# Hazelnut Forest revisited

In March I wrote a puzzle poem Hazelnut Forest, its title an equation,
λ = 2πħ/p
so here is, as I said would be, the promised explanation.

The forest is the universe when the Word made all things new,
and the Spirit found the first conditions good and proving true.
Its leaves, the smallest particles of which the world is made,
the calling birds swift flying in the dappled light and shade,
are photons that were called to be when light was first displayed.

Its title is a formula,
a particle’s waveform,
for everything is energy,
and particles just seem to be
the focus of a mystery,
the fine eye of the storm.

Another poem followed that wondered at the size
of the forest (or the world) as seen by wiser eyes.

How small the forest? We really cannot see.
We cannot give position, speed, time or volition;
to what is all around us, a truly strange admission.
As size get small and smaller, in the atoms heart and less,
in proton, quark or photon, and spacetime’s emptiness,
there is a finite limit bound in uncertainty.
How small is the forest? It’s just too small to see,
for in that finite limit is all infinity.

Men like Werner Heisenberg,
Max Planck and de Broglie,
worked out the math, and many more
have worked at detail and for sure,
where you and I give up and snore,
they plucked cherries from the tree.

A Circle With a Volume, I recall,
the last and strangest poem of them all,
came from Planck’s discovery
that length, like time, just cannot be reduced
infinitesimally small.
No matter what dimensions that we tell,
the smallest there can be, that we call Planck’s Length, L,
gives structure to the rest. There is no spell
that lets us cut fine finer till there’s nothing there at all.

The smallest, fundamental space,
the smallest, fundamental time,
are bound with that uncertainty
that binds the forest leaves.

Centre to edge is less than width,
the wheel’s centre to its rim,
less than the wheel’s width,
less than ear to ear.

But the width of a fundamental
is the smallest distance possible .
Where can its centre be?
How far from its edge?

W. B. Yeats’ troubled poem The Second Coming that I quoted in this poem sums the uncertainty and the resulting fragility astonishingly aptly:

Things fall apart; the centre cannot hold;
Mere anarchy is loosed upon the world,

From the inbuilt uncertainty of this fundamental seed, spacetime burst in an instant, followed by an immense expansion phase.
From fundamental to universal in microseconds.

This volume, this conundrum,
too veiled for us to see,
a mystery its diameter,
its radius an enigma,
the Sybil of Cumae,
time in eternity.

Ah! The Sybil of Cumae! Who was she?
Tis said she asked Apollo, who wanted her to wife,
that she might have, though mortal, as many years of life
as the grains of sand held in her hand.

False promises were made and when her wish was gained
her favours were withdrawn – Apollo raged.
Trapped through the years, her body aged;
kept shrinking in a jar ’til just her voice remained.

And why a hazelnut forest? In the mid-fourteenth century, following a visionof Norwich compared all creation to a hazelnut held in God’s hand.
Such a tiny thing, encompassing all creation, shown her by God in a series of visions in which she saw the depth and greatness of His love for all mankind.

# Hazelnut Forest

This perhaps should come with the warning, ‘Let the reader who can, understand.’
(Why a hazelnut forest? LHC? Who was the Sybil of Cumae?)

Small clues: LHC is the Large Hadron Collider, the largest machine ever built on Earth (27 kilometres across) with which many new particles, some expected, some not, have been discovered. Other clues are hidden in the tags, but not in the correct order (WordPress shifts them into alphabetical order).

Some time in April (I promise!) I shall write an explanation. I also promise (don’t look at my crossed fingers) that the explanation will not itself need explaining.

λ = 2πħ/p

How small is the forest?
How tiny its leaves?
Where the pattern of branches
tosses and weaves;
and the canopy sways,
and the summer winds moan,
until shortening days
say summer is gone.

Halfway in the forest
its deepest heart;
where calling birds fly
to its farthest part,
and the leaves’ rustling sigh
gives place to the sky,
and the height of the trees,
and the birds flying free,
and the tiniest leaves,
are the forest to me.

How Small is The Forest?

How far is it from constancy
to Heisenberg’s uncertainty?
A tiny length defines
a volume that we find:
the smallest we can know.
A fundamental distance
that we call Planck’s length (L)
shows there is a thickness
we cannot go below.

A circle has a volume just like a carousel
the volume of a circle is pi times r squared L,
(by this we come to see
there is no ‘true’ 2D
and a circle without volume,
is an anomaly).

A Circle With a Volume

This volume hides a mystery.
How small can it be?
How can it be measured,
a space too small to see
by eye or LHC?

The smallest space we cannot see:
the rings inside, the rings inside,
the rings inside a tree,
is found from four-thirds pi
times its depth to power of three.

This volume, this conundrum,
too veiled for us to see,
a mystery its diameter,
its radius an enigma,
the Sybil of Cumae,
time in eternity.

Radius is half of width,
we know that very well
but half a fundamental
is a word we cannot spell.