In this article we show that quantum physics is a straightforward and
comprehensive consequence of the model of discrete space-time that we have put
forward in [1]. We first introduce the concept of coherent
domains and give a proof of the various postulates and principles that form the
basis of one-particle quantum systems. Then we consider how spin-statistic
theorem and the formalism of second quantization, that are prerequisites for a
description of many-particles systems, emerge from the model. Finally the same
framework suggests the idea of rigid histories which allows an interpretation
of quantum entanglement to be proposed.

We see the whole universe as a collection of very simple binary physical
systems. With this assumption, we put forward a detailed model of discrete
spaces. Our own universe with its four dimensions, shared between one time-like
dimension and three space-like dimensions, as well as the Minkowski metrics,
are emerging properties of the model.

Abstract:
This contribution is the third of a series of articles devoted to the
physics of discrete spaces. After the building of space-time [1] and the foundation of quantum theory [2] one studies here how the three fundamental
interactions could emerge from the model of discrete space-time that we have
put forward in previous contributions. The gauge interactions are recovered. We
also propose an original interpretation of gravitational interactions.

Abstract:
We show that the model of discrete spaces that we have
proposed in previous contributions gives a comprehensive and detailed interpretation
of the properties of the standard model of particles. Moreover the model also suggests
the possible existence of a non-standard family of particles.

Abstract:
This article is an application of the theory of discrete spaces to cosmology. Its conclusions are necessarily speculative. An interesting aspect is that it gives possible solutions to many pending problems within a unique framework. Let us cite a scenario for the Big-Bang that avoids any initial mathematical singularity, an interpretation of dark matter that does not involve any hadronic matter, a description of the formation of stellar and galactic black holes and, for the later, a description of quasars, their characteristics and their source of energy. Finally dark energy is also given an interpretation through modifications of the laws of gravity.

Abstract:
We consider the possibility of obtaining emergent properties of physical spaces endowed with structures analogous to that of collective models put forward by classical statistical physics. We show that, assuming that a so-called "metric scale" does exist, one can indeed recover a number of properties of physical spaces such as the Minkowski metric, the relativistic quantum dynamics and the electroweak theory.

Abstract:
We show that the model of discrete spaces that we have proposed in previous contributions gives a comprehensive and detailed interpretation of the properties of the standard model of particles. Moreover the model also suggests the possible existence of a new family of particles.

Abstract:
In this contribution we use the model of discrete spaces that we have put forward in former articles to give an interpretation to the phenomena of quantum entanglement and quantum states reduction that rests upon a new way of considering space and time.

Abstract:
We put forward a model of discrete physical space that can account for the structure of space- time, give an interpretation to the postulates of quantum mechanics and provide a possible explanation to the organization of the standard model of particles.

Abstract:
The artefact density in an archaeological deposit provides a direct record of the concentrating and dispersing effects of various formation processes. 2D density analyses have frequently been processed, especially through the topological properties of the Geographical Information System. Nevertheless, the resulting 2D visualisation by density maps does not consider or analyze the vertical interpolation of archaeological finds. This is limiting in the case of very thick archaeostratigraphic units, where the 3D visualisation of the density phenomena provides a basic tool for a better understanding of the real spatial distribution trends of archaeological remains. In this paper, we propose a new method for processing 3D density analyses, and we present its first application to the Middle Pleistocene site of Isernia La Pineta as a further step towards distinguishing the impact of natural and anthropogenic processes on site formation and stratogenesis.