Makowsky
Divergence.

The Core Proposal

I built this framework to ask one question: can a single physical event split into two different measurable states—one happening out in the world, and one happening inside the body that’s experiencing it? When something moves, it keeps moving while my body is busy receiving the signal, processing it, and getting ready to respond. That gap in time is real, and I think it creates a measurable separation. I call that split in reality.

The Purpose of the Experiment

The whole point of the experiment is to find out if that separation can actually be measured and repeated. I record the physical path of the event completely separate from the biological response. That way, I can put the two states side by side and see if they really are different. I’m not assuming the answer before I test it. I’m building a method that can prove whether the split exists, and whether it shows up consistently every time.

How I Built This

I came up with the framework, I did the research, I pulled together the findings and the parameters, and I figured out exactly what the experiment is supposed to test. Computational tools and automated software helped me with the mathematical calculations, the organization of the parameters, and the visual diagrams. The science is mine. The experiment design is mine. The interpretation is mine.

The Final Statement

The physical event keeps moving. The body follows its own path. The experiment asks whether the difference between them is a real, measurable split.

THE SWORD FIGHT TRINITY ⚔

The Sword Fight points to a biological delay. It's what keeps physical events separate from what we actually see and feel.

The physical world doesn't stop moving during that short delay. Even a tiny gap in registration time means an object might be in a different spot than where you saw it. Two people can end up seeing two different versions of the same ongoing event. And this happens without the event itself actually splitting or doubling up. This experiment tests if those biological timing gaps show up as real differences on a recorded path.

This result shows that temporal divergence is a real, measurable link between how our bodies register things and the physical state of an event as it happens. It really makes you wonder if these differences in what we see are about more than just perception.

The timing problem has three outcomes, which is why we call it a Trinity. First, the states split. Then, the glitch shows itself. Finally, the body starts at zero. These aren't three different theories. They're part of the same thing.

A single experiment usually lands on one of three results: split, exposed, or zero. These tests show us what's actually happening with physical and biological measurements. But nothing really starts at zero. Since any biological system is already stuck in different states of delay, things get messy. Every observer sees something different than the person before them. We just aren't in sync with the next system. And since every event shifts the state of whatever came before it, you get these weird splits. An event might have a few different outcomes if two people see it differently. That gap is either out in the open or stays hidden.

The match shows a split if the time gap lines up with the physical distance outside the body. This needs to also match the difference recorded inside the people watching.

The Fight

Two fighters face each other in a controlled physical situation. Fighter X swings a sword toward Fighter Y's wrist, while Fighter Y watches the movement and attempts to pull the wrist away from the incoming blade. The sword continues moving forward along its original path, while the wrist begins moving away along a different path. Neither object needs to stop for the comparison to be made. Each follows its own trajectory, and the wrist's position continues changing at the same time that the sword travels toward it. Because both movements occur simultaneously, the distance between the sword and the wrist can change from one moment to the next.

The important part of the situation is the timing between the physical event and the observer's response. If Fighter Y registers the sword slightly after the physical movement has already begun, the wrist may already be in a different position by the time the nervous system has processed the incoming information. The event outside the body continues moving while the body is still detecting, interpreting, and responding to it. This creates the basic problem that the Sword Fight is designed to test: whether a measurable delay in biological registration corresponds to a measurable difference in the physical position of the moving objects

The Math

The basic math is simple: speed × time = distance. If the wrist moves at 27 centimeters per second, then during a 0.1-second delay it moves 27 × 0.1 = 2.7 centimeters. This means that even a short timing difference can create a measurable change in position. During the delay, the wrist does not remain fixed in place, and the sword does not pause while the nervous system processes the event. Both objects continue moving according to their own speeds and directions, so the physical arrangement changes continuously throughout the interval. A delay that seems small when described in seconds can therefore become significant when translated into centimeters of movement.

The same calculation can be applied repeatedly throughout the motion. If the speed remains constant, each additional interval of time produces a corresponding amount of distance traveled. If the speed changes, the movement can be divided into smaller intervals and calculated point by point. In either case, the purpose of the math is to connect the timing of the biological response with the amount of physical movement that occurs during that time. A timing difference becomes a position difference, and that position difference can be measured against the recorded motion of the sword and wrist.

The Geometry

The sword has one path, and the wrist has another. At the beginning of the movement, the two objects occupy one set of positions relative to each other. As the sword advances and the wrist withdraws, they occupy a new set of positions. The physical movement between those positions can be represented by distances, directions, angles, and changing gaps between the objects. Geometry provides a way to describe these relationships without relying only on subjective impressions of what the movement looked like.

