A complex minkowski space approach to twistors

Hansen, R. O.; Newman, Ezra T.

doi:10.1007/bf00761970

Cited by 30 publications

(37 citation statements)

References 13 publications

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“…For our purposes here, we will utilize the line invariant element expressed in Einstein's special relativity theory. Hansen and Newman [50] demonstrate, in their extensive paper, that the complex eight space metric yields the proper solutions to Einstein's field equations only in the condition asymmetrically flat Euclidean geometries for the case of low gravitational fields. Thus, this formalism approximates, in very general terms the conditions described by special relativity.…”

Section: Formalism Of the Complex Eight-spacementioning

confidence: 99%

“…[50] He demonstrates that the principle of Poncaré invariance holds and that the useful Kerr metric comes out of this formalism, and is basic to the Einstein-Maxwell field equations. Solving the non-relativistic and relativistic forms Maxwell's equations in complex eight space, yields some new and testable predictions.…”

Section: Additional Consideration Of the Complex Eight Spacementioning

confidence: 99%

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Investigation of a Complex Space-Time Metric to Describe Precognition of the Future

Rauscher¹,

Targ²

2006

AIP Conference Proceedings

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Abstract.For more than 100 years scientists have attempted to determine the truth or falsity of claims that some people are able to describe and experience events or information blocked from ordinary perception. For the past 25 years, the authors of this paper -together with researchers in laboratories around the world -have carried out experiments in remote viewing. The evidence for this mode of perception, or direct knowing of distant events and objects, has convinced us of the validity of these claims. It has been widely observed that the accuracy and reliability of this sensory awareness does not diminish with either electromagnetic shielding, nor with increases in temporal or spatial separation between the percipient and the target to be described. Modern physics describes such a time-and-space independent connection between percipient and target as nonlocal.In this paper we present a geometrical model of space-time, which has already been extensively studied in the technical literature of mathematics and physics. This eight-dimensional metric is known as "complex Minkowski space," and has been shown to be consistent with our present understanding of the equations of Newton, Maxwell, Einstein, and Schrödinger. It also has the interesting property of allowing a connection of zero distance between points in the complex manifold, which appear to be separate from one another in ordinary observation. We propose a model that describes the major elements of experimental parapsychology, and at the same time is consistent with the present highly successful structure of modern physics.

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Section: Formalism Of the Complex Eight-spacementioning

confidence: 99%

Section: Additional Consideration Of the Complex Eight Spacementioning

confidence: 99%

Investigation of a Complex Space-Time Metric to Describe Precognition of the Future

Rauscher¹,

Targ²

2006

AIP Conference Proceedings

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“…This is developed in Penrose [17], and there is a new proof in [9]. C {null solution of Maxwell's equations}…”

Section: Circle ^^^^ Circlementioning

confidence: 99%

“…This is simply an embedding of P 2 (C) in F 2 since, if we fix one vector e u and let e 2 vary in a 3-dimensional subspace e, x perpendicular to ^, with respect to some metric on C 4 , then the span of {e l9 e 2 } will span all subspaces L 2 D L?. But the set of all such e 2 's span the set of all complex lines perpendicular to e i9 which is thus the same as the set of all complex lines in ef 9 and hence is isomorphic to P 2 (C).…”

Section: Proposition (1) R(p) Is a 2-complex-dimensional Projective mentioning

confidence: 99%