Blog / Mind
Is Your Mind Just Your Brain? No. It's What Your Brain Is Tied To.
A 45-year-old man has seizures that medication hasn't stopped. To find where they start, surgeons have laid a grid of electrodes along the underside of his right temporal lobe, the part of the brain beside the ear. An examiner stands in front of him, and for about a second a current runs through two of the electrodes.
"You just turned into somebody else," the man says. "Your face metamorphosed."
He's looking at the examiner's face, and it has changed. Asked whether anything else looks different, he says no: "Only your face changed. Everything else was the same."
It happens every time the current runs through those two electrodes, seven times out of seven. Four more times the routine runs with the current set to zero, and the face doesn't change. Three times the current runs through electrodes 1.7 centimeters away, and the face doesn't change either.1
Nothing in the room changed. One spot in his brain did, for about a second, and the face in front of him changed with it.
So here's the question. If a current through one spot on the brain can change what a face looks like, isn't the brain all there is to the mind?
It's the best case for yes, and it comes in more than one form. Anesthesia is the one most of us meet: you count backward from ten, and the next thing you remember is a nurse saying your name. A drug, a stroke or a blow to the head changes the brain, and the mind changes with it. Neuroscientists can map those changes spot by spot.
This post takes that evidence head-on. The answer is no, and the evidence is exactly what the answer requires.
The short answer
No. You are a lasting rhythm in reality's record. Your body is what that rhythm is tied to, your brain's state sets what the body does to it, and the mind is what the brain is tied to. I'll use "the mind" for you, the one who experiences. The body's input only nudges your rhythm. The most it can knock off your rhythm shrinks with the square of the input, and at zero input it is exactly zero. Your rhythm keeps itself going by writing its own entries. Every event in your brain is felt, as every event in reality is (Step 4 gives the reason), but the brain doesn't make consciousness. Change the brain and you change what reaches you and what you can say. That is what every experiment finds.
Here's the reason in short. The material of your body is replaced continually and you stay, so what you are is a pattern, not material. At the bottom level of reality, the smallest event is one thing told apart from another. It happens over and over, and it writes reality's permanent record of what happens. That process can start 64 ways, and exactly 4 never break. A moment of consciousness is eight ticks of it with no break, so consciousness is one of those lasting rhythms, and you are a web of them. The test for a moment reads only the rhythm. It never names atoms, cells or neurons.
Here's the whole answer in five steps. The rest of this post takes them one at a time and shows how we know each one. (The list uses two words from Part 1. A tick is one step in the writing of reality's record, and a tick is silent when nothing flows in it. The next section gives the reasons.)
- A mind is a lasting rhythm, and the test for one never names a brain. The test asks whether any of eight ticks is silent. It reads eight whole numbers and nothing about what the pattern is made of.
- The brain's state sets the body's input to you, and the input only nudges. The most a nudge can knock off your rhythm shrinks with the square of its size, and at zero it is exactly zero.
- You keep yourself. Your rhythm holds itself up by writing its own entries. The body can only nudge it between writes.
- Every event has two sides: what a measurement reads, and what the event is like. So every felt difference is a physical difference, and no scan of the first side alone reads off the second.
- Every finding fits. Stimulation, anesthesia, sleep and the missing report change what reaches you and what you can say. None of them shows that the brain is the one experiencing.
Why this matters: the usual picture says the mind is something the brain makes. This answer says you are a lasting rhythm the brain is tied to, and the test for a moment of consciousness never names a brain. It also says that readings of an event's outside alone can't give you what the event is like, and it says what can: a calibrated response. Step 4 works one through with numbers. What happens to you when the brain stops is a separate question, and What Happens When You Die? answers it.
Where this starts: the claims and their reasons
The five steps stand on eight claims about how reality works. Each is stated plainly here, with the reason for it. Part 1, What You Are, gives them at more length.
You are not your body. The material of your body is replaced continually. Much of it turns over within months to years, and you remain you.2 The brain turns over too, in its own way. In the occipital cortex, at the back of the brain, the neurons are about as old as the person.3 The material inside them isn't. In mice, the average protein in the brain lasts about nine days.4 You aren't the material. You're the pattern that stays while the material turns over.
