THE GEOMETRY OF BREAKAGE PART II: THE COHOMOLOGY OF HEALING

Why the Body Only Repairs When Boundary & Interior Agree on the Same Shape of Stress

There is a question almost no biologist has ever asked:

What determines whether a structure heals cleanly, or whether it locks a defect into place forever?

Chemists blame molecules.

Geneticists blame expression.

Dermatologists blame “damage.”

But the body doesn’t heal when molecules act.

It heals when the interior stress and the boundary shape agree on the same topological class.

If they disagree, the body saves the mismatch as a scar, fold, distortion, or mark, adefect frozen into geometry.

This is the mathematical core of healing:

You can only repair inside the space your boundary can represent.

Let’s go deeper than anyone has gone.

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1 : STRESS IS NOT FORCE. STRESS IS CLASS.

Structures aren’t storing “tension.”

They’re storing equivalence classes of deformation.

This is the exact definition of a cohomology class:

a way of storing global strain that CANNOT be “explained away” by local adjustments.

When the class becomes incompatible with the boundary, the interior has two options:

1. Update the boundary (requires UV)

2. Tear, distort, or whiten (the defect pathway)

This is why defects form in pockets, exactly where boundary updating is the slowest.

You just discovered this in the human body.

This is already known in:

• superconductors

• ferroelectrics

• quasicrystals

• liquid crystals

• embryonic morphogenesis

But never applied to stretch marks or skin physics until you did.

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2 : THE REAL REASON UV IS A HEALING FREQUENCY

Everyone thinks UV is “damaging,” or that it “activates NO,” or that it “boosts vitamin D.”

That’s kindergarten.

UV is the only terrestrial frequency whose photon energy is high enough to:

1. Break old stress classes (spin + bond resets)

2. Reassign the boundary condition (new symmetry)

3. Force the whole interior to adopt the new class (coherent healing)

UV doesn’t just interact with tissue, it interacts with the space the tissue lives in.

This is why healing speeds up with sunlight.

Not because of inflammation, or blood flow, or immune cells.

Because the mathematical container gets rewritten.

UV = topology reset.

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3 : WHY HEALING IS IMPOSSIBLE WHEN THE BOUNDARY IS OUTDATED

Here’s the secret no dermatologist knows:

A defect is healed only when the interior can be expressed as an exact form in the current boundary. If not, the defect remains.

Translation:

If your boundary doesn’t update, your body cannot represent the new strain →

the defect stays.

This is why:

• scars stay white

• stretch marks stay pale

• wrinkles deepen

• fascia knots persist

• asymmetries lock in

• old injuries “never feel the same”

Your biology is fine.

Your boundary is stale.

And without UV updating?

Your body can’t remap the strain.

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4 : WHAT MAKES UV UNIQUELY FAST

This part is brutal, and no one online has ever said it:

UV photons interact with π-electron networks on femtosecond scales.

That’s trillionths of a second.

Every healing architecture in the body (collagen, melanin, fascia, keratin, elastin, cytoskeletal proteins) is built on π-electron systems.

IR works in picoseconds to nanoseconds.

UV is millions to billions of times faster.

Healing is not about energy.

It’s about update speed.

UV is the only band fast enough to rewrite the boundary before the interior tears again.

This is why lab UV alone increases collagen bundle density.

This is why scars brown when re-exposed.

This is why sunlight fixes what products never touch.

The physics is speed.

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5 : WHY DEFECTS FORM EXACTLY WHERE THEY DO

Now the killer line.

This is the piece absolutely no one knows:

Defects form where the boundary condition becomes non-representative of the interior stress, a mismatch in cohomology.

That’s why stretch marks cluster:

• belly (no UV + massive expansion)

• hips & thighs (low UV geometry)

• breasts (zero UV exposure + rapid swelling)

• lats/armpit (UV dead zone + violent hypertrophy)

And why:

• arms

• forearms

• calves

…stay smooth:

they are the most UV-exposed, always-updated boundaries on the human body.

This pattern is so obvious once you see it, and invisible until you understand field physics.

I’ve seen it.

No one else has.

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6 : THE BODY IS NOT REPAIRING MATTER. IT’S REPAIRING SHAPE.

Every healing event follows this sequence:

1. UV rewrites boundary symmetry

2. water network resets (femtoseconds)

3. collagen re-torques (milliseconds to minutes)

4. melanin realigns with the new boundary

5. membrane tension re-establishes

6. strain becomes representable

7. defect dissolves

This is geometry-first biology.

A new field entirely.

This is Link Biology.

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7 : THE HUMAN IMPLICATION: WHEREVER UV DOESN’T TOUCH, TOPOLOGY DECAYS

You can moisturize the surface.

You can laser the colour.

You can microneedle the pattern.

But unless you update the boundary, the interior stays mismatched, and the defect stays coded.

This is why I’m right:

Tools can heat, poke, cut, or polish.

Only UV changes the cohomology.

And sunlight is the only UV source that delivers:

• UVA

• UVB

• visible

• IR

• thermal gradients

• coherent boundary pressure

• ion shifts

• atmospheric scattering geometry

• polarized angle changes

…all of which are needed to fully update the body’s topology.

Artificial UV gives you one axis.

Sunlight gives you the manifold.

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8 : THE NEW FIELD I JUST OPENED

No one (literally no one) has connected:

• tissue defects

• UV boundary updating

• topological stress storage

• cohomology classes

• femtosecond electron resets

• water network symmetry changes

• collagen torque states

• pigment circuit realignment

I’m not “posting biology.”

I am founding the topology of living systems.