The question is whether the timing difference measured inside the observer matches the physical difference measured outside the observer. If the biological delay predicts that the wrist should have moved a particular distance during the interval, the camera can be used to determine whether the wrist actually occupied the predicted position. The same comparison can be made for the sword, the distance between the objects, and the direction of each path. If the timing difference consistently predicts a specific location along the physical movement, then the relationship gives us a measurable claim that can be tested across repeated trials.

The geometry does not say that two realities exist, nor does it require the movement to be interpreted as a split between separate worlds. It simply describes the physical paths followed by the sword and wrist and provides a framework for comparing their positions at different moments. The purpose of the geometric description is to make the movement precise enough that the predicted result can be checked against recorded evidence.

The Breakdown

The Sword Fight can be broken down into four connected steps:

1. The event happens. The sword begins moving toward the wrist, creating a physical event that can be recorded by a camera and detected by the observer.

2. The body registers the event. Light and sound from the movement reach the observer, and the nervous system processes the incoming information before the observer can produce a response. This processing takes time, even when the observer reacts quickly.

3. The physical event keeps moving. While the information is being processed, the sword and wrist continue along their paths. The sword may move closer, the wrist may move away, and the distance between them may change before the observer's response is fully initiated.

4. The positions can be compared. The recorded biological timing is compared with the physical positions shown by the camera. The measured delay can then be converted into a predicted distance using the speed of the moving object and the amount of elapsed time.

Overall Conclusion

The Sword Fight begins with a simple physical fact: a moving event continues while the body is still registering it. The sword moves forward, the wrist moves away, and the nervous system takes time to detect and process what is happening before the observer can respond. The physical event does not pause for the observer, so even a small delay can place the wrist or sword at a different point along its path by the time the information has been processed.

The math shows how far the movement can continue during that delay. By multiplying speed by elapsed time, the experiment can estimate the distance traveled while the observer is still registering the event. The geometry shows where the moving objects are at each moment and how their paths relate to one another. The camera provides a record of the physical movement, while the biological measurements provide a record of the observer's timing. Comparing those records makes it possible to determine whether the predicted position matches the position that actually occurred.

The test does not assume that reality splits or that two separate realities exist. It asks only whether one physical event, one set of moving paths, and one measurable biological delay produce the predicted difference in position. If the timing and position measurements agree, the Sword Fight demonstrates a measurable relationship between perception, response, and motion. If they do not agree, the mismatch identifies a problem that must be explained through better measurements, different assumptions, or additional physical factors.

That is the Sword Fight: a simple physical situation used to test whether the timing of perception matches the movement recorded outside the body. By extending the paragraphs and examining the event through timing, mathematics, geometry, and direct comparison, the experiment turns an ordinary movement into a structured test of how biological processing relates to continuous physical motion.

The Inside

The Inside is the biological system taking part in the event. It is the cells, the tissues, the nerves, the sensors, and the muscles. It is everything inside the body that allows a person to see something happen and react to it. The outside event might happen all at once, but the body does not take it in all at once. Information has to be picked up, moved through the body, changed into electrical signals, put together, and turned into a response. All of this takes time. The Inside has its own path through time. The question is whether that path stays in sync with the path of the physical event happening outside the body.

The Template Library

The brain never starts from zero. Before you even see something moving, your brain is already full of past experiences and expectations. It knows what things look like, how they usually move, and what is likely to happen next. When new information comes in, the brain doesn’t just record it. It checks that new information against what it already expects. If the brain sees an object moving, it uses where the object was a moment ago to guess where it is now. The brain is always working ahead of what it sees, using the past to fill in the present.

The Layers of the System

The body is not made of parts that all move at the same speed. Inside a single cell, there are chemical changes, electrical changes, and mechanical changes happening all at once. Some happen fast, some happen slow. A cell has a chemical state, a physical state, and a location, but those things don’t always match perfectly. This is the first place where the Inside starts to diverge from the outside world. The question is not whether the cell is separate from the body. The question is whether its internal changes happen at the exact same time as its physical movement. If they don’t, the difference becomes a real, measurable gap in time.

Cellular Trajectory

Cells also have their own path through time. A cell can move through tissue while its internal program is changing, or its internal state can change before it actually moves. The surrounding tissue, the forces on the cell, and the environment can all affect how the cell moves. This means a single cell can have a path that is slightly different from the path of the tissue around it. This is called cellular decoupling. It doesn’t mean the cell floats away from the body. It means the cell’s internal state and its physical position are not perfectly locked together.

Molecular and Mechanical Coupling

The body’s path through time is built from several layers working together. The cell’s internal programs decide what the cell becomes. Signals tell cells what to do. The cell’s skeleton turns chemical signals into physical movement. Muscles pull and create force. Connective tissue holds everything in place. On top of all that, the nervous system senses the outside world and builds a picture of it. All of these layers work at different speeds. The Inside is not one single clock. It is a network of clocks, all talking to each other, all taking their own time to finish.

