Activity: Talk or presentation › Talk or presentation at a conference

Koen Lefever - Speaker

Székely Gergely - Speaker

The aim of this talk is to present a new logic based understanding of the connection between special relativity and Newtonian kinematics.

We show that the axioms of special relativity can be interpreted in the language of Newtonian kinematics. This means that there is a logical translation function from the language of special relativity to the language of Newtonian kinematics which translates the axioms of special relativity into consequences of Newtonian kinematics.

We will also show that if we distinguish a class of observers (representing the Newtonian observes stationary with respect to the "Ether") in special relativity and exclude the non-slower-than light observers from Newtonian kinematics by an extra axiom, then the two theories become definitionally equivalent (i.e., they become equivalent theories in the sense as the theory of lattices as algebraic structures is the same as the theory of lattices as partially ordered sets).

So within an axiomatic framework of mathematical logic, we explicitly show that the transition from Newtonian kinematics to special relativity is the knowledge acquisition of that there is no "Ether" and inertial observers can only move slower than the speed of light.

We show that the axioms of special relativity can be interpreted in the language of Newtonian kinematics. This means that there is a logical translation function from the language of special relativity to the language of Newtonian kinematics which translates the axioms of special relativity into consequences of Newtonian kinematics.

We will also show that if we distinguish a class of observers (representing the Newtonian observes stationary with respect to the "Ether") in special relativity and exclude the non-slower-than light observers from Newtonian kinematics by an extra axiom, then the two theories become definitionally equivalent (i.e., they become equivalent theories in the sense as the theory of lattices as algebraic structures is the same as the theory of lattices as partially ordered sets).

So within an axiomatic framework of mathematical logic, we explicitly show that the transition from Newtonian kinematics to special relativity is the knowledge acquisition of that there is no "Ether" and inertial observers can only move slower than the speed of light.

9 Aug 2015 → 13 Aug 2015

Title | Logic, Relativity & Beyond |
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Abbrev. Title | LRB |

Period | 9/08/15 → 13/08/15 |

Web address (URL) | |

Location | Alfréd Rényi Institute of Mathematics |

City | Budapest |

Country | Hungary |

Degree of recognition | International event |

Text, 424 KB, PDF document

ID: 48675675