Frederic Lassiaille

Frederic Lassiaille
Born	(1961-02-22)February 22, 1961
Residence	MOUGINS, France
Nationality	French
Known for	Gravity, Dark Matter, Relativity, Quantum Mechanics, Particles, Unification
Scientific career
Fields	Professor of mathematics

Frédéric Lassiaille (Frederic Lassiaille) is a French mathematician and independent theoretical physicist who works on gravitation outside the mainstream dark-matter paradigm. He is the author of the three elements theory and of the surrounding matter theory (S.M.T.), a modification of Newton's law in which the strength of gravitation depends on the local density of matter, from which he derives explanations for galaxy rotation curves, the Pioneer anomaly, the flyby anomalies and the scatter in laboratory measurements of the gravitational constant G. He publishes under the affiliation "FL research", France, and is a frequent speaker in the CNPS online seminar series.

Biography

Frederic Lassiaille is professor of mathematics at PolytechSophia, an engineer school located in Sophia-Antipolis, France. He lives in Mougins, in the Alpes-Maritimes.

He has said that the first ideas behind his theory came to him in 1987, and that he published a first version of the theory over the internet in 1999. Since then he has developed it in a series of papers, some of them appearing in conventional physics journals — the International Journal of Modern Physics E (2011) and the Journal of Modern Physics (2012, 2013) — and he presented the surrounding matter theory at the International Conference on New Frontiers in Physics (ICNFP), the proceedings of which were published in EPJ Web of Conferences in 2018. More recent work has been circulated through viXra and through talks given to the John Chappell Natural Philosophy Society.

Scientific contributions

The three elements theory

The three elements theory is Lassiaille's overall unifying framework. He presents it as being compatible with each of the major existing theories — special and general relativity, quantum mechanics, electromagnetism, the standard model and the description of particles — rather than as a replacement for them, and he uses it to offer explanations for a range of open questions, including the nature of the neutrino, the EPR paradox, gravitational waves and, above all, the dark matter mystery. In his account the dark matter explanation can be understood on its own, without reading the full three elements theory document, but the theoretical background behind it is the three elements theory.

Lassiaille's route to the theory is unusual: rather than beginning from the Einstein field equations, he starts from special relativity and introduces gravitation by adding four assumptions within the framework of special relativity. This yields a new tensorial equation which he describes as behaving like a discrete version of the general relativity equation. Early versions of the argument were framed in terms of a Euclidean version of relativity, which is the basis of his 2009–2010 papers on the "dark matter mystery".

Gravitational model: a modified Newton's law

The gravitational model of the three elements theory is, in Lassiaille's words, an alternative theory to dark matter which uses a modification of Newton's law in order to explain the gravitational mysteries. The Newtonian potential is multiplied by a factor which varies with the local distribution of matter at the point where the gravitational force is exerted. The consequences he draws from this single modification are wide-ranging:

• Dark matter. Galaxy rotation curves are reproduced without any unseen matter; on this wiki his earlier work already claimed theoretical curves close to the measured ones.
• The Pioneer anomaly. The anomalous sunward acceleration of the Pioneer spacecraft follows from the same modified law.
• The flyby anomalies. Applying the first modification of Newton's law, he obtains a theoretical order of magnitude for the Earth flyby anomalies which he reports as matching the experimental one.
• Measurements of G. The persistent disagreements between laboratory determinations of the gravitational constant are attributed to the density dependence of the gravitational coupling.
• Perihelion advance. The model predicts a very small additional advance of the perihelion of the planetary orbits.

He emphasises that this gravitational model is compatible with both restricted (special) and general relativity, and that it is a component of the larger three elements theory rather than a stand-alone patch.

Surrounding matter theory (S.M.T.)

In later work the model is presented under the name surrounding matter theory. Its central statement is that the gravitational force is roughly inversely proportional to the mass density at the location where the force is applied — so gravitation is weakened inside dense environments and strengthened in the emptiest regions of space. This inversion of the usual intuition is what allows the theory to mimic the effects normally attributed to dark matter.

