Diversity Combining via Universal Dimension-Reducing Space-Time Transformations

Author(s):  
Elad Domanovitz ◽  
Uri Erez
2015 ◽  
Vol 5 (3) ◽  
pp. 699-724
Author(s):  
Geraldo Andrello ◽  
Antonio Guerreiro ◽  
Stephen Hugh-Jones

Abstract The multi-ethnic and multilingual complexes of the Upper Rio Negro and the Upper Xingu share common aspects that frequently emerge in ethnographies, including notions of descent, hierarchical social organization and ritual activities, as well as a preference for forms of exogamy and the unequal distribution of productive and ritual specialties and esoteric knowledge. In this article we investigate how the people of both regions conceive of their humanity and that of their neighbours as variations on a shared form, since in both regions ritual processes for negotiating positions and prerogatives seems to take the place of the latent state of warfare typical of the social life of other Amazonian peoples. In this article we will synthesize, for each region, the spatio-temporal processes that underscore the eminently variable constitution of collectivities, seeking, in conclusion, to isolate those elements that the two regions have in common.


2007 ◽  
Vol 22 (13) ◽  
pp. 2441-2459 ◽  
Author(s):  
DIMITRI POLYAKOV

We observe and study new nonlinear global space–time symmetries of the full ghost + matter action of RNS superstring theory. We show that these surprising new symmetries are generated by the special worldsheet currents (physical vertex operators) of RNS superstring theory, violating the equivalence of superconformal ghost pictures. We review the questions of BRST-invariance and nontriviality of picture-dependent vertex operators and show their relation to hidden space–time symmetries and hidden space–time dimensions. In particular, we relate the space–time transformations, induced by picture-dependent currents, to the symmetries observed in the 2T physics approach.


2011 ◽  
Vol 84 (2) ◽  
Author(s):  
Roberto Casalbuoni ◽  
Joaquim Gomis ◽  
Kiyoshi Kamimura

2015 ◽  
Vol 12 (04) ◽  
pp. 763-785
Author(s):  
François Dubois

For hyperbolic systems of conservation laws in one space dimension endowed with a mathematical entropy, we define the notion of entropy velocity and we give sufficient conditions for such a system to be covariant under the action of a group of space-time transformations. These conditions naturally introduce a representation of the group in the space of states. We construct such hyperbolic systems from the knowledge of data on the manifold of null velocity. We apply these ideas for Galileo, Lorentz, and circular groups and, in particular, focus on nontrivial examples of [Formula: see text] systems of conservation laws.


2005 ◽  
Vol 20 (32) ◽  
pp. 7485-7504 ◽  
Author(s):  
JONG-PING HSU ◽  
DANA FINE

We discuss ideas and problems regarding classical and quantum gravity, gauge theory of gravity, and space–time transformations between accelerated frames. Both Einstein's theory of gravity and Yang–Mills theory are gauge invariant. The invariance principles are at the very heart of our understanding of the physical world. This paper attempts to survey the development and to reveal problems and limitations of various formulations to gravitational and Yang–Mills fields, and to space–time transformations of accelerated frames. Gravitational force and accelerated frames are two ingredients in Einstein's thought in the period around 1907. Accelerated frames are difficult to define and are not well developed. However, one cannot claim to have a complete understanding of the physical world, if one understands flat space–time physics only from the viewpoint of the special class of inertial frames and ignores the vast class of noninertial frames. The paper highlights three aspects: (1) ideas of gravity as a Yang–Mills field, first discussed by Utiyama; (2) problems of quantum gravity, discussed by Feynman, Dyson and others; (3) space–time properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and Yang–Mills' profound thoughts present a challenge to physicists and mathematicians in the 21st century.


1980 ◽  
Vol 21 (10) ◽  
pp. 2491 ◽  
Author(s):  
J. Beckers ◽  
J. Harnad ◽  
P. Jasselette

1994 ◽  
Vol 71 (2) ◽  
pp. 811-813 ◽  
Author(s):  
M. Flanders ◽  
J. J. Pellegrini ◽  
J. F. Soechting

1. Temporal patterns of electromyographic (EMG) activity were related to the direction of fast reaching movements. Reaches were to 20 targets in the sagittal plane of the human arm. 2. The subtraction of EMG levels recorded during very slow movements to each target allowed this study to focus on the phasic aspects of complex EMGs. 3. General features of the phasic spatial/temporal patterns differed across muscles, even across muscles at the same joint. This indicates that future models of cortical to motoneuronal processing must include nonuniform space-time transformations.


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