The Hand on the Domino

Faith, Providence, and Ordinary Miracles
A Companion to From Gravity to Grace

Moral Architecture Thought Experiments

October 2026

“A man’s heart deviseth his way: but the LORD directeth his steps.”

Proverbs 16:9

Abstract

Small inputs from outside a system, received through an open boundary, can redirect a whole chain of events. This companion extends From Gravity to Grace with that one idea and tests it against five cases: a refinement from Newton’s third law, the woman healed of an issue of blood, the Lord’s Prayer, a rescue in the woods, and the author’s own call to prosthetics.

Three proposals come out of it. First, a near-zero effect is near zero because of the mass at the other end, not because the connection is weak. Second, faith is best described as the permeability of the boundary: it does not produce the restoring input, it lets it in. Third, many miracles may work at the choice point, through a small, resistible nudge that ordinary causes then carry forward. As in the main paper, each section labels its claims as physics, analogy, interpretation, or testimony.

1. Introduction

From Gravity to Grace argued that nothing is neutral in effect, that everything is neutral in sign, and that what a system cannot produce it must receive from outside (the Boundary Principle). It described what complete restoration would require and named grace as one interpretation of what lies beyond the framework’s sight.

That paper described the outside input mostly at the largest scale: creation, the Cross, a world built for choice. This companion asks how the input arrives at the smallest scale. That means one woman in a crowd, one prayer said daily, one rider’s decision to ride, and one glance across a street. It also takes up an objection the main paper raised but did not fully answer. If faith seems to bring healing, is God’s help a transaction?

The main paper’s four claim types (physics, measured research, analogy, interpretation) are kept. A fifth is added here: testimony, a first-person account of the author’s own life. Testimony cannot be tested by experiment. It does, however, come from the row of Table 5 with the most information: one’s own choices, motives, and history. Scripture is quoted from the King James Version, as in the main paper.

2. Small Effects, Massive Connections

A near-zero effect is near zero because of the size of what it acts on, not because the connection is weak. This refines the Habecker Principle.

2.1 The Force Is Mutual

Newton’s third law states that the force between two bodies is equal and opposite. When an 80 kg person stands on the Earth, the Earth pulls the person with about 785 newtons. The person pulls the Earth with the same 785 newtons, not a fraction of it.

The difference shows up only in the response. Acceleration is force divided by mass:

a = F / m (1)

The same 785 newtons accelerates the person at 9.8 m/s². It accelerates the Earth, about 6 × 10²⁴ kg, at roughly 1.3 × 10⁻²² m/s². The tie is full strength. Only the visible effect on the massive end is tiny.

2.2 The Refinement

The main paper says effects shrink with distance but never reach zero. This section adds a second half: an effect is almost zero only because the thing it acts on is so massive. “Too small to measure” tells you how large the other end is.

The pattern already runs through the main paper:

• The dominoes. A small push topples a large domino because the line stores energy, ultimately supplied by the Earth’s mass. A tiny input reaches far when it is tied to something large and primed.

• The reservoir (§11.2). Heat flows into the ocean in full. The ocean’s temperature barely moves because its capacity is enormous. The exchange is complete; the near-zero response measures the receiver’s size.

• The light cone (§3.2). Every faint effect traces back to the common origin of the observable universe.

2.3 The Ancient Text

Scripture repeatedly ties the smallest thing to the greatest One:

Are not two sparrows sold for a farthing? and one of them shall not fall on the ground without your Father. But the very hairs of your head are all numbered. (Matthew 10:29–30)

Inasmuch as ye have done it unto one of the least of these my brethren, ye have done it unto me. (Matthew 25:40)

The widow’s two mites were the smallest gift in the treasury, yet Jesus said she “cast in more than they all” (Mark 12:43). A tiny magnitude, measured against the outside standard, counted for the most.

Type of claim in this section: Physics (Newton’s third law, Equation 1). Analogy (extending the massive end to God).

3. Faith as an Open Boundary

Faith does not pay for restoration or produce it. Faith is the open boundary that lets the outside input in. The woman with the issue of blood (Mark 5:25–34; Luke 8:43–48) shows this clearly.

3.1 Laws A and B in One Verse

Mark describes her condition in terms the main paper would recognize:

[She] had suffered many things of many physicians, and had spent all that she had, and was nothing bettered, but rather grew worse. (Mark 5:26)

Twelve years of remedies from inside the system only added disorder (Law A). None could reverse it (Law B). Under Leviticus 15:25–27 she was also ritually unclean, and anyone she touched became unclean. Her illness had become social exile. She had also spent everything. The transactional model had run to its end and failed before she reached Jesus.

