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Space-Time Algebra in School and Application
Published in Dietmar Hildenbrand, Introduction to Geometric Algebra Computing, 2020
Inside the Geometric Algebra community there is a vivid discussion about how to implement Geometric Algebra and Space-Time Algebra at school and high school [56]. Martin E. Horn recently applied Space-Time Algebra at high school [43, 40, 41] and introductory courses at universities of applied sciences [42] for teaching special relativity with topics such as Time dilationTwin paradoxLength contractionLorentz transformation
Special relativity
Published in Andrew Norton, Dynamic Fields and Waves, 2019
The great advantage of knowing the Lorentz coordinate transformation is that it can be used to provide the correct answers to questions involving length and time measurements in a convenient and straightforward manner. Effects like time dilation and length contraction are built-in to the Lorentz transformation, so one no longer has to worry about being misled by intuition or common sense!
Fundamental Concepts and Quantities
Published in Shaheen A. Dewji, Nolan E. Hertel, Advanced Radiation Protection Dosimetry, 2019
The mean lifetime of particles assumes the particle is at rest. For particles that are traveling at a significant fraction of the speed of light, c, relativistic effects on time dilation (and length contraction) must be considered. These effects may become significant, for example, in particle accelerators and in cosmological studies.
Travelling light
Published in Journal of Modern Optics, 2021
Third, making formal definitions of words that already have a meaning in our mother tongue is generally a bad idea because, unless the mother-tongue meaning and the new meaning are clearly distinguished and kept apart, the result is ambiguity and confusion. Many presentations of the special theory of relativity suffer from such ambiguity and confusion because it is difficult to read or write these familiar time words without having thoughts and feelings that reflect their role in our mother tongue but are not supported by Einstein’s definitions. The mother-tongue meanings of these words and Einstein’s definitions of them get blurrily blended together in the minds of authors and readers alike. Indeed, as I explain in detail in my paper ‘Critique of the Einstein clock variable,’ all the famously counterintuitive claims of the special theory of relativity – the relativity of simultaneity, time dilation, length contraction, and so on – are due precisely to associating the familiar time words with the peculiar properties of a spatially sloping clock variable [1]. A much better option for a thinker who needs a term for a freshly minted concept is to invent a word or coin a novel phrase. Having done that, he can explain why he considers the new concept to be valuable and recommend it for general use. If a new concept has genuine value, that value can and should be explained without branding it with a familiar word.
Light propagation and local speed in the linear Sagnac effect
Published in Journal of Modern Optics, 2019
Gianfranco Spavieri, George T. Gillies, Espen Gaarder Haug, Arturo Sanchez
Students and researchers are routinely taught that Einstein has the merit of having introduced the relativistic effects of time dilation and length contraction, inherent to the LT. These relativistic effects are inherent to the LTA also and, representing the core of the theory, make possible the interpretation of the experiments supporting SR (7, 9, 10, 12, 14, 16, 19, 20). Thus, in a balance between Einstein and absolute synchronization, considering that with absolute synchronization the Sagnac effect and Selleri's paradox can be interpreted and solved without inconsistencies, the formulation of SR with absolute simultaneity appears to be an interesting approach that might stimulate new debate on an old topic. With absolute synchronization, SR reinstates conservation of simultaneity, but allows for all relativistic effects, including the relativity of time because of its dependence on the velocity, as expressed by the effect of time dilation. Therefore, it could be suggested that one possible research strategy, when faced with choosing either the LT or the LTA for developing a theory or a physical model, might consist of exploring how the theory or model is modified by adopting absolute instead of relative simultaneity. Most likely, this approach will lead to interesting new scenarios that can advance our knowledge of relativistic theories.