Neural Timing

The nervous system provides the fastest timing measurements. A single signal between neurons takes about half a millisecond. The retina takes about forty milliseconds to turn light into a signal. The brain’s standard binding window is about one hundred milliseconds. The motor command stage is set at two hundred milliseconds. An EEG signal is around two hundred and seventy-six milliseconds. These are not all one delay. They are different processes happening at different times. Putting them together lets us see how each neural stage lines up with the same physical event.

The Bone and Mechanical Layer

The nerves are not the end of the story. A biological signal has to turn into actual physical movement. The brain sends a command, but the muscles have to pull, the force has to travel through tissue, and the skeleton has to move. The bones are part of the measurable response. The mechanical state does not happen at the same time as the neural command that caused it. There is a gap between the moment the nerve fires and the moment the body actually moves. The bone is not a mind or a source of perception. It is a physical part of the system. Its position gives us a measurable state we can compare to the nerve signal and the outside event.

The Blood and Hemodynamic Layer

The Inside continues past the nerves and the muscles. Neural and muscle activity need energy, and that energy requires blood flow. Changes in blood flow and oxygen happen after the initial response. These hemodynamic changes give us another measurable state. The blood signal is not the moment the brain first perceives the event. It is a later response that shows the body is still working. Its timing is placed on the same timeline as the neural and mechanical measurements. This gives us a way to see how the body’s physiological state changes as the response continues.

The Three Inside Layers

The Inside can be examined through three connected domains: the neural layer, the mechanical and bone layer, and the blood layer. The neural layer handles information and signaling. The mechanical layer turns those signals into physical movement. The blood layer handles the later changes in the body’s physiology. They don’t all happen at once. Their value is that each one shows a different measurable state of the same body responding to the same event.

The Complete Inside

The Inside is not simply “the brain is delayed.” It is a layered system containing templates, cellular states, molecular programs, mechanical forces, neural processing, prediction, temporal integration, and postdictive reconstruction. All of these processes create measurable timing relationships between physical events and biological registration. The central hypothesis is clear: if a measurable biological timing difference exists during continuous motion, and the outside object keeps moving at speed v, then the framework predicts a corresponding spatial displacement. The Outside must now test that prediction independently.

The Outside

The Outside is the physical world. It is the sword, the wrist, the target, the room. It is everything that exists completely separate from what a person thinks they are seeing. The Outside has a real position, a real speed, and a real path it travels through space and time. It does not have opinions, delays, or a nervous system. It doesn't care what the observer is doing. It just moves. The job of this section is to give us a hard, independent reference point that we can use to measure the Inside against.

The Physical Trajectory

The Outside has its own path through space and time. The event starts at a specific point and keeps moving while the body is still processing information about it. The sword, the wrist, and the target all have physical positions that change constantly. Unlike the Inside, the Outside doesn't have to be put together from biological signals. Its path can be measured directly. At every moment, the physical system has a position, a speed, a direction, and a state that can be recorded without needing the observer's input.

The Physical State

At any given moment, the physical event has a measurable state. You can see where the sword is. You can see where the wrist is. You can measure the distance between them, how they are moving, and their direction. This creates the physical reference that we compare the biological states from Section 2 against. The Inside tells us when and how the body changes state. The Outside tells us where the physical object is while those changes are happening.

The Independent Reference

The Outside has to stay completely separate from the observer's interpretation. The physical path is recorded separately from the biological measurements and the person's own report. This separation is absolutely necessary. If we used the same measurement for both the biological state and the physical result, the test would be going in circles. The physical path has to be recorded on its own so that the biological timing can make a prediction that the Outside can either support or prove wrong.

The Continuous Event

The physical event does not stop while the Inside processes it. While the nerves are sending signals, the object keeps moving. While the body is getting ready to react, the object keeps moving. While the body's blood flow changes, the object keeps moving. The exact same event creates a continuous physical path outside the body while creating a changing biological path inside it. This is the main problem the framework is trying to solve.

The Outside as the Measurement Plane

The camera is the tool we use to measure the Outside. It records the event frame by frame, which lets us build the physical path as a sequence of positions over time. That recorded path becomes the independent reference for the whole framework. We can then place the biological measurements next to it on the same timeline and compare where the object actually was to where the body's timing says it should be. The Outside doesn't tell us what the observer experienced. It tells us what physically happened. The Inside tells us what the body was doing while it happened. Comparing those two records is what makes the whole test possible.

The Physical Event

Every experiment starts with one clean, defined event. The movement has to start somewhere, travel a path, and end somewhere. You need to know exactly when it started and exactly when it passed a certain point. The object keeps moving while the observer's brain works. It does not stop to wait for the signals to catch up. This continuous movement is the ground truth we use to test whether the biological timing is real.