3.2 The Input Crosses the Boundary

And Jesus, immediately knowing in himself that virtue had gone out of him, turned him about in the press, and said, Who touched my clothes? (Mark 5:30)

The Greek word is dynamis, power. This is Equation 5 of the main paper as a story: E_in is not zero, something crosses from outside, and no law is broken. Then, as C. S. Lewis described miracles, ordinary physiology carries the new event forward: “straightway the fountain of her blood was dried up” (Mark 5:29).

It is also a case of specification R4. Under the law, uncleanness should have flowed from her to Him. Instead, healing flowed the other way. He took in the contact without passing it on, as the ideal reservoir does.

3.3 The Crowd and the Transactional Objection

The disciples protested: “Thou seest the multitude thronging thee” (Mark 5:31). Many people were touching Him. By the Habecker Principle, every one of those contacts was non-zero, yet only one person received. Nearness and size of contact did not decide it. Openness did.

The balance law makes this precise. In Equation 3 of the main paper, the exchange term can only bring order in if the boundary lets something cross:

dS = d_eS + d_iS, d_iS ≥ 0 (2)

Faith is the permeability of the boundary. It does not supply the restoring input; it allows it. Ephesians 2:8 makes the same distinction: saved “through faith; and that not of yourselves.” Faith is the channel, not the source.

Three details count against a transactional reading:

1. She had nothing left to pay. She had already spent everything on physicians.

2. Her faith was imperfect. She seems to have half-believed the clothing itself held power, and she tried to stay hidden. Her faith carried a large error term (ε) and still opened the boundary. Like love in §13 of the main paper, it was robust to error.

3. Jesus refused to leave it as a transaction. She was already healed before He turned around. If this were a purchase, it was complete. Instead He stopped, delaying Jairus, a synagogue ruler whose daughter was dying. He called her out, named her “Daughter,” the only person in the Gospels He addresses that way, and declared her whole in public: “go in peace, and be whole of thy plague” (Mark 5:34). That ended her social exile as well as the bleeding.

She received more than she asked for: relationship, standing, and peace. That is specification R6, a new endpoint rather than a repair, and grace exceeding the balance (Romans 5:20). Relationship was also the first item the main paper listed in the unseen spectrum.

3.4 The Honest Objection

In Nazareth “he could there do no mighty work… because of their unbelief” (Mark 6:5–6). This can look transactional. Under this framework, it is specification R8 working in reverse. Restoration can be refused, and God does not force the boundary open, because the stage for choice requires that. Healings with no faith from the person healed also count against a fee reading. Examples include Lazarus, the man at Bethesda who did not know who had healed him (John 5:13), and Malchus, an enemy (Luke 22:51).

Type of claim in this section: Analogy (faith as permeability; Equations 2 and 5 applied). Interpretation (the meaning of the healing).

4. A Prayer from Inside the System

The Lord’s Prayer (Matthew 6:9–13) is said entirely from inside the system, asking for what the system cannot produce. Not one line offers God anything in exchange. Table 1 reads it through the framework.

Table 1. The Lord’s Prayer read through the framework.

Line	Framework reading
Our Father which art in heaven	R1, external origin. “Father” adds relationship, from the unseen spectrum. “Our” reflects connection: no one prays it alone.
Hallowed be thy name	R2, external standard. Holiness (polarity) is defined from outside.
Thy kingdom come. Thy will be done in earth, as it is in heaven.	The Boundary Principle as a request: “come” means arriving from outside. Earth is measured against heaven, asking that M approach T. Also R6, a kingdom coming rather than a return to Eden.
Give us this day our daily bread	R5, sustained input, like the living cell. It echoes manna, which could not be stored (Exodus 16:20).
And forgive us our debts, as we forgive our debtors	R3, in debt language (Greek opheilēmata). The one active role given to the person: forgiveness as local absorption (main paper §13.3).
And lead us not into temptation, but deliver us from evil	Real choice on the stage, and Law B: deliverance is rescue from outside. It also admits the resolution limit: “The heart is deceitful” (Jeremiah 17:9).
For thine is the kingdom, and the power, and the glory, for ever. Amen.	Power is owned outside the system. This doxology is absent from the earliest manuscripts and was likely added for worship.

4.1 Is the Forgiveness Clause a Transaction?

The verses after the prayer sound conditional: “if ye forgive not men their trespasses, neither will your Father forgive your trespasses” (Matthew 6:15). Jesus’ own parable answers the question of order. In Matthew 18:23–35, the king forgives the servant’s debt of ten thousand talents first. Only afterward does the servant refuse to forgive a small debt.

