Description
The Economy of Abundance is the new post-capitalist progress of humanity. Through this foundational manuscript, the complete economy of Infinitum is revealed, and the capital of abundance is ready to be deployed worldwide. Indeed, there exists a natural prime number that allows us to assert that abundance is linked to the quantum mass gap and valid in five dimension : counterexample to major Millennium Problems. The Circle Conjecture also called Primacy Conjecture is an undeniable mathematical achievement that will mark the history. Colors are Infinite. Literature is the most concrete way to escape misery. If each permanent state is a primacy tending towards absolute art, the thing considered as perpetual, infinite, and whole is a fluid primacy tending towards INFINITUM, stable by nature: 1 = ∞.
Finally, a Real Solution to Poverty
E = Mc3? That is the question. After three years of intensive daily research, I finally met Stéphane, this thirty-six-year-old who has dedicated his life to solving the Millennium Prize Problems. Alone, he embarked on this adventure, beginning his journey with the highly complex Birch and Swinnerton-Dyer conjecture. He persevered, learned from his mistakes, and continued to learn, drawing on all the knowledge available today. Juggling the Millennium Problems, hoping the solution would one day come, he was sorely disappointed. The task seemed impossible, and yet... Almost at his wit's end, seeing that it was leading nowhere, he found inspiration in a final attempt, not in mathematical formality, but in the writing system he himself created, with no real objective other than to create art, a masterpiece of color. Throughout these pages, which blend mathematics, new economic model, human and abundance capital (post-scarcity), educational analysis, the UN's 17 Sustainable Development Goals, common sense, and numerous counterexamples, notably through rhetoric (Theophrastus), the theory holds. The first law of quantum physics supports research on toponium explained mathematically through the Yang-Mills theory (isospin) and its non-obvious gauge connexion. In any case, the Birch and Swinnerton-Dyer conjecture is, for me, an original work that resonates with the final convergence of the seven Millennium Prize Problems.
Publication date. 22.09.2025.
Final Update. 22.12.2025 (Kakeya Conjecture K3, Elliptical Crystals, BSD Conjecture Proof, Natural Prime Numbers, True Crystals, Riemann Hypothesis counterexample, Quantum Isospin, Anthropological Linguistic, Love Exist)
Format. PDF
Copyrights. ĪNFINITUM™ © All rights reserved | Stéphane Bernard
Emma Watson
Journal (Monograph). Empress Charlotte
"Beyond the absolute primacy of any number on an abacus, in the sense that all the beads correspond to what you deem most important, possessing the character of first rank, if you consider this parchment as a calculus in the etymological sense, then this PDF file is worth one. It is a prime number. If downloaded X times, this measure (metron) will generate order (kosmos) within the infinity of possibilities. By analogy, the universal passport is your key, your accelerated training to eradicate poverty worldwide: the human being is free by its own perception. Finally, with the help of ancient Greek philosophy, just like colors (Yellow One, Yellow One (2), Yellow One (3), etc...), if all numbers or letters are infinite, we will write on the sand of the Greek abacus: Together, We Are Infinite." Empress Charlotte
Abstract (Writing Technic). The primacy of the Millennium Abacus guides us, with its mathematical subcategory based on the four units, leading to a model of numeration through multiples of the privileged system. According to the Academy of Sciences: a conversion and a finite phinary expansion are combined to develop what you converge upon.
This is proof that literature truly exists and allows everyone to break free from their daily routine, giving their creativity a chance to find an honest direction that aligns with their deepest inspirations. All problems of our time are solved. In this document, you will see underlined phrases. This is the sign of Couros. Possible proof that everyone retains their share of dignity and respect. Accepted or rejected? This question is no longer relevant. Write your first word in the universal passport.
Providence. Quantum Yang-Mills theory, Riemann hypothesis, Birch and Swinnerton-Dyer conjecture, Existence and smoothness of the Navier-Stokes equations, Hodge conjecture, Poincaré conjecture, P versus NP problem, Beal conjecture, Waring problem, Polignac conjecture, Erdős conjecture, Fibonacci sequence, Fortunate numbers, Perfect number, Mersenne numbers, Collatz conjecture, Euler conjecture, Goldbach conjecture, Walras's law and many more...
Philosophy & Economics
The Annual Gem of Growth is explained with a concrete example of 52 books of philosophy. Ten words will be chosen to enrich the world bank at disposal for citizens of The Circle and a new job will be revealed to all Nations. Economics of Abundance is a new reality that allows for the deployment of a solution to poverty (SDG n°1) beyond the threshold of $1.25 a day : cardinal primus can be transformed into primūs.