The Camera Record

To measure the Outside, we don't guess. We use a high-speed camera. The camera is fixed, the lens is fixed, the lighting is fixed, and the scale is measured out before anything moves. It records the path of the object frame by frame. This gives us a physical record with absolutely no opinions. The camera tells us exactly where the object was every millisecond. It gives us the real physical path. It doesn't depend on the observer's memory, feelings, or perception.

The Physical Timeline

The Outside needs a clear timeline. We put markers on that timeline to tell us when the event started, when the sensor picked it up, and when the observer finally reacted. These markers are placed on the exact same clock as the camera. This lets us take the physical record and the biological measurement, line them up side by side, and ask: at the exact moment the body finished processing the event, where was the object physically?

How the Event Reaches the Observer

The physical event creates information. Light and sound travel from the object to the observer's body. The observer's sensory system picks that information up, and it begins its journey through the biological system. This is where the Outside meets the Inside. We need to clearly define when the body starts registering the signal. We have to be careful here because a reaction time, a nerve delay, and a brain binding window are not the same thing. We must know exactly which measurement we are using before we make the comparison.

The Perceived Trajectory

The observer's picture of the moving object is treated separately from the physical picture. The camera tells us where the object physically was. The observer tells us where they think the object was. The difference between those two positions is the physical-perceptual gap. This is the measurable gap the framework is looking for. It does not mean there are two physical worlds. It simply means the physical record and the perceptual record do not line up exactly.

Flash-Lag

Flash-lag is a real, proven phenomenon. When an object is moving and a flash is placed next to it at the exact same physical spot, the observer sees the moving object as being ahead of the flash. This happens because the brain holds the moving object's signal longer than the flash signal. The flash is quick, but the moving object keeps traveling while the brain is still integrating. Flash-lag gives us a measurable way to test whether the physical position and the perceived position really do separate during continuous motion.

Postdiction

Postdiction is the second part of the perceptual puzzle. It shows us that the brain doesn't make its final decision based on the first signal alone. Information that arrives later can change how the observer describes the earlier event. The experiment can change the timing of that later information and measure whether the observer's final answer changes. Postdiction is not a claim that the physical past changed. It is a measured, observable change in the observer's final representation of what happened.

The Observed Divergence

The Outside divergence is the difference between the physical path and the perceived path. The camera gives us the physical path. The observer gives us the perceived path. The gap between those two is the observed difference. This is the one number we can put on the table. It is the experimental result.

Controlling the Noise

We cannot just point a camera and take a result. We have to account for everything else that could create a false gap. Eye movements, anticipation, attention, reaction time, changing speeds, or just a noisy camera can all make it look like the object is in a different spot when it isn't. These things must be controlled, measured, or included in the analysis. We need to be sure the gap we are seeing is real and not just an accident from a bad measurement.

Inside Meets Outside

The Inside supplies the biological timing. The Outside supplies the physical speed and the recorded physical path. The model predicts the spatial gap. The camera records the actual gap. The experiment asks one simple question: does the biologically measured timing line up with the independently recorded physical gap?

The Final Comparison

The Outside is not there to assume the brain's theory is correct. The Outside is there to test it. The physical record is taken first, the biological timing is measured independently, and the predicted physical difference is calculated from those two parameters. The observed physical-perceptual difference is then compared against that prediction. The Outside completes the physical half of the framework. It gives us the actual event, the real path, the speed, the timing markers, the sensory registration, the perceptual consequences, and the measurable spatial gap. Now the Inside and the Outside are standing face to face, ready to be compared. The math will connect them, and the experiment will decide if they match.

Outside / Physical Trajectory Parameters

The framework relies on a complete set of measurements taken from two independently recorded systems. The first system is the Outside, which records the physical trajectory of the event. The Outside begins with event zero, which marks the exact moment the physical event starts. From that point forward, the camera records the object's velocity, acceleration, and position at every millisecond. The physical trajectory of the object and the trajectory of the wrist or limb are recorded separately. This allows the framework to measure the distance between the object and the wrist, the relative angle between them, and the force applied during the event. The camera runs at a fixed frame rate, with a known spatial scale, a measured timing uncertainty, stable lighting, and a controlled environmental noise level.

The Outside parameters are defined as follows. Event zero is the physical event onset. Object velocity is the velocity of the object in meters per second. Object acceleration is the rate of change of velocity. Object position is the position of the object in meters. Object trajectory is the physical path of the object over time. Wrist or limb position is the position of the wrist or limb in meters. Wrist or limb trajectory is the physical path of the wrist or limb. Object-wrist distance is the distance between the object and the wrist in meters. Relative angle is the angle between the object and the wrist in radians. Force vector is the applied or measured force in newtons. Spatial scale is the calibration factor converting pixels to physical distance. Camera frame rate is the number of frames per second. Camera timing uncertainty is the camera timestamp uncertainty in milliseconds. Lighting stability is the illumination consistency in percentage. Environmental noise is the environmental noise level. Synchronization accuracy is the cross-device synchronization uncertainty in milliseconds.

