Prologue
In 1714, in Hannover, an old man finished a short book of ninety numbered paragraphs. It described the smallest things in existence. He called them monads. The book was called the Monadology. Its author was Gottfried Wilhelm Leibniz — co-inventor of calculus, creator of binary arithmetic, diplomat, jurist, and the last man who tried to know everything.
Three hundred years later, the monads are still filed under metaphysics. But here is what changed: Leibniz was also the man who formulated the Principle of Sufficient Reason — the claim that nothing exists without a reason. And he was the man who, in a letter from 1717, wrote down Occam’s Razor in almost its modern form: entities must not be multiplied beyond necessity.
So we can do something unusual. We can take his arguments and test them with his own tools. The judge and the defendant share a vocabulary. This is an internal audit — and like every honest audit, it will both acquit and convict.
In this first part: the five arguments, the audit, and the fork in the road between the necessary and the contingent. Everything here is argument. The measurement begins in part two.
Chapter One — The Five Pillars
Leibniz built his case on five pillars. Let us state them in their full strength, not their caricature.
Pillar one: the cosmos of contingent things. Everything in the world of experience begins and ceases. Each contingent thing — this cup, this star, this moment — does not carry the reason of its existence inside itself. The reason lies outside, in something prior. The chain of reasons therefore either climbs forever, or rests on something that exists by its own nature. Leibniz’s rejection of the infinite regress is precise: an infinite series of contingent explanations, however long, has no sufficient reason for the series as a whole. The series explains every member partially and nothing about the total.
Divide and conquer: an infinite regress is not a wrong answer — it is no answer. If every fact is explained by a prior fact, then after any amount of explanation, the sum total of all facts remains unexplained. It is like paying every debt with a borrowed coin: the debts clear, the debt-money never appears.
Pillar two: the principle itself. Nihil est sine ratione. Nothing is without reason. Note the subtlety: not merely efficient causes in time — the billiard-ball kind of cause — but reasons in the order of intelligibility: why this, why at all, why thus and not otherwise. Applied to the totality of contingent things, it demands a sufficient reason for the whole collection. Since no contingent thing contains it, the reason must lie in a necessary being.
Pillar three: pre-established harmony. Mind and matter, for Leibniz, never causally touch. They run in parallel, like two clocks built by the same perfect craftsman and wound to agree forever. This was his answer to the mind-body problem: no interaction, just synchronized order.
Pillar four: the best of all possible worlds. Of infinitely many possible worlds, a reason must decide which one exists. The deciding principle, for Leibniz, is the good — God chose the world that maximizes reality per possibility. This is the pillar Voltaire burned down with Candide.
Pillar five: the monadology. The ultimate units of reality are simple — without parts. Each changes from an internal principle, not by external pushes. Each change is ordered: a striving, appetition, from one perception to the next. And each mirrors the entire universe from its own point of view.
CHAPTER TWO — THE RAZOR’S AUDIT
Now the audit, with the razor he gave us.
Pillar four, the best of all possible worlds: shaves away. The predicate “best” is undefined without a metric; no optimization procedure over possible worlds is observable; and the world we examine is not one a perfectly good engineer would sign. The evils are not merely distributed — some are gratuitous. The pillar fails the razor’s parsimony and the PSR’s own demand for sufficient reason. Verdict: dismissed.
Pillar three, pre-established harmony: shaves away, and this is the beautiful irony. Leibniz needed it only because seventeenth-century physics had no account of how fields coordinate distant events. Then physics found the field. Electromagnetic interaction, then quantum fields: interaction is local, mediated, and needs no pre-wound clocks. The parallelism dissolves once the medium exists. The razor’s own history executed its author’s metaphysics. Verdict: dismissed — with respect.
Pillars one and two survive in reduced form. The regress-termination argument is logically valid as a dilemma — either regress or ground — but the identification of the ground remains open. And pillar five survives in full. Hold that thought; it is the pillar that will, against every expectation, meet the photon.