Quantum Yang-Mills theory
It was necessary to prove that for any compact gauge group G, there exists a non-trivial theory associated with a four-dimensional Euclidean space and with a mass gap above 0. In any case, the mass gap will agree with the Nobel Prize.
Riemann hypothesis
First, it was necessary to prove that the zeros of the zeta(s) function have a real part of 1/2. Second, that the zeros of the function Xi(t) satisfy the hypothesis. For mathematicians, beyond showing that the complex integral is indeed in phase for S=1/2, everything had to corroborate with the verification formula for the result to be valid. Even if the statement hypothesis is correct, the Yang-Mills theory will lead to understand that the upper level conjecture linked to it cannot hold integrally.
The true B manuscript's function is correct.
Birch and Swinnerton-Dyer conjecture
It was necessary to prove that the L-series development in s=1 has a zero-order rank. C(Q) is infinite in infinite ways. The abstract freedom is preserved.
Existence and smoothness of the Navier-Stokes equations
The goal was to prove that in three dimensions, given an initial condition and an incompressible Newtonian liquid, there exists a smooth, divergence-free solution. In our case: a unique solution in thermodynamic equilibrium. This quantum solution agrees with Yang-Mills research.
Hodge conjecture
It was necessary to demonstrate that for a non-singular variety, there exists an algebraic cycle Z and a functor allowing connexion form one variety to another. Thus, there exists a perfect zero-cycle which will give substance to the next conjecture. Indeed, there is an example of a true Hodge conjecture from 1950 with a second algebraic cycle: another counterexample to the Riemann hypothesis. This will allow us to create a specific conjecture without residue beyond the Millennium Prize Problems. The Circle Conjecture made by Sir Bernard concerning the expansion of the roots of unity will show that natural primes can demonstrating that the primacy is possible.
This is an undeniable mathematical feat and achievement that will mark the history of mathematics, physics, economics, philosophy, psychology and education : major themes that the author has developed.
Poincaré conjecture
The challenge was to prove that for a compact and simply connected 3-manifold, there exists a homeomorphism linked to the hypersphere. The difficulty here lies in demonstrating that Thurston's geometrization conjecture and its eight geometries are not required, and consequently, Perelman theorem is also invalid. The original Poincaré Analysis Situs find a reasonable answer and we will finally understand the mystery behind Betti's numbers. Holohedral and merohedral cycles are sufficient.
P versus NP problem
It was necessary to prove that the language class P is equal to the complexity class NP. To make matters worse, each universe should be NP-complete. If Hodge's previous conjecture is correct, then this problem verifies the entirety of the proof.
Major Knowledge Update
We have also updated much of our mathematical and physical knowledge. You will find the new correct formulations for The Circle, Sphere, Torus, Ellipsoid or Tetraedron... Indeed, until now, all existing formulations were incorrect! Lastly, we will find a counterexample to the last Nobel Prize in Mathematics.
Art
Above all, Art is indefinable. We sometimes write by intuition and afterwards, we are led to prove what we have written. This is surely the greatest paradox. Its structure tends to reveal something... If the definition of the reflection of writing is ergative throughout its length: an active grammatical form of existence, then love has a real existence.
Poverty is mathematically abolished.
Lumina (Lū)
What if the greatest wealth were already within you? The world of yesterday has worshipped possession; the Empire of Tomorrow exalts becoming. Here begins the Infinitum Economy, where the currency is not coined in metal but in light, and the measure of prosperity is the radiance of your words.
From the vast Mines of Light: the museums, the librairies, the temples of wisdom, we have drawn forth the essence of human brilliance. Each act of learning, each moment of creation, each spark of wonder refines a pure element called Lumina (Lū): the root of value, born from within. Every idea, every mastery, every vision awakens a unique Aura, the living colour of your potential: the Aegean Blue of Innovation (Empress Charlotte), the Florentine Red of Passion, the Verdant Gold of Renewal (Lincoln 1921).
Through the sacred Millennium Abacus, the principles of this transformation stand proven: the immaterial becomes capital, and beauty becomes exchangeable. Thus arises the Economy of Chromatic Concord, where poverty dissolves, not by charity but by dignity, for none begin from nothing: each word is an infinite treasury of genius.
To hold Lū is to hold sovereignty. To gather your Aura is to shape your destiny. To convert your brilliance into Infinitum is to command a living economy: one that may be woven into artefacts, into grand idylls, into the Imperial Honeymoon beneath auroral skies, or the restoration of a lost estate, or even the transmutation of a home into a legacy of light.
