Category Archives: Maths

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Schrödinger’s Clock

And so, I watch my finger tap and move across the screen. I count in seconds. And so it goes, one moment merged into the next. I’m trying to find my way through this bracken, through these weeds and thorns. I push ahead. It’s quiet. only the robin knows I’m here and he understands me.

I’m muddled in-between loss and time, in-between memory and now. I try to makes sense of it all.

And here it comes, that sense that the universe reflects me, that mirror outside my door. I’m perched. I’m high up somewhere, somewhere cold yet warm enough for me. My long cape will scrape the earth, disturbing stones as I climb. And yes, my feet bleed into the soil but it’s a good loss, a purging somehow. Giving blood back to the soil. And then I sit.

I’ve been here before, high up overseeing the land, my land, the place we built upon and here and there through the spheres of teardrops I see our world turned upside down. Our boy and I on the hill that we built with our hands.

The clock ticks round. It counts in thousands now, eighty-seven of them and six hundred more but it means nothing. It’s a construct, a passing of weather, of seasons, of my body changing and our boy turning into a man.

The minutes are randomised up here, every possible second remaining on our probabilistic hill. And here we sit on the top looking back, looking down. We Made This. We call out, we shout it out into the clouds. Ravens catch it on their wings and take it higher. Their black rainbows glinting in the sun.

I remember this place, this bench at the start, the dog walkers, the litter eddies fluttering by the bin and pigeon shit on the picnic table. Even that was shaped in black and white, the residue of food, expelled into the air and landed just for me to notice on my own. It had dried to form a Tao symbol and I smiled and wandered on.

And I’m pulled, jostled as though waking from a dream to see our land now and how many losses have been carved out in people since our own? How strange it seems now to have walked and spoken to strangers back then, no masks in sight, no fear of breathing on each other and we could hug and they’d take my hand.

How removed it all seems now, removed from ourselves. That sense of severing. I sit here as vaccines are pumped into muscles, as charts change and people hope. And there’s that sense that we will come through this, that we’ll lift each other up in our arms and twirl around. I can feel it, that craving for how it used to be. To have it all back again.

And yet if there’s one thing this decade has taught me, it’s to let go of the linear and any sense that what we had will phase back in again and return.

Call it a new normal if you choose but like the hundreds of thousands of losses that bind us to each other now, this is not something that fades. It’s etched into who we are, into a generation now, into our psyche, into our souls.

I remember last spring and that sense that maybe, in a month or two, it would be behind us. Like queries from the un-widowed, hoping, questioning and do you feel better now? That sense that this will heal like a break, like the dull ache after the snap of bone. And they’ll say, oh look she walks with a limp now, but they won’t feel it, they can’t feel how the limb has been changed on a molecular level, the scar-knitting-collagen-weaving permanent change to your form.

And I wonder how we’ll move from this? I crave that the sense of solidarity which we felt, that dazed and disoriented need to connect, will remain. Don’t let it seep away, to be forgotten, to just be the Year That We Wore Masks. Let it open us up, break us out of our stale paradigms, our tiny fearful islands. Let this be our chance to focus on the universal self behind the form and the foolish idea that we are separate in any way.

And I pause. A blackbird winks at me, comes close but won’t cross the line. My outstretched palm is a step too far. He’s found a worm, he’ll be just fine.

The hands have moved around while I tap and I come back to time yet again.

I’m left with the sense that nothing is as it seems. That I live on a Mobius strip somehow looping and doubling back on myself. I am inside and outside of time in one breath, I am fluid, I’m here and there. And if I have a point (she often has no point, it’s part of her charm*) it’s this. I used to be time based, I’d be linear and I’d have plans. but then loss swoops in and caws, circles round and says no more. Who wants to be linear anyway, where life is predicable like it used to be? Now we float and flip, thither-zither in the air. Murmurations cut the sky, 87,600 birds, ripple, shimmer, dancing black. I wave to them from the hill that we made, they tip their wings to us in respect.

So I remain in the tangle of my quantum mind, both then and now, a superposition of me. I am Schrödinger’s girl; a wife and widow and it’s not till I notice my thoughts that I find out which one I am.

xxx

*A Few Good Men, 1992

by

Teoría de Ondas #1

And the weather came up to greet her. She was so thankful for its covering, the solid mass of grey and in the twist and ripple of the orange and tired greens she could relax.

It was a time of ease, of unfurling and soon she would be out there, twirling, the rain clattering into her face, like sea spray, like that moment, that becoming.

