Time Dilation in Lorentzian and Modified Euclidean Metrics of Space–time

2021 ◽  
pp. 353-358
Author(s):  
Talal Al-Ameen ◽  
Imad Muhi
Keyword(s):  
Space Time ◽  
Time Dilation ◽  
Euclidean Metrics

scholarly journals Animal-oriented virtual environments: illusion, dilation, and discovery

F1000Research ◽  
2014 ◽  
Vol 3 ◽  
pp. 202
Author(s):  
Bradly Alicea
Keyword(s):  
Virtual Environments ◽  
Brain Activity ◽  
Emotional Valence ◽  
Space Time ◽  
Time Dilation ◽  
Neural Basis ◽  
Future Directions ◽  
And Behavior ◽  
And Training ◽  
Dilate Space

As a research tool, virtual environments (VEs) hold immense promise for brain scientists. Yet to fully realize this potential in non-human systems, theoretical and conceptual perspectives must be developed. When selectively coupled to nervous systems, virtual environments can help us better understand the functional architecture of animals’ brains during naturalistic behaviors. While this will no doubt allow us to further our understanding of the neural basis of behavior, there is also an opportunity to uncover the diversity inherent in brain activity and behavior. This is due to two properties of virtual environments: the ability to create sensory illusions, and the ability to dilate space and/or time. These and other potential manipulations will be characterized as the effects of virtuality. In addition, the systems-level outcomes of virtual environment enhanced perception will be discussed in the context of the uncanny valley and other expected relationships between emotional valence, cognition, and training. These effects and their usefulness for brain science will be understood in the context of three types of neurobehavioral phenomena: sensorimotor integration, spatial navigation, and interactivity. For each of these behaviors, a combination of illusory and space/time dilation examples will be reviewed. Once these examples are presented, the implications for improving upon virtual models for more directly inducing the mental phenomena of illusion and space/time dilation will be considered. To conclude, future directions for integrating the use of VEs into a strategy of broader biological inquiry will be presented.

The Sagnac and Hafele–Keating experiments: Two keys to the understanding of space–time physics in the vicinity of the Earth

2019 ◽  
Vol 34 (33) ◽  
pp. 1930014
Author(s):  
J. H. Field
Keyword(s):  
General Relativity ◽  
Light Propagation ◽  
Theoretical Calculations ◽  
Space Time ◽  
Time Dilation ◽  
Sagnac Effect ◽  
Preferred Frame ◽  
The Earth ◽  
Measured Time

The role of preferred frames for light propagation and time dilation in the region of a massive, spherical, gravitating bodies, where according to general relativity, space–time curvature is described by the Schwarzschild metric equation, is discussed in the context of the Sagnac effect (for light propagation) and the Hafele–Keating experiment (for time dilation). Predictions for both translational and rotational motion relative to the preferred frame are calculated up to order [Formula: see text]. Different published theoretical calculations of the Sagnac effect are critically reviewed. The conflation in the literature of measured time differences in Sagnac experiments (a classical order [Formula: see text] effect) and time dilation (a relativistic order [Formula: see text] effect) are also discussed.

scholarly journals Animal-oriented virtual environments: illusion, dilation, and discovery

F1000Research ◽  
2015 ◽  
Vol 3 ◽  
pp. 202 ◽  
Author(s):  
Bradly Alicea
Keyword(s):  
Virtual Environments ◽  
Brain Activity ◽  
Emotional Valence ◽  
Space Time ◽  
Time Dilation ◽  
Neural Basis ◽  
Future Directions ◽  
And Behavior ◽  
And Training ◽  
Dilate Space

As a research tool, virtual environments (VEs) hold immense promise for brain scientists. Yet to fully realize this potential in non-human systems, theoretical and conceptual perspectives must be developed. When selectively coupled to nervous systems, virtual environments can help us better understand the functional architecture of animals’ brains during naturalistic behaviors. While this will no doubt allow us to further our understanding of the neural basis of behavior, there is also an opportunity to uncover the diversity inherent in brain activity and behavior. This is due to two properties of virtual environments: the ability to create sensory illusions, and the ability to dilate space and/or time. These and other potential manipulations will be characterized as the effects of virtuality. In addition, the systems-level outcomes of virtual environment enhanced perception will be discussed in the context of the uncanny valley and other expected relationships between emotional valence, cognition, and training. These effects and their usefulness for brain science will be understood in the context of three types of neurobehavioral phenomena: sensorimotor integration, spatial navigation, and interactivity. For each of these behaviors, a combination of illusory and space/time dilation examples will be reviewed. Once these examples are presented, the implications for improving upon virtual models for more directly inducing the mental phenomena of illusion and space/time dilation will be considered. To conclude, future directions for integrating the use of VEs into a strategy of broader biological inquiry will be presented.

How to beat time dilation in flat space‐time

1990 ◽  
Vol 58 (11) ◽  
pp. 1108-1109 ◽  
Author(s):  
William D. Sears
Keyword(s):  
Flat Space ◽  
Space Time ◽  
Time Dilation

Quantum probe of space-time curvature

Science ◽  
2022 ◽  
Vol 375 (6577) ◽  
pp. 142-143
Author(s):  
Albert Roura
Keyword(s):  
Space Time ◽  
Atom Interferometer ◽  
Time Dilation ◽  
Quantum Phase

An atom interferometer measures the quantum phase due to gravitational time dilation

scholarly journals Derivation of general relativistic gravitational potential energy using principle of equivalence and gravitational time dilation

2021 ◽  
Author(s):  
Biswaranjan Dikshit
Keyword(s):  
General Relativity ◽  
Potential Energy ◽  
Gravitational Potential ◽  
Geometric Theory ◽  
Space Time ◽  
Time Dilation ◽  
Gravitational Potential Energy ◽  
Principle Of Equivalence ◽  
General Relativistic ◽  
Theory Of Gravity