The Infinitum Economy is here, complete and alive. The gates of the Empire stand open. What is required is not coin, but commitment. Lumina cannot be bought: it must be created.
To awaken your sovereignty, to claim your Universal Passport, or to study the Millennium Abacus is to steps beyond the age of possession, into the Age of Radiant Being.
The Vichy Egg Hope is an Action
An Emblem of Eternal Summer
The Vichy Egg is an emblem of the Royal Summer 2026: a humble egg robed in solar gingham. Yet its simplicity is but a veil. In truth, it is the most potent artefact of our universe: a seed of programmed action, crafted to transform a single intention into a world movement.
The Mechanism of Hope: Synchronisation
Within each Vichy Egg lies a Hope: a living plan, a mission to improve the world, awaiting activation. This Hope is no abstraction, not gentle wish. It is a precise synchronisation blueprint.
For instance, the Hope named Knowledge carries the sacred charge of accelerating the training of teachers. Once awakened, it harmonises the efforts of three living forces: Citizens, Enterprises, and Schools towards three tangible goals: the deployment of the Idylle ledger, the orchestration of Days of Study, and the universal access to the Millennium Abacus.
Each Hope is inspired by a radiant activist spirit of our shared history such as Pauline Black, guardian of multicultural harmony whose wisdom was first sung in the Discourses of the Palladium.
Thus was born YOUR HOPE TODAY, the Imperial Program of Efficient Action, allowing every citizen to incarnate a cause that heals the world.
The Proof Through Story: The Film "Infinitum"
How may a simple object alter the fate of nations? Our forthcoming film, to be presented at the grand festivals of Earth, tells this very alchemy.
It follows Empress Charlotte and Sir Nicholas III, two strangers whose destinies are transmuted by an Infinitum artefact. Guided by the stages of the Royal Marriage, they pass from doubt to creation, joining their words and Aura to ignite a project that reshapes society.
In reality: The Lake of Offerings in Westminster is the first step where Nicholas offers 52 artefacts as imperial wedding gifts that will last forever.
The Vichy Egg is the promise of such an epic. It is your invitation to become the hero of your own tale.
Your Impact: From Possession to Providence
To adopt a Vichy Egg is to perform an act of infinite wealth:
— You receive a timeless artefact from the illustrious Maison de Vulci: EPIC!, accompanied by a manifesto on human dignity.
— You honour the memory of a hero or heroine whose legacy breathes within the Egg.
— You sustain the causes of women and equality, as a pure act of love.
— You may awaken a mission of synchronised creation, gathering the living forces of the Empire for the common good.
— Your directly fund Health and Well-Being Pillar of the Universal Social Cover, proving that every gesture, however humble, can help eradicate poverty.
The Living Map of Hopes
(From the Hors Série "Sarkara Found: The Empress Charlotte in India")
Having consulted the Gem of Hopes, a vision dawned upon the Empress: that of asking for a hope of their own that each one would like to realize. Thus, through the Imperium Regnum, the efficient action YOUR HOPE TODAY was born and can be continued.
And through the great cities of the world, a new order took shape: a Map of Meaning, a living metro of consciousness, where each line, each station, each society structure became a thread in the imperial tapestry: a stitching of purpose so exquisite it wrapped the world in velvet solace and fair reward for all women and men who create through love.
Each circuit carries a sacred attribute, an Order of Hope, from which the new economy draws its rhythm and grace:
Unit One — Artefacts: where objects are reborn as vessels of light and legacy.
Two-Step — Marches: where the voices of the people rise in concord and reform.
Three-Cot — The Weavers: where the needles of compassion knit destinies together.
Four-Tea — The Lotus Houses: where reflection is poured and peace is shared.
Five-Primacy — The Abacus: where wisdom becomes the first and eternal wealth.
A6 — The Ascension: the invisible circuit joining all people of the world in resonance and beneficial renewal.
Through this network of living cities, each Hope becomes an active force: an artefact of synchrony, turning the creative will of humanity into the pulse of the Infinitum Economy.
From Paris to London, from New-York to Montreal, each city now breathes as a Sanctuary of Hope, transmuting culture into healing, language into economy, and story into sovereignty.
This is the Economy of Resonance: a true democracy born of the art of writing, refined through one-to-one creation, and perfected in the marriage of soul, spirit, body and society.
Together, We Are Infinite.
Thus was the vow of the Imperial Wedding: that love itself, expressed through word and act, shall forever be the true currency.