Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • n. A n.-dimensional surface in a space (often a Euclidean space) of dimension n.+1

from The Century Dictionary and Cyclopedia

  • n. In space of n-dimensions, Sn, the aggregate of points whose co√∂rdinates satisfy a rational homogeneous equation with integral coefficients.

Etymologies

Sorry, no etymologies found.

Examples

  • The Weyl curvature is zero on both the future boundary and past boundary, hence the Big Bang is still well-defined in the cyclic model as the unique hypersurface on which the Weyl curvature vanishes.

    Archive 2009-05-01

  • Now, in an open or flat Friedmann-Robertson-Walker cosmological model with no cosmological constant, whilst the past 'Big-Bang' singularity corresponds to a spacelike hypersurface in the boundary of the conformal compactification, the future timelike infinity corresponds to a single point.

    Archive 2009-05-01

  • The far future of our universe is therefore representable by de Sitter space-time, and in this type of space-time the future timelike boundary is a spacelike hypersurface.

    Archive 2009-05-01

  • Found via Exporting the past into the future, or, "The Possibility Jelly lives on the hypersurface of the present" which in turn came via a tweet.

    Archive 2009-02-01

  • Given an initial condition on a time-like hypersurface as a mathematical model for the universe, we can determine in which direction a dynamics (supposed here to be deterministic, whether applied to a quantum or to a classical state) causes the entropy to increase or to decrease.

    Arrow of Time FAQ

  • On the monodromy theorem for isolated hypersurface singularities.

    RegEM « Climate Audit

  • Oh and BTW, the mind is a maximum hypersurface and thought a trajectory on it and the amygdala and hippocampus are Hopf maps of it.

    Mind Hacks: February 2006 Archives

  • The shock waves the hypersphere gave off were only "sound" along one surface (hypersurface?) of the concentrically expanding ripples of pressure.

    Orphans of Chaos

  • There are only six points on the hypersurface where the axis intersects it that form three-spheres.

    Orphans of Chaos

  • S** is moving so fast with respect to the tachyon source that the hypersurface becomes titled so much that the arrow points into the past below the hypersurface.

    Backward Causation

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