# The Lawful Chance Argument ## Intro Physics has found something strange at the bottom of the world. When a single atom decays, or a single photon hits a screen, nothing in the past seems to decide exactly when or where. On the most common readings of quantum mechanics, the single event is genuinely open. And yet, when you count millions of such events, they fall into a pattern so exact that physicists can predict it to many decimal places. That is an odd combination. The single case is not pushed by any cause, but the whole crowd of cases keeps to the rule perfectly. Something governs the outcome without forcing it. Chance turns out to be lawful. The Lawful Chance Argument asks what best explains a law that rules events no physical cause fixes. It does not say quantum physics proves God, and it does not say that a mind makes particles behave. It says that lawful chance is just what you would expect if a faithful will governs the world, and that it is left as a brute puzzle if it does not. Thousands of years before physics, a proverb put it this way: the lot is cast, but the whole outcome belongs to the Lord. ## In full The Lawful Chance Argument is a likelihood argument from the structure of quantum probability. Its explanandum is the conjunction of two well-established features of quantum phenomena: on the leading indeterministic readings, individual measurement outcomes are not fixed by any prior physical state, and Bell's theorem together with loophole-free Bell tests rules out local hidden variables that would fix them; yet the statistics of outcomes conform to the Born rule with high precision. The puzzle is the one David Lewis pressed in the metaphysics of chance: a Humean account that identifies chance with the pattern of frequencies describes the regularity but does not govern it, while a primitive propensity governs only by stipulation, leaving unexplained why unfixed single cases reliably produce the lawful distribution. The deterministic interpretations do not escape the question; they relocate it, Bohmian mechanics to a special typical initial configuration (quantum equilibrium) and Everettian mechanics to the contested derivation of probability in a branching universe. The spine (P1 to P5) argues that a law governing undetermined events is far more expected if the world's order is the expression of a faithful, governing will, which classical theism calls providence working through and with secondary causes (concurrence), than on naturalism, where lawful chance must be taken as brute. The conclusion is confirmatory and modest: the data favour theism over naturalism, and the argument's strength depends on interpretive questions in physics that remain open, which the ledger states honestly. ## Format note This page is a **braided case**: a valid deductive spine whose premises each rest on three supports, an inductive strand of evidence, an abductive comparison of rival explanations, and a convergence note on independent fields, followed by a knot that checks for double counting, a likelihood ledger and a defeater gate. Here the braid runs through four fields. **Quantum physics** supplies the data: open single outcomes and the exact Born statistics. **Mathematics** supplies the shape of the problem, since a probability law is a measure over outcomes and says nothing about any single one. **History** supplies the debate, from Einstein's resistance to dice to the Bell experiments that settled what can and cannot be rescued. **Theology** supplies the hypothesis, a God whose providence governs the lot without forcing it. More arguments in this format are gathered at [Ris3n Arguments](/codex/ris3n-arguments/). ## The spine | # | Premise | |---|---| | **P1** | **Open single cases.** On the leading indeterministic interpretations of quantum mechanics, the outcome of an individual quantum measurement is not fixed by any prior physical state, and Bell's theorem with loophole-free tests rules out local hidden variables that would fix it. | | **P2** | **Exact ensembles.** Taken together, quantum outcomes conform to the Born rule with high and repeatedly tested precision. | | **P3** | **The governing gap.** A law that governs undetermined single events, so that unfixed cases reliably produce a lawful distribution, is far more expected if a governing will orders the cases than if the law is brute; and the deterministic interpretations relocate rather than remove this demand. | | **P4** | **The hypotheses.** Theism posits exactly such a will (providence acting with secondary causes); naturalism must take lawful chance, or the special conditions that produce it, as a brute fact. | | **P5** | **The likelihood principle.** Evidence that is far more expected on one hypothesis than another confirms the first over the second. | | **C** | **Therefore lawful chance in quantum physics confirms theism over naturalism: it is evidence for a God who governs the lot without forcing it.