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  2. Dark star (Newtonian mechanics) - Wikipedia

    en.wikipedia.org/wiki/Dark_star_(Newtonian...

    A dark star, therefore, has a rarefied atmosphere of "visiting particles", and this ghostly halo of matter and light can radiate, albeit weakly. Also as faster-than-light speeds are possible in Newtonian mechanics, it is possible for particles to escape. Radiation effects A dark star may emit indirect radiation as described above.

  3. Dark Star - Wikipedia

    en.wikipedia.org/wiki/Dark_Star

    Dark star (Newtonian mechanics), a star that has a gravitational pull strong enough to trap light under Newtonian gravity Dark star (dark matter), a star heated by annihilation of dark matter particles within it

  4. Dark star (dark matter) - Wikipedia

    en.wikipedia.org/wiki/Dark_star_(dark_matter)

    In April 2023, a study investigated four extremely redshifted objects discovered by the James Webb Space Telescope. [5] Their study suggested that three of these four, namely JADES-GS-z13-0, JADES-GS-z12-0, and JADES-GS-z11-0, are consistent with being point sources, and further suggested that the only point sources which could exist in this time and be bright enough to be observed at these ...

  5. Dark-energy star - Wikipedia

    en.wikipedia.org/wiki/Dark-energy_star

    [3] Furthermore, 'primordial' dark-energy stars could form by fluctuations of spacetime itself, which is analogous to "blobs of liquid condensing spontaneously out of a cooling gas". This not only alters the understanding of black holes, but has the potential to explain the dark energy and dark matter that are indirectly observed.

  6. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.

  7. Dark radiation - Wikipedia

    en.wikipedia.org/wiki/Dark_radiation

    Dark radiation (also dark electromagnetism) [1] is a postulated type of radiation that mediates interactions of dark matter.. By analogy to the way photons mediate electromagnetic interactions between particles in the Standard Model (called baryonic matter in cosmology), dark radiation is proposed to mediate interactions between dark matter particles. [1]

  8. Lambert's cosine law - Wikipedia

    en.wikipedia.org/wiki/Lambert's_cosine_law

    The number of photons per second emitted into the wedge at angle θ is I cos(θ) dΩ dA. Figure 2 represents what an observer sees. The observer directly above the area element will be seeing the scene through an aperture of area dA 0 and the area element dA will subtend a (solid) angle of d Ω 0 , which is a portion of the observer's total ...

  9. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    Substituting r(cos θ + i sin θ) for e ix and equating real and imaginary parts in this formula gives ⁠ dr / dx ⁠ = 0 and ⁠ dθ / dx ⁠ = 1. Thus, r is a constant, and θ is x + C for some constant C. The initial values r(0) = 1 and θ(0) = 0 come from e 0i = 1, giving r = 1 and θ = x.