Corpus evidence — top 10 passages

Most-relevant passages from the entire indexed corpus (67,286 paragraph chunks across YouTube transcripts, PubMed, arXiv, archive.org, Stanford Encyclopedia of Philosophy, OpenAlex, and more) ranked by semantic similarity (bge-small-en-v1.5).

1. 01 · yt0.881

   Oh, I was saying, okay, so in the principal   polynomial, I can imagine that there's a lot  of theoretical considerations. I can imagine   how you can get symmetry or anti-symmetry  conditions. I can imagine how you can get   signature. I can imagine how you get that it is  non-degenerate or that is degenerate. But I don't   see how you get compatibility with connection  as a condition of the principal polynomial. But there's no connection at all. So, okay, what  we call signature in the metric, if I look at it   from t…

   yt/Bnh-UNrxYZg-frederic-schuller-the-physicist-who-derived-gravity-from-ele/transcript.txt

2. 02 · yt0.784

   How do you go from Maxwell's equations to the  action of Einstein and Hilbert? Spell that out. Okay. So, ask how does this bigger scheme  work in the special case if you would,   say, start with matter, that is  Maxwell electrodynamics, right? Yes. On some metric background. Let's not even say  Lorentzian, any metric, any signature. Well,   the first thing you would do is to… So, you  would find out for what background signature,   if you start with a metric like this, would you  have a well-defined Cauchy problem for Maxwell's &…

   yt/Bnh-UNrxYZg-frederic-schuller-the-physicist-who-derived-gravity-from-ele/transcript.txt

3. 03 · blog0.752

   276–277) In this quotation Bohr notes all three correspondence relations: the selection rule correspondence, the asymptotic frequency correspondence, and the asymptotic intensity correspondence. Bohr then turns to a discussion of Heisenberg’s matrix mechanics paper, arguing that It [the new matrix mechanics] operates with manifolds of quantities, which replace the harmonic oscillating components of the motion and symbolise the possibilities of transitions between stationary states in conformity with the correspondence principle… In brief, the whole apparatus of the quantum mechanics can be reg…

   blog/plato-stanford-edu/bohr-s-correspondence-principle.md

4. 04 · openalex-fanout0.751

   I. Perturbation treatment of the axisymmetric collision — cited 194x (2002) Matching constraints and the joint image — cited 194x (1992) Spineurs, opérateurs de dirac et variations de métriques — cited 188x (2001) Born-Infeld theory and stringy causality — cited 180x (2020) Energy conditions in general relativity and quantum field theory — cited 179x (1989) New variables for gravity: Inclusion of matter — cited 179x (1999) Geometric holography, the renormalization group and the c-theorem — cited 177x (1990) Tensor representation of the quantum groupSL q (2,C) and quantum Minkowski space — cite…

   openalex-fanout/W1789645782-spinors-and-space-time/info.md

5. 05 · openalex0.742

   - **Discreteness of area and volume in quantum gravity** (1995) — cited 1368x · https://arxiv.org/pdf/gr-qc/9411005 - **Lorentz Invariance with an Invariant Energy Scale** (2002) — cited 1221x · https://arxiv.org/pdf/hep-th/0112090 - **Loop space representation of quantum general relativity** (1990) — cited 843x · https://doi.org/10.1016/0550-3213(90)90019-a - **Generalized Lorentz invariance with an invariant energy scale** (2003) — cited 695x · https://arxiv.org/pdf/gr-qc/0207085 - **Spin networks and quantum gravity** (1995) — cited 624x · https://arxiv.org/pdf/gr-qc/9505006 - **Gravity's r…

   openalex/A5033243912/info.md

6. 06 · blog0.741

   150) Bokulich (2008, and 2009 [Other Internet Resources]) has argued that interpreting the correspondence principle in terms of the selection rule not only illuminates Bohr’s claim that it explains the capriciousness of the spectral lines, but also his claim that the correspondence principle is a law of quantum theory. Indeed, the correspondence that he refers to as a “law” is the selection rule correspondence, which holds also for small quantum numbers, not just in the classical limit. It is a law because it is a universal (i.e., applying to all \(n)\) restriction on the allowed quantum trans…

   blog/plato-stanford-edu/bohr-s-correspondence-principle.md

7. 07 · blog0.740

   In his 1922 lectures on atomic theory in Göttingen, Bohr again emphasizes that the correspondence principle holds even for low quantum number transitions. This can particularly be seen in his discussion of the well-known red and green spectral lines of the Balmer series in the visible part of the hydrogen spectrum. The red spectral line (which really is red at a wavelength of around 656 nm) is typically labeled \(\rH_{\alpha}\), and is the result of radiation emitted in the jump from the \(n = 3\) to \(n = 2\) stationary state. The green line (labeled \(\rH_{\beta}\) with a wavelength of aroun…

   blog/plato-stanford-edu/bohr-s-correspondence-principle.md

8. 08 · blog0.735

   Moreover, he takes this correspondence to be the ground or justification for the view that quantum theory is a rational generalization of classical mechanics (for a discussion of this latter view see Bokulich and Bokulich 2005). A few pages later, in a section titled “The Correspondence Principle,” Bohr goes on to describe both the frequency correspondence and the intensity correspondence: This correspondence between frequencies determined by the two methods must have a deeper significance and we are led to anticipate that it will also apply to the intensities. This is equivalent to the statem…

   blog/plato-stanford-edu/bohr-s-correspondence-principle.md

9. 09 · openalex0.734

   Prentki — cited 10x (1960) |ΔS|=1, |ΔI|=1/2 rules with two charged intermediate boson fields — Bernard d’Espagnat — cited 10x (1998) Quantum Theory : A Pointer To An Independent Reality — Bernard d’Espagnat — cited 9x (1986) Are the quantum rules exact? The case of the imperfect measurements — Bernard d’Espagnat — cited 9x (1956) Symmetries in Isotopic Spin Space and the Charge Operator — Bernard d’Espagnat J. Prentki — cited 7x (1964) Intermediate bosons and unitary symmetry — Bernard d’Espagnat Y. Villachon — cited 7x (1960) Incompatibilité entre l’hypothèse de la symétrie restreinte et cert…

   openalex/A5064222583/info.md

10. 10 · openalex0.733

    LeFloch Roberto Natalini — cited 23x (1988) Cocyclisation des complexes biscarbéniques bimétalliques avec le diphénylacétylène: synthèse de dérivés de bisnaphtols et de bisindènes — Ngoc Hoa Tran Huy Philippe G. LeFloch — cited 16x (2008) Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms — Philippe G. LeFloch Baver Okutmuştur — cited 14x (2017) The global nonlinear stability of Minkowski space. Einstein equations, f(R)-modified gravity, and Klein-Gordon fields — Philippe G. LeFloch Yue Ma — cited 13x (2008) A symmetrization of the relativistic Euler…

    openalex/A5035830456/info.md