Thou hast arranged all things by measure and number and weight. — Wisdom 11:20

This world is called one by the unity of order. — Thomas Aquinas, Summa Theologiae I, q. 47, a. 3


Contents



Note on Sources and Method

This essay is a companion to Does Relativity Divide the Now?, What Sustains the Now?, and Does the Law Explain Itself?, whose results it recalls rather than re-derives. From the first it takes the unbundling of the word now and the withdrawal of the cosmic present. From the second it takes the mature account of the Lemniscate as a per-continuant topology of temporal actualization, whose scope the present essay further clarifies. From the third it takes the proposition that no element of the physical figure, and no sum of elements under the name the universe, grounds the figure.

The physics it uses is established physics, used sparingly: the relativity of distant simultaneity; the cosmologist’s “cosmic time” in homogeneous models; and the existence of causal horizons. Nothing here asserts of physics what physics does not assert. In particular, nothing here pronounces on multiverse proposals in cosmology, which are questions for cosmology. The claim is only that the multiplication of crossings does not, by itself, multiply universes. One further question, exposed by this essay rather than settled in it, is marked where it arises: which temporally enduring beings instantiate the full lemniscatic figure, with its epistemic loops of memory and anticipation, and which have histories and actualizations without it. The present argument requires only the weaker premise, and the stronger question is left to its own treatment.

Like its predecessor, this essay also corrects an earlier text. Alpha and Omega* spoke of distant events occurring “at the same Now,” identified the ground of those events with the Now, and pictured the cosmos as a single lemniscate of which we are one of the crossings. Those sentences belong to the stage of the topology before the relativity correction, and they are here reclassified: what survives is kept, what does not is withdrawn, and the reason is given in each case. The witnesses — Aquinas, Leibniz, and the Scriptures of creation — are company on the road and not authorities from which the argument descends. It stands or falls on its own structural coherence.


Abstract

Does Relativity Divide the Now? removed from the corpus its one cosmic present. It kept the Now as one invariant form of actualization, instantiated at innumerable crossings. But the cosmic present had been doing a second job that no essay had named: it was quietly supplying the unity of the cosmos. One Now, all beings together in it, therefore one universe. With the slice gone, the question it was answering returns unanswered. If there is no universal present, why is the multitude of continuants one world rather than an aggregate of unrelated temporal histories? The essay meets two opposed objections. The first says the corpus now holds a monadology without harmony, in which “the universe” is a courtesy name for a list. The second says cosmology already has a cosmic time and an age of the world, so the universe is simply one more continuant with its own lemniscate, and the cosmic Now should be taken back. Both are refused, and the refusal requires five words to be given five jobs: the Now, the one formal condition of temporal actuality; the crossing, a continuant’s instantiation of that condition; the full lemniscate, the topology of a knowing continuant’s successive actualization; the universe, the single physical created order containing the plurality of physical continuants and their relations; and the Ground, the Non Derivative on which the actuality of the whole order depends. The universe is not a continuant in the technical lemniscatic sense: its members bear worldlines within spacetime, but the physical order as a whole is not one more worldline-bearing member of the spacetime it comprises. The essay then argues that simultaneity could never have supplied cosmic unity even while it was believed in, because co-presence at a date is an external relation that makes a heap, not a world. The unity of the universe is placed where the tradition placed it, in order. The continuants belong to one physical order in which worldlines intersect, traces are received, and histories become constitutive of one another; and that whole order, with every actuality in it, depends upon one Ground that is no member of it. The two are not coequal ingredients of cosmic unity, for they do different work: order makes the cosmos one; Ground makes its oneness received. The essay closes by rereading Alpha and Omega: there is no single cosmic lemniscate of which we are crossings; there is a cosmos containing a plurality of temporal histories, whose unity lies not in one crossing but in the unity of its created order — an order that, in turn, receives its actuality from one Ground.


I. What the Slice Was Carrying

When a load-bearing wall is removed, the first question is whether the house still stands. The second, which is asked less often and matters more, is what else the wall had been holding up that no one knew it held.