And there she was, purple-wrapped in chiffon, hair up ended by the gusts and from the deck, their town would shrink and from their place above the churning grey they would be captured.

There. Then. In that second that defined them. Together swaying.

And today storms promise from beyond her double glazing and she’s primed to be out in it once again. To be twisted and ruffled, inverted like the leaves that stir her hair. And her feet push concrete but all she can feel are the waves, glorious, impermanent, rising up to meet her like that day.

Paul drove them, to drop them off from his tattered golden car. His children chirruping behind her head as the ship reared up on their left. The softened autumn sun glinting off the side of his bald head and they were there. Piling out onto the slipway, suitcases, hugs and her purple scarf danced around her, untethered.

by

Building Blocks

We sat together in the dappled light at the back of the bus and I noticed him staring out. Did he see what we called the Spelling Hill, like I did? Did his eyes rest on the pavements that we walked for years? I saw the trees, I recognised them even now, their shapes and they punctuated our journeys long ago.

And then the road curved and the bus trundled its way into town. We drove over the subway I painted, over the bright colours from primary school and I stood there with him, proud and young and we were all there together back then. 

We rattled, his secondary school came up on the left and was gone. The slope up to the gates, the Home Straight he called it and it seemed so small, so close to home. How could it have seemed such a massive step? Yet it was, back then. 

And down the hill towards the top of town and past the hospital where I half look. And there’s the wall that I rushed past on that winter morning, coat flapping, heart pounding into the doors and the black caverns they contained.

Nineteen years ago I sat propped up in a bed, a bed-guard to my side so I could feed him where I lay and I held him but now we sit side by side in silence, a packaged-up toy at his feet. I’ll post it later. I had folded the bricks into tiny bags, with care, in colour order, I thanked them and went on my way. And now someone else I’ll never know will open the box soon and build, but not us, not with those toys.

The hospital fades and to my left I see the new builds, the expensive apartments and the cranes and steel. Their branding is loud, insistent and a huge sign comes into view, it says ‘Discover Your New Life.’ I focus on the words and pull each one into me, as though every letter was illuminated and then we pass.

The train station arrives and with it, the site of him marching off to college, to the right, under the bridge and away – but not today. Even that mass of buildings which I visited twice seems small and close, just here, in our town, by the station. Local.

We hold the parcelled-up toy between us, taking turns to lift it as he works the ticket machine and as I  pay and collect tickets for him. A pass the parcel game with no forfeits.

Outside at the front amongst the taxis and the rushing people, we pause, we stand huddled to check on what we’ve just done. One of the returns tickets is missing, so while he waits, holding onto the toy, I go back inside and resolve it. The ticket master is kind, he looks like a young Rob Brydon and everything feels alright. 

Back outside I notice a man to my left, and he wears my husband’s clothes, his head, with a similar angle and his stance. I find myself staring but pull myself away, back to our son but I am caught up. I am a tangled mess in a moment that didn’t happen, in a parallel time where my husband stood there helping us. And I reeled. I shattered on the inside as we moved away from him.

On the bus home and from my vantage point at the back, I note the heads, the strangers swaying as we turn up the hill, our son sat with the toy parcel, two seats away and to the right, there’s a soft, gentle tembling of a lady with Parkinson’s. I want to hold her. I want to get up and with no words, slip onto the the seat by her side. I want to hug her, to ease her till the shaking fades, but I can’t. I hold her with my eyes instead and wait for my stop. 
I will take the parcel from our son and while he makes his way back home, I’ll walk up to the Post Office and sign it over to someone else. 

We rounded the island, the out of date sunshine lit up the bus and strangers jiggled, most in silence, lost in their own worlds. I watched the back of our son’s head, I remember the curve of his skin behind his ear, I used to see it when I first fed him but not now. Now it’s covered in long hair and he looks out left. 

Behind me, in the very back seat, a tiny girl sings out, she is free, oblivious to others, and her voice fills the space. She is full of joy for her journey, she is out and ‘the wheels on the bus go round and round, round and round‘ she tells everyone. Some zone her out, others smile and I see how perfect it all is. 

Soon, sooner than she realises, she’ll be sat on a bus with her mother, with train tickets to University in her bag and they’ll prepare. It will be soon and though they know that they have years right now, it will disperse before their eyes, it will seep away and ripple out through time. Then they’ll be me, then they’ll be us, sat on a bus marking memory. 

