[Silence]
[Instrumental, Guitar, Piano, Organ, Synth, Bass, Percussion, Drums]
[Intro]
Signal rising… systems strain…
(A message buried in the gain)
[Instrumental – Alarm-like Synth pulses, Piano stabs, Low Bass rumble, Distant Guitar swell]
[Verse 1]
Third derivative, flashing red
Acceleration out ahead
d³I/dt³, the sign is clear
The curve itself bends into fear
Ignore the rate behind the rate
Underestimate, seal the fate
Doubling times begin to fall
Compression closing in on all
[Guitar arpeggios, Bass steady, Drums ticking hi-hat, Synth pad]
[Pre-Chorus]
Not just change… not just speed…
Acceleration outpaces greed…
[Chorus]
Warning! Warning!
(Perplexed! Sucked into the vortex)
Warning! Warning!
(Singularity-like behavior… who’s your savior?)
[Full Band – Guitar overdrive, Piano chords, Synth lead, Drums driving hard]
[Verse 2]
Spiral tightening toward the core
Velocity rising more and more
v proportional to one over r
Closer in, it pulls you far
Rotation quickens, forces climb
Shrinking radius, collapsing time
Toward a point where rules break down
Chaos wears the system crown
[Guitar riffs, Organ swell, Drums snare build, Synth arpeggio]
[Bridge]
Small disturbances, amplified
System-wide effects collide
Economic shocks, physical strain
All accelerating in the chain
[Instrumental – Extended Jam, Guitar/Synth vortex swirl, Drums double-time, Organ glide]
[Breakdown / Spoken Layer]
d³I/dt³ > 0
(Fiddle like Nero)
(Acceleration increasing…)
Never ceasing
(Raising suspicion)
Nonlinear transition…
(Whoa! Watch it climb)
Compressed time…
(Tisk, tisk, tisk)
Singularity risk…
[Chorus – Climax]
Warning! Warning!
(Perplexed! Sucked into the vortex)
Warning! Warning!
(Singularity-like behavior… who’s your savior?)
No steady state, no stable floor
Every second amplifies more
[Full Band – Maximum intensity, Guitar feedback, Synth spiraling, Drums pounding]
[Outro]
Spiral inward… faster still…
Breaking points beyond our will…
(Third derivative)
Warning…
(Change the narrative)
Warning…
(Alarming)
[Minimal Piano, Fading Synth vortex, Guitar echo dissolving]
About This Track
“Warning:” is a direct expression of third-derivative (jerk) dynamics and their implications for climate instability and risk.
Key ideas reflected in the song:
Jerk (d³I/dt³ > 0): Indicates that acceleration is increasing—signaling rapid nonlinear transition.
Compressed Doubling Times: As acceleration grows, the time between major changes shrinks dramatically, increasing urgency.
Vortex Dynamics: Like a vortex where velocity increases as radius decreases (v ∝ 1/r), the climate system may experience intensifying feedbacks as it approaches instability.
Singularity Risk: The system may approach a point where small perturbations trigger extreme, system-wide responses, resembling singularity-like behavior.
The song serves as both metaphor and message:
Ignoring third-derivative dynamics leads to underestimating risk.
“Warning:” captures the moment where the system is no longer just changing—
it is spiraling toward instability, where conventional assumptions break down and rapid transformation becomes unavoidable.
From the album “Third Derivative“