منابع مشابه
Gravi-Weak Unification
The coupling of chiral fermions to gravity makes use only of the selfdual SU(2) subalgebra of the (complexified) SO(3, 1) algebra. It is possible to identify the antiselfdual subalgebra with the SU(2)L isospin group that appears in the Standard Model, or with its right-handed counterpart SU(2)R that appears in some extensions. Based on this observation, we describe a form of unification of the ...
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After having listened to Luciano Berio’s recomposition of Mahler1 inside his own Sinfonia (1968), we can never listen again to the original Mahler in the same “pure” way. Our cummulative, historic (and creative) listening makes all cross-references at once each time we go back to either one. I feel that something very similar happened to me after having compared Marenzio’s 4-voice madrigal Zefi...
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متن کاملQuaternion Involutions
An involution is usually defined as a mapping that is its own inverse. In this paper, we study quaternion involutions that have the additional properties of distribution over addition and multiplication. We review formal axioms for such involutions, and we show that the quaternions have an infinite number of involutions. We show that the conjugate of a quaternion may be expressed using three mu...
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As we know, quaternions are very efficient for representing rotations with clear geometric meaning (rotation axis and angle) and only one redundancy. Unfortunately, they do not handle translations, which meanwhile can be made multiplicative along with rotations via the use of homogeneous coordinates. Despite also being 4-tuples, homogeneous coordinates are algebraically incompatible with quater...
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2011
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-011-0953-1