## Imaginary time

Statics (geometric = no time): | ||

[x] | x coordinate | |

[y] | y coordinate | |

[k] | proportionality constant | |

[y/x] | slope | |

[k y/x] | proportional to slope | |

[k y^2/x^2] | distortion | |

[k y^2/x^2] | original shape | |

[k y^2/x] | least S at equilibrium | |

Statics (with energy): | ||

[x] | parameterization of curve | |

[y] | y coordinate | |

[kg x/s^2] | spring constant at x | |

[y/x] | slope | |

[kg y/s^2] | force due to stretching | |

[kg y^2/s^2 x = J/x] | stretching energy density | |

[kg y^2/s^2 x= J/x] | gravitational energy density | |

[kg y^2/s^2 = J] | energy (least energy at equilibrium) | |

Statics (unitless distance): | ||

[1] | parameterization of curve | |

[m] | y coordinate | |

[kg/s^2] | spring constant | |

[m] | relative displacement | |

[kg m/s^2 = N] | force at x due to stretching | |

[kg m^2 / s^2 = J] | stretching energy at x | |

[kg m^2 / s^2 = J] | gravitational energy at x | |

[kg m^2 / s^2 = J] | energy (least energy at equilibrium) | |

Dynamics (): | ||

[s] | time | |

[m] | y coordinate | |

[kg] | mass | |

[m/s] | velocity | |

[kg m/s] | momentum | |

[-kg m^2/s^2 = -J] | -kinetic energy | |

[kg m^2 / s^2 = J] | potential energy | |

[kg m^2/s] | i * action |

See also Toby Bartels‘ sci.physics post.

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partandwholesaid, on 2009 January 12 at 1:31 pmI am fascinated. And rueful over my failed phone call this weekend. And massively sleep-deprived after a full-weekend battle with children-borne night terrors and consequent lack of sleep. So: when I call you up (tonight?) can we please talk also about material manifestations, if such there may be, of imaginary time? Does the universe actually manifest this and its manifold derivatives?