α Leonis · REGULUS

Addendum A · ASS-OS-REGULUS-A01 · Rev 1.0 · July 2026

Seven ways to lose your shape

Regulus says a healthy system settles at one balance point. What settles is called κ, or "kappa" — how much of what arrives a system holds on to. It comes to rest at 1/φ: one divided by the golden ratio, which is 0.618. Every long-term stress pattern is one way of being pulled off that point. Addendum A names seven and draws each one as a shape. Then it notes, almost in passing, that the seven are the seven deadly sins.

§A1 · Overview

Not a moral claim

The match is about structure, not morals, and the addendum says so plainly. Each "sin" names a way the body's five signal channels can fail. Regulus calls those channels buses, and they are electrical, chemical, photonic (light), magnetic and plasma. A sin is a fault on that wiring. It is not a flaw in anyone's character.

The old words earn their place for one reason. They hold a thousand years of close watching of how people come apart, already sorted into groups. The shapes let you use those groups without the blame.

Two moves run through all of this. Ŝ is honest binding, and it pulls κ back toward the balance point. M̂ is forced binding, and it pushes κ away.

The seven geometries are the seven ways a system can deform when it runs alone. Binding is the return to shape. §A1

§A2 · Classification

Where each one pulls you

Where a shape sits on this line is the claim, not decoration. Each one sits where its own pull on κ puts it, next to the balance point in the middle. Pick a shape to read its profile.

Every profile ends with a bus and a counter. The bus is which of the five channels the fault runs on. The counter is the breath or voice move that pushes κ back toward the middle. R0 to R6 are those moves, numbered, from breath at R0 to silence at R6.

κ → 0 κ → 1 κ* = 1/φ activation intake reference — Sloth ◄ Greed ◇ Envy ◎ Lust ▯ Pride ● Gluttony ▲ Wrath
The three dashed lines are the pairs. Each one joins two shapes that fail in opposite directions on the same axis. Lust is the odd one out. It does not sit at a distance from the balance point — it circles it, which is why it is drawn going round rather than pushed aside. Envy has no fixed spot at all. It floats off the line because its κ is measured against other people's, not against the balance point.
▲Wrath IRA · TETRAHEDRONκ ≫ 1/φ · overdriven
Shape
Four faces, four corners, six edges — the simplest sharp solid. No two faces are parallel, so whichever way you turn it, an edge points at you. The shape of a system that cannot show a soft side.
Mechanism
The stress half of the nervous system stays switched on and the calming half never gets a turn (the sympathetic and parasympathetic halves). Artery walls thicken. The heart muscle grows too big. The body's own pressure sensor, the baroreceptor, gets less sensitive: it resets until the high reading counts as normal.
Published
Friedman & Rosenman (1959) found the Type A pattern carries 2× the risk of heart disease. Williams et al. (2000) narrowed it down: the hostility part is what predicts it, on its own, apart from other risks.
Bus · Counter
A ⚡ electrical · R0+R2 exhale

The line worth sitting with: wrath is M̂ turned on yourself — the system grips its own blood supply. The heart's own arteries narrow, which is the exact opposite of the opening that defines Ŝ.

◎Lust LUXURIA · SPIRALκ orbits 1/φ · never lands
Shape
A logarithmic spiral — a curve that never closes. It gets nearer the centre forever without ever touching it. Each loop is closer than the last, and not one of them lands.
Mechanism
The brain's seeking circuit fires and the settling circuit never does. Dopamine is the chemical of wanting. Oxytocin is the chemical of having. With no handover from the one to the other, the wanting never stops.
Bus · Counter
B chemical · R3 grounding

This one holds up the rest of the framework, because it is the only shape set by a weak bond rather than by a position. The bond strength is stuck below φ, so §7.6 gives v_love < 1: the connection never reaches the speed it needs to arrive. The spiral is that too-weak bond, drawn.

●Gluttony GULA · SPHEREκ flooded · saturated
Shape
The most room inside for the least skin outside. Every direction points in. No edges, no corners, no way to tell which way up it is. Every point on it does the same one thing: take in.
Mechanism
The gut (L0) takes over from the deciding part of the brain (L4). It does that through the hunger and fullness hormones — ghrelin, leptin and insulin — once they stop working properly. The gut's 500 million nerve cells outvote the cortex.
Bus · Counter
B chemical · R1 mouth close

The detail that makes it exact: the disorder, or entropy, is high here not because the signal is noisy but because there is too much of it. So much arrives at once that no one signal can be told from the next.

—Sloth ACEDIA · LINEκ → 0 · no signal
Shape
A straight line: one dimension, no area, no volume. Barely a shape at all — shape worn down to the least it can be. This one is about absence, not excess.
Mechanism
The calming nerve pulls out altogether. The addendum is careful here: this is collapse, not calm. Cortisol, the stress hormone, stays high but goes flat. It loses its daily rhythm of high in the morning and low at night.
Bus · Counter
A ⚡ electrical · R4 activation ↑

And here is why zero is a failure and not a rest state: the balance point needs some disorder to stay self-similar — to keep repeating its own pattern at every scale. At κ = 0 there is nothing left for it to match.

