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
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,
your nose to your ear,
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 vision, Dame Julian of 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.