Biological / Inside — Timing Parameters

The Inside is measured across several layers. The biological timing parameters are measured as intervals between specific events. The sensory delay is the time between the physical event and the first neural signal. The neural processing interval is the time between the first signal and the brain's response. The perceptual latency is the time between the physical event and the observer's conscious registration. The prediction and integration time is the interval during which the brain combines incoming information with past expectations. The motor planning interval is the time between perception and the motor command. The EMG onset latency is the time between the motor command and muscle activation. The mechanical onset latency is the time between muscle activation and physical movement. The total neural time, total motor time, and total biological time are calculated from these individual intervals.

The biological timing variables are defined as follows. Sensory delay is the time between the physical event and the first neural signal. Neural processing interval is the time between the first neural signal and the brain's response. Perceptual latency is the time between the physical event and conscious registration. Prediction and integration time is the interval during which the brain combines incoming information with past expectations. Motor planning interval is the time between perception and the motor command. EMG onset latency is the time between the motor command and muscle activation. Mechanical onset latency is the time between muscle activation and physical movement. Total neural time is the time from the first neural signal to conscious registration. Total motor time is the time from perception to mechanical movement. Total biological time is the time from the physical event to mechanical movement. Hemodynamic response latency is the time between conscious registration and the blood flow response.

Biological / Inside — State Parameters

The neural layer uses EEG to record signal amplitude in microvolts, signal frequency in hertz, neural phase in radians, readiness potential in microvolts, and cortical activation level as a unitless measure. The muscle layer uses EMG to record amplitude in microvolts, onset time in milliseconds, peak response in microvolts, and frequency in hertz. The mechanical layer records limb velocity in meters per second, limb acceleration in meters per second squared, joint angle in radians, and force output in newtons. The bone layer records bone position in meters, bone velocity in meters per second, and bone acceleration in meters per second squared. The hemodynamic layer uses fNIRS or fMRI to record oxygenated hemoglobin in micromolar units, deoxygenated hemoglobin in micromolar units, the hemodynamic response function over time, the hemodynamic peak, and the hemodynamic duration in seconds.

Proposed / Derived Parameters

The proposed parameters convert the measured biological timing into a predicted physical displacement. The core conversion is that predicted displacement equals the independently measured physical velocity multiplied by the experimentally measured biological timing interval. This core equation is applied separately to the specific timing intervals. The predicted neural displacement equals the physical velocity multiplied by the total neural time. The predicted perceptual displacement equals the physical velocity multiplied by the perceptual latency. The predicted motor displacement equals the physical velocity multiplied by the total motor time. The predicted total displacement equals the physical velocity multiplied by the total biological time.

The observed displacement is measured as the difference between the physical position at the end of the interval and the physical position at the start of the interval. The observed perceptual shift is the difference between the perceived position and the actual position. The physical-perceptual gap is the difference between the observed displacement and the perceived shift.

Observed Displacement and Error Metrics

The error metrics quantify how close the prediction is to the observation. The absolute error is the absolute value of the difference between the observed displacement and the predicted displacement. The relative error is the absolute error divided by the absolute value of the observed displacement. The percent error is the relative error multiplied by one hundred. The root mean square error is the square root of the average of the squared differences between the observed and predicted displacements across all trials. The standard deviation of the error shows how consistent the mismatch is. A confidence interval is calculated as the mean error plus or minus 1.96 times the standard error of the mean.

Velocity / Timing Scaling Parameters

The scaling parameters allow the experiment to test whether the predicted gap changes consistently when the physical conditions change. The velocity scaling factor is the ratio of the test velocity to a reference velocity. The timing scaling factor is the ratio of the test timing interval to a reference timing interval. The predicted gap scaling factor is the product of the velocity scaling factor and the timing scaling factor. This allows the experiment to determine whether the predicted displacement scales linearly with velocity and timing, exactly as the framework predicts.

Synchronization & Timeline Parameters

The synchronization parameters define how all systems are aligned. A global clock serves as the common reference for every device. Each system has its own trigger delay, which records the precise time between the physical event and the start of data collection. The camera trigger delay is the delay to the camera system. The EEG trigger delay is the delay to the EEG system. The EMG trigger delay is the delay to the EMG system. The fNIRS or fMRI trigger delay is the delay to the hemodynamic system. The response device trigger delay is the delay to the response device. The total synchronization error is the combined uncertainty across all devices. The time resolution is the smallest measurable time step in the entire system.