** | **Validity.** P1 and P2 establish the datum, open single cases under an exact statistical law. P3 says that datum is far more expected given a governing will than given brute law, and adds that the deterministic readings face the same demand in another place. P4 assigns the first hypothesis to theism and the second to naturalism. So the datum is more expected on theism, and by P5 it confirms theism. The form is a likelihood comparison closed by modus ponens on the likelihood principle. **Strength of the conclusion.** Confirmatory, not demonstrative, and modest. The argument does not need any particular interpretation of quantum mechanics to be true, but its force varies by interpretation, as the ledger shows. ## P1, Open single cases ### Inductive strand 1. **Born's rule was probabilistic from the start.** Max Born, "Zur Quantenmechanik der Stoßvorgänge" (*Zeitschrift für Physik* 37, 1926), introduced the reading of the wavefunction as giving the probability of an outcome, not the outcome itself. He received the 1954 Nobel Prize in Physics for the statistical interpretation. 2. **Einstein's resistance shows what was at stake.** Writing to Born on 4 December 1926, Einstein granted that quantum mechanics was impressive but said an inner voice told him it was "not yet the real thing," and that he was convinced the Old One was not playing dice (translations of that line vary). Einstein wanted a deeper determinism under the dice. 3. **Bell showed the price of that determinism.** John S. Bell, "On the Einstein Podolsky Rosen Paradox" (*Physics* 1, 1964), proved that any theory with local hidden variables must satisfy inequalities that quantum mechanics violates. 4. **The experiments sided with quantum mechanics.** Hensen et al., "Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres" (*Nature* 526, 2015), closed the main loopholes in one experiment; the 2022 Nobel Prize in Physics went to Alain Aspect, John Clauser and Anton Zeilinger for experiments with entangled photons establishing the violation of Bell inequalities. 5. **The openness can be certified.** Pironio et al., "Random numbers certified by Bell's theorem" (*Nature* 464, 2010), showed that an observed Bell violation guarantees, under the assumption that signals do not travel faster than light, that the outputs were not fixed in advance by anything available to the devices. 6. **Collapse theories make the openness physical.** The objective collapse model of Ghirardi, Rimini and Weber (*Physical Review D* 34, 1986) builds genuine chance into the dynamics itself, with no observer involved. ### Abductive strand | Explanation of P1's data | Explanatory power | Scope | Simplicity | Ad hoc? | |---|---|---|---|---| | Genuine indeterminism (standard textbook readings, collapse theories) | Explains Bell violations and certified randomness directly | Covers all single-outcome data | One posit: outcomes are not fixed | No | | Nonlocal determinism (Bohmian mechanics) | Reproduces all predictions with hidden particle positions | Full | Adds positions and a guiding equation | No, but it accepts nonlocality | | Local determinism (Einstein's hope) | Fails | Ruled out by Bell plus experiment, short of superdeterminism | Simple | Superdeterminism is widely judged ad hoc | ### Convergence Theoretical physics (Born, Bell), experimental physics (Hensen, the 2022 Nobel work) and quantum information science (Pironio's certified randomness) reach P1 by different methods. The information scientists use the openness as a working resource, which is strong evidence that it is not a philosophical gloss. ### Objections and rebuttals 1. *"Bohmian mechanics is deterministic, so P1 is false."* **Rebuttal.** P1 is stated for the indeterministic readings, which are widely held, and the argument does not stop there. P3 shows that Bohmian mechanics moves the same question to the initial conditions; see below. 2. *"Unpredictable is not the same as uncaused."* **Rebuttal.** Agreed, and the argument relies on that distinction. P1 says no prior *physical* state fixes the outcome. It leaves open whether a non-physical cause governs it, which is the question the argument asks. See [Quantum Fluctuations Are Uncaused Objection Defeater](/codex/quantum-fluctuations-are-uncaused-objection-defeater/) for why indeterminism does not mean something comes from nothing. ## P2, Exact ensembles ### Inductive strand 1. **The Born rule is among the best-tested rules in science.** Every quantum prediction of relative frequencies, from atomic spectra to semiconductor devices, runs through it. 2. **Direct tests of its form.** Sinha et al., "Ruling out multi-order interference in quantum mechanics" (*Science* 329, 2010), used a three-slit experiment with single photons to bound any deviation from the Born rule's pairwise interference structure to less than about one percent of the expected two-path term; later work has refined and debated the method. 