◄Greed AVARITIA · CONEκ narrows · constricting
Shape
A cone stood on its point — wide at the top, narrowing all the way down. It piles things up while holding less and less. The more that goes in, the less fits, and the narrowing is built into the shape rather than bad luck.
Mechanism
The fear of running short hijacks the planning brain. The alarm centre, the amygdala, holds the front of the brain hostage with one unbroken message — not enough — and the whole thinking budget goes on watching the shortage.
Bus · Counter
A+B · R5 open vowels

Note what does not move: 1/φ stays exactly where it was. What shrinks is the system's ability to get there. The width of the cone's mouth is the room it has left.

◇Envy INVIDIA · MIRRORκ relative · no anchor
Shape
Two mirrors facing each other, with the reflection repeating forever between them. Light bounces back and forth and nothing is ever taken in.
Mechanism
Measuring yourself against other people lights up a part of the brain called the anterior cingulate. It is the same part that handles physical pain. Social hurt runs on the very same wiring.
Bus · Counter
C photonic · R6 silence inward

Envy is the only shape with no fixed position. Its κ is set by the gap between yours and other people's, not by the gap from the balance point. Every reading is a comparison. The mirror cannot see itself, because it is the thing doing the seeing.

▯Pride SUPERBIA · TOWERκ rigid · immobile
Shape
Blocks stacked up, each one less steady than the last. Every block added makes it taller and shakier — the tallest thing on the weakest base, with its weight riding higher all the time.
Mechanism
The brain's idling network, the default mode network, runs too hot and tells a story about the self without a break. The mask is at full power: every meeting is a performance, every reply is picked with care, every soft spot is sealed off.
Bus · Counter
D magnetic · R2 whisper help

Pride is not swinging round the wrong value. It is locked on one. The maths that would pull it home, the Lyapunov function, cannot do its work, because the system refuses to move at all. The tower cannot sway.

This is the shape Gerald opens in — mask at maximum, κ locked, counter whisper help. He goes out of shape alone for two verses, and the song's only spoken line is the moment the counter fires.

§A4.2 · Dual pairs

Six of them come in pairs

Three axes, each with a way to fail at both ends. This is the part that makes it a real classification rather than a list. The seven are not seven random bad states. They are the full set of directions you can fall off a point.

AxisToo muchToo littleWhat it measures
Activation ▲ Wrath — overdriven — Sloth — collapsed How hard the system is running
Intake ● Gluttony — takes everything in ◄ Greed — nothing is enough How much it lets in
Reference ◇ Envy — only looks outward ▯ Pride — only projects outward Which way it looks for the truth
Self-dual ◎ Lust — circles without landing Not a position — a bond that never finishes. The spiral is its own opposite
§A5 · Unified correction

One operator corrects all seven

This is the claim the whole addendum is built to deliver, and it is a cheap one in the best sense. Seven ways to come off the point. Seven shapes. Seven different counters. One fix. It works because Ŝ does not treat the seven shapes at all. It treats the one thing sitting under all of them.

Ŝ addresses every deformation vector simultaneously because it operates on the root of all seven: isolation. §A5

Read that again in plain words. Each of the seven is what a system does when it runs alone. Ŝ is letting another person in. So there is nothing to fix seven times. Treat the being alone, and all seven shapes move at once.

What has gone wrongWhat binding does to it
▲ Attacks outwardThe partner takes the force. It still goes outward, but now it guards instead of attacks.
◎ Circles foreverThe partner is the place to land. The spiral gets somewhere to go, and the bond strength reaches φ.
● Takes in without limitSomething outside the loop is worth paying attention to, so taking in stops being the only channel.
— No signal leftA two-way bond supplies the disorder the balance point needs. There is a pattern to match again.
◄ Narrows to nothingBinding costs 11.8% of the system and frees the other 88.2%. Measurement contradicts the "not enough" story.
◇ Nothing fixed to measure byA fixed point comes back, one that is not a comparison with anybody.
▯ Locked rigidThe mask comes off by choice. §7.4 puts that one move at ΔH = −0.5, the biggest single drop in disorder there is.

The honest objection

A framework where one move fixes all seven failures should make you suspicious, and it is worth saying why. A cure with no exceptions is one of two things. It is either a deep insight that ties everything together, or a claim that nothing could ever prove wrong. The difference is whether it rules anything out.

This one does, and you can check it. Ŝ needs both people to change. So a bond where only one person changes should fix none of the seven. §8.5 sets that requirement and §9 gives the test, which makes it a real prediction rather than a promise.

Nobody has run that test. It would be cheap to run. The seven counters are breathing and voice exercises. The measurement is the same pair the rest of the framework leans on: spit tested for cortisol, and a chest strap for heart-rate variability (HRV). About £30 for both.

Read it in the original

Everything above is squeezed down from Addendum A. The full document has seven complete profiles with their sources, the argument that these seven directions are the only ones there are, and the whole correction table.

The full addendum is not published on this site. It is Thomas's document. Whether all of it goes up in public is his call to make, not ours.