⟡ click any node to read its role in the topology
fig. 1 · ground motion record · a life, unfiltered

the subject is
a state vector.

in earthquake engineering, a structure survives by knowing its own natural frequencies. this site is that analysis, run on one yashvini shukla.

▼ begin the decomposition
fig. 2 · the transform

her equation.

ψ(t) = Σ aᵢ φᵢ e^(iωᵢt)

F(ω) = ∫ ψ(t) e^(−iωt) dt

this is her: one signal in time. run the fourier transform and five frequencies fall out. they are not orthogonal, so they drift. sometimes they converge, and she is one thing entirely. sometimes they diverge, and pull in five directions at once. both states are her.

watch the waves. they converge, they diverge, they never stop.

fig. 3 · the decomposition

every complicated motion
is a sum of simple ones.

u(t) = Σ φᵢ qᵢ(t)

fourier promised it. the buildings agree. so: take the messy signal above and split it into five natural modes, each competing for amplitude.

click a spike to mute that mode, and watch the sum above change shape  ·  click its name to visit it

mode i · ω₁ · space

the frontier is a mirror.

on interplanetary scale economics essay
financial instruments for martian cities, written before anyone asked.

what she builds out there is what she believes in here.

mode ii · ω₂ · earth

she taught satellites
to watch forests breathe.

phd research · environmental remote sensing university of nottingham
gedi spaceborne lidar + sar over boreal carbon and mangrove forests: measuring the planet's slow exhale. school of biosciences.
central american mangrove blue carbon wetlands, 2026
girkin, canty, rovai, morrissette, collin, shukla et al.: distribution, dynamics and future directions.
meng · civil & environmental engineering ucl
where the quadratic first meant survival. structural dynamics, fluid mechanics, the maths this whole site is built on.
a life update... from the arctic field notes
78° north, where the data comes from and the ego doesn't survive the cold.

credentials · phd research environmental remote sensing, nottingham  ·  meng civil & environmental engineering, ucl  ·  wetlands (2026)

the same physics that shakes a building carries a laser to a canopy and back.

she left it unfinished in 2024. 70% of a phd like this is code, and the models were already getting better at it faster than the thesis was getting written.

mode iii · ω₃ · abstraction

when the world gets loud,
she climbs one level up.

identity & the approximate math that governs it moonstack
the essay this website is secretly a rendering of.
memes, aka "atoms of trust" moonstack
the omega point of human experience: blockchains, dehierarchicalisation, belief.
weighted, curved graph theory working notes
mathematizing morality and the propagation of ideas: edges that bend under the weight of what they carry.
a working theory of qualia original research
her own account of felt experience, built in conversation with the qualia research institute's programme.
random meanderings on consciousness papers
a running series on time, qualia and felt experience: the eternal now, the aperture, the confiscation.

graphs, categories, transforms, qualia: different chalk for the same blackboard.

mode iv · ω₄ · stewardship

some frequencies you don't choose.

shumuk group · kampala general manager
manufacturing, property, hospitality. a family system held steady through weather of its own.

family is a boundary condition. she doesn't solve around it: she solves with it.

mode v · ω₅ · motion

displacement is how
a wave exists at all.

kampala → london → ahmedabad → troy, ny → san francisco → stockholm → germany → nottingham → 78°N → kampala.
each arrival a phase shift; each departure, conservation of momentum.

she doesn't collect countries. she collects reference frames.

fig. 4 · the coupling matrix · G = (V, E, W)

the modes are not orthogonal.
everything couples.

★ every project, place and idea is a node; the edges are the couplings. leave a thought on any node and anyone who opens it reads it.

how to read this figure

her own model turned on herself: the weighted directed graph her preprint runs on society.
+/− to zoom  ·  drag to pan  ·  ⏸ stills the drift

fig. 5 · superposition

none of these is her.
the sum is.

and at the centre of the sum, the still point. everything oscillates around it. it watches.

moonstack ↗ linkedin/marsgal ↗ github ↗ yashvinishukla@gmail.com