Chapter Three — The Fork in the Road
Here is where the conversation that produced this series turned.
Some truths cannot be otherwise. Two plus two is four. In any geometry that preserves the meanings of the words, the square on the hypotenuse equals the sum of the squares on the other two sides. Deny it and you have not made a discovery; you have changed the subject. These truths are necessary and non-contingent: their negation is a contradiction, and they hold in every possible world. They are not facts about the universe; they are the skeleton that any universe must have.
Everything else is contingent. Every empire, every flower, every photon emitted at random, every moment of every biography — it could have been otherwise. Its negation involves no contradiction; it merely did not happen.
Leibniz saw the structure and asked the question that defines this entire series: must all contingency, to avoid an infinite regress of reasons, ultimately have its reason in the necessary? Is the contingent world grounded in the world of necessary truth — mathematics — rather than merely suspended over an abyss?
And now the crucial observation about what Leibniz did and did not claim. He never wrote: mathematics is necessary, therefore God. He built the staircase — from contingent things up to necessary truth — and he stopped one step below the landing, where he installed a theological occupant. But the staircase itself does not require that occupant. Our task, for three parts, is to finish the climb without smuggling anyone up it.
Chapter Four — The Uncaused Question
The first objection is the classical one, pressed by Kant, Hume, and Schopenhauer in different keys. If everything requires a sufficient reason, why does the necessary being not require one?
Leibniz’s answer: a necessary being carries the ground of its existence within itself. Existence is part of its essence. Its non-existence is impossible in the way that a square circle is impossible.
But audit it. That answer is a definition, not a demonstration. To define God as the being whose non-existence is impossible is to declare the regress finished by decree. The famous ontological argument — God, defined as the greatest conceivable being, must exist because existence is a perfection — commits the same move, and Kant’s verdict on it stands: existence is not a predicate. Adding “and it exists” to a concept does not add a property to the concept; it asserts that the concept is instantiated. A definition cannot conjure an instance.
The razor asks the only question that matters: what have we actually observed? We have observed an assertion. A necessary being with consciousness and will has exactly zero measurements to its name.
And yet — and this is essential honesty — the regress must end somewhere. The Principle of Sufficient Reason, if it holds at all, demands a terminus. The question is not whether there is an ultimate ground. The question is what it is. Keep the question. Change the method: stop asserting the answer, and start measuring the candidates.
Chapter Five — The Eternal Flame
The first measured candidate is not exotic. It is the oldest bookkeeping fact in physics.
The first law of thermodynamics: energy is neither created nor destroyed. This is not a theory among theories. It is verified in every reaction ever measured — chemical, nuclear, stellar, quantum. Noether’s theorem shows why: for every continuous symmetry of nature — here, time-translation symmetry — there is a conserved quantity. Energy is conserved because the laws of physics do not change with time. The conservation law is not an accident; it is the shadow of a symmetry.
So consider the argument of this series, in its strongest early form. Energy cannot be created or destroyed — that is measured. Eternal truths like two plus two equals four cannot be contingent — that is logical. Energy is expressible only mathematically — every physical law involving energy is an equation. Therefore the eternal, non-contingent floor exists, and it is measured: it is energy.
Divide and conquer: imagine the total energy of the universe as a single flame that has always burned, consuming nothing, exhaustible by nothing. Every fire, every heartbeat, every galaxy is a whirlpool in that one flame. The flame itself is never touched.
But one step in the argument is load-bearing, and this series does not hide its load-bearing steps. From “energy is never created or destroyed inside the universe” to “energy cannot fail to exist” is a step from a law of transformation to a metaphysical necessity. A conservation law tells us how something behaves within the system; it does not, by itself, tell us why there is a system. The razor cuts gently here: the step is plausible — but not proven.
What is proven is something else, and it is enough for now: whatever the ultimate floor of reality is, it is not a person and not a will. It behaves, in every measurement, exactly like energy — or whatever energy is made of. The classical theist must now explain why their necessary being behaves precisely like something no instrument has ever detected.
