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Alice Handle
In wormhole theory, a non-orientable wormhole is a wormhole connection that appears to reverse the chirality of anything passed through it. It is related to the "twisted" connections normally used to construct a Möbius strip or Klein bottle. In topology, this sort of connection is referred to as an Alice handle. Theory "Normal" wormhole connection Matt Visser has described a way of visualising wormhole geometry: # Take a "normal" region of space # "Surgically remove" spherical volumes from two regions ("spacetime surgery") # ''Associate'' the two spherical bleeding edges, so that a line attempting to enter one "missing" spherical volume encounters one bounding surface and then continues outward from the other. Although these instructions seem straightforward, there are two topologically distinct ways the two surfaces can be mapped to one another. If we draw a map of the Earth's surface onto one wormhole mouth, how does this map appear at the second mouth? For a "conventiona ...
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Fiddler Crab Mobius Strip
A fiddle is a bowed string musical instrument, most often a violin or a bass. It is a colloquial term for the violin, used by players in all genres, including classical music. Although in many cases violins and fiddles are essentially synonymous, the style of the music played may determine specific construction differences between fiddles and classical violins. For example, fiddles may optionally be set up with a bridge with a flatter arch to reduce the range of bow-arm motion needed for techniques such as the double shuffle, a form of bariolage involving rapid alternation between pairs of adjacent strings. To produce a ''brighter'' tone than the deep tones of gut or synthetic core strings, fiddlers often use steel strings. The fiddle is part of many traditional (folk) styles, which are typically aural traditions—taught " by ear" rather than via written music. Fiddling is the act of playing the fiddle, and fiddlers are musicians who play it. Among musical styles, fiddlin ...
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Charge (physics)
In physics, a charge is any of many different quantities, such as the electric charge in electromagnetism or the color charge in quantum chromodynamics. Charges correspond to the time-invariant generators of a symmetry group, and specifically, to the generators that commute with the Hamiltonian. Charges are often denoted by Q, and so the invariance of the charge corresponds to the vanishing commutator ,H0, where H is the Hamiltonian. Thus, charges are associated with conserved quantum numbers; these are the eigenvalues of the generator Q. A "charge" can also refer to a point-shaped object with an electric charge and a position, such as in the method of image charges. Abstract definition Abstractly, a charge is any generator of a continuous symmetry of the physical system under study. When a physical system has a symmetry of some sort, Noether's theorem implies the existence of a conserved current. The thing that "flows" in the current is the "charge"; the charge is the ...
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Wormhole Theory
A wormhole is a hypothetical structure that connects disparate points in spacetime. It can be visualized as a tunnel with two ends at separate points in spacetime (i.e., different locations, different points in time, or both). Wormholes are based on a special solution of the Einstein field equations. More precisely they are a transcendental bijection of the spacetime continuum, an asymptotic projection of the Calabi–Yau manifold manifesting itself in anti-de Sitter space. Wormholes are consistent with the general theory of relativity, but whether they actually exist is unknown. Many physicists postulate that wormholes are merely projections of a fourth spatial dimension, analogous to how a two-dimensional (2D) being could experience only part of a three-dimensional (3D) object. In 1995, Matt Visser suggested there may be many wormholes in the universe if cosmic strings with negative mass were generated in the early universe. Some physicists, such as Kip Thorne, have s ...
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Beyond Einstein (book)
''Beyond Einstein: The Cosmic Quest for the Theory of the Universe'' is a book by Michio Kaku, a theoretical physicist from the City College of New York, and Jennifer Trainer Thompson. It focuses on the development of superstring theory, which might become the unified field theory of the strong force, the weak force, electromagnetism and gravity. The book was initially published on February 1, 1987, by Bantam Books. Overview ''Beyond Einstein'' tries to explain the basics of superstring theory. Michio Kaku analyzes the history of theoretical physics and the struggle to formulate a unified field theory. He posits that the superstring theory might be the only theory that can unite quantum mechanics and general relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the differential geometry, geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of grav ... in one theo ...
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Michio Kaku
Michio Kaku (; ; born January 24, 1947) is an American theoretical physicist, Science communication, science communicator, futurologist, and writer of popular-science. He is a professor of theoretical physics at the City College of New York and the CUNY Graduate Center. Kaku is the author of several books about physics and related topics and has made frequent appearances on radio, television, and film. He is also a regular contributor to his own blog, as well as other popular media outlets. For his efforts to bridge science and science fiction, he is a 2021 Sir Arthur Clarke Award, Sir Arthur Clarke Lifetime Achievement Awardee. His books ''Physics of the Impossible'' (2008), ''Physics of the Future'' (2011), ''The Future of the Mind'' (2014), and The God Equation, ''The God Equation: The Quest for a Theory of Everything'' (2021) became The New York Times Best Seller list, ''New York Times'' best sellers. Kaku has hosted several television specials for the BBC, the Discovery Chan ...
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Mirror Life
Mirror life (also called mirror-image life) is a hypothetical form of life using mirror-reflected molecular building blocks. The possibility of mirror life was first discussed by Louis Pasteur. This alternative life form has never been discovered in nature, although certain mirror-image components of molecular machinery have been synthesized in the laboratory and, in principle, entire mirror organisms could be created. In December 2024, a broad coalition of scientists, including leading synthetic biology researchers and Nobel laureates, warned that the creation of mirror life, could cause "unprecedented and irreversible harm" to human health and ecosystems worldwide. The potential for mirror bacteria to escape immune defenses and invade natural ecosystems might lead to "pervasive lethal infections in a substantial fraction of plant and animal species, including humans." Given these risks, the scientists concluded that mirror organisms should not be created without compelling evi ...
