Recent content by TangledMind
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Graduate Operators for measuring superposition component distinctnes?
It's not an expression. It's a physical entity. Superposition = information based on preparation. Thus, you have presented us three different preparations, three different physical systems. Surely there must be a way to tell them apart. If those are systems where "internal space/distance" of...- TangledMind
- Post #2
- Forum: Quantum Physics
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Graduate Observables vs. continuum and metric?
Space in quantum mechanics seems to be modeled as a triplet of real numbers, i.e. a continuum. Same happens in special relativity. General relativity I do not know (nor field theories). And then we apply the Pythagorean theorem and triangle inequality and so forth... I have a few general...- TangledMind
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- Continuum Metric observables
- Replies: 1
- Forum: Quantum Physics
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High School About light, photon mass and E=mc^2
Which mass? Rest mass? Show me a photon at rest :D The concept of mass is a little bit more complicated than "m". And no, I do not fully understand it. Not even nearly so. You may also be interested in: Invariant mass, mass in special relativity, gravitational lens, mass in general relativity, ...- TangledMind
- Post #3
- Forum: Quantum Physics
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Graduate Motivations for the C*-algebra of observables?
These answers were very helpfull. Thank you. Are there some hidden weaknesses in the axioms of the C*-algebra formulation that have made it unpopular, or is it still considered scientifically as valid as the other formulations?- TangledMind
- Post #4
- Forum: Quantum Physics
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Graduate Motivations for the C*-algebra of observables?
As far as I understand, the Hilbert space formalism can be derived using functional analysis and representation theory (not familiar with those) from the requirement that observables (their mathematical models) form a C*-algebra and the possible states of a system map the members of the algebra...- TangledMind
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- Banach Measurement Observable observables State
- Replies: 4
- Forum: Quantum Physics
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How Can Quantum Physics and Mathematics Coexist in Scientific Discoveries?
What has brought me here? I have read about exciting experimental discoveries that challenge the intuition (e.g. about quantum physics), and I have studied the well defined and beautiful structures of mathematics. What is "slightly" confusing though, is the meeting ground of these. Anyway, both...- TangledMind
- Thread
- Replies: 2
- Forum: New Member Introductions