Does Relativity Divide the Now? removed a wall. It granted the physicist his objection without qualification. Special relativity, by itself, supplies no frame-independent surface of simultaneity that gathers distant events into a universal present. The foundational essay’s “one shared present,” read as a claim about the far, was the one claim relativity forbids. The Now survived because it had never been that surface. It is the condition of temporal actuality at the crossing: one as a form is one, not as a slice is one. The house stood.

But the slice had been carrying something else, and the carrying was done in the grammar before it was done in the argument. Read again the sentence the relativity essay corrected:

Every being that exists, exists now — not in their own Now, but in the one Now that no one possesses because it is prior to possession itself.

The sentence does more than locate each being’s actuality. It gathers the beings. It puts the sleeper and the newborn and the galaxy into one room and calls the room the present. The word universe never appears in the sentence, yet the sentence is a cosmology: to be in the world is to be in the Now, and to be in the Now is to be together.

Alpha and Omega made the cosmology explicit. Whatever is occurring in a distant galaxy “is occurring at the same Now,” it said; both events “require the same ground in order to occur,” and “that ground is the Now.” Here the one Now is doing three jobs at once. It is the form of temporal actuality. It is the container in which all things are together. And it is the Ground on which they depend. Relativity took away the second job. The first survived the correction; the third had already been withdrawn by What Sustains the Now?, which found that the Now is not a being at all and so cannot be the Ground of anything.

So the question the slice was answering returns without its answer. If the many crossings do not share a present, what makes them crossings of one world? The thesis of this essay can be stated in a line: the multiplication of crossings does not multiply the universe. But a line is not an argument, and the corpus has learned to distrust lines it has not yet paid for.


II. The Objection at Full Strength

Two objections come, and they come from opposite sides. Each would be dangerous alone; together they close the road in both directions. Neither is worth answering in a softened form.

The first is the pluralist’s. You began, he says, with one Now and one universe inside it. Relativity forced you to one form and many crossings, and then the sustaining essay multiplied the lemniscate: one figure per continuant, as many as there are beings that undergo a history. Count what you now have: a vast plurality of temporal actualizations, each indexed to its own worldline, none of them related to any distant other by any frame-independent fact of simultaneity. That is not a cosmos. It is Leibniz’s monadology with the harmony removed: innumerable private histories, each actual at its own crossing, and nothing that makes them one. Your word universe has become a courtesy name for the list. You have not fragmented only the representation of the present; you have fragmented the world, and you have not noticed, because the old grammar still hums in your ear.

The second objection is the restorer’s, and it arrives with a physicist’s credentials. You surrendered the cosmic present too quickly, he says. Special relativity forbids a privileged frame, but the actual universe is not empty Minkowski space; it is filled with matter, and the matter picks out a frame. Cosmologists speak without embarrassment of cosmic time, of the age of the universe, of what the universe was like when it was a few hundred thousand years old. The universe has an age; so it has a history; so it is a continuant. And if it is a continuant, your own definitions give it a lemniscate and a crossing — a cosmic crossing, of which every local crossing is a part. Take your one Now back. Physics hands it to you.

The first objection says the corpus has lost the universe. The second says the corpus can have its universe back by making it one more continuant, the largest. The essay refuses both. The second must be refused first, because the first cannot be answered until the universe has been placed in the right category.


III. Five Words, Five Jobs

As so often in this topology, the confusion lives in words doing more than one job. Past was found doing three, future two, stops two, and now two. Here the trouble is not one word but a cluster, which the early essays let run together because the cosmic present held them in one hand: Now, crossing, lemniscate, universe, Ground. Released from that hand, each must be given its own work, and none may do another’s.

The Now is the one formal condition of temporal actuality: actual-only-at-the-crossing, operative identically on every worldline. It is one as a form is one. It is not a thing, not a container, and not a ground. The qualifier temporal is not decoration. The Ground is actual without being temporal, and is not actual under the Now; the Now is the form actuality takes in what is received serially, not the form of actuality as such.

A crossing is a particular continuant’s instantiation of that form: this being, at this event of its own history, actual. Crossings are innumerable. They are not simultaneous with one another by any frame-independent fact, and they need not be.

A lemniscate is the topology of one continuant’s successive actualization. It is the figure defined in What Sustains the Now?: a zero-thickness crossing where inheritance meets reception, flanked by the epistemic loops of memory and anticipation, and ordered by asymmetric condensation. Because its loops are epistemic acts, the full figure belongs to beings capable of memory and anticipation; of how far it extends beyond them, more is said below.