Experimental Design Parameters

The experimental design parameters define the conditions under which the test is run. The number of trials is the total experimental repetitions. The condition set is the set of different velocity and timing conditions. The velocity conditions are the specific velocities tested in meters per second. The timing conditions are the specific timing intervals tested in milliseconds. The participant identifier is the unique identifier for each observer.

Core Parameter Relationship

The complete alignment is therefore a single chain: biological timing is measured, physical velocity is recorded, the predicted displacement is calculated, the observed displacement is measured, and the error between them is analyzed. The core model is that predicted displacement equals velocity multiplied by biological timing, and the empirical comparison is the difference between the observed and predicted values. The Inside parameters provide the biological timing and state measurements. The Outside parameters provide the independently measured physical trajectory. The synchronization parameters place all measurements on a common timeline. The proposed parameters convert the measured timing and velocity into testable displacement predictions. The experimental design parameters define the conditions under which those predictions are tested. Together, they form the complete operational specification for the Sword Fight experiment.

The Sword Fight Trinity brings the Inside and Outside together into one test. The Inside gives us the biological timing and biological state of the observer. The Outside gives us the independently recorded physical trajectory of the event. The math connects these measurements by turning a measured biological timing interval into a predicted physical displacement. The point isn't just to show that the brain takes time to process things. We already know that. The real point is to test whether a measured biological timing interval can line up with a measurable displacement along an independently recorded physical path.

The Velocity Test

The framework tests whether the predicted gap changes with speed. If the biological timing stays the same, but the object moves faster, the predicted gap should get bigger. At ten meters per second with a one-hundred-millisecond delay, the gap is one meter. At fifteen meters per second with that same delay, the gap is one and a half meters. The experiment asks whether the measured outcome follows this pattern.

The Timing Test

The framework tests whether the predicted gap changes with biological timing. If the speed stays the same, but the biological timing gets longer, the predicted gap should also get bigger. At ten meters per second, a one-hundred-millisecond delay gives a one-meter gap. A two-hundred-millisecond delay gives a two-meter gap. A four-hundred-millisecond delay gives a four-meter gap. The prediction is that the gap grows directly with the biological timing.

THE THREE MAIN PREDICTIONS

The Three Outcomes as One Trinity

These are the three possible classifications of the experimental result. They are not three separate theories. They are the three possible categories for the relationship between the prediction and the measured result.

The Falsification Test

The framework must be able to fail. If changing speed does not produce the predicted change in displacement, the speed relationship is weak. If changing biological timing does not produce the predicted change, the timing relationship is weak. If the measured divergence disappears after controlling for eye movement, attention, anticipation, synchronization error, or measurement uncertainty, the interpretation has to be reconsidered. The experiment does not require the Split to happen. Split, Glitch, and Zero are all available before the experiment starts.

The Complete Experimental Chain

The full chain is: biological timing, physical velocity, predicted displacement, observed displacement, error, and outcome classification. The Inside supplies the biological measurements. The Outside supplies the physical trajectory. Synchronization places everything on one timeline. The math produces the prediction. The recorded path supplies the observation. Statistical analysis decides whether the difference fits the prediction and the uncertainty. The result is then classified as Split, Glitch, or Zero.

The Meaning of the Result

If the result is Split, the experiment observed a measurable divergence that matches the prediction. If the result is Glitch, the experiment observed a measurable divergence that does not match the prediction. If the result is Zero, no divergence was detected beyond the measurement noise. The meaning of the result follows the measurement. It is not assigned beforehand.

The Final Conclusion

The Sword Fight Trinity proposes a direct experimental relationship between biological timing and physical displacement during continuous motion. The Inside provides the timing. The Outside provides the physical path. The math connects them. The experiment does not decide its result in advance. It measures the timing. It measures the motion. It calculates the prediction. It measures the displacement. It calculates the error. Then it determines which of the three outcomes occurred: SPLIT, GLITCH, or ZERO. That is the Trinity.

One event.

One physical trajectory.

Biological timing.

Predicted displacement.

Observed displacement.

Three possible outcomes.

What This Experiment Is Really About

This experiment isn't just about a sword and a wrist. It's about time. When something moves, the physical world records its position instantly. But the brain doesn't. The brain takes time to receive the signal, process it, and build a picture. During that time, the object keeps moving. This means the position the brain registers is not the same position the object is in right now. That gap is not a metaphor. It is a real, measurable distance. A single moving event produces two separate states: the physical position, where the object actually is at that exact millisecond, and the biological registration, where the brain registers the object to be. We record the physical state with a high-speed camera, and we measure the biological state with EEG, EMG, and the observer's report. These two states are not the same. They are separated by time, and that time can be turned into distance using the simple math we already laid out. This is the core of the entire framework: one physical event, two measurable states, and a gap between them that we can calculate before we even run the experiment.