The order is the main paper’s “received first” (1 John 4:19). The condition is not a price. A person cannot be an open channel inward and a dam outward. Refusing to forgive refuses to let grace pass through, which closes the same boundary grace came in by.

4.2 What the Prayer Leaves Out

The prayer asks for no verdict on anyone. It requests no judgment on enemies and draws no line between deserving and undeserving neighbors. The resolution limit (main paper, Table 5) is built into what Jesus taught people to pray.

Type of claim in this section: Interpretation. As in the main paper, the close fit may partly reflect that the specifications were built with this tradition in view.

5. Ordinary Providence: Miracles at the Choice Point

Some miracles may work through a small, resistible nudge at a choice point, which ordinary causes then carry forward. To an observer, such an event looks like coincidence.

5.1 A Rescue in the Woods

A friend of the author was deep in the woods when his prosthesis failed and he could not walk. At that moment a group on a horseback ride was leaving the woods nearby. They came quickly and carried him out.

Each party’s domino line runs back to the beginning of time. Their crossing at that place and minute seemed miraculous, yet nothing visibly broke any law. Two explanations are possible.

5.2 Two Models

The front-loaded model. God set the first dominoes so precisely that the failure and the riders’ route met billions of years later, with nothing added along the way. C. S. Lewis explored a version of this in Miracles (Appendix B, “On Special Providences”). Because God stands outside time, He could take a prayer into account when shaping the beginning.

The choice-point model. The lines run on their own until an input from outside nudges one of them. Here, that might be one rider’s decision to ride that day rather than another. The Holy Spirit acts within the world, and the input enters without anyone accounting for it.

If God is outside time, the two models may describe the same event from two sides. From inside the chain, a nudge that morning and a perfectly set first domino would look identical. The resolution limit means no one inside can tell them apart.

5.3 Why the Choice Point Fits

• It is the smallest input that works. The main paper (§8.2) holds that miracles must be rare, or the stable laws that choice depends on would collapse. A nudge to a mind is close to the smallest possible input. A decision is a high-leverage domino, and every domino after it falls by ordinary physics. The Red Sea is a large E_in; a rider’s choice is a small one that the system amplifies. This is §2 run in reverse: small can still decide.

• Others have proposed similar mechanisms. The physicist and priest John Polkinghorne argued that chaotic systems, where tiny differences grow large, leave room for God to act through “active information” rather than force. Robert John Russell and others have proposed divine action at the level of quantum indeterminacy, where physics leaves outcomes open.

• It keeps God hidden enough for choice to stay free. A parted sea is hard to doubt. A rider who “just felt like going out” is easy to call coincidence. Pascal’s “enough light… enough shadow” holds.

5.4 The Ancient Text

Scripture describes this pattern often, usually without spectacle:

• Acts 8:26–29. The Spirit sends Philip to a desert road at the moment the Ethiopian’s chariot passes: one person moved to a place and time to meet another’s need.

• Ruth 2:3. “Her hap was to light on a part of the field belonging unto Boaz.” The text calls it chance; the book shows providence.

• Esther 6:1. “On that night could not the king sleep.” A sleepless night turns the story, and God is never named in the book.

• Proverbs 16:9. “A man’s heart deviseth his way: but the LORD directeth his steps.”

5.5 Two Constraints

1. The nudge must be resistible. If the Spirit overrode a rider’s will, specification R7 and the stage for choice would break. A nudge is better described as an invitation that could be ignored. The timing may have been given, but stopping to help a stranger, and doing it quickly, was the riders’ own choice. They became the channel described in the main paper’s §13.3.

2. No verdict may be read from it. The main paper’s Table 5 warns against reading a blessing as proof of approval. Gratitude fits. “God favored my friend” goes beyond what anyone inside the chain can see. Someone else stranded with no one coming is not less loved; that is the outcome error (main paper §9.2).

5.6 The Nudge as Illumination

The nudge may not push the chooser at all. It may simply let the chooser see the choice more clearly. That reading removes the tension with free will, because the input is light, not force.

• It leaves the choice with the chooser. Clear sight does not compel. The rich young ruler saw exactly what was asked of him and “went away grieved” (Mark 10:22). Pharaoh saw plague after plague and still refused. Seeing and choosing are separate acts, so specification R7 and the stage for choice stay intact.

• It reduces the error term. The main paper describes human judgment as M = T + ε (§10). Illumination is a reduction in ε. It does not reveal the whole chain; it sharpens the instrument just enough for the choice at hand.

• It is light from beyond the visible band. The main paper ends with light we cannot see. Here, the input from outside is itself light, which joins the paper’s two halves.