The universe is the single physical created order — spacetime, matter and energy, fields, and the physical relations that belong to them — within which physical continuants and their crossings stand in relation. It is not a crossing, not a lemniscate, and, as the next section argues, not a continuant. It is also not the whole of creation. Creation names everything derivative from God, visible and invisible; the universe is its physical order, and belongs with every other created reality to the wider unity of creation under the one Ground.

The Ground is the Non Derivative on which the actuality of the universe, and of all creation, depends. It is no member of the order, no point on any figure, and not the sum of the figures.

Set out in this way, the thesis stops being a slogan and the categories cease to slide into one another. Crossings multiply numerically. The Now does not multiply, because a form is not multiplied by its instances. The universe does not multiply, because an order is not multiplied by its members. The Ground does not multiply, because it is not in the series at all. The universe has many crossings without being many universes, for the same reason the Now has many crossings without being many Nows: in each case what multiplies is the instance, and what is one is of a different kind.

The five words also require a scope clarification of the mature definition, stated here as a clarification and not as an afterthought. What Sustains the Now? defined the Lemniscate as the topology of a continuant’s temporal actualization, and spoke of as many figures as there are beings that undergo one. This essay populates the cosmos with stars, galaxies, and the long chemistry of matter, and a star neither remembers nor anticipates. The scope is therefore fixed as follows. The full Lemniscate, with its loops of memory and anticipation, is reserved for continuants whose histories include those epistemic acts. Other physical continuants possess temporal histories — actual events at their crossings, an inherited constitution, traces left in others — without necessarily possessing the two loops. Temporal history is the general term; lemniscate is the specific one. This is all the present argument requires, since the unity of the cosmos concerns the relations of histories and not the presence of memory in them. Whether memory and anticipation are the personal forms of some more general retention and openness belonging to every continuant, so that the figure could be extended beyond knowers, would modify the mature definition, and is left to its own treatment. Whether a star has a lemniscate is not asked here.


IV. The Universe Is Not Another Continuant

Take the restorer’s objection first, because it is the stronger, and it offends physics least.

There is a real fact under it, and the fact should be stated plainly. In the homogeneous and isotropic models that frame modern cosmology, there is a distinguished family of observers: those at rest with respect to the average motion of the matter, for whom the cosmic background radiation looks the same in every direction. The proper time elapsed along their worldlines defines what cosmologists call cosmic time, and the age of the universe is measured in it. This is a physically well-motivated construction, not an arbitrary convention, and the corpus has no quarrel with it.

But notice exactly what it is, and the objection loses its footing. First, cosmic time is proper time along a family of worldlines. It is not proper time along the universe’s worldline, because the universe has no worldline. The age of the universe is the proper time elapsed, for comoving observers, since the hot dense phase: a measure the members share by the symmetry of their situation, not a clock carried by a whole. Second, the slicing it defines is physically motivated by the large-scale homogeneity of the matter, and the actual universe, lumpy with galaxies and voids, only approximates the symmetry that makes the slicing clean. Cosmic time provides a genuine cosmological foliation; what it does not do is turn that foliation into the actuality-Now of the topology. Third, and decisively for the topology: grant cosmic time every privilege physics can give it, and it is still a simultaneity-now — a hypersurface reaching across space to assign distant events a common coordinate. The categorical point of the relativity essay applies unchanged: the crossing is not a hypersurface, and no hypersurface is a crossing. A preferred slicing, however well motivated, is still a slicing. It is the right kind of thing to be a cosmologist’s time. It is the wrong kind of thing to be an actuality-Now.

This inference is marked, because actuality is the topology’s word and not physics’. Physics offers a preferred foliation adapted to the matter. It does not offer, and does not claim to offer, a condition of actuality. The topology neither disputes cosmic time nor borrows it.

