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PROBABILISTIC EVENTS AND PHYSICAL REALITY: A COMPLETE ALGEBRA OF PROBABILITY
Probability foundations random events
2008/4/22
This contribution derives from a rather extensive study on the foundations of probability. We start by discussing critically the two main models of the random event in Probability Theory and cast ligh...
General Covariance and the Objectivity of Space-Time Point-Events
Hole Argument Space-time Objectivity Physical Individuation
2008/4/14
"The last remnant of physical objectivity of space-time"is disclosed, beyond the Leibniz equivalence, in the case of a continuous family of spatially non-compact models of general relativity. The "phy...
Explaining Leibniz equivalence as difference of non-inertial appearances: dis-solution of the Hole Argument and physical individuation of point-events
Hole Argument
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...
Events and observables in generally invariant spacetime theories
Spacetime Events General covariance
2008/4/11
We address the problem of observables in generally invariant spacetime theories such as Einstein's general relativity. Using the refined notion of an event as a "point-coincidence" between scalar fiel...
Ephemeral Point-Events: Is There a Last Remnant of Physical Objectivity ?
Hole Argument Indeterminism Leibniz equivalence
2008/4/11
For the past two decades, Einstein's Hole Argument (which deals with the apparent indeterminateness of general relativity due to the general covariance of the field equations) and its resolution in t...
Conclusions About the Simultaneity of Two Events
Special Theory of Relativity Lorentz Transformations
2008/4/10
A 'gedanken' experiment is presented whereby two simultaneous events (from the point of view of an obesrver in a train) trigger an explosion which destroys a train. A stationary observer using the Spe...
Bell's Theorem, Uncertainty, and Conditional Events
Bell's theorem uncertainty principle conditional events
2008/4/10
This article explores a relationship between the generalized form of Heisenberg’s uncertainty relations and Bell-type inequalities in the context of their associated algebras. I begin by exploring the...
About conditional probabilities of events regarding the quantum mechanical measurement process
Heisenberg Principle Measurement process
2008/4/9
We consider the successive measurement of position and momentum of a single particle. Let P be the conditional probability to measure the momentum with precision dk, given a previously successful posi...