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Foundations, Volume 4, Issue 2

June 2024 - 10 articles

Cover Story: In this work, it is suggested that the common cause for development of power laws is the existence of a suitable exchangeable quantity between the agents of a set. Examples of such quantities, leading to eponymous power laws, include money (Pareto’s Law), scientific knowledge (Lotka’s Law), people (Auerbach’s Law), written or verbal information (Zipf’s Law), but also less common cases like water vapor between pores formed in solids. This case is examined closely in the present article. It is shown that the transferred mass between pores, which eventually grow towards a power law, may be expressed using different parameters, like transferred surface area or volume, or pore length or transferred pore anisotropy. These distinctions lead to power laws of variable strength reflected in the corresponding exponents that depend on the spread of frequency distribution of the examined parameter. View this paper
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Articles (10)

  • Article
  • Open Access
2 Citations
7,560 Views
18 Pages

Quantum Brain Dynamics: Optical and Acoustic Super-Radiance via a Microtubule

  • Akihiro Nishiyama,
  • Shigenori Tanaka and
  • Jack A. Tuszynski

We aim to derive a super-radiance solution of coherent light and sound waves involving water degrees of freedom in the environment of a microtubule. We introduce a Lagrangian density functional of quantum electrodynamics with non-relativistic charged...

  • Article
  • Open Access
2 Citations
1,948 Views
15 Pages

Alkaline–surfactant–polymer (ASP) flooding by means of which alkali additives, surfactant and polymer are inserted as the same slug is one of the most favourable worldwide focuses of Chemical Enhanced Oil Recovery (cEOR) research and fiel...

  • Article
  • Open Access
1,312 Views
14 Pages

The Covariety of Saturated Numerical Semigroups with Fixed Frobenius Number

  • José Carlos Rosales and
  • María Ángeles Moreno-Frías

In this work, we show that if F is a positive integer, then Sat(F)={S∣S is a saturated numerical semigroup with Frobenius number F} is a covariety. As a consequence, we present two algorithms: one that computes Sat(F), and another which compute...

  • Review
  • Open Access
5 Citations
2,343 Views
24 Pages

This work reviews a range of fundamental theoretical considerations in pore structural characterisation. The pore concept is essential for providing a better understanding of physical processes arising within porous media than purely phenomenological...

  • Article
  • Open Access
1,497 Views
20 Pages

This paper introduces an efficient computational procedure for analyzing the propagation of harmonic waves in layered elastic media. This offers several advantages, including the ability to handle arbitrary frequencies, depths, and the number of laye...

  • Article
  • Open Access
3 Citations
3,294 Views
30 Pages

There is a fundamental subsets–partitions duality that runs through the exact sciences. In more concrete terms, it is the duality between elements of a subset and the distinctions of a partition. In more abstract terms, it is the reverse-the-ar...

  • Article
  • Open Access
2,008 Views
19 Pages

Exchangeable Quantities and Power Laws: Τhe Case of Pores in Solids

  • Antigoni G. Margellou and
  • Philippos J. Pomonis

23 April 2024

In this work we suggest that the common cause for the development of various power laws is the existence of a suitable exchangeable quantity between the agents of a set. Examples of such exchangeable quantities, leading to eponymous power laws, inclu...

  • Article
  • Open Access
1 Citations
1,384 Views
12 Pages

28 March 2024

This article considers the Dirac field in polar formulation and shows that when torsion is taken in effective approximation the theory has the thermodynamic properties of a van der Waals gas. It is then shown that in the limit of zero chiral angle th...

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Foundations - ISSN 2673-9321