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Spinors and space-time
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant
A Generalized inverse for matrices
This paper describes a generalization of the inverse of a non-singular matrix, as the unique solution of a certain set of equations. This generalized inverse exists for any (possibly rectangular)
The Emperor's New Mind
Els cometes presenten en general un nucli brillant de dimensions reduides (uns quilbmetres), de forma irregular i que conte gairebe tota la massa, una cabellera al voltant del nucli i una cua (si es
An Approach to Gravitational Radiation by a Method of Spin Coefficients
A new approach to general relativity by means of a tetrad or spinor formalism is presented. The essential feature of this approach is the consistent use of certain complex linear combinations of
The road to reality.
On Gravity's role in Quantum State Reduction
The stability of a quantum superposition of two different stationary mass distributions is examined, where the perturbing effect of each distribution on the space-time structure is taken into
Shadows of the Mind
This book attempts to take a firm grip on a corner of the slippery issue of consciousness. It is directly related to Roger Penrose's earlier, hugely successful work, The Emperor's New Mind. Although
Zero rest-mass fields including gravitation: asymptotic behaviour
  • R. Penrose
  • Mathematics, Physics
    Proceedings of the Royal Society of London…
  • 23 February 1965
A zero rest-mass field of arbitrary spin s determines, at each event in space-time, a set of 2s principal null directions which are related to the radiative behaviour of the field. These directions
The singularities of gravitational collapse and cosmology
A new theorem on space-time singularities is presented which largely incorporates and generalizes the previously known results. The theorem implies that space-time singularities are to be expected if
Gravitational collapse and spacetime singularities
accompanied by a violent release of energy, possible in the form of gravitational radiation. The detailed mathematical discussion of such situations is difficult since the full complexity of general