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  2. Five-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Five-dimensional_space

    Therefore, the geometry of the 5th dimension studies the invariant properties of such space-time, as we move within it, expressed in formal equations. [11] Fifth dimensional geometry is generally represented using 5 coordinate values (x,y,z,w,v), where moving along the v axis involves moving between different hyper-volumes .

  3. Bose–Einstein condensate - Wikipedia

    en.wikipedia.org/wiki/Bose–Einstein_condensate

    Einstein was impressed, translated the paper himself from English to German and submitted it for Bose to the Zeitschrift für Physik, which published it in 1924. [5] (The Einstein manuscript, once believed to be lost, was found in a library at Leiden University in 2005. [6]) Einstein then extended Bose's ideas to matter in two other papers.

  4. Harmonic coordinates - Wikipedia

    en.wikipedia.org/wiki/Harmonic_coordinates

    The essential point is that their geometric assumptions, via some of the results discussed below on harmonic radius, give good control over harmonic coordinates on regions near infinity. By the use of a partition of unity, these harmonic coordinates can be patched together to form a single coordinate chart, which is the main objective. [19]

  5. List of scientific publications by Albert Einstein - Wikipedia

    en.wikipedia.org/wiki/List_of_scientific...

    Einstein's scientific publications are listed below in four tables: journal articles, book chapters, books and authorized translations. Each publication is indexed in the first column by its number in the Schilpp bibliography (Albert Einstein: Philosopher–Scientist, pp. 694–730) and by its article number in Einstein's Collected Papers.

  6. Bose gas - Wikipedia

    en.wikipedia.org/wiki/Bose_gas

    The thermodynamics of an ideal Bose gas is best calculated using the grand canonical ensemble.The grand potential for a Bose gas is given by: = ⁡ = ⁡ (). where each term in the sum corresponds to a particular single-particle energy level ε i; g i is the number of states with energy ε i; z is the absolute activity (or "fugacity"), which may also be expressed in terms of the chemical ...

  7. Fifth force - Wikipedia

    en.wikipedia.org/wiki/Fifth_force

    One way to search for a fifth force is with tests of the strong equivalence principle, one of the most powerful tests of general relativity, also known as Einstein's theory of gravity. Alternative theories of gravity, such as Brans–Dicke theory , postulate a fifth force — possibly one with infinite range.

  8. Dying To Be Free - The Huffington Post

    projects.huffingtonpost.com/dying-to-be-free...

    The last image we have of Patrick Cagey is of his first moments as a free man. He has just walked out of a 30-day drug treatment center in Georgetown, Kentucky, dressed in gym clothes and carrying a Nike duffel bag.

  9. Quantization of the electromagnetic field - Wikipedia

    en.wikipedia.org/wiki/Quantization_of_the...

    The second quantized treatment of the one-dimensional quantum harmonic oscillator is a well-known topic in quantum mechanical courses. We digress and say a few words about it. The harmonic oscillator Hamiltonian has the form = († +)