The question of God's existence runs through the entire history of thought. For centuries, philosophers, theologians, and scientists have sought to know whether it can be proven — and if so, in what sense. This page presents the great arguments put forward over time, then a contemporary approach through mathematics: the equation P = E∞. Let's say it plainly: there is no empirical proof, verifiable in a laboratory, that would settle the question for everyone. But logic does allow for rigorous demonstrations — and that is the ground on which the debate is played out. ACAV simply recommends lifting your gaze and observing the universe.

It all depends on the word "prove." An empirical proof — experimental, measurable, reproducible — does not exist for the existence of God, nor for its non-existence: the subject escapes the laboratory by nature. But there is another form of proof, logical proof: reasoning that, from accepted premises, reaches a necessary conclusion. Such a demonstration does not impose itself through measurement, but through its internal coherence — it binds whoever accepts its starting point. Most of the great arguments about God, including the one presented below, belong to this logical order, not the experimental one. Confusing the two is the source of many misunderstandings.

Four major families of arguments recur in the philosophical tradition. None achieves unanimity; all are debated, and it is this debate that keeps them alive.

Everything that exists seems to have a cause. Tracing the chain of causes back, one seems to arrive at a first cause, itself uncaused. Some identify this first cause with God. Classic objection: why would it be God rather than the universe, and why couldn't the chain be infinite?

The universe displays order, regularities, remarkably fine-tuned constants. For some, this arrangement suggests intention. Objection: this order can also be explained by natural mechanisms.

The very idea of a perfect being would imply its existence, since a perfect being that did not exist would be less perfect than one that does. A fascinating and much-debated argument since Anselm: many see in it a questionable leap from idea to reality.

The existence of values that seem objective — justice, dignity — would call for a foundation beyond them. Objection: these values may also have a human, social, or evolutionary origin.

Alongside these classic arguments, Message Initial, with Alain Lortie, offers a contemporary logical demonstration, built around the equation P = E∞. It posits an identity: Purity (P) and Infinite Energy (E∞) — the Source — are one and the same reality.

The reasoning is as follows. If the infinite Source is removed, E∞ becomes zero; and since P = E∞, Purity then vanishes as well, and with it order, beauty, and being — nothing would remain but the void. Conversely, the very real existence of order, beauty, and purity in the world can only be understood, within this framework, if the infinite Source is real. It is in this precise sense that the equation presents itself as a logical proof of the existence of a Source: it makes the Source the necessary condition for what we observe.

A clarification this page holds to as much as the book does: this is a logical proof, not an empirical one. Its strength lies in its coherence — it is binding for anyone who accepts its starting point, the identity between Purity and the infinite Source. It illuminates, through reasoning, the necessity of a Source; it does not claim to impose itself through measurement or experience, as a scientific proof would. Readers remain free to examine its premises — and it is from that examination, not from constraint, that conviction is born.

This is the immediate objection, and it deserves a frank answer. Yes, the equation forms a circle: it posits the Source and arrives back at the Source. But the accusation of "circularity" rests on a hidden assumption — that any proof should be a straight line, a chain running from external premises to a conclusion. Yet this requirement of linearity is a choice, not a self-evident truth. Nature itself knows no straight line: everything in it is cycle, orbit, return, relation — from the motion of the stars to the circulation of the living. Reality is not justified in a line; it holds together through the coherence of the whole.

This is precisely the status claimed by P = E∞: not a linear deduction that would prove the Source from an outside point, but a coherence — a whole that sustains itself, where the Source and what it makes possible cannot be thought apart from each other. One honest caveat is in order: a circle can be vicious when it merely repeats its conclusion without illuminating anything. That is not the case here: the circle in question makes intelligible what we observe — order, beauty, being. Readers remain the judge of this coherence; but to fault the argument for being circular already assumes that only a straight line can prove anything — which nature denies.

Where faith and reason are often opposed, this approach offers a formal language for thinking about the infinite and about unity. It does not close the question by authority; it proposes a rigorous way of thinking it through.