3. **The rule is mathematically precise.** The probability of an outcome is the squared magnitude of an amplitude. It is not a rough tendency; it is a measure over outcomes with exact values. ### Abductive strand | Explanation of P2's data | Explanatory power | Scope | Simplicity | Ad hoc? | |---|---|---|---|---| | A real law governs the frequencies | Explains why the pattern holds in every lab | Universal | One posit | No | | Lucky frequencies with no law | Explains nothing; predicts the pattern should fail | None | Simple | Contradicts the success of prediction | ### Convergence Mathematics (probability as a measure), experimental physics and engineering (devices designed on Born statistics that work) converge on P2. Even critics of the theistic reading accept P2 without reservation. ### Objections and rebuttals 1. *"Of course large numbers average out; that is just the law of large numbers."* **Rebuttal.** The law of large numbers says frequencies approach the probabilities *if* the events are governed by those probabilities. It does not say why the world's events have the probabilities the Born rule assigns rather than any others, or any at all. ## P3, The governing gap ### Inductive strand 1. **The mathematics says nothing about the single case.** A probability measure assigns weights to outcomes; no outcome is ever entailed. Yet each single case, on P1, comes out one way, and the cases together keep the measure. 2. **Humean chance describes but does not govern.** On David Lewis's best-system account, chances are whatever the simplest and strongest summary of the actual pattern of events says they are. In "Humean Supervenience Debugged" (*Mind* 103, 1994), Lewis argued that any rival, non-Humean primitive chance owes an account of why knowing it should guide rational credence, and doubted one could be given. On his own view, though, nothing makes the pattern hold; the pattern simply is the chance. 3. **Primitive propensities govern by stipulation.** If chance is a basic disposition of each system, then each single case has a tendency, but why do the unfixed outcomes of separate systems, never in contact, reliably add up to the exact measure? The propensity view names that fact; it does not explain it. 4. **Bohmian mechanics relocates the question.** Dürr, Goldstein and Zanghì, "Quantum Equilibrium and the Origin of Absolute Uncertainty" (*Journal of Statistical Physics* 67, 1992), derive Born statistics in a deterministic Bohmian universe from the claim that the actual initial configuration is typical with respect to the squared-amplitude measure. The order is then built into the initial conditions, and the choice of that measure is a further posit. 5. **Many-worlds relocates it again.** In Everett's theory (*Reviews of Modern Physics* 29, 1957) every outcome occurs, so the meaning of probability becomes the central problem. The leading decision-theoretic derivations (Deutsch, Wallace) and their critics are collected in Simon Saunders, Jonathan Barrett, Adrian Kent and David Wallace, eds., *Many Worlds? Everett, Quantum Theory, and Reality* (Oxford, 2010). The derivation remains contested. ### Abductive strand | Explanation of lawful chance | Explanatory power | Scope | Simplicity | Ad hoc? | |---|---|---|---|---| | A governing will orders single cases faithfully over the whole (providence and concurrence) | Explains both the openness of each case and the exactness of the whole | All interpretations: on deterministic ones it explains the special initial measure | One posit, already needed for other reasons on theism | No: the doctrine predates physics (Proverbs 16:33) | | Humean pattern (Lewis) | Describes the pattern; gives no reason it holds | Wide | Simple | Not ad hoc, but gives up governing | | Primitive propensity | Governs by definition | Wide | Adds a basic disposition per system | Partly: names the link it needs | | Typical initial conditions (Bohm) | Explains the statistics from one special start | Wide | Moves the question to the beginning | Partly: the typicality measure is posited | | Branching (Everett) | Contested whether it yields probability at all | Wide | Elegant dynamics | The probability story is still debated | ### Convergence Metaphysics of science (Lewis and his critics), foundations of physics (Dürr, Goldstein and Zanghì; the Everett literature) and theology (Aquinas) reach the same structural point from different directions: either the order of chance is governed by something, or it is a brute fact about the pattern or the start. The physicists and metaphysicians named here do not draw the theistic conclusion. ### Objections and rebuttals 1. *"Brute law is simpler than God."* **Rebuttal.