M-theory
Membrane theory is a relatively new theory in the world of physics. It has been backed by Stephen Hawking as being the only candidate for the complete theory of the universe.
M-theory has been growing very popular in recent years. This is because it ties together the existing string theories into one relatively simple (mathematically) depiction of the universe. The true origins start with the older string theories that came about in the 80’s. This outlined how all the different forms of energy in the universe could be constructed out of hypothetical one dimensional “strings”. The current M-theory now believes in an 11 dimensional space (this was previously 10 in earlier versions of string theories but the introduction of supergravity increased the count to 11). Now we live in a 3D space with a total of four observable dimensions meaning that there are another 5 we cannot detect. Now in string theory, it was hypothesised that depending on how the strings vibrate the might be seen in 3 dimensions as matter, light or gravity. The problem with string theory was that different equations used to describe the vibrations of the strings kept coming out and they all appeared to be correct. Then what happened was M-theory which said that it’s possible that all the equations are describing the same thing but from a different perspective.
My current understanding of M-theory is that there are lots of 2D membranes which are in an 11D space. These two dimensional branes are not fixed in this eleven dimensional space and move around. When they collide a new 2D brane is created and it is thought that when this happens it is similar to a Big Bang. So it’s entirely possible that out universe is really a 2D membrane in an 11D space.
The first image is a Calabi-Yau manifold. It’s a multi-dimensional mathematic structure and is very significant to M-theory, all they have to do is find the “right” one.
Yeah! Why not? 🐓
Red Spider Planetary Nebula
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No, tell the park rangers to calm down, it’s fine–I put a screen on the front. I just want to get the birds a little closer.
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The possibilities for the new field of two-dimensional, one-atomic-layer-thick materials, including but not limited to graphene, appear almost limitless. In new research, Penn State material scientists report two discoveries that will provide a simple and effective way to “stencil” high-quality 2D materials in precise locations and overcome a barrier to their use in next-generation electronics.
In 2004, the discovery of a way to isolate a single atomic layer of carbon – graphene – opened a new world of 2D materials with properties not necessarily found in the familiar 3D world. Among these materials are a large group of elements – transition metals – that fall in the middle of the periodic table. When atoms of certain transition metals, for instance molybdenum, are layered between two layers of atoms from the chalcogenide elements, such as sulfur or selenium, the result is a three-layer sandwich called a transition metal dichalcogenide. TMDs have created tremendous interest among materials scientists because of their potential for new types of electronics, optoelectronics and computation.
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magic.
Mathematical Spirals
According to Wikipedia, a spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point (similar to helices [plural for helix!] which are three-dimensional). Pictured above are some of the most important spirals of mathematics.
Logarithmic Spiral: Equation: r=ae^bθ. I must admit that these are my favorite! Logarithmic spirals are self-similar, basically meaning that the spiral maintains the same shape even as it grows. There are many examples of approximate logarithmic spirals in nature: the spiral arms of galaxies, the shape of nautilus shells, the approach of an insect to a light source, and more. Additionally, the awesome Mandelbrot set features some logarithmic spirals. Fun fact: the Fibonacci spiral is an approximation of the Golden spiral which is only a special case of the Logarithmic spiral.
Fermat’s Spiral: Equation: r= ±θ^(½). This is a type of Archimedean spiral and is also known as the parabolic spiral. Fermat’s spiral plays a role in disk phyllotaxis (the arrangement of leaves in a plant system).
Archimedean Spiral: Equation: r=a+bθ. The Archimedean spiral has the property that the distance between each successive turning of the spiral remains constant. This kind of spiral can have two arms (like in the Fermat’s spiral image), but pictured above is the one-armed version.
Hyperbolic Spiral: Equation: r=a/θ. It is also know as the reciprocal spiral and is the opposite of an Archimedian spiral. It begins at an infinite distance from the pole in the center (for θ starting from zero r = a/θ starts from infinity), and it winds faster and faster around as it approaches the pole; the distance from any point to the pole, following the curve, is infinite.
A good way to get an idea of what this is like is through water. Water has four different forms it could take depending on the conditions; frost, snow, ice and rime. Spontaneous symmetry breaking is sort of like this.
At the start of the big bang there was a single force which started off hot and as it expanded began to cool and in 1x10-46s (supposed to be scientific notation) gravity came into existence.
Now there is gravity and the force energy of the universe. This force energy then split into the strong nuclear force (SNF) at about 1x10-36s.
Then shorty after the massive inflation at 1x10-22s (where the universe expanded from about the size of a proton to that of a orange), the weak nuclear force and electromagnetic force (or electroweak force as we now know that they are the same) came into existence at the same time at 1x10-12s.
So from one force, in 1x10-12s all the different forces have fallen out.
In about 1x10-6 quark confinement would happen, from 3-20 minutes the nuclei would begin to form, there is still too much energy for the electrons to be bound to the nuclei. Atoms would not form for about 380,000 years.
Well this has been a brief and simple intro to spontaneous symmetry breaking, hope you guys liked it.