• It is the smallest input of all. Clarity is information, and information can enter a system with almost no energy. It fits Polkinghorne’s “active information” and the main paper’s requirement (§8.2) that intervention leave the stable laws undisturbed.

Scripture describes this kind of help often:

LORD, I pray thee, open his eyes, that he may see. (2 Kings 6:17)

Nothing outside changed for Elisha’s servant. He simply saw the horses and chariots of fire already on the mountain. On the road to Emmaus, “their eyes were opened,” and then “opened he their understanding” (Luke 24:31, 45). Paul prays for “the eyes of your understanding being enlightened” (Ephesians 1:18). The psalmist calls God’s word “a lamp unto my feet” (Psalm 119:105): a lamp shows the next step, not the whole road.

The author’s own account (§6) fits this reading: “I looked up.” Nothing on the street changed. The choice became clear, and perfect peace followed. For the riders in §5.1, the help may have been as simple as a clear sense that it was a good day to ride.

One question stays open. Philippians 2:13 says God “worketh in you both to will and to do,” which suggests He can sometimes move desire as well as sight. This paper proposes illumination as the most common and least intrusive form of the input, not the only one.

Type of claim in this section: Testimony (the event, as reported to the author). Interpretation (the mechanism). Analogy (the input as a domino push).

6. Testimony: A Street in Manhattan

I found my life’s work on a sidewalk, on the way to buy a car magazine. This section is my own account, offered as testimony.

6.1 The Account

In the 1990s, after college, I left my European car with a friend in Arkansas for the summer. She called to ask whether it was normal for smoke to come from under the hood. It was not. The car was rare, and there was no going online for parts. I had to find a specialty car magazine and search the foreign-parts ads in the back.

It was a low point. I had graduated without choosing a job. I had gone home to my parents’ apartment in Manhattan on purpose, to pray about what to do next and to paint houses to save money.

One day I walked with my father toward a bookstore to buy that magazine. I looked up and saw an amputee walking on the other side of the street. I knew at once that this was what I wanted to do. The moment felt deeply spiritual, and I had perfect peace about the decision.

If both of us, with all our circumstances, had not been outside together at that moment, it would never have happened. Zooming out: if the serious accident I had as a child had never happened, that moment would never have come either. The same is true for every person involved.

6.2 Reading It Through the Framework

• The bad domino became a good one. From inside the chain, the smoking car was simply a bad outcome. Yet without it, the walk does not happen. Every bell is also a domino (main paper §9.4). Joseph said something similar of a far darker chain: “ye thought evil against me; but God meant it unto good” (Genesis 50:20).

• The stranger was a passive connection with a positive sign. In the main paper, a spectator holding popcorn changed a game simply by being present. The amputee across the street is the same case with the opposite sign. They did nothing toward me and likely never knew. Their presence has passed into every patient I have treated since. A glance across a street was nearly zero; on the other end was a career (§2).

• There was a harder part. That person’s line included the loss of a limb. Their suffering became a link in a chain leading to care for people they will never meet. This does not explain or justify their loss. It does show that no suffering stays sealed off.

• I had opened the boundary. I went home deliberately to pray and wait. The answer came through something ordinary. The nudge may not have been in placing the stranger there at all. It may have been in my own eyes: I looked up.

• Peace served as the calibration signal. “Let the peace of God rule in your hearts” (Colossians 3:15). The Greek brabeuō, “rule,” means to act as an umpire. Peace did not show me the whole chain. It told me the reading was true.

The main paper warns against reading God’s verdicts into events. But its Table 5 also says the row with the most information is one’s own life. I know I was praying, I know what that peace was, and I know what followed. I can read this event in my own life with more confidence than I could read someone else’s.

6.3 The Work Itself

My profession turned out to be a small physical picture of the framework. A body cannot regrow a limb (Law B). Restoration must come from outside (R1). A prosthesis does not return the old limb; it is a new endpoint (R6). It needs ongoing adjustment and care (R5). It works only if the patient chooses to wear it (R8).

Type of claim in this section: Testimony (the account). Interpretation (its meaning).

7. Faith and Receiving

Faith appears to correlate with receiving from outside, but not always with receiving what was asked for. God protects choice, honors faith, and can put energy into the world at any scale He chooses, from a thought to a tumor stopped in its tracks.

7.1 The Correlation

Scripture supports a real link between faith and what is received:

According to your faith be it unto you. (Matthew 9:29)

He that cometh to God must believe that he is, and that he is a rewarder of them that diligently seek him. (Hebrews 11:6)

Mark 6:5–6 even records unbelief limiting what was done in Nazareth.