Now the restorer’s deeper step: the universe has an age, so it is a continuant. Here the word continuant must be held to its technical sense, or the argument slides. If a continuant is merely anything that retains identity through change, one might try to call the universe one. But the lemniscatic continuant of the mature topology is more than that. It has a per-continuant history: successive crossings, an inherited constitution condensed at each, a horizon of reception faced at each, a temporal actualization indexed along its own line. To make the universe such a continuant, one would have to show that the physical order as a whole possesses exactly such a unitary history — a crossing of its own, at which its whole inheritance is condensed, distinct from the crossings of its members. That has not been shown, and it should not be assumed.

It should especially not be assumed on the ground that the members have worldlines. That the members possess worldlines does not entail that the physical order possesses a worldline of its own. To give the universe a cosmic worldline because its constituents have worldlines is to invent a cosmic observer and set it where the abolished present used to stand. The restorer’s gift is the old idol returned under a cosmologist’s name, as the relativity essay found it returned under a holy one when God was made the master clock.

But the conclusion can be made stronger than a refusal to assume, and the technical vocabulary of the topology is what makes it so. A lemniscatic continuant is worldline-indexed: its crossings are events along a curve in spacetime, and its proper time is the measure along that curve. A worldline is a curve within spacetime. The universe, taken as the physical order — spacetime together with its physical contents — is not another object traveling along a curve inside the spacetime it comprises. There is no place in the manifold for the manifold to be, and no curve in it along which the whole of it could move. Cosmic time does not change this: it is the proper time of a family of comoving observers, not the proper time of a cosmic super-observer. So the proposition this essay defends is categorical within its terms: the universe is not a continuant in the technical lemniscatic sense; its members possess worldlines within spacetime, but the physical order as a whole is not another worldline-bearing member of that spacetime. The universe contains continuants; it is not thereby one more continuant. The formulation leaves cosmology entirely alone. It does not deny that cosmologists may speak of the universe’s history, as they must, or that the universe changes; it denies only that such speech gives the physical order a crossing of its own.


V. The Unity That Simultaneity Could Not Supply

The pluralist can now be met, and the first thing to say to him is surprising. He has mourned the wrong loss. The cosmic present never supplied the unity he thinks it supplied — not even when the corpus believed in it.

Consider what simultaneity is, on its most generous reading: a relation of co-presence at a date. Let two stones, one on Earth and one on a planet of Andromeda, be granted for argument’s sake a shared instant. What does that make them? It makes them two stones that share a date. It does not make them parts of one world, any more than two strangers born on the same day in different cities are made one family by the calendar. Simultaneity is an external relation. It holds between its terms without entering into either, and it is indifferent to whether they have anything to do with one another. A heap whose members all share a date is still a heap. Had the cosmic present existed, it would have given the universe a common when. It would not have given the universe a common what.

The old grammar hid this, because it spoke of beings in the Now as though the Now were a room, and a room seems to unite what it contains. But a room unites its contents only because it is itself one thing with walls. The Now, as the corpus has always insisted, is not a thing, has no walls, and contains nothing. Take away the container metaphor and the unity it seemed to give goes with it — and was never there. The foundational essay’s intuition, that the sleeper and the newborn belong together, was sound. The account of why they belong together was borrowed from a relation that could never have borne the weight.

This changes what the relativity correction cost. The pluralist thinks the corpus lost cosmic unity when it lost the slice. It did not: the slice never had cosmic unity to lose. What the correction exposed was a place where an argument had been owed and a picture had been supplied. The question what makes the universe one? was open all along; the cosmic present only kept anyone from asking it. The subtitle of this essay names the discovery: there is a unity that simultaneity cannot supply. Relativity did not take that unity away. It showed that the corpus had never located it.


VI. The Unity of Order

Aquinas located it long before the question arose in this form. Asking whether there is only one world, he answered from order and not from co-presence: the world is called one by the unity of order, by which created things are ordered to one another, and all of them to God. His order is theological and metaphysical, wider than the physical cosmos; it embraces the whole of creation, visible and invisible. But the answer has exactly the right shape for the topology, because it places unity in the relations of the members and in their common reference, and not in a medium that holds them. Applied to the narrower question of this essay — what makes the physical universe one — the topology can give that answer a content of its own. This section takes the created relations; the next takes the Ground.