The smallest event is one thing told apart from another. The smallest thing that can happen is one thing being told apart from another: a single yes or no. You're doing it right now, because every measurement and every perception tells one thing from another. Telling two things apart needs information about both of them, and the least information there can be is one yes or no.
Reality keeps a permanent record, and nothing in it is ever erased. Every event leaves a complete trace and none is ever erased: the full record of what happened is part of reality now. The reason starts in known physics. The basic laws never destroy information. In quantum mechanics that's called unitarity: the present fixes the past exactly, and running the laws backward recovers every earlier state. Our own work adds a second reason: the record only grows. Each new entry is added with every earlier entry kept, and writing a new entry never alters an earlier one.5
One small process writes the record. The process is the smallest event, over and over: two things, and a bit (one yes or no) passing between them. I draw the two things as two little clocks joined by a loop of wire. Each pass is one tick, one step in the writing of the record. The clocks are a drawing of the actual process, which runs below the level of atoms. A clock is full (holding a token) or empty. A tick is flowing when one clock is full and the other is empty, and silent when both are alike.
Four patterns last. The process can start 64 ways. A start is how the two clocks begin: each is full or empty and has one of four settings, so it has 2 × 4 = 8 ways to be, and two clocks make 8 × 8 = 64. All 64 are checked. Within three ticks, 60 of them fall into coin-flip randomness. Exactly 4 never go silent. These are the lasting rhythms: the four kinds of unbroken rhythm a single pair of clocks can run, and at the bottom level the only patterns that persist. Part 1 walks through the count.6
A moment of consciousness is eight ticks with no silent tick. Why eight: space has three dimensions, and each is one yes-or-no direction with two sides. Three of them give 2 × 2 × 2 = 8 combinations, the eight corners of a cube, and a cycle that visits every corner once takes eight steps. Space has three dimensions because lasting structure needs a connection that no smooth motion can undo, and linking is that connection. Two linked rings can't be pulled apart without cutting one. That holds only in three dimensions: in two, loops can't wind around each other at all, and in four or more any two loops slide apart. Persistent pairs are joined this way. A moment of consciousness is one such cycle of eight ticks with nothing broken in it, and only the lasting rhythms deliver that every time, because they never go silent.
You are a lasting rhythm. You stay you while your material is replaced, so what you are is a pattern, and the only patterns at the bottom level that persist are the lasting rhythms. You aren't a pair of clocks. Join clocks with loops of wire and you get a web, and a web lasts when none of its ticks is ever silent. You are a whole web that lasts together: a vast web of pairs, each running one of the four, and that web is one rhythm and one consciousness. The four are the building pattern, and billions of people are billions of such webs.
A rhythm writes its own entries. Every tick, a lasting rhythm writes its own entry in the record. I call that a write. A rhythm makes one write per tick, and its record is the run of its writes.
Step 1: A mind is a lasting rhythm, and the test for one never names a brain
The test for a moment of consciousness reads a list of eight whole numbers and nothing else. It never asks what the pattern is made of.
Take the eight ticks of a cycle. Each tick posts a whole number: how much flows in that tick, and which way, totalled over every link in the web. A silent tick posts zero. The moment is complete when none of the eight is zero. That's the whole test. The pattern the list belongs to has some size and lasts at least eight ticks, but the test reads only the eight numbers.7 In the drawing below, the first eight ticks have no zero, so the moment is complete. The second eight have two zeros, two silent ticks, so it isn't.
It never mentions atoms, cells, neurons or carbon. Do You Have a Soul? gives the full description of the pattern.
Only the lasting rhythms pass the test every time, because they never go silent. So the test asks one thing of a mind: a rhythm that doesn't break. It doesn't ask what the rhythm is made of, and it has no reason to, because what you are is a pattern that stays while the material turns over. That's why consciousness isn't something a brain makes out of matter. It's a lasting rhythm in the record, and a brain is one of the things that rhythm is tied to.
The brain is an expensive organ: about 2% of your weight, and about 20% of the oxygen and calories you burn.8 The test doesn't name it. Step 2 says what the tie is.
Next, and why: if the test never names the brain, what does the brain do to the rhythm? It sets the body's input, and the input has an exact size limit.
