The crucible is a refractory material container used in laboratories and industry to melt or calcine substances at high temperatures. More abstractly, it refers to the place where ideas are born and purified through a series of trials. They mature there to finally become understandable and shareable with everyone. The websites "hades-home.fr" and "tla-periat.fr" aim to be a crucible for a number of scientific intuitions.
The immediate logical consequence of this approach will be that you will witness the maturation process firsthand; that the statements made may evolve over time, depending on the increasing degree of understanding of certain phenomena and any discoveries made along the way.
Contrary to what you will find on repository sites or institutional platforms reserved for graduates and students enrolled in a university or laboratory, or even in scientific journals whose contents have been peer-reviewed, here you will only see the work of an alchemist attempting to transmute the flashes of his thought into modest contributions to scientific thought; see in this regard the "amateur and researcher" page.
To discover what lies within this enigmatic crucible and explore these innovative researches in depth, I warmly invite you to read my various essays written in both French and English, available in open access on the American scientific website vixra.org (extern link - new page).
These publications detail the culmination of my work and offer you a unique perspective on the concepts discussed.
The foundations and initial steps of this intellectual and scientific approach are explained to you in detail below, as well as across all the pages of this website designed to guide you step by step.
To fully enjoy your reading, analyze the diagrams, and easily navigate between the different sections, it is strongly recommended to view this site from a desktop computer, a laptop, or a digital tablet, rather than from the small screen of a mobile phone where visual comfort would be reduced.
In French law, the state doctorate in dental surgery validates 300 ECTS and allows claiming a university level equivalent to a Master 2 in biology-health, cognitive science, and health engineering. The validation of acquired experience (VAE) makes it possible to directly enter the L2 or L3 level within the framework of studies focused on learning mathematics and physics.
There are two major families of fundamental convictions in physics that have divided the scientific community for decades.
One consists of believing that all observable events share at least one common link, a sort of underlying universal structure.
The other is content to classify them into distinct categories while reserving judgment on the possible existence of a smallest common denominator.
Proponents of the first have an affinity for the idea of a universal and almost divine harmony, whereas supporters of the second willingly and shamelessly range themselves in the camp of pragmatists attached to measurable facts.
This philosophical and scientific issue was among the major concerns of the american physicist Freeman J. Dyson throughout his career.
The attitude toward this dialectic is of capital importance because it can determine a strategy when it comes to discussing complex real phenomena and attempting one more step toward understanding the persistent hiatus separating the theory of electromagnetism from that of gravitation.
A personal adventure that occurred during the seventies (1970) allowed me to begin a long and difficult intellectual journey, going from the stage of unfounded beliefs to that of rigorously constructed reasoning thanks to the indispensable tools and scientific methods needed to move forward serenely. Unlikely and fortuitous encounters amply illustrating a very fashionable theme at the time they took place – that is to say surrealism – but which the normative rigor of rationality led me to recount in another part of my work, see the booklet entitled « La dernière lettre » on the « à propos » page, are at the origin of this entire research approach.
After many years of deep reflection and after having had its mathematical correctness verified ten years earlier by a professional physicist, I finally decided to share my initial thoughts on the complex notion of the vacuum and the energetic currents flowing through it in the year 2003.
This fundamental work redemonstrates a well-known result of theoretical physics, namely the existence of force currents in empty regions governed by the laws of electromagnetism formulated by J.C. Maxwell and O. Heaviside.
The in-depth analysis of the master equation obtained provides a better understanding of the physical nature of these force currents. One of their main components owes its existence to the recognized fact that electromagnetic waves circulating in these regions devoid of matter (but not necessarily of virtual particles or fields) are systematically and slightly polarized.
This rigorous demonstration constitutes the mathematical starting point of a slow and long scientific progression, the full content and subtleties of which I warmly invite you to discover through the pages of this site.
The demonstration indeed contains the essential motivations prompting a deeper exploration of the fundamental notion of the cross product. For, alongside the classical Maxwell equations, the innovative mathematical treatment applied to the cross products appearing therein is indeed the sole reason that can explain and allow one to understand that the volume force density resulting from this treatment explicitly contains an electromagnetic polarization force.
The existence of neutral currents in these empty spaces is no longer a novelty today. Electromagnetic (EM) waves, their existence, and their propagation speed in a vacuum were established through the colossal and foundational work of J. C. Maxwell (late 19th century).
Neutral particles (such as neutrons) circulating in this type of environment (spaces reputed to be empty) were detected during the 20th century. Neutral currents were predicted by Abdus Salam, Sheldon Glashow, and Steven Witten in 1968-1973.
In this sense, the information implicitly contained in the result of my initial demonstration is consistent with an already known theoretical and physical reality. Conversely, this reality somewhat endorses the validity of the demonstration. History could therefore have ended there.
However, I decided otherwise for the following reasons:
1) At the time this demonstration was first stated (the early 1980s), the Higgs mechanism (the mechanism explaining particle mass) was known to professionals, but I was unaware of it.
The search for particle masses, and in particular that of the Higgs boson itself, still aroused very keen interest.
The mass of the Z bosons was effectively only known in 1983, and that of the Higgs boson in July 2012 (announcement made at CERN).
2) It is possible to rediscover through a fairly simple approach the natural links existing between the notion of an elastic material string (in elongation or contraction) and the presumed equation of state of the vacuum.
ρ.c2 + p = 0
3) The initial demonstration subliminally introduces a mathematical problem whose study proves to be crucial and fruitful a posteriori. Indeed, the major formula of the first part of this work:
(1/c2). | ∂J/∂t >
=
{ε0. T2(o)(∂x, E). | E > + (1/μ0). T2(o)(∂x, B). | B >} – ∂x ρ + ε0.∂(rotx W)/∂t ; ∀ W
... is obtained by using two well-known isomorphisms. The first links the elements of three-dimensional vector spaces built on a commutative field K and their dual representations in K3. The second connects the dual representations of the vectors of the space E(3, K) in K3 to the set SO(3) of matrices representing axial rotations around these vectors.
Furthermore:
∀ X, Y ∈ E(3, K) → | X ∧ Y > = Φ(X).| Y > ∈ K3
In this initial work, K designated the set R of real numbers and the preceding remarks applied to the electric field E as well as to the magnetic field B within an easy manipulation of the equations of electromagnetism formulated by J.C. Maxwell for empty regions of a 1 + 3 type spacetime.
4) Finally, the same initial demonstration implicitly contains potentials for generalizing the mathematical elements that made it possible to obtain it; for example:
a) The cross product can be deformed (see on this site the page dedicated to explaining how I understand this concept of deformation).
b) Physical spaces are not necessarily empty and their geometry can be deformed by the presence of matter (see the work of A. Einstein).
© Thierry PERIAT
Page updated on september 13, 2026