Related papers: Was There a Beginning?
This note is the follow up to a paper by M. Waldschmidt.
We give a proof of a result of Bonet, Engli\v{s} and Taskinen filling in several details and correcting some flaws.
How did it all begin? Although this question has undoubtedly lingered for as long as humans have walked the Earth, the answer still eludes us. Yet since my grandparents were born, scientists have been able to refine this question to a…
This note is a somewhat-lighthearted comment on a recent paper by David Wallace, arXiv:0906.2718[quant-ph] entitled "A formal proof of the Born rule from decision-theoretic assumptions".
New cases of the multiplicity conjecture are considered.
This is a reply to a comment by P. Schlottmann and A.A. Zvyagin.
As a result of discussions with Bousso and Vilenkin I want to return to the question of whether the multiverse is past-eternal or if there was a beginning. Not surprisingly, given three people, there were three answers. However, the…
In this brief essay we consider the concept of beginning in cosmology. It can be applied to the Universe as a whole, as well as to various epochs in the cosmic history and major structures as we can see them today.
Remarks on mathematical proof and the practice of mathematics.
Reply to Bernevig, Giuliano, and Laughlin: cond-mat/0410147
In this note we answer a question of Kunen (15.13 [Mi91]) showing that it is consistent that there are full Souslin trees
Invited contribution to the collective book "The Birth of String Theory"
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.
These are some notes on the two Milnor conjectures and their proofs (due to Voevodsky, Orlov-Vishik-Voevodsky, and Morel).
In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.
We introduce a new criterion which if satisfied implies the Riemann hypothesis.
In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.
This note presents an interesting counterexample to a basic covering problem.
The question of cosmic beginning has always attracted considerable attention from serious thinkers past and present. This article examines Ibn Sina's proposed solution to the vexed problem that given an eternally existing world and one…
The paper presents a counterexample to the Hodge conjecture.