Complex space–time source-point method for propagation of a pulsed beam in slowly varying stratified media

1988 ◽  
Vol 5 (11) ◽  
pp. 1893 ◽  
Author(s):  
A. Schatzberg ◽  
P. D. Einziger ◽  
S. Raz
Keyword(s):  
Complex Space ◽  
Space Time ◽  
Point Method ◽  
Stratified Media ◽  
Source Point

A multi-element cosmological model with a complex space-time topology

2015 ◽  
Vol 59 (2) ◽  
pp. 89-99 ◽  
Author(s):  
N. S. Kardashev ◽  
L. N. Lipatova ◽  
I. D. Novikov ◽  
A. A. Shatskiy
Keyword(s):  
Cosmological Model ◽  
Complex Space ◽  
Space Time

Space–Time Configurations of Youth-Voice Driven Science Practices: Insights into Local and Global Mobilities

2014 ◽  
Vol 116 (14) ◽  
pp. 445-464
Author(s):  
Jrène Rahm
Keyword(s):  
Science Education ◽  
Complex Space ◽  
Informal Science Education ◽  
Space Time ◽  
Informal Science ◽  
Youth Voice ◽  
Field Of Study ◽  
Science Practices ◽  
Emergent Phenomenon

The chapter explores the space–time configuration of youth-voice driven science practices outside of school that are part of an emergent field of study known as informal science education (ISE). Education is an emergent phenomenon grounded in a relational geography of youths’ complex space–time configurations. A focus on youths’ mobilities offers new insights into the manner youth contribute to their own learning and becoming.

Predictions of national‐scale river temperatures: A visualisation of complex space–time dynamics

2020 ◽  
Vol 34 (12) ◽  
pp. 2823-2825 ◽  
Author(s):  
Faye L. Jackson ◽  
Robert J. Fryer ◽  
David M. Hannah ◽  
Iain A. Malcolm
Keyword(s):  
Complex Space ◽  
Space Time ◽  
National Scale ◽  
Time Dynamics

Complex geometry of space–time motivated by gravity’s rainbow

2019 ◽  
Vol 97 (5) ◽  
pp. 558-561
Author(s):  
Faizan Bhat ◽  
Mussadiq H. Qureshi ◽  
Manzoor A. Malik ◽  
Asif Iqbal
Keyword(s):  
Imaginary Part ◽  
Complex Space ◽  
Complex Geometry ◽  
Planck Scale ◽  
Space Time ◽  
Low Energy ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Energy Approximation ◽  
Planck Energy

In this paper, we generalize the formalism of gravity’s rainbow to complex space–time. The resulting geometry depends on the energy of the probe in such a way that the usual real manifold is the low energy approximation of the Planck scale geometry of space–time. So, our formalism agrees with all the observational data about our space–time being real, as at the scale these experiments are preformed, the imaginary part of the geometry is suppressed by Planck energy. However, the imaginary part of the geometry becomes important near the Planck energy, and so it cannot be neglected near the Planck scale. So, the Planck scale geometry of space–time is described by a complex manifold.

scholarly journals SCHWINGER'S RESULT ON PARTICLE PRODUCTION FROM COMPLEX PATHS WKB APPROXIMATION

2000 ◽  
Vol 15 (23) ◽  
pp. 3717-3731 ◽  
Author(s):  
S. BISWAS ◽  
A. SHAW ◽  
B. MODAK
Keyword(s):  
Electric Field ◽  
Particle Production ◽  
Complex Space ◽  
Space Time ◽  
Wkb Approximation ◽  
Uniform Electric Field ◽  
Gauge Invariant ◽  
Transmission Coefficients ◽  
Loop Approximation ◽  
Complex Trajectory

This paper presents the derivation of Schwinger's gauge-invariant result of Im ℒ eff up to one loop approximation, for particle production in an uniform electric field through the method of complex trajectory WKB approximation (CWKB). The CWKB proposed by one of the authors1 looks upon particle production as being due to the motion of a particle in complex space–time plane, thereby requiring tunneling paths both in space and time. Recently2,3 there have been some efforts to calculate the reflection and the transmission coefficients for particle production in an uniform electric field that differ from our expressions for the same. In this paper we clarify the confusion in this regard and establish the correctness of CWKB.

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