Einstein’s theory of general relativity which has been experimentally proved to be true theory of gravity doesn’t need gravitational potential energy to predict trajectory of particles in space. This is because general relativity is a purely geometric theory. Objects move along the geodesics in the curved space-time. The energy-momentum tensor that warps the space-time as per Einstein’s field equations takes into account only the energy/momentum of matter and radiation. Thus, gravitational potential energy doesn’t come into picture in Einstein’s theory of gravity and its role is taken over by curvature of space-time. However, general relativistically correct expression for gravitational potential energy is required for energy conservation and some energy-based approaches in physics. Conventionally, correct form of gravitational potential energy is derived by using full mathematical formality of general relativity. In this paper, we describe an event by which we derive the same general relativistic expression for gravitational potential energy simply by using the principle of equivalence and gravitational time dilation.

scholarly journals Animal-oriented Virtual Environments: illusion, dilation, and discovery

2014 ◽  
Author(s):  
Bradly Alicea
Keyword(s):  
Virtual Environments ◽  
Brain Activity ◽  
Emotional Valence ◽  
Research Area ◽  
Space Time ◽  
Time Dilation ◽  
Neural Basis ◽  
Future Directions ◽  
And Behavior ◽  
And Training

As a research tool, virtual environments hold immense promise for brain scientists. Yet to fully realize this potential in non-human systems, theoretical and conceptual perspectives must be developed. When selectively coupled to nervous systems, virtual environments can help us better understand the functional architecture of animals’ brains during naturalistic behaviors. While this will no doubt allow us to further our understanding of the neural basis of behavior, there is also an opportunity to uncover the diversity inherent in brain activity and behavior. This is due to two properties of virtual environments: the ability to create sensory illusions, and the ability to dilate space and/or time. These and other potential manipulations will be characterized as the effects of virtuality. In addition, the systems-level outcomes of virtual environment-enhanced perception will be discussed in the context of the uncanny valley and other expected relationships between emotional valence, cognition, and training. These effects and their usefulness for brain science will be understood in the context of three types of neurobehavioral phenomena: sensorimotor integration, spatial navigation, and interactivity. For each of these behaviors, a combination of illusory and space/time dilation examples will be reviewed. Once these examples are presented, the implications for improving upon virtual models for more directly inducing the mental phenomena of illusion and space/time dilation will be considered. To conclude, future directions for integrating this research area into a strategy of broader biological inquiry will be presented.

scholarly journals Simulation of general relativistic shock wave interactions by a locally inertial Godunov method featuring dynamical time dilation

2012 ◽  
Vol 468 (2143) ◽  
pp. 1865-1883 ◽  
Author(s):  
Zeke Vogler ◽  
Blake Temple
Keyword(s):  
Shock Wave ◽  
Grid Cell ◽  
Wave Interaction ◽  
Space Time ◽  
Time Dilation ◽  
Godunov Method ◽  
Secondary Wave ◽  
Single Shock ◽  
Shock Wave Interaction ◽  
Dynamical Time

We introduce the locally inertial Godunov method with dynamical time dilation , and use it to give a definitive numerical simulation of a point of shock wave interaction in general relativity starting from a new initial dataset. Prior work of Groah and Temple justifies meeting the Einstein constraint equations for the initial data only at the weak level of Lipshitz continuity in the metric. The forward time simulations, presented here, resolve the secondary wave in the Smoller–Temple shock wave model for an explosion into a static, singular, isothermal sphere. The backward time solutions indicate black hole formation from a smooth solution via collapse associated with an incoming rarefaction wave. A new feature is that space–time is approximated as locally flat in each grid cell so that Riemann problems and the Godunov method can be implemented. Clocks are then dynamically dilated to simulate effects of space–time curvature. Such points of shock wave interaction are more singular than points on single shock surfaces because the coordinate systems that make space–time locally flat on single shock surfaces (Gaussian normal coordinates), break down at points of shock wave interaction.

scholarly journals Animal-oriented Virtual Environments: illusion, dilation, and discovery

2014 ◽  
Author(s):  
Bradly Alicea
Keyword(s):  
Virtual Environments ◽  
Brain Activity ◽  
Emotional Valence ◽  
Research Area ◽  
Space Time ◽  
Time Dilation ◽  
Neural Basis ◽  
Future Directions ◽  
And Behavior ◽  
And Training

As a research tool, virtual environments hold immense promise for brain scientists. Yet to fully realize this potential in non-human systems, theoretical and conceptual perspectives must be developed. When selectively coupled to nervous systems, virtual environments can help us better understand the functional architecture of animals’ brains during naturalistic behaviors. While this will no doubt allow us to further our understanding of the neural basis of behavior, there is also an opportunity to uncover the diversity inherent in brain activity and behavior. This is due to two properties of virtual environments: the ability to create sensory illusions, and the ability to dilate space and/or time. These and other potential manipulations will be characterized as the effects of virtuality. In addition, the systems-level outcomes of virtual environment-enhanced perception will be discussed in the context of the uncanny valley and other expected relationships between emotional valence, cognition, and training. These effects and their usefulness for brain science will be understood in the context of three types of neurobehavioral phenomena: sensorimotor integration, spatial navigation, and interactivity. For each of these behaviors, a combination of illusory and space/time dilation examples will be reviewed. Once these examples are presented, the implications for improving upon virtual models for more directly inducing the mental phenomena of illusion and space/time dilation will be considered. To conclude, future directions for integrating this research area into a strategy of broader biological inquiry will be presented.

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