A note on the space-time frame of Eddington

1969 ◽  
Vol 65 (2) ◽  
pp. 531-534
Author(s):  
A. H. Klotz
Keyword(s):  
Time Frame ◽  
Space Time ◽  
Frame Of Reference ◽  
Fundamental Theory ◽  
Symmetry Properties

AbstractIt is shown that Eddington's Fundamental Theory admits only four basic operators. The symmetry properties and the reality conditions of the E-frame of reference are formulated in an abstract way.

scholarly journals The Space-Evolution Frame as an Alternative to Space-Time

2021 ◽  
Author(s):  
Xiaonan Du
Keyword(s):  
Proper Time ◽  
World Line ◽  
Time Frame ◽  
Line Length ◽  
Space Time ◽  
Dimensional Euclidean Space ◽  
Time Space ◽  
Minkowski Space Time ◽  
Spatial Dimensions ◽  
New Perspective

Abstract As an alternative to the Minkowski space-time frame, this paper proposes a four-dimensional Euclidean space that combines three spatial dimensions with proper time instead of time. We call this space evolution, in which proper time is interpreted as an evolutionary position and time is considered world line length and absolute. The space-evolution frame provides a new perspective for our understanding of time, space and special relativity. The new frame is self-consistent and compatible to spacial relativity, the Lorentz transform and its predictions could be derived geometrically by simple coordinate rotation.

Analyzing Active Volcanoes in Space and Time on Jupiter's Moon, Io

2020 ◽  
Author(s):  
◽  
Morghan Montez ◽  
Keyword(s):  
Near Infrared ◽  
Pattern Mining ◽  
Time Frame ◽  
Space Time ◽  
The Other ◽  
Time Pattern ◽  
Space And Time ◽  
Concurrent Study ◽  
Point Feature ◽  
Active Volcanoes

Jupiter's moon, Io, is the most volcanic planetary object in the solar system. Io's active volcanoes have only been previously studied independently in space and time, but not simultaneously. With using geographic information systems (GIS), the ArcGIS Pro software has tools in a toolbox called Space Time Pattern Mining that can analyze these active volcanoes in a concurrent study. In order to achieve a concurrent study, the project was constructed in two parts: analysis and visualizations. The analysis part involved using the tools in the Space Time Pattern Mining toolbox provided space-time aspects that would analyze the client􀂶s database. The client􀂶s database is data from the NASA􀂶s Galileo Near-Infrared Mapping Spectrometer (NIMS) instrument that was used in the Rathbun, Lopes, and Spencer (2018) publication. As for the visualization part, this part involved using 3-D symbology from the volcano point feature, to illustrate a time frame in days of the brightness (aka volcano eruption strength) on the Local Scene map and the Globe Scene map. Both parts of the project presented compelling results that identified and achieved in seeing significant clustering in space and time concurrently, along with seeing a particular part on Io that exhibited eruptions more frequently than the other part.

scholarly journals Strongly interacting dynamics beyond the standard model on a space–time lattice

2010 ◽  
Vol 368 (1924) ◽  
pp. 3657-3670 ◽  
Author(s):  
Biagio Lucini
Keyword(s):  
Standard Model ◽  
Finite Size ◽  
Higgs Sector ◽  
Chiral Condensate ◽  
Space Time ◽  
Low Energy ◽  
Beyond The Standard Model ◽  
Fundamental Theory ◽  
Strongly Interacting ◽  
The Standard Model

