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Insuring existence of vacuum energy to keep computational “bits ” present at start of cosmological evolution, even if initial spatial radius goes to zero, not planck length... We also state that entanglement entropy not disappearing even if 4 dimensional length disappears is similar to the problem of a higher dimensional surface area at the tangential sheet intersecting a point of space-time, so that the presence of non zero entanglement entropy, embedded on an infinitesmally thick space-time thickness is the same as embedding the known 4 dimensional universe into a higher dimensional structure, as hypothesized by Steinhardt and Turok and Durrer

général - core.ac.uk - PDF: vixra.org

Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity... We show that any metrically thick space is not (strongly) relatively hyperbolic with respect to any non-trivial collection of subsets....

PDF: citeseerx.ist.psu.edu

Critical attractive spin systems... We also prove that the supercritical process survives with positive probability in a sufficiently thick space-time 'slab'....

PDF: citeseerx.ist.psu.edu

Pnp pin bipolar phototransistors for high-speed applications built in a 180nm cmos process ... This low doped p epitaxial layer leads to a thick space-charge region between base and collector and thus to a high −3dB bandwidth at low collector–emitter voltages....