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Orientability
In mathematics, orientability is a property of some topological spaces such as real vector spaces, Euclidean spaces, surfaces, and more generally manifolds that allows a consistent definition of "clockwise" and "anticlockwise". A space is orientable if such a consistent definition exists. In this case, there are two possible definitions, and a choice between them is an orientation of the space. Real vector spaces, Euclidean spaces, and spheres are orientable. A space is non-orientable if "clockwise" is changed into "counterclockwise" after running through some loops in it, and coming back to the starting point. This means that a geometric shape, such as , that moves continuously along such a loop is changed into its own mirror image . A Möbius strip is an example of a non-orientable space. Various equivalent formulations of orientability can be given, depending on the desired application and level of generality. Formulations applicable to general topological manifolds oft ...
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Global Geometry
Spacetime topology is the topological structure of spacetime, a topic studied primarily in general relativity. This physical theory models gravitation as the curvature of a four dimensional Lorentzian manifold (a spacetime) and the concepts of topology thus become important in analysing local as well as global aspects of spacetime. The study of spacetime topology is especially important in physical cosmology. Types of topology There are two main types of topology for a spacetime ''M''. Manifold topology As with any manifold, a spacetime possesses a natural manifold topology. Here the open sets are the image of open sets in \mathbb^4. Path or Zeeman topology ''Definition'':Luca Bombelli website
The topology \rho in which a subset E \subset M is

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CP Violation
In particle physics, CP violation is a violation of CP-symmetry (or charge conjugation parity symmetry): the combination of C-symmetry (charge conjugation symmetry) and P-symmetry ( parity symmetry). CP-symmetry states that the laws of physics should be the same if a particle is interchanged with its antiparticle (C-symmetry) while its spatial coordinates are inverted ("mirror" or P-symmetry). CP violation is only observed in the weak interaction. The discovery of CP violation in 1964 in the decays of neutral kaons resulted in the Nobel Prize in Physics in 1980 for its discoverers James Cronin and Val Fitch. CP violation was subsequently discovered in many other meson decays. In 2025, the LHCb experiment discovered CP violation in baryons. There is some evidence CP violation may occur in neutrino interactions. It is important to the matter-antimatter asymmetry problem, the strong CP problem, and in the study of weak interactions in particle physics. Under the CPT theorem, e ...
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Cheshire Cat
The Cheshire Cat ( ) is a fictional cat popularised by Lewis Carroll in ''Alice's Adventures in Wonderland'' and known for its distinctive mischievous grin. While now most often used in ''Alice''-related contexts, the association of a "Cheshire cat" with grinning predates the 1865 book. It has transcended the context of literature and become enmeshed in popular culture, appearing in various forms of media, from political cartoons to television, as well as in cross-disciplinary studies, from business to science. Often it is shown in the context of a person or idea that is purposefully confusing or enigmatic. One distinguishing feature of the ''Alice''-style Cheshire Cat is the periodic gradual disappearance of its body, leaving only one last visible trace: its iconic grin. He belongs to the Duchess. Origins The first known appearance of the expression in literature is in the 18th century, in Francis Grose's ''A Classical Dictionary of the Vulgar Tongue'', Second, Correct ...
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Through The Looking-Glass
''Through the Looking-Glass, and What Alice Found There'' is a novel published in December 1871 by Lewis Carroll, the pen name of Charles Lutwidge Dodgson, a mathematics lecturer at Christ Church, Oxford, Christ Church, University of Oxford. It was the sequel to his ''Alice's Adventures in Wonderland'' (1865), in which many of the characters were anthropomorphic Playing card, playing-cards. In this second novel the theme is chess. As in the earlier book, the central figure, Alice (Alice's Adventures in Wonderland), Alice, enters a fantastical world, this time by climbing through a large looking-glass (a mirror) into a world that she can see beyond it. There she finds that, just as in a reflection, things are reversed, including logic (for example, running helps one remain stationary, walking away from something brings one towards it, chessmen are alive and nursery-rhyme characters are real). Among the characters Alice meets are the severe Red Queen (Through the Looking-Glass), ...
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Lewis Carroll
Charles Lutwidge Dodgson (27 January 1832 – 14 January 1898), better known by his pen name Lewis Carroll, was an English author, poet, mathematician, photographer and reluctant Anglicanism, Anglican deacon. His most notable works are ''Alice's Adventures in Wonderland'' (1865) and its sequel ''Through the Looking-Glass'' (1871). He was noted for his facility with word play, logic, and fantasy. His poems ''Jabberwocky'' (1871) and ''The Hunting of the Snark'' (1876) are classified in the genre of literary nonsense. Some of Alice's nonsensical wonderland logic reflects his published work on mathematical logic. Carroll came from a family of high-church Anglicanism, Anglicans, and pursued his clerical training at Christ Church, Oxford, where he lived for most of his life as a scholar, teacher and (necessarily for his academic fellowship at the time) Anglican deacon. Alice Liddell – a daughter of Henry Liddell, the Dean of Christ Church, Oxford, Dean of Christ Church – is wide ...
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