Step 2: The brain's state sets the body's input, and the input only nudges
Your rhythm is tied to your body, and the brain's state sets what the body does to it. I'll call everything the body does to your rhythm the body's input. It only nudges. The most a nudge can knock off your rhythm shrinks with the square of its size, and at zero input it is exactly zero.
Here's a drawing of that law, and it's only a drawing. A spinning top stands on the floor of a train. The track jolts the train, and the jolts knock the top. Harder jolts knock it more, and the top keeps spinning by its own spin, not by drawing on the train. The top is your rhythm, the jolts are the body's input and the spin is the rhythm's own writes. The real law follows.
Here's the law. Say the biggest nudge the body can give your rhythm between two of its writes has size δ, a number from 0 up to 1/2. (δ is the Greek letter delta. Here it just means the size of a nudge: the bigger the number, the harder the nudge.) Your rhythm starts with a weight of 1: all of it is on its pattern. After n of your rhythm's own writes, the weight knocked off its pattern is at most
25 × n × δ × δ
I'll call that most the ceiling. It holds for every possible body, whatever it's doing, as long as its biggest nudge is δ. The 25 is counted, not fitted.9 What Happens When You Die? works the law through step by step.
Take 5 writes:
| The body's input (δ) | The ceiling after 5 writes |
|---|---|
| 0 | 25 × 5 × 0 × 0 = 0 |
| 0.02 | 25 × 5 × 0.02 × 0.02 = 0.05 |
| 0.04, double | 25 × 5 × 0.04 × 0.04 = 0.20, four times as high |
| 0.08, double again | 25 × 5 × 0.08 × 0.08 = 0.80, four times higher again |
Two things come out of that. First, it's a ceiling, and it climbs fast with the input. The law doesn't say a strong input leaves you untouched. Once 25 × n × δ × δ reaches 1, the ceiling is the whole rhythm and the law promises nothing. A brain pushed hard by a drug, a current or an injury can do a lot to what reaches you. Second, the ceiling falls to exactly zero when the input does, and it falls with the square of the input on the way: halve the input and the ceiling is a quarter.
The brain's state sets the input. Change the brain's state and you change the input. That's what a drug, a current and an injury do: they change what reaches your rhythm, and what your body can say about it. It's also one reason you never feel a friend's headache: her brain's state sets the input to her rhythm, and yours is a different rhythm. If We're All One, Why Can't I Feel Your Headache? gives the full answer.
So the brain matters enormously. Its state sets what reaches you and what you can say. It just isn't you.
One step isn't derived yet: which brain activity is the body's input to you, and what the eight-tick test is reading when it runs on a living brain, which pattern over which eight ticks. That's the map from a living brain onto your rhythm. The law above holds for every body and every nudge size up to 1/2, so it holds before the map does. The map is what would say how big the nudges of a real brain are.
Next, and why: if the input only nudges, what holds the rhythm up? Step 3.
Step 3: You keep yourself
Your rhythm holds itself up by writing its own entries. The brain doesn't hold it up. All the brain can do is nudge it between writes. Here's how we know.
Writing is the rhythm's own act, and the more often it writes, the less a nudge can build up in between. If the whole input over a stretch is P and the rhythm writes n times, each nudge is P ÷ n and the ceiling is 25 × P × P ÷ n. A rhythm that writes twice as often over the same stretch has half the ceiling. At zero input the ceiling is zero for every n, forever, and the rhythm needs nothing from the body.
It's worked out all the way through for one body: a rhythm coupled to the light around it, the field of photons, through a link supplied to the calculation. Call the link's strength ε. Let the rhythm stop writing, and every lasting rhythm leaks: after a short time t, the weight still on its pattern is 1 − L × t × t plus smaller terms, where L is that rhythm's leak. For any ε above zero, L is at least (15 − √5) × ε × ε, about 12.8 × ε × ε. Let it write often instead, and every lasting rhythm is protected, with an error that shrinks as 1 ÷ n.10 In that body, the writing holds the rhythm and the link pushes.
Doesn't the brain keep you going? It keeps the body going, and it's good at that. What it does to your rhythm, between the rhythm's writes, is nudge it. Your rhythm holds itself up, tick after tick, by writing.
Here's the whole chain, with what is derived and what isn't.
