Raise the Specter

Raise-the-Specter-0.mp3
Raise-the-Specter-0.mp4
Raise-the-Specter-I.mp3
Raise-the-Specter-I.mp4
Raise-the-Specter-intro.mp3

[Intro]
Raise the specter
(To our vector)
We’re the force
(Throwing us off course)

[Bridge]
(Oh, of course)

[Verse 1]
Very sharply pointed
(Higher and higher)
Showing our direction
(Aspire to dire)

[Chorus]
Raise the specter
(To our vector)
We’re the force
(Throwing us off course)

[Bridge]
Made us veer
(Time we steer)
Clearly (back to reality)

[Verse 2]
A large cluster of vectors
(Pointing the same way)
So much for the hecklers
(Wallow in dismay)

[Chorus]
Raise the specter
(To our vector)
We’re the force
(Throwing us off course)

[Bridge]
Made us veer
(Time we steer)
Clearly (back to reality)

[Chorus]
Raise the specter
(To our vector)
We’re the force
(Throwing us off course)

[Outro]
Steer us (nearly)
Clearly (to reality)

A MATH AND SCIENCE NOTE

What are vectors?

• A vector is something that has both magnitude (size) and direction.

• It’s like an arrow:

  • The length shows how strong it is.

  • The arrowhead shows where it’s going.

Examples of vectors:

• Wind blowing at 10 mph east.

• A car moving 60 mph northwest.

• Force pushing an object 5 Newtons upward.

Not just size — also where it’s aimed.

What is the angle between two or more vectors called?

It’s simply called the angle between the vectors.

More formally:

• It’s the smallest angle you would rotate one vector around to make it line up with the other.

• It’s important because it shows how closely two directions or forces are aligned.

• In physics and math, you often calculate it using the dot product formula:

cos⁡(θ)=A⃗⋅B⃗∣A⃗∣∣B⃗∣\cos(\theta) = \frac{\vec{A} \cdot \vec{B}}{|\vec{A}||\vec{B}|}cos(θ)=∣A∣∣B∣A⋅B​

where:

• $\theta$ = the angle between the vectors

• A⃗⋅B⃗\vec{A} \cdot \vec{B}A⋅B = dot product (a way of multiplying two vectors)

• ∣A⃗∣|\vec{A}|∣A∣ and ∣B⃗∣|\vec{B}|∣B∣ = magnitudes (lengths) of the vectors

Why is the angle between vectors important?

• In physics, it helps understand how much one force affects another.

• In engineering, it tells you how efficiently forces work together (or against each other).

• In navigation, it shows how far off-course you are.

Simple picture:

• Two arrows from the same point.

• The angle between their directions = the “angle between vectors.”

A vector diagram of human-induced climate change would show:

• Each major human activity as a vector (an arrow).

• Each vector would have:

  • Magnitude = how strong the effect is (how much it drives climate change).

  • Direction = what type of effect it causes (warming, cooling, feedback loops, etc.).

Some of the main vectors would be:

How the diagram would look:

• A large cluster of vectors mostly pointing in the same general warming direction.

• A few smaller vectors pointing opposite (cooling, like aerosols) — but not strong enough to cancel out the warming ones.

• Some vectors bending and amplifying others, showing feedback loops (ex: hotter temperatures = more wildfires = more CO₂ released = even hotter temperatures).

Conceptually:

• Human-induced climate change would look like an overwhelmingly strong push (vector sum) toward global warming.

• The overall resultant vector would be:

  • Very long

  • Very sharply pointed toward higher temperatures, more extreme weather, rising seas, ecosystem collapse, etc.

In simple terms:
Imagine a bunch of arrows (vectors) — the biggest and most powerful ones (like fossil fuel burning) all point toward “Warming” with huge force. A few tiny arrows (like aerosol cooling) point the other way, but they’re way too small to stop the giant surge.

From the album “Angle“

The Human Induced Climate Change Experiment