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  1. It is named after the authors Arvind Borde, Alan Guth and Alexander Vilenkin, who developed its mathematical formulation in 2003. The BGV theorem is also popular outside physics, especially in religious and philosophical debates.

  2. May 29, 2012 · In 2003, Tufts cosmologist Alexander Vilenkin and his colleagues, Arvind Borde, now a senior professor of mathematics at Long Island University, and Alan Guth, a professor of physics at MIT, proved a mathematical theorem showing that, under very general assumptions, the universe must, in fact, have had a beginning.

  3. Apr 12, 2020 · To address this question, Vilenkin joined forces with Guth and Long Island University mathematician Arvind Borde. Using a mathematical proof, they argued that any expanding universe like ours had to have a beginning. The thought experiment they posed went like this: Imagine a universe filled with particles.

    • Steve Nadis
  4. Oct 1, 2001 · Arvind Borde, Alan H. Guth, Alexander Vilenkin. Many inflating spacetimes are likely to violate the weak energy condition, a key assumption of singularity theorems.

    • Arvind Borde, Arvind Borde, Alan H. Guth, Alan H. Guth, Alexander Vilenkin
    • 2003
  5. The Borde-Guth-Vilenkin Theorem. T he obstruction may be found in the Borde-Guth-Vilenkin (BGV) theorem. 8 Loosely speaking, our theorem states that if the universe is, on average, expanding, then its history cannot be indefinitely continued into the past. More precisely, if the average expansion rate is positive along a given world line, or ...

    • Alexander Vilenkin
    • 2015
  6. May 23, 1994 · Abstract. It is shown that a physically reasonable spacetime that is eternally inflating to the future must possess an initial singularity. Received 28 October 1993. DOI: https://doi.org/10.1103/PhysRevLett.72.3305. ©1994 American Physical Society. Authors & Affiliations. Arvind Borde and Alexander Vilenkin.

  7. Guth has worked with Alex Vilenkin (Tufts) and Arvind Borde (Southampton College) to show that the inflating region of spacetime must have a past boundary, and that some new physics, perhaps a quantum theory of creation, would be needed to understand it.

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