Published March 24, 2025 | Version v100.002
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FRC 100.002 — Fractal Resonance Cognition in Quantum Chaos: Nodal Patterns in the Stadium Billiard

Creators

  • 1. Digid.ca

Description

Applies FRC ideas to quantum chaos: nodal patterns in the stadium billiard and resonant structure; numerical figures illustrate Poisson/chaotic interplay with reproducible setup.

Files

FRC100.002 Fractal Resonance Cognition in Quantum Chaos_ Nodal Patterns in the Stadium Billiard.pdf

Files (472.7 kB)

Additional details

Related works

Is cited by
Preprint: 10.5281/zenodo.15073056 (DOI)

Software

Repository URL
https://github.com/FractalResonance/Framework/tree/main/publications/FRC_100.002
Programming language
Python
Development Status
Concept

References

  • Servat, H. (2025). Fractal Resonance Cognition: A Framework for Complex Systems Analysis. Fractal Resonance Research. https://doi.org/10.5281/zenodo.15073056
  • Haake, F. (2010). Quantum signatures of chaos (3rd ed.). Springer.
  • Bohigas, O., Giannoni, M. J., & Schmit, C. (1984). Characterization of chaotic quantum spectra and universality of level fluctuation laws. Physical Review Letters, 52(1), 1-4.
  • Bunimovich, L. A. (1979). On the ergodic properties of nowhere dispersing billiards. Communications in Mathematical Physics, 65(3), 295-312.
  • Stöckmann, H.-J. (1999). Quantum chaos: An introduction. Cambridge University Press.