At the created level, the continuants are not windowless. Here the corpus parts company with Leibniz at the precise point where the pluralist wanted to join them. Leibniz’s monads have no windows; nothing enters or leaves them, and so their agreement had to be secured from outside, by a harmony pre-established at the creation. The Monad That Receives kept Leibniz’s indivisible subject and gave it the one thing Leibniz denied it: reception. A continuant that receives is not sealed. Its crossing is where its inheritance, condensed entire, meets what is newly given, and what is newly given comes, in large part, from other continuants. Worldlines intersect. Effects cross from one history into another within the light cone. Traces laid down at one being’s crossings are deposited into the constitution of another’s.

Look again at the traveler of the relativity essay, and at the friend who stayed behind with the clock. The traveler’s ten circuits and the friend’s slow second are two histories with two proper times, and between departure and reunion no frame-independent distant present holds them together. Yet he comes home. Their worldlines part at one event and meet again at another, and at the reunion the two histories touch: one event, co-located, about which no frame disputes. He can come back because his crossings and the friend’s belong to one relational order. What the traveler proves is not that there is a distant present he shares with the friend between the meetings — there is none — but that there is a world he shares with him. The reunion is not a coincidence of dates. It is an intersection within an order.

Condensation, the corpus’s name for how a present gathers its predecessor, is therefore not only intra-historical. My constitution is condensed from my own earlier crossings, but also from the crossings of others: the mother whose histories were deposited into mine before I had a history of my own; the teacher whose words became my grammar; the soil, the air, the long chemical inheritance of stars that finished their histories before this planet began its own. The histories are many, but they are not closed to one another. The universe is, among other things, the order in which the histories of its members become constitutive of one another.

Here the physics must be allowed to object, and it should. Not everything in the universe has touched everything else. Cosmology has causal horizons: regions whose light has never reached us and, in an accelerating expansion, some whose light never will. If the unity of the created order were the unity of actual interaction, it would fail at the horizon. Continuants on either side would belong to no common world, and the pluralist would have his heap after all, merely on a larger scale.

The objection is sound against a mistaken reading of the claim, and it clarifies the correct one. The unity of order is not the sum of the interactions that have occurred. It is not even the sum of the interactions that could occur. It is the common belonging of all the physical continuants to one relational order: one organization of events within which histories bear upon one another and, where they do, become constitutive of one another. One spacetime, its one causal structure, and the laws that hold throughout it are the physical articulation of that relational order, not a substitute for it. Shared laws alone would not suffice: two wholly disconnected worlds could obey exactly the same laws and still be two. What makes these histories one is that they stand within one causal structure, within which whatever relations obtain do obtain, and outside of which there is no “outside” for any continuant to stand in. Two galaxies beyond each other’s horizons have never exchanged a photon. But they are not strangers in the way two stones sharing a date are strangers, because they are members of one order, parts of one spacetime whose single causal structure is precisely what explains why their light cannot meet. The horizon itself is a feature of the one order, not a border between two. A relation that fails within an order is still a relation of that order.

The scope of this claim should be stated exactly, so that the title is not read as a cosmological theorem. The argument does not establish that no other physical order could exist, and it takes no side on multiverse proposals. It establishes what makes the physical order under consideration one order rather than a set of histories unified only by simultaneity. The universe we call one is one by order, not by simultaneity. That is the contribution, and it is all the title claims.

The lived datum is available to anyone who looks up on a clear night. The light arriving from a distant star is not a view of that star’s present; there is no such present to view. It is a trace, laid down at a crossing of the star’s history long since closed, now received at a crossing of mine — in the language of What Is the Past?, confluence that has ceased receiving, deposited into the constitution of what now is. I do not share a Now with that star. I share a world with it, and I receive its past as a part of my present. That is what the universe is, felt from inside: not the certainty that everything is happening at once, but the constant arrival, at my crossing, of what was actual at crossings not mine.


VII. The Unity of Dependence

The unity of order answers the pluralist: it is what makes the many histories one cosmos. It does not answer the question beneath his, which is why there is such an order at all. Does the Law Explain Itself? has already shown why: the physical order, taken as a whole, does not become its own ground by being taken as a whole. The laws that bind the continuants into one order are themselves determinate structures they do not confer upon themselves, and the sum of them, called the universe, is no exception. The physical order is one, but its oneness is derivative. It is received, like every actuality within it.

