Probability Zero in Bohm’s Theory

2013 ◽  
Vol 80 (5) ◽  
pp. 1148-1158 ◽  
Author(s):  
Meir Hemmo ◽  
Orly Shenker
Keyword(s):  
Probability Zero ◽  
Bohm’S Theory

scholarly journals The Persistence of Memory: Surreal Trajectories in Bohm's Theory

2000 ◽  
Vol 67 (4) ◽  
pp. 680-703 ◽  
Author(s):  
Jeffrey A. Barrett
Keyword(s):  
Bohm’S Theory

The distribution postulate in Bohm's theory

Topoi ◽  
1995 ◽  
Vol 14 (1) ◽  
pp. 45-54 ◽  
Author(s):  
Jeffrey A. Barrett
Keyword(s):  
Bohm’S Theory

scholarly journals The effects of rotation on the lithium depletion of G- and K-dwarfs in Messier 35

2020 ◽  
Vol 500 (1) ◽  
pp. 1158-1177
Author(s):  
R D Jeffries ◽  
R J Jackson ◽  
Qinghui Sun ◽  
Constantine P Deliyannis
Keyword(s):  
Rotation Rate ◽  
Binary Systems ◽  
Main Sequence ◽  
Strong Relationship ◽  
Magnetic Activity ◽  
Rich Cluster ◽  
Stellar Radius ◽  
Rotation Periods ◽  
Probability Zero ◽  
Lithium Depletion

ABSTRACT New fibre spectroscopy and radial velocities from the WIYN telescope are used to measure photospheric lithium in 242 high-probability, zero-age main-sequence F- to K-type members of the rich cluster M35. Combining these with published rotation periods, the connection between lithium depletion and rotation is studied in unprecedented detail. At Teff < 5500 K there is a strong relationship between faster rotation and less Li depletion, although with a dispersion larger than measurement uncertainties. Components of photometrically identified binary systems follow the same relationship. A correlation is also established between faster rotation rate (or smaller Rossby number), decreased Li depletion and larger stellar radius at a given Teff. These results support models where star-spots and interior magnetic fields lead to inflated radii and reduced Li depletion during the pre-main-sequence (PMS) phase for the fastest rotators. However, the data are also consistent with the idea that all stars suffered lower levels of Li depletion than predicted by standard PMS models, perhaps because of deficiencies in those models or because saturated levels of magnetic activity suppress Li depletion equally in PMS stars of similar Teff regardless of rotation rate, and that slower rotators subsequently experience more mixing and post-PMS Li depletion.

Coverage of the whole space

2003 ◽  
Vol 35 (04) ◽  
pp. 898-912 ◽  
Author(s):  
Ilya Molchanov ◽  
Vadim Scherbakov
Keyword(s):  
Random Noise ◽  
Rate Function ◽  
Positive Probability ◽  
Critical Rate ◽  
Probability Zero ◽  
Whole Space ◽  
Grain Model ◽  
Spherical Grains ◽  
Total Coverage

Consider an inhomogeneous germ-grain model with spherical grains whose radii depend on their positions through a rate function, possibly perturbed by a random noise. We find the critical rate function that separates the cases when the germ-grain model covers the whole space with a positive probability and when the total coverage occurs with probability zero.

scholarly journals Nonlocality in Bell’s Theorem, in Bohm’s Theory, and in Many Interacting Worlds Theorising

Entropy ◽  
2018 ◽  
Vol 20 (8) ◽  
pp. 567 ◽  
Author(s):  
Mojtaba Ghadimi ◽  
Michael Hall ◽  
Howard Wiseman
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Bohmian Mechanics ◽  
Bell’S Theorem ◽  
Bell's Theorem ◽  
Significant Progress ◽  
Technical Problems ◽  
New Approach ◽  
Weak Notion ◽  
Bohm’S Theory

“Locality” is a fraught word, even within the restricted context of Bell’s theorem. As one of us has argued elsewhere, that is partly because Bell himself used the word with different meanings at different stages in his career. The original, weaker, meaning for locality was in his 1964 theorem: that the choice of setting by one party could never affect the outcome of a measurement performed by a distant second party. The epitome of a quantum theory violating this weak notion of locality (and hence exhibiting a strong form of nonlocality) is Bohmian mechanics. Recently, a new approach to quantum mechanics, inspired by Bohmian mechanics, has been proposed: Many Interacting Worlds. While it is conceptually clear how the interaction between worlds can enable this strong nonlocality, technical problems in the theory have thus far prevented a proof by simulation. Here we report significant progress in tackling one of the most basic difficulties that needs to be overcome: correctly modelling wavefunctions with nodes.

scholarly journals Stationary countable dense random sets

2000 ◽  
Vol 32 (01) ◽  
pp. 86-100 ◽  
Author(s):  
Wilfrid S. Kendall
Keyword(s):  
Probability Theory ◽  
Polish Space ◽  
Measurable Subset ◽  
Locally Compact Group ◽  
Random Sets ◽  
Random Set ◽  
Locally Compact ◽  
Polish Spaces ◽  
Probability Zero ◽  
Group Of Symmetries

We study the probability theory of countable dense random subsets of (uncountably infinite) Polish spaces. It is shown that if such a set is stationary with respect to a transitive (locally compact) group of symmetries then any event which concerns the random set itself (rather than accidental details of its construction) must have probability zero or one. Indeed the result requires only quasi-stationarity (null-events stay null under the group action). In passing, it is noted that the property of being countable does not correspond to a measurable subset of the space of subsets of an uncountably infinite Polish space.

Coverage of the whole space

2003 ◽  
Vol 35 (4) ◽  
pp. 898-912 ◽  
Author(s):  
Ilya Molchanov ◽  
Vadim Scherbakov
Keyword(s):  
Random Noise ◽  
Rate Function ◽  
Positive Probability ◽  
Critical Rate ◽  
Probability Zero ◽  
Whole Space ◽  
Grain Model ◽  
Spherical Grains ◽  
Total Coverage

Consider an inhomogeneous germ-grain model with spherical grains whose radii depend on their positions through a rate function, possibly perturbed by a random noise. We find the critical rate function that separates the cases when the germ-grain model covers the whole space with a positive probability and when the total coverage occurs with probability zero.

On the Equivalence of Modes of Convergence(1)

1973 ◽  
Vol 16 (4) ◽  
pp. 571-575 ◽  
Author(s):  
R. J. Tomkins
Keyword(s):  
Probability Space ◽  
Random Variables ◽  
Real Numbers ◽  
Probability Zero

Let (Ω,ℱ, P) be a probability space. Let R denote the set of real numbers and the set of all random variables defined on Ω. Throughout this work, random variables which differ only on a set of probability zero will be considered identical. EX represents, as usual, the expectation of .

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