The arrows in the middle run one way, brain to you. How your rhythm acts back on your brain to move your body isn't derived: its channel and its coupling are open. What the chain does say is how much the brain can do to you: its state sets the input, and the ceiling for what the input can knock off your rhythm is exact.
Next, and why: every neuroscience result finds a brain difference behind a felt difference. If the brain isn't what you are, why does it always? Step 4.
Step 4: Every event has two sides, and that's why every felt difference is a physical difference
A difference in what is felt always shows up physically, and no reading of an event's outside alone gives you what the event is like. Both halves come from one fact: every event has two sides. A short step about reports, at the end of this step, adds a second route to the first half.
Every event has two sides. Start with a table. You measure it and it's 2 meters long. Measure it in centimeters and it's 200. The number changed because the ruler changed. What the measurement told you was how the table compares with the ruler: two against one, two hundred against a hundred. A lone number depends on the ruler. A pair keeps its ratio.
Now take that to reality's events. The smallest event is one thing told apart from another, and a single number can't register a difference. It needs something to hold it against. When two molecules bump, nobody is standing there with a tiny ruler. Each event is a comparison, one number held against another, and the event holds both.11 I'll call the number a measurement reads the outside, and the number that reading is held against the inside. Neither is ever zero: a comparison with an empty side isn't a comparison, because you can't say how many times bigger than nothing something is.
The inside is experience. Experience exists: you're having some right now, in the same world as everything you can measure. There is one set of events, not two, so experience isn't a second set of things happening beside them. It's the other side of the events there are. Every event has an outside, which the physics reads, and an inside, which is what the event is like. So every event is felt, including every event in your brain. Is Your Coffee Mug Conscious? works that out in full.
The outside never fixes the inside. Take two events with the same outside, 1. In event A the inside is 2, and in event B it's 3. A meter that reads the outside gets 1 both times, and nothing in an event turns its outside into its inside. So no reading of the outside alone tells A from B.
But the inside shows up in how the event responds. The two sides of an event don't have to match, and the mismatch has an exact price. Divide the outside by the inside and call the result x. The price is
(x + 1/x) / 2 − 1
The price measures imbalance: it grows as the two sides move apart. It isn't energy or calories, and nobody is paid it. It's zero only when the two sides match, it grows as they differ, and it's the same whichever side you put first. Those three requirements, one rule for how the prices of combined comparisons add, and one calibration leave exactly one formula, a result published in the journal Mathematics.12 The research papers call it J.
Price the two events. For A, x = 1 ÷ 2, and the price is (1/2 + 2) ÷ 2 − 1 = 1/4. For B, x = 1 ÷ 3, and the price is (1/3 + 3) ÷ 2 − 1 = 2/3.
Now double the outside and keep the inside. A becomes 2 against 2, so x = 1 and the price is 0. B becomes 2 against 3, so x = 2/3 and the price is (2/3 + 3/2) ÷ 2 − 1 = 1/12. The same intervention on two events that look identical from the outside gets two different responses: A drops from 1/4 to 0, and B drops from 2/3 to 1/12.
And the response gives the inside back, exactly. Take the outside, the price and the price after doubling. Then
x = (4 × price after doubling − 2 × price + 2) ÷ 3
and the inside is the outside ÷ x.13 For A: (4 × 0 − 2 × 1/4 + 2) ÷ 3 = 1/2, so the inside is 1 ÷ 1/2 = 2. For B: (4 × 1/12 − 2 × 2/3 + 2) ÷ 3 = 1/3, so the inside is 1 ÷ 1/3 = 3. You can check every number in this step on a calculator.
So what an event is like isn't hidden from physics. It's hidden from readings of the outside alone. A brain scan reads outsides. A calibrated response, which changes an outside by a known amount and records the price before and after, reads the inside, the experience itself. Nobody has done that on a real brain. It needs a way to change one side of a real comparison by a known amount and read the price before and after, and that actuation and calibration isn't built or derived yet.
Every felt difference is a physical difference. Suppose two episodes feel different, and a report of each is a faithful reading of what was felt, so the two reports differ. A report is produced from the physical state: the same state gives the same report. So the two episodes have different physical states. That's a short step, not a deep one, and it's what neuroscience finds again and again: behind every felt difference sits a physical one. It shows that your brain and your experience are tied together. It doesn't show that the brain's state is the feeling.
