Oct 6, 2017 09:33 PM
Bach and the musical Möbius strip
https://plus.maths.org/content/topology-...bius-strip
EXCERPT: A musical score has basically two dimensions: pitch and time. In a one-voice musical text, for example, the pitch (which corresponds to the frequency) of a note is represented vertically, and performance time runs from left to right. So topologically a one-voice musical score is a two-dimensional strip. The horizontal (time) coordinate runs from start to finish; the vertical coordinate runs from lower pitches to higher pitches. [...] When a score has symmetry, the topology becomes more interesting....
Bach and the musical torus
https://plus.maths.org/content/bach-and-musical-torus
EXCERPT: Let's start by repeating some material from our previous article "Bach and the musical Möbius strip"....
Is gravity an illusion?
http://www.dailygalaxy.com/my_weblog/201...wrong.html
EXCERPT: "We have evidence that this new view of gravity actually agrees with the observations, " says Erik Verlinde, a Dutch theoretical physicist and string theorist. "At large scales, it seems, gravity just doesn't behave the way Einstein's theory predicts." The detection of gravitational waves (image above) scooped the 2017 Nobel physics prize. But Verlinde proposes a rather different theory --the theory of emergent gravity."Many theoretical physicists like me are working on a revision of the theory, and some major advancements have been made. We might be standing on the brink of a new scientific revolution that will radically change our views on the very nature of space, time and gravity."
[...] Einstein’s theory of General Relativity is elegant and accurate. [...] Yet if we use General Relativity to predict the motion of galaxies, we get the wrong answer. [...] The favored response to this is to invent a new form of so-called ‘dark’ matter. [...] But there may be another way. Perhaps General Relativity can be modified instead, to give a new theory, in which the motions of galaxies, and the structure of the universe, are correctly predicted, without the need for dark matter. Maybe even the accelerating expansion of the universe, another current conundrum of physics, can be explained in such a theory.
Perhaps dark matter is a mythical beast, a figment of our ignorance which will evaporate as we explore nature more thoroughly. [...] In 2010, Erik Verlinde surprised the world with a completely new theory of gravity. According to Verlinde, gravity is not a fundamental force of nature, but an emergent phenomenon. In the same way that temperature arises from the movement of microscopic particles, gravity emerges from the changes of fundamental bits of information, stored in the very structure of spacetime....
MORE: http://www.dailygalaxy.com/my_weblog/201...wrong.html
https://plus.maths.org/content/topology-...bius-strip
EXCERPT: A musical score has basically two dimensions: pitch and time. In a one-voice musical text, for example, the pitch (which corresponds to the frequency) of a note is represented vertically, and performance time runs from left to right. So topologically a one-voice musical score is a two-dimensional strip. The horizontal (time) coordinate runs from start to finish; the vertical coordinate runs from lower pitches to higher pitches. [...] When a score has symmetry, the topology becomes more interesting....
Bach and the musical torus
https://plus.maths.org/content/bach-and-musical-torus
EXCERPT: Let's start by repeating some material from our previous article "Bach and the musical Möbius strip"....
Is gravity an illusion?
http://www.dailygalaxy.com/my_weblog/201...wrong.html
EXCERPT: "We have evidence that this new view of gravity actually agrees with the observations, " says Erik Verlinde, a Dutch theoretical physicist and string theorist. "At large scales, it seems, gravity just doesn't behave the way Einstein's theory predicts." The detection of gravitational waves (image above) scooped the 2017 Nobel physics prize. But Verlinde proposes a rather different theory --the theory of emergent gravity."Many theoretical physicists like me are working on a revision of the theory, and some major advancements have been made. We might be standing on the brink of a new scientific revolution that will radically change our views on the very nature of space, time and gravity."
[...] Einstein’s theory of General Relativity is elegant and accurate. [...] Yet if we use General Relativity to predict the motion of galaxies, we get the wrong answer. [...] The favored response to this is to invent a new form of so-called ‘dark’ matter. [...] But there may be another way. Perhaps General Relativity can be modified instead, to give a new theory, in which the motions of galaxies, and the structure of the universe, are correctly predicted, without the need for dark matter. Maybe even the accelerating expansion of the universe, another current conundrum of physics, can be explained in such a theory.
Perhaps dark matter is a mythical beast, a figment of our ignorance which will evaporate as we explore nature more thoroughly. [...] In 2010, Erik Verlinde surprised the world with a completely new theory of gravity. According to Verlinde, gravity is not a fundamental force of nature, but an emergent phenomenon. In the same way that temperature arises from the movement of microscopic particles, gravity emerges from the changes of fundamental bits of information, stored in the very structure of spacetime....
MORE: http://www.dailygalaxy.com/my_weblog/201...wrong.html