW Models- 1:12:07 - Spontaneous vs. Explicit Symmetry Breaking- 1:15:37 - Indivisible Stochastic Processes and Future Directions- 01:40:06 - Markovianity in Quantum Mechanics- 01:42:12 - Linearity and Unitarity in Quantum Evolution- 01:43:23 - Unistochastic Processes and Quantum Channels- 01:45:20 - Quantum Channels and Steinspring Dilation- 01:46:18 - Hamiltonian Formulation Analogy- 01:49:05 - Double-Slit Experiment with Indivisible Processes- 01:52:08 - Measurement Devices and Emergibles- 02:00:04 - Seminar Culture and Philosophy in Physics- 02:02:38 - Coarse-Grained Double-Slit Example- 02:05:03 - No Wave Function Collapse in Indivisible Processes- 02:12:16 - Philosophical Insights and Importance in Physics- 02:18:08 - Critique of David Griffiths' Quantum Mechanics Textbook- 02:35:07 - Closing Remarks and Future TopicsSPONSORS:- The Economist: 20% off discount for TOE listeners - https://www.economist.com/toeRESOURCES:- Jacob's website: https://www.jacobbarandes.com/- Jacob's first appearance on TOE: https://www.youtube.com/watch?v=7oWip00iXbo&ab_channel=CurtJaimungal- Jacob's talk on "A New Formulation of Quantum Theory": https://www.youtube.com/watch?v=sshJyD0aWXg- The Stochastic-Quantum Correspondence (Jacob's paper): https://arxiv.org/pdf/2302.10778- McTaggart's paper on time: https://philpapers.org/archive/MCTTUO.pdf- Putnam's paper on time and geometry: https://www.jstor.org/stable/2024493?origin=JSTOR-pdf- Neil deGrasse Tyson on TOE: https://www.youtube.com/watch?v=HhWWlJFwTqs- Einstein-Podolsky-Rosen paper: https://cds.cern.ch/record/405662/files/PhysRev.47.777.pdf- Greta Hermann's paper on quantum mechanics in the philosophy of nature: https://cqi.inf.usi.ch/qic/grete_en.pdf- John Bell's paper on the Einstein Podolsky Rosen paradox: https://journals.aps.org/ppf/pdf/10.1103/PhysicsPhysiqueFizika.1.195- Bell's theorem without inequalities (paper): https://arxiv.org/pdf/quant-ph/0409190- Quantum mysteries revisited (paper): https://www.physics.smu.edu/scalise/P5382fa15/Mermin1990a.pdf- Quantum Theory by David Bohm (book): https://www.amazon.com/Quantum-Theory-Dover-Books-Physics/dp/0486659690- Bohm's second paper on quantum theory: https://journals.aps.org/pr/abstract/10.1103/PhysRev.85.180- Dirac's textbook on quantum mechanics: https://www.amazon.com/Principles-Quantum-Mechanics-International-Monographs/dp/0198520115- Wigner's paper on the mind-body question: https://www.scribd.com/doc/240712078/Eugen-Wigner-Remarks-on-the-Mind-body-Question
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