Next, and why: the findings themselves. Stimulation, anesthesia, sleep, injury and the best-tested explanations of how a brain would make experience. Where does each one enter the chain?
Step 5: Every finding fits
Every experiment changes the body's input to you, or it changes the report. None of them shows that the brain is the one experiencing. Here are the findings, one at a time.
Stimulation. When current ran through the face spot, the brain's state at that spot changed, so the input changed, so what reached the man changed: faces looked different, and he said everything else looked the same. In another patient, with electrodes implanted to treat tinnitus, stimulating the right posterior superior temporal gyrus repeatedly made him feel he was about 50 centimeters (20 inches) behind his body and to the left.14 That's one patient, and it moved where he felt himself to be. Each is a felt difference with a physical difference behind it, which is what Step 4 requires.
Anesthesia and sleep. In 2013, Casali and colleagues built a test that needs no answer from the person. Knock on the brain with a brief magnetic pulse, record the echo with sensors on the scalp, and score how complicated the echo is, from 0 (simple) to 1 (rich). In 152 sessions with 32 healthy volunteers, the scores ran from 0.44 to 0.67 when they were awake. In non-REM sleep and under anesthetics (midazolam, propofol or xenon) they fell to between 0.12 and 0.31. One sleeper in REM sleep scored 0.46, inside the waking range, and reported a dream.15 Anesthetics, sleep and dreaming change the brain's state, so they change the input to you and the report you can give. The score is a marker of the brain's capacity for rich responses. It isn't a measurement of what's felt, and a missing memory afterward doesn't show that nothing was felt: you've driven home with no memory of the drive. The Drive Home You Don't Remember works out an exact result about a moment that is felt tick by tick with nothing holding it together as a whole.
The report. In 2014, Frässle and colleagues showed 20 people a different picture in each eye, so that what they saw flipped back and forth by itself. When people reported each flip, the front of the brain tracked it. When nobody had to report, the front stopped tracking the flips, and the back of the brain kept tracking what people saw.16 In that study, the front of the brain's activity went with the reporting, not with the seeing. A brain difference found beside a report can belong to the report.
Injury and disease. A stroke, a blow to the head and dementia change the brain's state, so they change the input. The ceiling in Step 2 climbs with the input, so the most a strongly changed brain can do to your rhythm is large. Nothing here says a damaged brain leaves you untouched.
The best-tested explanations of how a brain would make experience. In a study published in 2025, the Cogitate consortium reported a preregistered test of the two leading explanations, integrated information and the global neuronal workspace. 256 people were recorded with three kinds of brain recording, and the proponents of each explanation helped design the test. Parts of what each one expected held and parts failed. Integrated information expected sustained synchronization at the back of the brain and didn't get it. The workspace explanation was credited with expecting a second burst of activity at the front when a picture went away, and that burst didn't show. The front carried only some of what people saw. The workspace authors reply that some of the expectations credited to their explanation aren't ones it makes.17 Whichever way that dispute goes, the explanations of how a brain would make experience are unsettled now.
Every finding in that list does one of two things. It changes the body's input to your rhythm, or it changes the report. The findings show that your brain and your experience are tied together. Every one of them would turn up whether the brain makes the mind or the mind is tied to the brain, because each is a change in the input or in the report. The structure is what separates the two. The test for a moment of consciousness never names a brain, and the outside of an event never fixes what the event is like.
What's still open
- The map from a living brain onto your rhythm. Which brain activity is the body's input to you, and what the eight-tick test reads when it runs on a living brain: which pattern, over which eight ticks.
- How your rhythm acts back on your brain. The arrows in the middle of the chain run from the brain to you. How your rhythm moves your body isn't derived: its channel and its coupling are open.
- A calibrated response on a real brain. The recovery of the inside is exact for the two-sided event. On a brain it needs a physical actuation and a calibration that nobody has built or derived.