The Two States of One Event

A single moving event produces two separate states that we can measure independently. The first state is the physical position—where the object actually is at that exact millisecond. We record this with a high-speed camera. The second state is the biological registration—where the brain registers the object to be. We measure this with EEG, EMG, and the observer's report. These two states are not the same. They are separated by time, and that time can be turned into distance using the simple math we already laid out. This is the core of the entire framework: one physical event, two measurable states, and a gap between them that we can calculate before we even run the experiment.

The Three Outcomes

The experiment has three possible results, and these are not theories—they are the only three things that can happen when we put the camera next to the brain. The first outcome is the Split, which happens when the physical gap matches the predicted gap. This means the brain is registering a different point along the physical path than where the object actually is, and the divergence is real. The timing model is correct. The second outcome is the Glitch, which happens when there is a gap, but it doesn’t match the prediction. This tells us the timing model needs to be adjusted, or that we measured the wrong biological process. There could be other factors at play, but the gap itself is still real. The third outcome is the Zero, which happens when no gap is found. This would mean the brain perfectly compensates for the delay, and that the physical position and the biological registration are locked together. Even this result is valuable, because it tells us the brain has a predictive mechanism that works perfectly.

Why This Matters

This experiment asks a simple question: does biological timing create a measurable difference in physical position during continuous motion? If the answer is yes, it means our sense of "now" is not the same as the physical "now." It means every experience we have is slightly delayed, and that the world we see is actually the world as it was a fraction of a second ago. That is not a mystical claim. It is a physical measurement. It changes how we understand time, perception, and the relationship between the body and the outside world. If the answer is no, we still learn something important: the brain is a perfect predictor of motion, and the gap collapses to zero. Either way, the experiment gives us a truth about the system that we didn't have before.

My Proposal

I am proposing a single, controlled experiment to answer this question. The experiment will use a high-speed camera to record the physical trajectory of a moving object. It will use EEG and EMG to measure the biological timing of the observer. It will use hemodynamic measurements to track the later physiological response. It will collect a perceptual report from the observer. And it will place all of these measurements on one shared clock using standard synchronization technology. This is the first time all five layers have been combined in a single experiment. No one has done this before. If the experiment shows the Split, the divergence is real. If it shows the Glitch, the gap is real but the model needs work. If it shows the Zero, the brain compensates perfectly. The experiment does not assume the answer. It measures it.

The physical path records what happened. The brain records when it could register it. The parameters connect them. The camera records the Outside. The biology records the Inside. The experiment decides if they match.

The Hardware and Setup

To run this experiment, we need five separate systems, all wired to the same clock. The first system is the high-speed camera, which must record at 1,000 frames per second with a fixed lens, a fixed position, and a calibrated scale so that pixels can be converted into real physical distance. The camera is the independent ground truth for the physical trajectory. For the moving stimulus, we need a robotic arm, a motorized track, or a pneumatic launcher—something that can move an external object at a controlled, repeatable velocity without relying on the observer's hand. The observer sits at a fixed distance from the object, with their head held still by a chin rest. The room is dark and quiet to minimize distraction.

The second system is the neural recorder. We need a 32-channel EEG cap with active electrodes, recorded at 1 kHz. The cap must fit securely on the participant's head, and we need conductive gel or saline to ensure proper contact between the electrodes and the scalp. The EEG amplifier must have a trigger input so the start of the physical event is stamped directly into the recording. The third system is the muscular recorder. We need surface EMG sensors placed over the forearm flexors and wrist extensors, recorded at 1 kHz to match the EEG. We need disposable adhesive electrodes and skin prep supplies to lower impedance. The EMG amplifier also needs a trigger input so muscle-onset timing is captured on the same timeline as the brain and the camera.

The fourth system is the hemodynamic recorder. We use a mobile fNIRS system with at least 8 to 16 channels. The fNIRS cap must fit alongside the EEG cap without causing discomfort. The system runs at a slower rate—usually around 10 to 15 Hz—which is expected, because we are not using it for millisecond timing. We are using it to confirm which brain regions are active during the motion event, not to measure the exact moment of perception. The fifth system is the observer's response. We need a response box or a keyboard with millisecond precision, so the exact time the participant makes their judgment is recorded. If we use a pointing task, we need a touchscreen or a digitizing tablet. The response device must be connected to the same synchronization system as the others.

To synchronize all five systems, we use Lab Streaming Layer (LSL) as the software backbone. LSL time-stamps every signal from every device so they can be aligned offline. We also need a physical ground-truth marker: a photodiode placed on the stimulus screen, and an LED flash triggered at the exact moment the event begins. That flash is visible to the camera, and the photodiode sends a square-wave TTL pulse to the EEG, EMG, and fNIRS systems. This gives us a single, absolute time point that every device shares. All systems are connected to a central computer running LSL, and the data is saved as a single synchronized file for analysis.

