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This paper concerns the long term behaviour of a growth model describing a random sequential deposition of particles on a finite graph. The probability of allocating a particle at a vertex is proportional to a log-linear function of numbers…

Probability · Mathematics 2020-04-13 Mikhail Menshikov , Vadim Shcherbakov

If three right-handed neutrinos are added to the Standard Model, then, for the three known generations, there are six quarks and six leptons. It is then natural to assume that the symmetry considerations that have been applied to the quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 Per Osland , Tai Tsun Wu

The paper discusses a connection between asymmetric reproduction -- that is reproduction in a parent-child relationship where the parent does not mutate during reproduction --, the fact that all non-viral lifeforms bear genes of their…

Populations and Evolution · Quantitative Biology 2015-08-11 Norbert Michael Mayer

A simple argument based on an SU(3) gauged horizontal symmetry is presented that connects the explanation for three generations of matter with the existence of a triplet of right-handed neutrinos. This rationale for right-handed neutrinos…

High Energy Physics - Phenomenology · Physics 2009-11-10 Graham D. Kribs

Evidence for fine-tuning of physical parameters suitable for life can perhaps be explained by almost any combination of providence, coincidence or multiverse. A multiverse usually includes parts unobservable to us, but if the theory for it…

High Energy Physics - Theory · Physics 2007-05-23 Don N. Page

We consider implications of a fourth generation of leptons, allowing for the most general mass patterns for the fourth generation neutrino. We determine the constraints due to the precision electroweak measurements and outline the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Oleg Antipin , Matti Heikinheimo , Kimmo Tuominen

The well known Three Gap Theorem states that there are at most three gap sizes in the sequence of fractional parts $\{\alpha n\}_{n<N}$ . It is known that if one averages over {\alpha}, the distribution becomes continuous. We present an…

Number Theory · Mathematics 2015-12-01 Geremías Polanco , Daniel Schultz , Alexandru Zaharescu

I show how the symmetry-breaking of a recently proposed embedding of the standard model of particle physics in $E_8$ can be explained in terms of the representation theory of the binary tetrahedral group. This finite group provides a link…

General Physics · Physics 2023-01-30 Robert A. Wilson

Three-speed ballistic annihilation starts with infinitely many particles on the real line. Each is independently assigned either speed-$0$ with probability $p$, or speed-$\pm 1$ symmetrically with the remaining probability. All particles…

Probability · Mathematics 2018-06-04 Debbie Burdinski , Shrey Gupta , Matthew Junge

We updated the agent based Monte Carlo code HERITAGE that simulates human evolution within restrictive environments such as interstellar, sub-light speed spacecraft in order to include the effects of population genetics. We incorporated a…

Popular Physics · Physics 2021-02-03 F. Marin , C. Beluffi , F. Fischer

I shall present three arguments for the proposition that intelligent life is very rare in the universe. First, I shall summarize the consensus opinion of the founders of the Modern Synthesis (Simpson, Dobzhanski, and Mayr) that the…

Popular Physics · Physics 2015-05-13 Frank J. Tipler

An adult human body is made up of some 30 to 40 trillion cells, all of which stem from a single fertilized egg cell. The process by which the right cells appear to arrive in their right numbers at the right time at the right place --…

Subcellular Processes · Quantitative Biology 2024-12-20 Sean T. Vittadello , Léo Diaz , Yujing Liu , Adriana Zanca , Michael P. H. Stumpf

New dynamical mechanism of quark mass generations and mixing is demonstrated in the examples of three and four generations. In the framework of the new mixing pattern, called the coherent mixing, the CKM elements are predicted compatible…

High Energy Physics - Phenomenology · Physics 2011-05-05 Yu. A. Simonov

A simulation model of a population having internal (genetic) structure is presented. The population is subject to selection pressure coming from the environment which is the same in the whole system but changes in time. Reproduction has a…

Adaptation and Self-Organizing Systems · Physics 2012-08-31 Andrzej Pekalski , Marcel Ausloos

Stochastic models of sequential mutation acquisition are widely used to quantify cancer and bacterial evolution. Across manifold scenarios, recurrent research questions are: how many cells are there with $n$ alterations, and how long will…

Populations and Evolution · Quantitative Biology 2023-07-07 Michael D. Nicholson , David Cheek , Tibor Antal

Neural generative models can be used to learn complex probability distributions from data, to sample from them, and to produce probability density estimates. We propose a computational framework for developing neural generative models…

Machine Learning · Computer Science 2022-01-06 Alexander Ororbia , Daniel Kifer

If one goes backward in time, the number of ancestors of an individual doubles at each generation. This exponential growth very quickly exceeds the population size, when this size is finite. As a consequence, the ancestors of a given…

Biological Physics · Physics 2007-05-23 B. Derrida , S. C. Manrubia , D. H. Zanette

In this work of speculative science, scientists from a distant star system explain the emergence and consequences of triparentalism, when three individuals are required for sexual reproduction, which is the standard form of mating on their…

It is fair to say that the deepest mystery in our understanding of nature is the birth of our universe. Much of the dilemma over the last decades comes from the extraordinarily small probability that the universe started with the high…

High Energy Physics - Theory · Physics 2008-09-25 Laura Mersini-Houghton

Theoretical analysis proves that human survivability is dominated by an unusual physical, rather than biological, mechanism, which yields an exact law. The law agrees with all experimental data, but, contrary to existing theories, it is the…

Biological Physics · Physics 2009-11-07 Mark Ya. Azbel'