Herglotz‐Noether Theorem in Conformal Space‐Time

1967 ◽  
Vol 8 (4) ◽  
pp. 919-919 ◽  
Author(s):  
Hugo D. Wahlquist ◽  
Frank B. Estabrook
Keyword(s):  
Space Time ◽  
Noether Theorem ◽  
Conformal Space

Gravitation and cosmic expansion in conformal space-time

1953 ◽  
Vol 49 (2) ◽  
pp. 285-291 ◽  
Author(s):  
Feza Gürsey ◽  
H. Bondi
Keyword(s):  
Steady State ◽  
Scalar Function ◽  
Space Time ◽  
Conformal Space ◽  
Newtonian Theory ◽  
Cosmic Expansion ◽  
Tensor Theory ◽  
Cosmological Problem ◽  
Theory Of Gravitation ◽  
State Universe

AbstractA simple theory of gravitation is formulated in conformal Riemannian space-time. The metric is determined by a scalar function which satisfies a linear equation. A conclusion in favour of Einstein's general tensor theory is drawn from a discussion of the corrections to the Newtonian theory for purely gravitational phenomena. Finally the theory is applied to the cosmological problem and especially to the possibility of a steady-state universe. The velocity-distance law is shown to be compatible with a constant uniform distribution of matter without the need of artificial assumptions.

Double conformal space-time algebra

2017 ◽  
Author(s):  
Robert Benjamin Easter ◽  
Eckhard Hitzer
Keyword(s):  
Space Time ◽  
Conformal Space

Spinorielle Feldtheorien und Noether-Theorem in der gekrümmten Raum-Zeit

1964 ◽  
Vol 19 (9) ◽  
pp. 1027-1031 ◽  
Author(s):  
Ernst Schmutzer
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Space Time ◽  
Point Of View ◽  
Coordinate Transformations ◽  
Noether Theorem ◽  
Metric Tensor ◽  
Curved Space ◽  
Spinor Fields ◽  
Tensor Expression

On the basis of a curved space-time with RIEMANNEAN geometry the conception of spinors is analyzed. It is shown that a consequent treatment of spinors as invariants with respect to coordinate transformations (SOMMERFELD’S first point of view) gives the well known energy-momentum-tensor and the correct spin integral. For this purpose it is necessary to develop NOETHER’S theorem in such a way that not the metric tensor gmn but the metric spintensor is the fundamental metrical quantity. This fact is the cause that the BELINFANTE tensor expression cannot be applied. A new tensor expression for spinor fields is derived. In this connection DIRAC’S theory and HEISENBERG’S theory are investigated.

Space, Time and Einstein

2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  
Space Time

Spinors and Space-Time

1984 ◽  
Author(s):  
Roger Penrose ◽  
Wolfgang Rindler
Keyword(s):  
Space Time

Do Writing Directions Influence How People Map Space onto Time?

2018 ◽  
Vol 77 (4) ◽  
pp. 173-184
Author(s):  
Wenxing Yang ◽  
Ying Sun
Keyword(s):  
Mental Representations ◽  
Space Time ◽  
Horizontal Axis ◽  
Causal Role ◽  
Writing Systems ◽  
Temporal Cognition ◽  
Japanese Speakers ◽  
Psychological Experiments ◽  
Vertical Up

Abstract. The causal role of a unidirectional orthography in shaping speakers’ mental representations of time seems to be well established by many psychological experiments. However, the question of whether bidirectional writing systems in some languages can also produce such an impact on temporal cognition remains unresolved. To address this issue, the present study focused on Japanese and Taiwanese, both of which have a similar mix of texts written horizontally from left to right (HLR) and vertically from top to bottom (VTB). Two experiments were performed which recruited Japanese and Taiwanese speakers as participants. Experiment 1 used an explicit temporal arrangement design, and Experiment 2 measured implicit space-time associations in participants along the horizontal (left/right) and the vertical (up/down) axis. Converging evidence gathered from the two experiments demonstrate that neither Japanese speakers nor Taiwanese speakers aligned their vertical representations of time with the VTB writing orientation. Along the horizontal axis, only Japanese speakers encoded elapsing time into a left-to-right linear layout, which was commensurate with the HLR writing direction. Therefore, two distinct writing orientations of a language could not bring about two coexisting mental time lines. Possible theoretical implications underlying the findings are discussed.

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