7.2 The Limits

Scripture also records faithful people who did not receive what they asked. Paul prayed three times for his thorn to be removed and was told, “My grace is sufficient for thee” (2 Corinthians 12:9). Hebrews 11 praises people of great faith who “received not the promise” and were tortured or killed (11:35–39).

Table 2 compares the cases in this paper.

Table 2. What was asked and what was received.

Case	Asked for	Received
The woman with the issue of blood	Healing, in secret	Healing, plus relationship, public standing, and peace
Paul	Removal of the thorn	Grace sufficient to carry it
The author	Direction (an open question)	A clear call, with peace

In each case something came from outside. God chose what it was.

7.3 Why the Distinction Matters

If faith guaranteed particular outcomes, everyone whose cancer was not stopped, or whose limb was not saved, would be suspected of weak faith. That is the error of Job’s friends (Job 42:7), and Jesus rejected it in John 9:3. It is also the just-world belief described in the main paper (§9.2).

The framework’s own rules point to the same answer. Equation 5 of the main paper allows God to add energy at any scale. The stage for choice explains why He appears to use restraint and hiddenness. Both are visible in the stories here: unlimited power, used so gently it looked like a walk to a bookstore.

Type of claim in this section: Interpretation.

8. Limitations

The mechanism is unobservable. Whether a nudge occurred, or the outcome was set from the beginning, cannot be distinguished from inside the chain. The choice-point model is an interpretation, not a finding.

The massive end is an analogy. Newton’s third law is established physics. Extending “the massive end” to God is analogy.

Testimony is one person’s reading. It comes from the best-informed row of Table 5, but it remains unrepeatable and personal.

The fit may be circular. As the main paper acknowledges, the specifications were built with the Christian account in view. The close fit of the Lord’s Prayer is expected for that reason.

Selection. Stories of timely rescue are remembered and told; rescues that never came are not. This paper does not claim that such coincidences are more frequent than chance would predict.

The hardest cases remain hard. Nothing here explains why one person is rescued and another is not. As the main paper says, explanation is not comfort and should never replace presence.

9. Conclusion: The Hand on the Domino

The outside input that From Gravity to Grace described at the scale of creation can also arrive at the scale of one glance. Table 3 summarizes the argument.

Table 3. The argument in six steps.

Step	Claim	Type
1	A near-zero effect reflects the mass at the other end, not a weak connection.	Physics and analogy
2	Faith is the open boundary: it lets the restoring input in without producing it.	Analogy
3	The healing of the bleeding woman is not a transaction; she received more than she sought.	Interpretation
4	The Lord’s Prayer asks only to receive, and its one condition is to let grace pass on.	Interpretation
5	Many miracles may work through a small, resistible nudge at a choice point, often as clearer sight.	Interpretation and testimony
6	Faith correlates with receiving, though not always with receiving what was asked.	Interpretation

The smallest things are tied to the greatest One. A woman reached through a crowd, a rider chose to ride, a young man looked up from a sidewalk. Each act was nearly zero. On the other end of each was something massive.

Nothing is neutral in effect, and nothing small is unconnected. What a system cannot produce, it must receive, and faith is the open door. The hand on the domino is rarely seen, but the dominoes still fall where it pushed them.

References

Habecker, M. J. (2026). From gravity to grace: A moral architecture of consequence, restoration, and the unseen spectrum. Moral Architecture Thought Experiments.

Lewis, C. S. (1947). Miracles: A preliminary study. Geoffrey Bles.

Pascal, B. (1966). Pensées (A. J. Krailsheimer, Trans.). Penguin. (Original work published 1670)

Polkinghorne, J. (1998). Belief in God in an age of science. Yale University Press.

Russell, R. J. (2008). Cosmology from alpha to omega: The creative mutual interaction of theology and science. Fortress Press.

The Holy Bible (King James Version). Genesis 50:20; Exodus 16:20; Leviticus 15:25–27; Ruth 2:3; 2 Kings 6:17; Esther 6:1; Job 42:7; Psalm 119:105; Proverbs 16:9; Jeremiah 17:9; Matthew 6:9–15, 9:29, 10:29–30, 18:23–35, 25:40; Mark 5:25–34, 6:5–6, 10:22, 12:41–44; Luke 8:43–48, 22:51, 24:31, 24:45; John 5:13, 9:3; Acts 8:26–29; Romans 5:20; 2 Corinthians 12:9; Ephesians 1:18, 2:8; Philippians 2:13; Colossians 3:15; Hebrews 11:6, 11:35–39; 1 John 4:19.