At the ontological level, then, what stands beneath the unity of the universe is not simultaneity but common dependence. Every one of its innumerable actualizations receives its being-actual from the same Non Derivative. The essay What Sustains the Now? established for a single continuant the principle that holds for all of them together: the Ground does not give by one act per crossing, strung along a divine schedule, but by one non-successive act under which each continuant’s crossings arise in series, because it is the continuant — not the Ground — that runs in a line. The many crossings are many receptions, not many givings. This yields a stronger cosmic unity than the old grammar could reach. The old grammar said: one universe, because one present contains everything. The mature topology says: one universe, because a plurality of continuants constitutes one physical order, related internally to one another; and that order, with its unity, is received from one Ground.

A guard is needed here, because it would be easy to make order and Ground two coequal ingredients of cosmic unity, and the argument does not permit it. They do different work. Common dependence unifies creation as creation: it makes everything that is not God one in the respect of having its being from God. But common dependence, considered by itself, does not specify the created relations by which this physical order is one cosmos. That is the work of order: the intersecting worldlines, the received traces, the one spacetime and its one physics. What the Ground does is not to add a second bond alongside the first, but to explain why that one order is actual at all, and why its unity is derivative rather than self-grounding. Whether God could create another physical order, unrelated to this one, the essay does not need to settle, and physics may one day speak to the multiverse on its own terms. The formula is simple: order makes it one; Ground makes its oneness received. Order without Ground would be the naturalist’s brute fact, which the law essay found to be a decision and not a discovery. Ground does not stand in for order; it stands beneath it.

The one-and-many structure now appears at three levels, and the corpus should keep them apart as carefully as it keeps apart the loops and the crossing. The Now is one form of temporal actuality, instantiated at innumerable crossings; its unity is formal, the sameness of a condition. The cosmos is one physical created order, constituted by innumerable continuants; its unity is relational, the unity of order, received. The Ground is one Non Derivative, grounding the actuality of all without becoming a member of any; and its unity is not a created unity at all — not the unity of a form shared by instances, nor of an order among members, but the simplicity of what has no instances and no members, because it is not one of the things.

The disciplined vocabulary follows. After the relativity essay, the corpus should not say that there are “many Nows.” There are many crossings, many local actualizations, many temporal histories; there is one Now. One Now formally; innumerable crossings numerically. By exact analogy: one universe as physical created order; innumerable continuants as its members. And one Ground, which is neither a formal unity nor an ordered one, and which must never be counted as the last and largest term of either series.

A last guard, because the three-level picture invites a familiar error. If the universe is one order and the Ground is what the order depends on, it is tempting to picture the Ground as the order’s soul, and the universe as a body animated from within by the divine. That picture must be refused as firmly as the corpus refused the master clock. The Ground is no more the soul of the universe than it is the center of the lemniscate. A soul is an intrinsic principle of what it animates; the Ground is not within the universe as its form, part, or intrinsic principle. It is not the form of the world, not its largest member, and not its sum. It is present to every created thing, as the doctrine of immensity teaches, without being contained by any or entering any as one component among others. It is the reason there is a world to have a form. Creation is one because it is ordered; that order is grounded and not self-subsisting. It is not one because God is its inner life, and the distinction between the Creator and what He makes is not softened by the fact that what He makes is one. The philosophical Ground named here is no rival to, and no narrowing of, the God the Church confesses as Creator: the creation of all things, visible and invisible — of which this physical universe is one order — and their being held together, is the one work of the Triune God, Father, Son, and Spirit.


VIII. Alpha and Omega, Reread

It remains to do for Alpha and Omega what Does Relativity Divide the Now? did for the foundational essay: name the sentences the correction exposed, keep what they meant where it can be kept, and withdraw what they said where it cannot. A system matures more honestly by naming its loose sentences than by insisting they were never loose.

“The Now you are in is the only Now there is.” This survives, but only formally. Read as a claim about the form of temporal actuality, it is exactly the mature doctrine: there is one condition of temporal actuality and no other mode in which any temporal being is real. Read as a claim that everything in the universe is in the Now I am in — that my present is the cosmos’s present — it is withdrawn. My crossing is mine; the galaxy’s crossings are the galaxy’s. The Now is one; the crossings are not.