Strong theoretical arguments suggest that the Higgs sector of the standard model of electroweak interactions is an effective low-energy theory, with a more fundamental theory expected to emerge at an energy scale of the order of a teraelectronvolt. One possibility is that the more fundamental theory is strongly interacting and the Higgs sector is given by the low-energy dynamics of the underlying theory. I review recent works aimed at determining observable quantities by numerical simulations of strongly interacting theories proposed in the literature to explain the electroweak symmetry-breaking mechanism. These investigations are based on Monte Carlo simulations of the theory formulated on a space–time lattice. I focus on the so-called minimal walking technicolour scenario, an SU(2) gauge theory with two flavours of fermions in the adjoint representation. The emerging picture is that this theory has an infrared fixed point that dominates the large-distance physics. I shall discuss the first numerical determinations of quantities of phenomenological interest for this theory and analyse future directions of quantitative studies of strongly interacting theories beyond the standard model with lattice techniques. In particular, I report on a finite size scaling determination of the chiral condensate anomalous dimension γ , for which 0.05≤ γ ≤0.25.

Symmetry properties of Harrison space-times

1964 ◽  
Vol 60 (2) ◽  
pp. 259-263
Author(s):  
C. D. Collinson
Keyword(s):  
Abelian Subgroup ◽  
Space Time ◽  
Parameter Group ◽  
Symmetry Properties ◽  
Group Of Motions

AbstractAll possible symmetries of the non-degenerate Harrison space-times are found. It is shown that if such a space-time admits an r-parameter group of motions, with r > 1, then it must admit a 2-parameter Abelian subgroup.

SPATIAL, TEMPORAL, AND GLOBAL MODE ENTROPY IN A THALAMO–CORTICAL NETWORK

1993 ◽  
Vol 03 (06) ◽  
pp. 1487-1501 ◽  
Author(s):  
GENE V. WALLENSTEIN
Keyword(s):  
Cortical Neurons ◽  
Space Time ◽  
Time Behavior ◽  
Two Dimensional ◽  
Van Der Pol ◽  
Cortical Cells ◽  
Global Mode ◽  
Time Symmetry ◽  
Symmetry Properties ◽  
Cortical System

We employ an orthogonal decomposition technique with unique space–time symmetry properties to analyze a network of thalamo–cortical oscillators. A small number of thalamic "cells" are used to drive a network of cortical cells structured on a two-dimensional lattice. Two Bonhoeffer–van der Pol (BVP) based models of cortical neurons are compared at the network level in an attempt to reproduce some features of the thalamo–cortical system. It is shown that with the addition of a slowly varying term to the classical two-dimensional BVP model, the network can exhibit both periodic and irregular space–time behavior, along with changes in the temporal coherence and spatial frequency resembling the 8–12 Hz alpha rhythm.

scholarly journals The Fundamental Discussion between Newton, Maxwell, Bohr and Einstein

2021 ◽  
Author(s):  
Wim Vegt
Keyword(s):  
20Th Century ◽  
18Th Century ◽  
Albert Einstein ◽  
Time Frame ◽  
Space Time ◽  
Niels Bohr ◽  
Curved Space ◽  
Isaac Newton ◽  
Time Frames ◽  
Time Continuum

Isaac Newton, James Clerk Maxwell, Niels Bohr and Albert Einstein lived in fundamentally different time frames. Newton in the 16th century, Maxwell in the 18th century, Bohr in the 20th century and Einstein was physically living in the 20th century but he was his time far ahead and with his concept of a “curved space-time continuum” more connected to the 21st century. An interesting question would be: “Who would win the fundamental discussion about the interaction between “Gravity and Light” comparing the 4 fundamentally different time-frames? Newton, Maxwell, Bohr or Einstein? Newton with the fundamental “3rd law of equilibrium between the forces (force-densities)”. Maxwell who had built the “Mathematical Foundation for Electrodynamics”, Bohr (together with Heisenberg) who overruled Einstein during the 5th Solvay Conference in 1927 with the fundamental concept of “Quantum Mechanical Probability” or Einstein (his time-frame far ahead) who postulated a “Curved Space-Time Continuum” within a gravitational field. It is still the question who was right? Newton, Maxwell, Bohr or Einstein? This article will discuss the interaction between “Gravity and Light” based on a deductive discussion based on the fundamental arguments and way of thinking within that corresponding time-frame.

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