** It is simpler only by explaining less. The brute option must take as basic not one fact but an endless series of coordinated facts: each open case, in every lab, falling so that the whole keeps the measure. A will that orders the whole explains the coordination with one posit. 2. *"This is a God of the gaps."* **Rebuttal.** The argument does not rest on what physics does not know. It rests on what physics has established: Bell violations and Born statistics. The gap it names is conceptual, the difference between describing a regularity and governing it, and more physics does not close it. 3. *"Laws do not need anything behind them."* **Rebuttal.** That is a substantive metaphysical claim, the Humean one, and it has a cost: on it, laws explain nothing, because they are only summaries of what happens. See [Laws of the Universe as Witness to Design](/codex/laws-of-the-universe-as-witness-to-design/). ## P4, The hypotheses ### Inductive strand 1. **Theism predicts governed contingency.** Thomas Aquinas taught that providence does not impose necessity on everything it governs; God provides necessary causes for some effects and contingent causes for others (*Summa Theologiae* I, q.22, a.4). In *Summa contra Gentiles* III.70 he argued that the same effect is wholly from God and wholly from the natural agent, at different levels. See [Divine Providence](/codex/divine-providence/). 2. **Scripture names lots as governed.** The lot is the ancient picture of pure chance, and Proverbs says its whole outcome belongs to the Lord ([Proverbs 16:33](/codex/proverbs-16-33/)). The apostles cast lots when choosing Matthias, praying first that God would show His choice ([Acts 1:24-26](/codex/acts-1-24-26/)). 3. **Modern theologians proposed the same at the quantum level.** William G. Pollard, a physicist and Episcopal priest, argued in *Chance and Providence* (Scribner, 1958) that quantum indeterminacy is where God's governance of nature operates without violating physical law. Peter van Inwagen, "The Place of Chance in a World Sustained by God" (in Thomas V. Morris, ed., *Divine and Human Action*, Cornell, 1988), argued for a different model, in which God sustains the world and its powers but some outcomes are not individually decreed. The argument here needs only what both share: the law of chance itself is God's ordinance. 4. **Naturalism has no governor.** On naturalism the laws and initial conditions are the end of explanation. Lawful chance is then a basic feature of reality with nothing behind it. ### Abductive strand The theist has two models and the argument works on both. On the Pollard model, God governs each case. On the van Inwagen model, God governs the law, and the law governs the cases. Either way the governing is real. Naturalism's best move is to deny that governing is needed, which is the subject of the defeater gate. ### Convergence Classical theology (Aquinas), Hebrew wisdom (Proverbs), modern physics-and-theology (Pollard; Robert John Russell's later work on divine action) and analytic philosophy of religion (van Inwagen) reach the same picture by independent routes, and the oldest of them long predates the physics. ### Objections and rebuttals 1. *"If God picks every outcome, chance is fake."* **Rebuttal.** Chance in physics means that no prior physical state fixes the outcome. A will that is not a prior physical state does not make it fake; it explains why the openness is lawful. On van Inwagen's model, God does not pick every outcome at all. 2. *"Does God then decide every evil accident?"* **Rebuttal.** That is the problem of evil, not a problem for this argument, and it is treated at [Problem of Evil](/codex/problem-of-evil/) and [Divine Sovereignty](/codex/divine-sovereignty/). The argument establishes governance of the law, not a theory of every particular evil. ## P5, The likelihood principle ### Inductive strand The principle that evidence favours the hypothesis on which it is more expected is the comparative core of Bayesian confirmation and is used throughout science. See [Bayesian Probability](/codex/bayesian-probability/). ### Abductive strand Its rival, that no evidence confirms anything without known priors, would undercut confirmation in physics itself. ### Convergence Bayesians and likelihoodists agree on this comparative use, whatever they think about priors. ### Objections and rebuttals 1. *"You cannot assign a likelihood to brute fact."* **Rebuttal.