Algebra of physical space and the geometric spacetime solution of Dirac's equation

2012 ◽  
Vol 112 (24) ◽  
pp. 3722-3728 ◽  
Author(s):  
Burke Ritchie ◽  
Charles A. Weatherford
2008 ◽  
Vol 86 (4) ◽  
pp. 629-634
Author(s):  
W E Baylis ◽  
J D Keselica

A promising approach to the quantum/classical interface is described. It is based on a formulation of relativistic classical mechanics in the Clifford algebra of physical space. Spinors and projectors arise naturally and provide powerful tools for solving problems in classical electrodynamics. They also reproduce many quantum results, allowing insight into quantum processes.PACS Nos.: 03.65.Ca, 03.65.Ta, 04.20.Gz, 02.10.Xm


2020 ◽  
Vol 10 (2) ◽  
pp. 151-173
Author(s):  
Min-Su Jung ◽  
◽  
Hang-Bae Chang
Keyword(s):  

2018 ◽  
Vol 12 (1) ◽  
pp. 26-36 ◽  
Author(s):  
Richard B. Apgar

As destination of choice for many short-term study abroad programs, Berlin offers students of German language, culture and history a number of sites richly layered with significance. The complexities of these sites and the competing narratives that surround them are difficult for students to grasp in a condensed period of time. Using approaches from the spatial humanities, this article offers a case study for enhancing student learning through the creation of digital maps and itineraries in a campus-based course for subsequent use during a three-week program in Berlin. In particular, the concept of deep mapping is discussed as a means of augmenting understanding of the city and its history from a narrative across time to a narrative across the physical space of the city. As itineraries, these course-based projects were replicated on site. In moving from the digital environment to the urban landscape, this article concludes by noting meanings uncovered and narratives formed as we moved through the physical space of the city.


1997 ◽  
Vol 28 (1) ◽  
pp. 15-28
Author(s):  
Hiroyuki SHIBUSAWA
Keyword(s):  

ARCHALP ◽  
2018 ◽  
pp. 66-75
Author(s):  
Antonio De Rossi ◽  
Roberto Dini

The contemporary architectural production in the Alps of Piedmont has to be studied taking into consideration the contrasting phenomena of depopulation and tourism that have involved the mountain areas of the region during last century. In the fifties and sixties the percentage of abandonment of the high valleys reaches even 80-90%. Entire communities move to industrial urban centers in the cities on the plain. On the other side we witness to a strong polarization of the winter stations that become real “banlieues blanches” for the free time of the citizens and where the architecture of alpine modernism, with various forms, shapes. The paradox nowadays is that the rarefaction of abandoned and depopulated territories is necessary to force to start and choose new innovative paths. We witness a contemporary situation with different shades: on one side the well-established touristic territories that need projects to promote the redevelopment and diversification, on the other side the marginal places where are rising new visions are practices of reactivation of the territory in which architecture is fundamental. The topic of quality of the construction of the physical space intersects with the regeneration of places on a cultural basis, new agriculture and green economy, innovative development of the patrimony, sustainable tourism, with inclusive and participative paths of nature, by giving new meanings to places and building new economies and identities.


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