See pdf *here*.

Parallel Relativity Equations

Space with Time | Time with Space | |

Rate of change | Time speed: v = ds/dt |
Space pace: ℓ = dt/ds |

Mean rate of change | Time mean speed (TMS) |
Space mean pace (SMP) |

Extreme rate of change | c = 1/k |
k = 1/c |

Normalized rate of change | β = v/c = (ℓ/k)¯¹ |
β¯¹ = ℓ/k = (v/c)¯¹ |

Lorentz factor | γ = 1/√(1 ‒ β ²) |
βγ = 1/√(1 ‒ β ¯²) |

Length-time transformation | See pdf | See pdf |

Galilean transformation | See pdf | See pdf |

Lorentz transformation | See pdf | See pdf |

Symmetric GT | See pdf | See pdf |

Symmetric LT | See pdf | See pdf |

Transposed Time with Space | Transposed Space with Time | |

Rate of change | Space speed |
Time pace |

Mean rate of change | Space mean speed (SMS) |
Time mean pace (TMP) |

Extreme rate of change | k = 1/c |
c = 1/k |

Normalized rate of change | β = (ℓ/k)¯¹ = v/c |
β¯¹ = (v/c)¯¹ = ℓ/k |

Lorentz factor | βγ = 1/√(1 ‒ β ¯²) |
γ = 1/√(1 ‒ β ²) |

Galilean transformation | See pdf | See pdf |

Lorentz transformation | See pdf | See pdf |

Symmetric GT | See pdf | See pdf |

Symmetric LT | See pdf | See pdf |