“Whatever is occurring in a galaxy millions of light years from this page is occurring at the same Now.” This is withdrawn. The earlier essay sensed the danger and tried to protect the claim, saying it concerned ontological co-actualization rather than relativistic simultaneity. But co-actualization at a shared Now across spacelike separation is the simultaneity-now under another name: the very frame-independent relation among distant events that relativity abolishes. The replacement is not a weaker version of the same claim but a different claim: each event is actual at its own crossing, under the same condition, and neither needs the other’s date in order to be real.

“Both events — here and there — require the same ground in order to occur. That ground is the Now.” This sentence contains claims the mature corpus has separated, and they must be judged separately. The first is true and is kept: here and there require the same Ground. The inference quietly drawn from it — that here and there therefore occupy the same Now — is withdrawn, because relativity broke that equivalence. The identification of the Ground with the Now is withdrawn more deeply still, since What Sustains the Now? found the Now to be the invariant form of a continuant’s reception of actuality, and the Non Derivative to be what grounds that actuality. The mature sentence is simple: distant events do not need to share a Now in order to share a Ground. The relativity essay reached its temporal form — the crossings need not share a temporal coordinate in order to share a Ground. This essay adds its cosmological form: the crossings need not share one present in order to belong to one universe.

“Distant from here, near to there.” The intuition survives, purified, and it is among the best things the earlier essay said. What it meant was that divine presence is not spatial proximity: the farthest galaxy is as near to the Ground as the thought now being thought. That is true, and it is the doctrine of immensity that What Is the Now? mapped onto the per-continuant figure — the Ground present to each crossing entire and undivided, according to that crossing’s own mode. What must go is the mechanism the earlier essay gave. Nearness to the Ground is not had by standing at one shared crossing point where nothing is far because everything is simultaneous. It is had because each crossing is present, at its own crossing, to a Ground that is not spread across the distance and so has no distance to close. The accompanying claim that space is within the Now rather than the Now within space is withdrawn as well. The Now is neither in space nor a container of space. It is a form, and a form does not contain.

“We cannot see the lemniscate whole. We are one of its crossings.” This is withdrawn as a literal claim and replaced by a truer one. There is no single cosmic lemniscate of which we are crossings, because the universe is not a continuant and has no lemniscate to trace. There is a cosmos containing a plurality of temporal histories, among them the lemniscatic histories of those who remember and anticipate; its unity lies not in one crossing but in the unity of its created order; and that order, in turn, receives its actuality from one Ground. The humility of the original sentence survives the correction: we cannot see the whole. But the whole we cannot see is not a larger figure containing ours. It is an order of histories, of which ours is one among innumerable, grounded in what is no figure at all.

Two larger themes of that essay deserve a word. Its theological reading of heat death — the universe as tracing a figure that tends away from the crossing point — was offered as theology and not physics; its figure must now be withdrawn, since there is no cosmic figure to trace. Its conviction survives in the form What Sustains the Now? gave it: creation does not drift toward nothing, because it was never standing on its own to begin with, and its being-actual is constituted, not propped. And Alpha and Omega survive as the title always meant them: not the first and last events on a timeline, but the one Ground at both ends of every figure. The orientation of creation toward its Omega can be affirmed of the created order without making that order a continuant, because the unity of order is, for Aquinas, precisely the ordering of created things to one another and to God as their end. An order can have an end without having a crossing. What is withdrawn is only the picture of that end as the terminus of one cosmic worldline.


IX. A Formal Statement

Three sentences, offered as the definitions this essay exists to fix.

The universe is the single physical created order within which innumerable continuants, each actual only at its own crossings, stand in relation; it belongs, with every other created reality, to the wider unity of creation under one Ground. It is not a continuant in the technical lemniscatic sense: its members possess worldlines within spacetime, but the physical order as a whole is not another worldline-bearing member of that spacetime. The multiplication of crossings is therefore a multiplication of histories within one order, not of orders.

The unity of the universe is not the unity of a simultaneous present, which relativity abolishes and which could never have supplied it, since co-presence at a date is an external relation that makes a heap and not a world. It is the unity of order: the belonging of all physical continuants to one relational order, articulated physically in one spacetime and its causal structure, in which their histories intersect and become constitutive of one another. That order, with every actuality in it, depends upon one Ground that is no member of it. Order makes the cosmos one; Ground makes its oneness received.

