Finsler spaces and the underlying geometry of space-time

1985 ◽  
Vol 112 (1-2) ◽  
pp. 23-25 ◽  
Author(s):  
R.K. Tavakol ◽  
N. Van Den Bergh
2018 ◽  
Vol 33 (30) ◽  
pp. 1850183 ◽  
Author(s):  
B. G. Sidharth ◽  
Abhishek Das

In this paper, we investigate the possibility of superluminal velocities and the appertaining underlying geometry. We consider three different approaches and arrive at the same status quo.


2018 ◽  
Vol 15 (03) ◽  
pp. 1850039 ◽  
Author(s):  
Panayiotis C. Stavrinos ◽  
Maria Alexiou

In this work, we obtain the Raychaudhuri equations for various types of Finsler spaces as the Finsler–Randers (FR) space-time and in a generalized geometrical structure of the space-time manifold which contains two fibers that represent two scalar fields [Formula: see text]. We also derive the Klein–Gordon equation for this model. In addition, the energy conditions are studied in a FR cosmology and are correlated with FRW model. Finally, we apply the Raychaudhuri equation for the model [Formula: see text], where M is a FRW-space-time.


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

Author(s):  
Roger Penrose ◽  
Wolfgang Rindler
Keyword(s):  

2018 ◽  
Vol 77 (4) ◽  
pp. 173-184
Author(s):  
Wenxing Yang ◽  
Ying Sun

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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