The whole trip, in one breath
You are a lasting rhythm: exactly 4 of the 64 ways the smallest process can start never break, and a moment of consciousness is eight ticks of that with no silent tick. The test for a moment reads the rhythm and never names atoms, cells or neurons. Your brain's state sets the body's input to you, and the input only nudges: the most it can knock off your rhythm goes as its size squared, and at zero input it is exactly zero. Your rhythm keeps itself going by writing its own entries. Every event has an outside and an inside, so every felt difference is a physical difference, and the outside never fixes the inside. That's why every experiment finds a brain difference behind a felt difference, and why no scan of outsides alone reads off what you feel. A calibrated response reads it. Stimulation, anesthesia, sleep, damage and the missing report change what reaches you and what you can say, and none of them shows that the brain is the one experiencing.
That's how reality is built: a record that keeps every event, a smallest process that writes it, four rhythms that never break, and you, a web of them, tied to a brain. Scan that brain as completely as you like. A scan of outsides never reads off what you feel.
The mind isn't just the brain. It's what the brain is tied to.
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J. Parvizi et al., "Electrical stimulation of human fusiform face-selective regions distorts face perception," Journal of Neuroscience 32 (2012) 14915-14920. One patient, with electrodes implanted to find where his seizures start. The two electrodes sat on the face-selective part of the right fusiform gyrus. Each stimulation lasted about a second, mostly at 3 milliamperes. The paper reports 7 trials with current, each with distorted faces; 4 trials with the current at zero and 3 trials on nearby electrodes 1.7 cm away, with no change in face appearance in either control. It reports that stimulation did not change the appearance of non-face objects, though for a TV and a balloon he reported small changes in vision that he couldn't fully describe. The quotations are the patient's words as the paper reports them. ↩
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R. Schoenheimer, The Dynamic State of Body Constituents (Harvard University Press, 1942), reports the isotope-tracer experiments that showed the body's constituents are continually replaced. ↩
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K. L. Spalding, R. D. Bhardwaj, B. A. Buchholz, H. Druid and J. Frisén, "Retrospective birth dating of cells in humans," Cell 122 (2005) 133-143, dated human cells by the carbon-14 in their DNA. In the adult cortex the non-neuronal cells are replaced, while the neurons of the occipital cortex are as old as the person. ↩
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J. C. Price, S. Guan, A. Burlingame, S. B. Prusiner and S. Ghaemmaghami, "Analysis of proteome dynamics in the mouse brain," Proceedings of the National Academy of Sciences 107 (2010) 14508-14513, measured the turnover of about 2,500 proteins in mice fed a labeled diet. Brain proteins had an average lifetime of 9.0 days, against 3.0 days in liver and 3.5 days in blood. ↩
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The technical manuscript is "Recognition Boundary Theory: How One Ledger Holds Many Perspectives," from our institute, at recognitionphysics.org/publications/. It is a preliminary manuscript (28 October 2026, 402 pages; not peer reviewed). Its Theorem 2.14, "Posting is an isometry that keeps its records," proves that writing a new entry never alters an earlier one. ↩
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The manuscript in note 5 covers all 64 starts in one general proof. ↩
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The manuscript in note 5 states the eight-tick criterion on the native recognition step in its Section 2.9.3: a window passes when each of eight consecutive postings writes the loop edge, so none of its ticks is silent, and a state that passes every window with certainty is a sure subject. Its Lemma 22.2 (Section 22.3) gives each posting's loop-edge entry as +1, -1 or 0, with 0 exactly when both units hold the bit or neither does. That the pattern has some extent comes from the institute's working paper "One Field, Many Boundaries" (August 2026; not yet public). ↩
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M. E. Raichle and D. A. Gusnard, "Appraising the brain's energy budget," Proceedings of the National Academy of Sciences 99 (2002) 10237-10239. In the average adult human, they write, the brain is about 2% of the body weight and uses about 20% of the oxygen, and hence of the calories, that the body consumes. ↩