Chapter Six — The Causal Engine
The next move strengthens the case considerably.
In Einstein’s field equations of general relativity, written in 1915: G, the Einstein tensor, which encodes the curvature of spacetime, equals eight pi G over c to the fourth, times T, the stress-energy tensor, which encodes the distribution of energy and momentum.
Divide and conquer: the left side of the equation is the shape of space and time. The right side is the amount of matter and energy, and how it moves. The equation says, in one line: energy bends space, and bent space tells energy how to move. The curvature of the room you are sitting in is not metaphor; it is the sum of the mass in the room.
Now apply the two tools. By the Principle of Sufficient Reason: the curvature of space has a reason. By the razor: curvature without energy is impossible — the field equations allow no curvature without a stress-energy source. Therefore energy stands in cause and effect. Energy is the causal engine of spacetime’s shape.
The audit must be honest. This is established within the universe. It demonstrates that energy is the engine of geometry. It does not yet establish what energy itself rests on. But note the direction of every arrow we have found so far. Every causal arrow points from energy toward structure — never from a will toward energy. In three hundred years of physics, no experiment has ever detected energy originating from an act of volition. The direction of the evidence is uniform.
Chapter Seven — The Boundary
Now the boldest move of the argument, and it was proposed in exactly this form.
Define the floor: the Big Bang. Not as an explosion in pre-existing space — that is the popular distortion — but as the boundary between time and not-time, space and not-space. The beginning of the metric itself.
First, the dissolution. According to the measured model of cosmology, time itself is a property of spacetime that begins with the Big Bang. Asking “what happened before the Big Bang?” is therefore malformed: “before” is a word that indexes positions along a single-dimensional temporal sequence, and there is no such sequence beyond the boundary. It is like asking what is north of the North Pole. The question was not hard. It was ill-formed.
But here is the sharpest observation of the entire series, and it rescues the question from the dissolution. Asking what caused the Big Bang is not the same as asking what came before it. Causation is not necessarily temporal. It is an inference relation between grounds and consequences, and only in one special case — our everyday experience — does it align with time’s arrow. Leibniz’s PSR was always about reasons, not mere antecedents.
So the argument completes itself: if the Big Bang is the beginning of time, and everything that begins requires a sufficient reason, then the reason of the Big Bang must be non-temporal. If we refuse the non-temporal, the Big Bang fails the Principle of Sufficient Reason — and with it, the rationality of the universe. So the answer exists: something non-dimensional, outside time and space, caused time and space. The question is what the non-temporal is.
Leibniz said: mind — the monad of monads, God. And that answer now stands in a strange position: it is the one candidate that has never been measured. The evidence so far — the conservation law, the field equations — points to energy as the causal substance. The remaining question: can anything measured be, in a rigorous sense, outside time? That question has an answer, and it is not philosophical. It is in the calibration records of atomic clocks, the design of GPS satellites, and the data of particle accelerators. That is part two.
Chapter Eight — Where Part One Leaves Us
Let us state the position precisely, because everything after this builds on it.
Established by logic and audit: the regress of contingent reasons must terminate in something necessary. The classical candidates — a conscious necessary being, the best world, pre-established harmony — have been shaved or suspended. What survives is a necessary floor with the measured properties of energy.
Established by measurement: energy is conserved absolutely, within the universe. Energy is the cause of spacetime’s curvature. The universe has a boundary — the Big Bang — which is the beginning of time itself.
The open question, now sharpened to a point: what is the non-temporal ground of the temporal? And a hint, already visible on the horizon: the conservation law and the field equations both describe energy as something that does not begin and does not end. If the boundary of time is the Big Bang, and energy does not begin — then energy, or whatever energy fundamentally is, may be precisely the non-temporal thing the argument demands.
The classical answer put a will there. The measured answer may put a photon there. Part two: Michelson, Morley, Einstein, and the discovery that “outside time” is a physical state you can measure — with the null clock.