605 research outputs found
On Logical Analysis of Relativity Theories
The aim of this paper is to give an introduction to our axiomatic logical
analysis of relativity theories.Comment: 19 pages, 1 figure
Geometrical Lorentz Violation and Quantum Mechanical Physics
On the basis of the results of some experiments dealing with the violation of
Local Lorentz Invariance (LLI) and on the formalism of the Deformed Special
Relativity (DSR), we examine the connections between the local geometrical
structure of space-time and the foundation of Quantum Mechanics. We show that
Quantum Mechanics, beside being an axiomatic theory, can be considered also a
deductive physical theory, deducted from the primary physical principle of
Relativistic Correlation. This principle is synonym of LLI and of a rigid and
at minkowskian space-time. The results of the experiments mentioned above show
the breakdown of LLI and hence the violation of the principle of Relativistic
Correlation. The formalism of DSR allows to highlight the deep meaning of LLI
breakdown in terms of the geometrical structure of local space-time which, far
from being rigid and at, is deformed by the energy of the physical phenomena
that take place and in this sense it has an active part in the dynamics of the
whole physical process. This perspective has a far reaching physical meaning
that extends its consequences to the foundations of Quantum Mechanics according
to the interpretation of Copenhagen. It provides a 'real' explanation and
description of quantum phenomena enriching, by the concept of deformed
space-time, the realistic interpretation in terms of pilot wave and hence it
uncovers the reality hidden below the probabilistic interpretation and
dualistic nature of quantum objects.Comment: 4 figures, 15 page
The collapse of supertasks
A supertask consists in the performance of an infinite number of actions in a
finite time. I show that any attempt to carry out a supertask will produce a
divergence of the curvature of spacetime, resulting in the formation of a black
hole. I maintain that supertasks, contrarily to a popular view among
philosophers, are physically impossible. Supertasks, literally, collapse under
their own weight.Comment: 10 pages, accepted for publication in Foundations of Scienc
On the Argument from Physics and General Relativity
I argue that the best interpretation of the general theory of relativity has need of a causal entity, and causal structure that is not reducible to light cone structure. I suggest that this causal interpretation of GTR helps defeat a key premise in one of the most popular arguments for causal reductionism, viz., the argument from physics
First-Order Logic Foundation of Relativity Theories
Motivation and perspective for an exciting new research direction
interconnecting logic, spacetime theory, relativity--including such
revolutionary areas as black hole physics, relativistic computers, new
cosmology--are presented in this paper. We would like to invite the logician
reader to take part in this grand enterprise of the new century. Besides
general perspective and motivation, we present initial results in this
direction.Comment: 25 pages, 4 figure
A Geometrical Characterization of the Twin Paradox and its Variants
The aim of this paper is to provide a logic-based conceptual analysis of the
twin paradox (TwP) theorem within a first-order logic framework. A geometrical
characterization of TwP and its variants is given. It is shown that TwP is not
logically equivalent to the assumption of the slowing down of moving clocks,
and the lack of TwP is not logically equivalent to the Newtonian assumption of
absolute time. The logical connection between TwP and a symmetry axiom of
special relativity is also studied.Comment: 22 pages, 3 figure
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