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In this captivating of Theories of Everything, Jacob Barandes and I delve into the intricate world of Indivisible Stochastic Processes and their profound impact on quantum mechanics. We explore how these non-Markovian systems introduce quantum phenomena like superposition and interference without the traditional wave function collapse.
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Timestamps:
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 Topics
Links Mentioned (additional links in comments):
- 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
#science #physics #theoreticalphysics #quantumphysics
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