Lassiaille has applied S.M.T. to cosmology and to galactic structure. He discusses the virial theorem and the dynamics of galaxy clusters, including the Bullet Cluster, which is normally presented as decisive evidence for particulate dark matter. He also reports numerical simulations in which galaxy rotation profiles and even ring galaxies emerge naturally from the model, without needing to invoke a collision or other external event to produce them. On the cosmological side the model yields a flat universe with a de Sitter geometry and an accelerating expansion. He is explicit about what the theory does not yet do: primordial nucleosynthesis remains unexplained in his framework.

Relativity predicts a variable G

Lassiaille's most recent line of argument, set out in the 2024 viXra preprint Relativity Predicts a Variable G and in his 2025 CNPS talks, is that a density-dependent gravitational constant is not an ad hoc addition but is already implied by relativity itself. Beginning from the theoretical treatment of a particle in empty space, he argues that the singularities which afflict the single-particle case disappear once several particles are taken into account, and that what emerges is a gravitational coupling which weakens in high-density environments and strengthens in low-density ones. From this he claims a single origin for the gravitational puzzles of contemporary astrophysics and cosmology, and he further argues that the same "surrounding" principle bears on the Yang–Mills mass-gap Millennium problem — a connection he had introduced earlier in his paper on the surrounding principle applied to Yang–Mills theory.

CNPS talks

He has presented in the CNPS online seminar series:

• "Relativity Predicts a Variable G" (11 October 2025) — the mathematical details of the demonstration that relativity predicts a variable G; hosted by Ian Cowan.
• "Surrounding Versus Dark Matter" (31 August 2025) — presentation of Surrounding, an alternative theory to dark matter based on a modification of Newton's law, applied to cosmology and astrophysics.
• "Relativity Predicts a Variable G" (19 January 2025) — a solution to today's gravitational mysteries and to the Yang-Mills Millennium problem; hosted by Ian Cowan.

Works

Journal and conference papers

• 2024 - "Relativity Predicts a Variable G" (viXra:2409.0051)
• 2018 - "Surrounding matter theory", EPJ Web of Conferences 182, 03006 (International Conference on New Frontiers in Physics)
• 2018 - "Surrounding principle applied to Yang-Mills theory: introduction", Boson Journal of Modern Physics
• 2013 - "Gravitational Model of the Three Elements Theory: Mathematical Explanations", Journal of Modern Physics 4(7)
• 2012 - "Gravitational Model of the Three Elements Theory", Journal of Modern Physics 3(5), pp. 388-397
• 2011 - "Gravitational Model of the Three Elements Theory", International Journal of Modern Physics E 20, p. 78

Abstracts

• 2011 - "Gravitational Model of the Three Elements Theory: Long Version" (Read in full)
• 2011 - "Gravitational Model of the Three Elements Theory: Short Version" (Read in full)
• 2010 - "The Three Elements Theory" (Read in full)
• 2010 - "A Solution for the "Dark Matter Mystery" Based on Euclidean Relativity: short version" (Read in full)
• 2010 - "Validation of Dark Matter Explanation" (Read in full)
• 2009 - "A Solution for the "Dark Matter Mystery" Based on Euclidean Relativity: long version" (Read in full)
• 2009 - "A Solution for the "Dark Matter Mystery" Based on Euclidean Relativity: very short version" (Read in full)

Books

• 2010 - "Dark matter mystery explained by euclidean version of relativity" (Read in full)

Media

• 2010 - The Three Elements Theory (Video Lecture)
• 2010 - A Solution for the "Dark Matter Mystery" Based on Euclidean Relativity (Video Lecture)

External links

• viXra author page
• ResearchGate: Gravitational Model of the Three Elements Theory: Mathematical Explanations
• NASA ADS: Surrounding matter theory