Über die Serienspektren der Elemente.¶
Bohr, N. (1920). Über die Serienspektren der Elemente. Zeitschrift für Physik, 2(5), 423-469.
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Primes¶
- Correspondence Principle
- The Correspondence Principle is the meta-theoretical constraint that (1) a new, more general theory must reproduce the predictions of the older theory it supersedes in the regime where the older theory was empirically validated, (2) this reduction typically appears as a well-defined limit: ℏ → 0 (classical limit of quantum mechanics), c → ∞ (non-relativistic limit of special relativity), G → 0 or high-gravitational-scale limits recovering Newtonian gravity, n → ∞ (large quantum number → classical orbital behavior in Bohr's original formulation), (3) the principle functions both as a consistency check — any candidate successor theory that fails to recover established results in their domain is refuted — and as a constructive guide: proposing a new theory means specifying how the classical theory emerges from it, and (4) the reduction is directional: the new theory is strictly more general, while the old theory remains valid within its domain as a computationally simpler, approximate description.
This sourceThe paper in which Bohr first names and states the correspondence principle; supports the Core-Idea definition that a successor theory must reproduce the predecessor's predictions in its validated regime, as a limit (D13-100). NOTE: prime gives the title as 'Über die Linienspektren der Elemente'; the published title is 'Über die Serienspektren der Elemente.'
- The Correspondence Principle is the meta-theoretical constraint that (1) a new, more general theory must reproduce the predictions of the older theory it supersedes in the regime where the older theory was empirically validated, (2) this reduction typically appears as a well-defined limit: ℏ → 0 (classical limit of quantum mechanics), c → ∞ (non-relativistic limit of special relativity), G → 0 or high-gravitational-scale limits recovering Newtonian gravity, n → ∞ (large quantum number → classical orbital behavior in Bohr's original formulation), (3) the principle functions both as a consistency check — any candidate successor theory that fails to recover established results in their domain is refuted — and as a constructive guide: proposing a new theory means specifying how the classical theory emerges from it, and (4) the reduction is directional: the new theory is strictly more general, while the old theory remains valid within its domain as a computationally simpler, approximate description.
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