scholarly journals Spacetime Symmetries and Classical Mechanics

Symmetry ◽  
2018 ◽  
Vol 11 (1) ◽  
pp. 22 ◽  
Author(s):  
T. Bertschinger ◽  
Natasha Flowers ◽  
Serena Moseley ◽  
Charlotte Pfeifer ◽  
Jay Tasson ◽  
...  

Physics students are rarely exposed to the style of thinking that goes into theoretical developments in physics until late in their education. In this work, we present an alternative to the traditional statement of Newton’s second law that makes theory questions accessible to students early in their undergraduate studies. Rather than a contrived example, the model considered here arises from a popular framework for testing Lorentz symmetry used extensively in contemporary experiments. Hence, this work also provides an accessible introduction to some key ideas in ongoing tests of fundamental symmetries in physics.

2019 ◽  
Vol 57 (2) ◽  
pp. 88-90 ◽  
Author(s):  
Vincent P. Coletta ◽  
Josh Bernardin ◽  
Daniel Pascoe ◽  
Anatol Hoemke

Strategies ◽  
2002 ◽  
Vol 16 (2) ◽  
pp. 7-11
Author(s):  
Deborah A. Stevens-Smith ◽  
Shelley W. Fones

2010 ◽  
Vol 56 (196) ◽  
pp. 333-338 ◽  
Author(s):  
Tsutomu Nakamura ◽  
Osamu Abe ◽  
Ryuhei Hashimoto ◽  
Takeshi Ohta

AbstractA new vibration apparatus for measuring the shear strength of snow has been designed and fabricated. The force applied to a snow block is calculated using Newton’s second law. Results from this apparatus concerning the dependence of the shear strength on snow density, overburden load and strain rate are in reasonable agreement with those obtained from the work of previous researchers. Snow densities ranged from 160 to 320 kg m−3. The overburden load and strain rate ranged from 1.95 × 10−1to 7.79 × 10−1kPa and 2.9 × 10−4to 9.1 × 10−3s−1respectively.


Author(s):  
N. Duke Perreira

Abstract The effort/motion approach has been developed for use in designing, simulating and controlling multibody systems. Some aspects of each of these topics are discussed here. In the effort/motion formulation two sets of equations based on the orthogonal projections of a dimensional gauge invariant form of Newton’s Second Law occur. The projections are onto the normal and tangent directions of a dimensional gauge invariant constraint surface. The paper shows how these equations are obtained for a particular linkage with redundant effort and motion actuation. Two alternative Runga-Kutta based approaches for numerical simulation of the effort/motion equations are developed and applied in simulating the motion and determining the effort generated in the example linkage under various conditions. Oscillation about equilibrium positions, solutions with constant motion and with constant effort are given as examples of the approach.


Author(s):  
Vlatko Vedral

In Chapter 9 we discussed the idea of a universal Turing machine. This machine is capable of simulating any other machine given sufficient time and energy. For example, we discussed how your fridge microprocessor could be programmed to run Microsoft Windows, then we described Moore’s logic, that computers are becoming faster and smaller. Therefore, one day, a single atom may be able to simulate fully what a present day PC can do. This leads us to the fascinating possibility that every little constituent of our Universe may be able to simulate any other, given enough time and energy. The Universe therefore consists of a great number of little universal quantum computers. But this surely makes the Universe itself the largest quantum computer. So how powerful is our largest quantum computer? How many bits, how many computational steps? What is the total amount of information that the computer can hold? Since our view is that everything in reality is composed of information, it would be useful to know how much information there is in total and whether this total amount is growing or shrinking. The Second Law already tells us that the physical entropy in the Universe is always increasing. Since physical entropy has the same form as Shannon’s information, the Second Law also tells us that the information content of the Universe can only ever increase too. But what does this mean for us? If we consider our objective to be a full understanding of the Universe then we have to accept that the finish line is always moving further and further away from us. We define our reality through the laws and principles that we establish from the information that we gather. Quantum mechanics, for example, gives us a very different reality to what classical mechanics told us. In the Stone Age, the caveman’s perception of reality and what was possible was also markedly different from what Newton would have understood. In this way we process information from the Universe to create our reality. We can think of the Universe as a large balloon, within which there is a smaller balloon, our reality.


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