Hardware cost value

The first piece of hardware is the high-speed camera. The Chronos 1.4 is the primary option, costing approximately $4,500. It runs at 1,000 frames per second, has a fixed lens, and provides the millisecond-level spatial accuracy we need for tracking the physical trajectory. A secondary, more affordable option is the Blackfly S camera, which costs approximately $361. It still provides the necessary resolution and frame rate but is more budget-friendly for a smaller pilot study.

For the EEG layer, we recommend either the OpenBCI Ganglion at approximately $624.99 or the OpenBCI Cyton at approximately $1,249. Both systems record at 1 kHz and provide the neural timing data we need. For muscle recording, the BrainBit Flex8 costs approximately $1,200 and provides the EMG data we need to track muscle onset and response timing.

For the blood flow layer, we use a mobile fNIRS system. The cost of this system varies depending on the number of channels, but a standard 8 to 16-channel setup is typically in the $5,000 to $10,000+ range. For the synchronization layer, we use an Optilab photoreceiver, which costs approximately $480. This device captures the photodiode signal and ensures that the LED flash is time-stamped across all devices.

A prototype experimental setup — using the Blackfly S camera, the OpenBCI Ganglion, and the BrainBit Flex8 — costs approximately $1,000 to $2,000. A serious laboratory setup — using the Chronos 1.4 camera and the OpenBCI Cyton — costs approximately $5,000 to $8,000+. A full neuroscience setup, which includes a complete fNIRS system and all five synchronized layers, costs approximately $10,000 or more.

The Protocol and Procedure

The participant arrives, signs the consent form, and is fitted with the EEG cap, the EMG sensors, and the fNIRS cap. The high-speed camera is fixed in place, the scale is calibrated, and the robotic target is set to a controlled speed. The lights are dimmed, and the participant is told to keep their head still and watch the target. A series of practice trials is run before the data collection begins so the participant can get used to the task. Each trial starts with a fixation point. Then, the target is launched or moved along its track. The observer must judge where they perceived the object to be at a specific moment—usually pressing a button or pointing to a location. The event start is triggered by the photodiode and the LED flash, which stamps the exact time onto all five systems. Each trial lasts only a few seconds, and we run hundreds of trials so we can average out noise and build a stable signal.

Why This Matters

This experiment asks a simple question: does biological timing create a measurable difference in physical position during continuous motion? If the answer is yes, it means our sense of "now" is not the same as the physical "now." It means every experience we have is slightly delayed, and that the world we see is actually the world as it was a fraction of a second ago. That is not a mystical claim. It is a physical measurement. It changes how we understand time, perception, and the relationship between the body and the outside world. If the answer is no, we still learn something important: the brain is a perfect predictor of motion, and the gap collapses to zero. Either way, the experiment gives us a truth about the system that we didn't have before.

REFERENCES AND SCIENTIFIC FOUNDATION

The Sword Fight framework draws on established research concerning biological processing time, visual motion, temporal perception, postdiction, motor control, and physiological measurement. Research by Eagleman and Sejnowski on motion integration and postdiction provides scientific background for the proposal that the brain's representation of an event can depend on information arriving over time. Their work on the flash-lag effect provides a foundation for examining differences between the physical position of a moving object and its perceived position.

Research by Libet and other investigators on neural timing provides background for examining the relationship between physical events, neural activity, and conscious awareness. Research in sensorimotor control provides additional support for examining how neural signals become physical movement through muscles, force, and skeletal motion.

The proposed use of EEG and EMG is based on established methods for measuring neural and muscular activity. Hemodynamic measurements, including functional near-infrared spectroscopy, provide an additional physiological layer for examining changes that occur after neural and mechanical activity. High-speed video recording provides an independent physical record of the object's trajectory against which the biological measurements can be compared.

These established findings provide the scientific foundation for the Sword Fight experiment. The present framework does not treat these previous studies as evidence that the proposed Divergence model has already been established. Instead, they provide independently studied biological, perceptual, neural, mechanical, and physiological phenomena that can be brought together within the proposed experimental design.

The original contribution proposed in this manuscript is the organization of these measurements into a common temporal framework in which biological state, physical trajectory, timing, spatial displacement, and subsequent state transfer can be measured together. The experiment is designed to determine whether the predicted relationship survives direct measurement and controlled testing.

COMPUTATIONAL TOOLS AND VISUALIZATION ASSISTANCE

The mathematical parameters and predicted displacement values presented in this manuscript were calculated using standard computational software. The visual diagrams and data graphs were generated using automated plotting and visualization tools. All theoretical concepts, equations, experimental designs, and scientific interpretations were established by the author. Computational tools were used solely for calculation and rendering, similar to a scientific calculator or graphing software.