One Now formally, innumerable crossings numerically; one physical order relationally, innumerable continuants; one Ground Non Derivatively, grounding the actuality of all without joining the series. Distant events need not share a Now in order to share a Ground, and need not share one present in order to belong to one universe.

Or, in the briefest form, five words and five jobs, none doing another’s:

The Now tells how a continuant is actual. The crossing tells in which event of that history that actuality is instantiated. The lemniscate describes a knowing continuant’s temporal actualization. The cosmos tells how physical histories belong to one order. The Ground tells why that order, and every actuality within it, is at all.


X. Coda

The traveler comes home again, and this time what matters is not that he is younger. It is that there is a home to come to. His ten circuits and his friend’s slow second are two histories along different worldlines, accumulating different proper times, crossing by crossing. Between departure and reunion no frame-independent distant present held the traveler and the waiting friend together; their proper times differed, and their histories followed different paths. Yet the paths began at one event, and they meet again at another. The door opens, he walks in, and the friend who watched him go is there. The meeting is not a coincidence of calendars. It is an intersection within an order that was one the whole time he was gone, though no distant present held them together.

The corpus lost a picture and kept a world. It gave up the room called the present, in which everything was supposed to be together, and found that the room had never been what made anything together. What does that work is order — the stars whose light is still arriving, the mother whose crossings are condensed in mine, the traveler’s reunion, the horizon beyond which galaxies are still of this world though they never meet — and, beneath the order, present to all of it without being any part of it, the One from whom the whole of it and every crossing in it receives being. He is not the present of the universe, not its master clock, and not its soul. He is the reason there is a universe to have crossings at all. The many are one not because they are simultaneous, but because they are ordered; and the very fact of being ordered they receive from

I AM WHO I AM



References

  • The Holy Bible. Revised Standard Version, Second Catholic Edition. Ignatius Press, 2006. (Wisdom 11:20; Colossians 1:16–17; Revelation 1:8; 22:13; Exodus 3:14.)
  • Aquinas, Thomas. Summa Theologiae. Translated by Fathers of the English Dominican Province. Christian Classics, 1981. (I, q. 8, on immensity; q. 47, a. 3, on the unity of the world by the unity of order; q. 104, on the conservation of things in being.)
  • Leibniz, Gottfried Wilhelm. Monadology. 1714. (On windowless monads and pre-established harmony.)
  • Einstein, Albert. “On the Electrodynamics of Moving Bodies.” 1905.
  • Weinberg, Steven. Cosmology. Oxford University Press, 2008. (On the Robertson–Walker metric, cosmic time, and horizons.)
  • Rindler, Wolfgang. “Visual Horizons in World Models.” Monthly Notices of the Royal Astronomical Society 116 (1956): 662–677.
  • Gaitan, Oscar. Does Time Need Me, or Do I Need Time? The Ontology of the Now, the Invariance of Presence, and the Ground of Being. 2026.
  • Gaitan, Oscar. Alpha and Omega: On the Cosmos, the Now, and the God Who Holds Both Ends. 2026.
  • Gaitan, Oscar. The Monad That Receives: On Leibniz, Indivisibility, and the Possibility of Relation. 2026.
  • Gaitan, Oscar. What Is the Past? On Closed Confluence, Condensation, and the Being of What Has Been. 2026.
  • Gaitan, Oscar. What Is the Now? On Simultaneity, the Single Point, and the Closing of the Figure. 2026.
  • Gaitan, Oscar. What Sustains the Now? On the Mature Lemniscate, Constitutive Dependence, and the Ground Beneath the Figure. 2026.
  • Gaitan, Oscar. Does the Law Explain Itself? On Physical Order, the Two Stops, and the Ground the Figure Cannot Supply. 2026.
  • Gaitan, Oscar. Does Relativity Divide the Now? On Time Dilation, the Relativity of Simultaneity, and the Now That Is Not a Slice. 2026.


Further Reading

Book

  • The Lemniscate of Time: A Geometric Meditation on Eternity and Temporal Succession
    ISBN: 9798248842360
    Zenodo: DOI: 10.5281/zenodo.18684516


Selected Essays