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Explaining Leibniz equivalence as difference of non-inertial appearances: dis-solution of the Hole Argument and physical individuation of point-events
Hole Argument
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2008/4/11
”The last remnant of physical objectivity of space-time” is disclosed in the case of a continuous family of spatially non-compact models of general relativity (GR). The physical individuation of point...
Another look at general covariance and the equivalence of reference frames
General covariance equivalence relativity
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2008/4/10
In his general theory of relativity (GR) Einstein sought togeneralize the special-relativistic equivalence of inertial frames to a principle according to which all frames of reference are equivalent. ...
An Elementary Notion of Gauge Equivalence
Gauge Equivalence Asymptotic Boundary Conditions
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2008/4/10
An elementary notion of gauge equivalence is introduced that does not require any Lagrangian or Hamiltonian apparatus. It is shown that in the special case of theories, such as general relativity, who...
3D/4D Equivalence, the Twins Paradox, and Absolute Time
three-dimensional four-dimensional physical objects
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2008/4/9
The thesis of 3D/4D equivalence states that every three-dimensional description of the world is translatable without remainder into a four-dimensional description, and vice versa. In representing an o...