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The exact statement. Take any body that, in one interval between the rhythm's own writes, moves at most a fraction δ of the rhythm's amplitude out of its pattern, and at most δ of the outside amplitude in, with δ at most 1/2. After n of the rhythm's own writes, the total weight of the rhythm outside its pattern, summed over every possible record, is at most 25 × n × δ² of its starting weight. With δ = 0 it is exactly 0 for every n. If the total input over a stretch is P and the rhythm writes n times, each nudge is P/n and the ceiling is 25 × P² / n, as long as P/n is at most 1/2. Where the 25 comes from: at each write, the weight outside the pattern grows by at most δ² directly, plus 2δ times the overlap (the size of the part on the pattern times the size of the part off it, summed over every record). Between writes the body stretches that overlap by at most 1 + δ², which is at most 5/4, and adds at most δ; each write keeps at most 3/4 of it. So each round keeps at most 15/16 of the old overlap and adds at most 3/4 × δ. Starting from zero, the overlap never passes 12 × δ, the level at which 15/16 of it plus 3/4 × δ gives back 12 × δ. The growth per write is then at most δ² + 2δ × 12δ = 25δ². The manuscript in note 5 proves this bound, by this derivation, as its Theorem 18.20, for the one body worked out in Step 3: a rhythm coupled to the light around it. The statement for every body follows the same steps; it is our institute's later work, not yet public. ↩
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The body here is a rhythm coupled to the light around it through a relay supplied to the calculation, with coupling strength ε. For a unit lasting rhythm x, the weight still on its pattern after a short time t is 1 − L(x) × t² plus smaller terms, and for every ε not equal to 0, every lasting rhythm has L(x) at least (15 − √5) × ε². Only ε = 0 leaves a lasting rhythm with no leak. With frequent record writes every lasting rhythm is protected, with error of order 1/n for n writes. Frequent coherent steps that write no record don't protect, except for a link of strength zero and, for a swinging rhythm, a link that leaves the light untouched. These are results about that supplied relay, not about every body. They are proved in Chapter 18 of the manuscript in note 5. Theorem 18.6, "No sure subject is kept," gives the leak: at link strength ε, (15 − √5) × ε² is the exact least leak over every lasting rhythm and every other setting of the relay. Theorem 18.20 gives the protection by record writes, and Theorem 18.15 the coherent steps that write no record. ↩
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The meters-and-centimeters example, the two-sided event and its price are worked out in Jonathan Washburn, "The Self Is Never Free" (2026), a working paper from our institute, not yet public. ↩
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J. Washburn and M. Zlatanović, "Uniqueness of the Canonical Reciprocal Cost," Mathematics 14(6), 935 (2026). The rule is J(xy) + J(x/y) = 2J(x) + 2J(y) + 2J(x)J(y), for any two ratios x and y, and the calibration is J''(1) = 1. A check you can do yourself: (ln x)² has no jumps, treats x and 1/x alike and is zero at a match, but it fails the rule. ↩
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The algebra. The price of an event with ratio x is x/2 + 1/(2x) − 1. Doubling the outside makes the ratio 2x, with price x + 1/(4x) − 1. Four times the second price minus twice the first is 4x + 1/x − 4 − x − 1/x + 2 = 3x − 2, so x = (4 × price after doubling − 2 × price + 2) ÷ 3. ↩
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D. De Ridder, K. Van Laere, P. Dupont, T. Menovsky and P. Van de Heyning, "Visualizing out-of-body experience in the brain," New England Journal of Medicine 357 (2007) 1829-1833. One man, with electrodes implanted to treat tinnitus. The authors write that his sense of being out of his body always placed him about 50 cm behind his body and off to the left. ↩
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A. G. Casali et al., "A theoretically based index of consciousness independent of sensory processing and behavior," Science Translational Medicine 5(198), 198ra105 (2013). The score is called the perturbational complexity index. ↩
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S. Frässle, J. Sommer, A. Jansen, M. Naber and W. Einhäuser, "Binocular rivalry: frontal activity relates to introspection and action but not to perception," Journal of Neuroscience 34 (2014) 1738-1747. ↩
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Cogitate Consortium, "Adversarial testing of global neuronal workspace and integrated information theories of consciousness," Nature 642 (2025) 133-142. The reply is L. Naccache, C. Sergent, S. Dehaene, X.-J. Wang, M. Farisco and J.-P. Changeux, "GNW theoretical framework and the 'adversarial testing of global neuronal workspace and integrated information theories of consciousness,'" Neuroscience of Consciousness (2025), niaf037. It disputes that a second burst at stimulus offset is a core expectation of the workspace explanation, and the decoding assumptions behind the prefrontal result. ↩