** Then brute fact makes no prediction at all, which is exactly why a hypothesis that predicts governed regularity does better on the evidence. ## The knot The strands come from different methods: theoretical proofs (Born, Bell), experiments (Hensen, Pironio, Sinha), metaphysics (Lewis), foundations of physics (Dürr, Goldstein and Zanghì; the Everett volume), theology (Aquinas, Pollard, van Inwagen) and ancient scripture. Two overlaps are counted once. First, P1's experimental strand (Bell tests and certified randomness) is one family of evidence for one claim. Second, the theological strand is not independent evidence for the datum; it is the hypothesis being tested, and its antiquity matters only to show it is not ad hoc. The central datum is not any one row. It is the conjunction of openness and exactness, which on naturalism are two unexplained facts and on theism one governed order. ## The ledger Prior-agnostic: the ledger asks only how expected each datum is under each hypothesis. The ratings are reasoned judgments from the sections above, not measurements. | Datum | How expected on theism | How expected on naturalism | Favours | Why | Independent? | |---|---|---|---|---|---| | A lawful, mathematically ordered world at all | High | Moderate to low | Theism, modestly | General argument from law; see [Laws of the Universe as Witness to Design](/codex/laws-of-the-universe-as-witness-to-design/) | Yes, but shared with other arguments; count once across the codex | | Single outcomes not fixed by prior physical states (on indeterministic readings) | Moderate | Moderate | Roughly even | Either hypothesis can accommodate openness by itself | Yes | | Open single cases that keep an exact statistical law | High | Low to moderate | Theism, modestly to clearly | Governing without forcing needs a governor; brute law describes but does not govern | The conjunction of the row above with P2 | | On Bohmian mechanics, Born statistics from a special typical start | High | Moderate | Theism, modestly | The order is in the initial measure, which naturalism takes as given | Alternative to the row above, not additional | | On Everett, contested probability | Moderate | Unknown | Unclear | If the derivation succeeds, the gap narrows; if it fails, the theory struggles to recover the data | Alternative to the rows above | **Net.** The rows do not stack, because the interpretations are alternatives; only one of the last three applies. On the indeterministic readings, which are widely held, the argument modestly to clearly favours theism. On Bohmian mechanics it reduces to a fine-tuning point about initial conditions. On Everett its force waits on an open debate. Honestly stated, the argument is a real but modest contribution to the [Cumulative Case for Christian Theism](/codex/cumulative-case-for-christian-theism/). ## The defeater gate **The Humean reply.** The strongest objection is that the argument assumes laws must govern. On the Humean view defended by David Lewis, a law of nature, chancy laws included, is just part of the simplest true summary of the whole pattern of events; nothing stands behind it or makes it hold. There is no governing gap, because there is nothing to govern: the world is a mosaic of facts, and the Born rule is a compact description of how the mosaic happens to look. The reply has three parts. 1. **On Humeanism, the Born rule explains nothing.** If the rule is only a summary of the frequencies, then saying "the photon landed here because of the Born rule" is like saying the frequencies hold because the frequencies hold. Physicists use the rule to predict and explain; the Humean must say this use is loose talk. That is a high price for a view adopted to avoid a governor. 2. **Humeanism makes the success of prediction a coincidence.** If nothing makes the future match the summary of the past, then every successful quantum prediction is a fortunate continuation of a pattern that had no reason to continue. The theist and the non-Humean naturalist both expect it. 3. **The non-Humean naturalist faces the gap directly.** If the naturalist instead says laws really govern, then the question returns: what governs undetermined cases into an exact measure? A primitive governing law with no lawgiver is a governing with no governor, the very gap P3 names. What the gate concedes: a determined Humean can accept brute pattern and pay the price in explanation, and the argument cannot force the choice. Its claim is comparative. A world of lawful chance is far more at home on a view where governing is real and has a source. ## Concessions - *Grant:* quantum mechanics does not prove God, and its interpretation is unsettled. *Now collect:* every interpretation must say where the order of chance comes from, and none can say "nowhere" without giving up explanation. - *Grant:* Bohmian mechanics is deterministic and empirically adequate. *Now collect:* it buys determinism by placing the Born statistics in a special initial measure, which is a fine-tuned start that a Creator explains. - *Grant:* chance is real, not hidden determinism. *Now collect:* then the cosmos runs on governed openness, which is what [Proverbs 16:33](/codex/proverbs-16-33/) describes. - *Grant:* Einstein was wrong about local hidden variables. *Now collect:* his instinct that the dice need explaining survives; a law of dice still needs more than a description. ## Cheatsheet **The 30-second version (read aloud).