Science Notes

by Greg Egan

• If you link to this page, please use this URL: http://www.gregegan.net/SCIENCE/Science.html
• Resonant Modes of a Conical Cavity | General Relativity in 2+1 dimensions | Klein's Quartic Curve | Light Mill applet | Weak-field GR near a planar mass | The Rindler Horizon | Rotating Elastic Rings, Disks and Hoops
• “Border Guards” | Diaspora | Essays | Foundations | Horror Stories | Incandescence | Miscellaneous Fiction | “Oceanic” | Permutation City | “The Planck Dive” | Quarantine | Schild's Ladder | Science Notes | Teranesia | Zendegi
• Back to home page | Site Map | Side-bar Site Map

This section contains notes on some miscellaneous scientific matters, mostly arising from discussions on the newsgroup sci.physics.research.

• Resonant Modes of a Conical Cavity 
  • Field solutions 
  • Energy, pressure and forces 
  • Currents, heating and Q factors 
  • Proof of zero force for any shape of cavity 
  • References 
• A Simple Asymmetric Resonant Cavity 
• General Relativity in 2+1 dimensions 
  • Basic concepts 
  • Multi-particle systems 
  • Collisions 
• Null Rotations in 2+1 dimensions 
  • Five roads to null rotations 
  • Properties of null rotations 
• Klein's Quartic Curve 
• Klein's Quartic Equation 
  • Topology 
  • Symmetries 
  • Visualising the full solution 
  • Parameterising the solution 
• Light Mill applet^* 
• Hot Plate applet^* 
• Light Mill results 
  • Locked rotor 
  • Varying the rotor's outer radius 
• Hot Plate results 
  • Displacement vs particle number 
  • Force on locked plate vs particle number 
• Weak-field GR near a planar mass 
  • Preliminaries 
  • Acceleration towards the plane 
  • Tidal effects 
  • References 
• The Rindler Horizon 
  • Preliminaries 
  • Static situations 
  • Free fall 
  • Dynamic situations 
  • String unreeled at a constant rate 
  • Conclusions 
• Relativistic Elasticity 
• Rotating Elastic Rings, Disks and Hoops 
  • Preliminaries 
  • Rings and disks 
  • Hoops 
  • Energy and angular momentum 
  • Pulsations, vibrations and stability 
  • Limitations of the model 
• Newtonian Hoop applet^* 

Other scientific topics are discussed in the sections of this web site relating to particular works of science fiction, in the notes for some of my Java applets, and in four essays I wrote on the Foundations of modern physics.

• If you link to this page, please use this URL: http://www.gregegan.net/SCIENCE/Science.html
• Resonant Modes of a Conical Cavity | General Relativity in 2+1 dimensions | Klein's Quartic Curve | Light Mill applet | Weak-field GR near a planar mass | The Rindler Horizon | Rotating Elastic Rings, Disks and Hoops
• “Border Guards” | Diaspora | Essays | Foundations | Horror Stories | Incandescence | Miscellaneous Fiction | “Oceanic” | Permutation City | “The Planck Dive” | Quarantine | Schild's Ladder | Science Notes | Teranesia | Zendegi
• Back to home page | Site Map | Side-bar Site Map