Related papers: Was There a Beginning?

This note is devotes to some remarks regarding the use of variational methods, of minimax type, to establish continuity type results

We improve constants in the Rademacher-Menchov inequality.

If our universe has appeared in a result of Big Bang or something like this, whether we have reasons to deny an existence of other universes appearing by the same or similar way? An objection that there is no anything like it, is doubtful,…

We prove a conjecture on Rubin-Stark elements, which was recently proposed by the author, and also by Mazur and Rubin, in a special case.

Theory of $n$-complements with applications is presented.

Are symmetries discovered or rather invented by humans ? The stand you may take firmly here reveals a lot of your epistemological position. Conversely, the arguments you may forge for answering to this question, or to one of its numerous…

In order to ground my approach to the study of paranormal phenomena, I first explain my operational approach to physics, and to the ``historical'' sciences of cosmic, biological, human, social and political evolution. I then indicate why I…

We analyze a number of properties obligations have or should have.

Some of the theoretical motivations and experimental developments leading to the discovery of charm are recalled.

In this note we prove a weighted version of the Khintchine inequalities.

The present note refers to a result proposed in [Elhadj and Sprott, 2012], and shows that the Theorem therein is not correct. We explain that a proof of that Theorem cannot be given, as the statement is not correct, and we underline a…

This is a collection of variants of Schanuel's conjecture and the known dependencies between them. It was originally written in 2007, and made available for a time on my webpage. I have been asked by a few people to make it available again…

We start from the well-known form of the interval of the special relativity, stare it, and build up an attempt to implement the causality from it. Some features appear to be new, they involve the mass of the particle and the structure of…

We prove that any finitely generated one ended group has linear end depth. Moreover, we give alternative proofs to theorems relating the growth of a finitely generated group to the number of its ends.

It is argued that all notions associated with the origin of life should be related with the participatory anthropic principle of Wheeler and must be extended into the realm of the multiverse. Also discussed is the notion that life can only…

L. E. Ballentine's remarks in Physics Today about the QBist interpretation of quantum mechanics are generally wide of the mark.

We clarify a number of points raised in [Matias, arXiv:cond-mat/0507471v2 (2005)].

In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.

In this note, we derive a Leibniz rule for difference quotient.

Here we give a short survey of our new results. References to the complete proofs can be found in the text of this article and in the litterature.