** Einstein said God does not play dice. Experiments since then say the single quantum event really is open: no hidden gear inside decides it. But here is the strange part. Billions of those open events add up to a pattern physicists can predict to many decimal places. Something governs the outcome without forcing it. A brute law can describe that pattern, but it cannot govern anything. A faithful will can. The Bible said it three thousand years ago: the lot is cast into the lap, but the whole disposing of it is of the Lord. **Fast facts:** 1. Born (1926): quantum mechanics gives probabilities of outcomes, not outcomes. 2. Bell (1964) and Hensen et al. (*Nature*, 2015): no local hidden variables fix the results. 3. Pironio et al. (*Nature*, 2010): Bell violations certify that outputs were not fixed in advance. 4. Sinha et al. (*Science*, 2010): the Born rule's structure tested in a three-slit experiment. 5. Dürr, Goldstein and Zanghì (1992): even deterministic Bohmian mechanics gets Born statistics only from a special, typical start. **The closing line.** Chance that keeps a law is not chaos; it is government. ## Cross-examination ### Round 1, Is the single case open? - **Q:** Do you accept that loophole-free Bell tests rule out local hidden variables? - **If they say yes:** then either outcomes are open, or determinism is nonlocal and depends on a special start. Which do you hold? - **If they say no:** ask which loophole remains open after 2015, and note the 2022 Nobel committee's judgment. ### Round 2, Does a law govern? - **Q:** When a physicist says the Born rule explains why the photon pattern looks like this, is that a real explanation? - **If they say yes:** then something governs undetermined events. What is it? - **If they say no, it is only a summary:** then every successful quantum prediction is a coincidence you must accept. ### Round 3, The relocation - **Q:** If you prefer Bohm or Everett, where does the Born measure come from? - **If they say from the initial conditions:** then the order of chance is fine-tuned into the start. - **If they say from branching:** ask whether the derivation of probability is settled; the specialists say it is not. ### Dodge table | Dodge | What it concedes | Reply | |---|---|---| | "It is just random." | Single cases are open | "Random and lawful at once. What keeps the randomness to the rule?" | | "That is just how nature is." | No explanation is offered | "That is a description. I am asking what governs." | | "Quantum mysticism." | Nothing about the data | "I have not said a mind collapses anything. I said open outcomes keep an exact law." | | "Bohm fixes it." | The order is in the start | "Then the start was set to the Born measure. Who set it?" | ## Live-cite kit **Scripture (ASV):** - [Proverbs 16:33](/codex/proverbs-16-33/): The lot is cast into the lap; But the whole disposing thereof is of Jehovah. ([Proverbs 16:33](/codex/proverbs-16-33/), ASV) - [Matthew 10:29-30](/codex/matthew-10-29-30/): Are not two sparrows sold for a penny? and not one of them shall fall on the ground without your Father: but the very hairs of your head are all numbered. ([Matthew 10:29-30](/codex/matthew-10-29-30/), ASV) - [Acts 1:26](/codex/acts-1-26/): And they gave lots for them; and the lot fell upon Matthias; and he was numbered with the eleven apostles. ([Acts 1:26](/codex/acts-1-26/), ASV) - [Colossians 1:17](/codex/colossians-1-17/): and he is before all things, and in him all things consist. ([Colossians 1:17](/codex/colossians-1-17/), ASV) **Scholarly:** - Max Born, *Zeitschrift für Physik* 37 (1926): the wavefunction gives probabilities. - John S. Bell, *Physics* 1 (1964): local hidden variables cannot reproduce quantum predictions. - B. Hensen et al., *Nature* 526 (2015): a loophole-free Bell violation. - D. Dürr, S. Goldstein and N. Zanghì, *Journal of Statistical Physics* 67 (1992): Born statistics from quantum equilibrium. - Thomas Aquinas, *Summa Theologiae* I, q.22, a.4: providence provides contingent causes for contingent effects. **Aphorism:** "God does not need to load the dice. He wrote the rule they keep." ## Connection to Scripture - [Proverbs 16:33](/codex/proverbs-16-33/), the central text: the lot, the ancient image of chance, is governed in its whole outcome. - [Matthew 10:29-30](/codex/matthew-10-29-30/), the single sparrow and the counted hairs: providence reaches the individual case and the full count. - [Acts 1:26](/codex/acts-1-26/), the apostles trust a lot because they first ask God to choose ([Acts 1:24](/codex/acts-1-24/)). - [Colossians 1:17](/codex/colossians-1-17/), in Christ all things hold together, including the lawfulness of chance. ## Scholarship Published academic works this page draws on, each matched to a publisher, index or library catalog record. - G. C. Ghirardi, A. Rimini and T. Weber, "Unified dynamics for microscopic and macroscopic systems," *Physical Review D* 34 (1986). [doi:10.1103/physrevd.34.470](https://doi.org/10.1103/physrevd.34.470) [PubMed 9957165](https://pubmed.ncbi.nlm.nih.gov/9957165/) - B. Hensen et al., "Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres," *Nature* 526 (2015). [doi:10.1038/nature15759](https://doi.org/10.1038/nature15759) [PubMed 26503041](https://pubmed.ncbi.nlm.nih.gov/26503041/) [open access](https://hdl.handle.net/2117/79298) - Thomas V. Morris, *Divine and Human Action* (1988). [Open Library](https://openlibrary.org/works/OL517293W) - S. Pironio et al., "Random numbers certified by Bell’s theorem," *Nature* 464 (2010). [doi:10.1038/nature09008](https://doi.org/10.1038/nature09008) [PubMed 20393558](https://pubmed.ncbi.nlm.nih.gov/20393558/) [open access](https://arxiv.org/pdf/0911.3427) - William Grosvenor Pollard, *Chance and providence* (Scribner, 1958). [Open Library](https://openlibrary.org/works/OL5015503W) - William G. Pollard, *Chance and Providence Gods Action in a World Governed by Scientific Law* (1958). [Open Library](https://openlibrary.org/works/OL39532490W) - Urbasi Sinha et al., "Ruling Out Multi-Order Interference in Quantum Mechanics," *Science* 329 (2010). [doi:10.1126/science.1190545](https://doi.org/10.1126/science.1190545) [PubMed 20651147](https://pubmed.ncbi.nlm.nih.gov/20651147/) [open access](https://arxiv.org/pdf/1007.4193) ## See also - [Arguments](/codex/arguments/), the master index - [Ris3n Arguments](/codex/ris3n-arguments/), the hub of ris3n's original arguments - [Argument from the Observer-Demand Convergence](/codex/argument-from-the-observer-demand-convergence/), a different quantum argument. That page draws on observation and definiteness; this one does not depend on observers at all, works on collapse theories with no observer, and argues from the lawfulness of chance - [Divine Providence](/codex/divine-providence/), preservation, concurrence and government - [Divine Sovereignty](/codex/divine-sovereignty/), how God's rule relates to secondary causes - [Quantum Fluctuations Are Uncaused Objection Defeater](/codex/quantum-fluctuations-are-uncaused-objection-defeater/), why indeterminism does not mean something from nothing - [Laws of the Universe as Witness to Design](/codex/laws-of-the-universe-as-witness-to-design/), the general argument from law - [Mathematical Intelligibility of Nature](/codex/mathematical-intelligibility-of-nature/), why the world obeys mathematics at all - [Free Will and Determinism](/codex/free-will-and-determinism/), the parallel question about human choices - [Fine-Tuning Argument](/codex/fine-tuning-argument/), the relocated question on Bohmian mechanics - [Cumulative Case for Christian Theism](/codex/cumulative-case-for-christian-theism/), where this argument contributes ## Common questions this page answers **Q: Does quantum randomness disprove God?** No. Quantum randomness means no prior physical state fixes a single outcome. It does not mean nothing governs the outcome. The single events are open, yet together they keep an exact probability law, and a law that governs without forcing fits a governing God better than a brute fact. **Q: What did Einstein mean when he said God does not play dice?** In a 1926 letter to Max Born, Einstein said quantum mechanics was impressive but "not yet the real thing," and that he did not believe the Old One plays dice. He hoped a deeper deterministic theory lay underneath. Bell's theorem and later experiments showed that no local theory of that kind can match the results. **Q: What does [Proverbs 16:33](/codex/proverbs-16-33/) have to do with quantum physics?** [Proverbs 16:33](/codex/proverbs-16-33/) says the lot is cast into the lap, but its whole outcome is of the Lord. A lot is the ancient picture of pure chance. The verse describes exactly what quantum physics finds: outcomes no human or physical cause fixes, which still fall within an order. It is not a physics text, but its claim fits the data. **Q: Is this argument quantum mysticism?** No. It makes no claim that consciousness causes collapse or that minds shape particles. It uses only two established results, open single outcomes and exact Born statistics, and asks what best explains a law that governs undetermined events. **Q: What if a deterministic interpretation like Bohmian mechanics is true?** Then the argument changes shape but does not vanish. In Bohmian mechanics the Born statistics come from the universe starting in a special typical configuration, so the order of chance is built into the initial conditions, which raises a fine-tuning question. **Q: Can God govern events that are truly random?** Classical theology says yes. Aquinas taught that providence provides contingent causes for contingent effects, so some events are truly not necessitated by their causes and still fall under God's governance. Chance in physics means no physical state fixes the result, not that nothing at all orders it.