I press the bell and the bus slows down, as I wobble, clutching the pole, I take the parcel from out son. His warm fingers let it slip from his grasp and now it’s mine. I step from the bus and glance up but I can’t see him, the light masks my view but he’s there somewhere heading home. At the Post Office while I pay, I think of the bricks and bits of plastic tucked inside, I think of our games and the things we created. I hand it over, it belongs to someone else now and as I leave, I lock eyes with a tethered red setter and I have that sense that even the animals know what I’m thinking. 

Nearing home I cut under the subway I painted, it shines out despite the years, despite the hours since we stood there grinning into the lens. And then I turn, left and right and almost back. At home, our son will have beaten me too it, he’ll be practicing keyboard, he’s got a concert coming up. I imagine him smaller, kneeling by a smaller keyboard, learning Jingle Bells and now he’s in the opposite corner on a piano, hair shoved behind his ears, fingers blurring and outside on the patio, my titanic rose has come into bloom. It reverberates with his rhythms and I quicken my step. 

In the pathways behind our home, the council have been out, they’ve mowed the grass. It makes my nose run, my eyes pool up. Remnants of its growth are everywhere, they carpet my route like confetti, in a celebration of movement and time.
We’re nearly ready and tomorrow our son will use the tickets we’ve just bought to head to University and as my feet push the pavement, my eyes start to run a  little more.

Wheels turn round and round, making complete revolutions and we are fine. We will be fine. We are fluid. We’ve got this. ❤️

by

Circle Theorem

These trees know, they seem to swirl today as if to show me. They bend, weighed and twisted but still grow. And the cedar where our small son climbed with friends, (when the children who squeal in the park were not yet cells, when the parents who came to create them had not even met,) and our small son learned to clamber back then.

He climbs now, hour upon hour later and our moon has moved around us many times, stars have imploded and the tree leans in towards our home, its foundation weakened, but it still found a way.

Our son, a man in the mirror that his Father used, negotiating formulas instead of fronds, rearranging coefficients instead of crayons and in the echo of him on the carved out hollows in our tree, I see us all.

I strain my neck to look for seagulls but the sky is quiet, clouds brush away the blue like a hand stroking head, like a comfort to rely on and everything swoons.

Out boy morphs to a man, saturated with number and possibility and we are all in the trees, we are every leaf and rustle of unseen things, we are the fragile wings of the birds, of the things that flit and land and time cannot touch us and we are here, still together.

We are everywhere, integrated and we are strong.

by

Hush Little Baby, Don’t You Cry

And he was born, imagine that? He was born.

Out and up, into the world of senses where he felt and he saw and he heard. He moved. Limbs wriggled and grasped and neurones leapt and charged and pulsed. And his mind whirred like a great churning machine, like a creature that resonated with the knowledge it consumed and so he grew.

And he grew and expanded until the sphere of his world touched mine and we collided and we merged and we entwined.

And our lives that we lived sparked new life and he was born. And I glow, I reverberate to the beat of his heart. Out there now, seeing and feeling, hearing and moving, making his mark on his world. Neurones firing, ideas churning.

And I think and feel and hear a new born cry. He was born, dear God, he was born.

Without that breath, I would not be here, without his view of the world, I could not dance, without his perception of the world I would not think in these circles, in these layers. Without that life I would not be, I would not be here as I am.

And so his mother lived and she gave birth to him. And he was born and we met and we merged.

And I gave birth because of him, and we lived then and we live still, and we breathe and we thrive.

He was born, dear God, he was born. And on a bright day in March he appeared at my door and we smiled and I welcomed him in.

by

A Brief History of Us

In a park, somewhere in an old deep green and bristled wood, there was a car. It was an old car, corners had rust and the seats had seen better days but it still worked. And although the miles had built up on the clock, it still drove quite well, well enough to bring him to her door.

They sat in the car, her hair waving and him in the driving seat with his list of objectives and plans. They talked. They always talked and here in the car, near the car park at the swimming baths, they sat and talked about Stephen Hawking.

She didn’t have much time for scientists, not in those days and she listened to him chatter and enthuse. It all seemed so alien to her, so remote from her ways and her thoughts.

There in a park, far from where she was now, they would sit and think about knowledge, argue over the unknowable and as lunchtime turned towards afternoon, she promised to read the book.

A Brief History of Time became their bible and on distant settees far from his, she made notes and she frowned at the pages. And as weeks became months and strangeness seeped into familiarity, she found her way.

Planets crept into her soul and atomic mass with all its inherent uncertainty became the conversations of a Sunday night. How odd it seemed that she grew to follow his ways, his words and yet now, leaning up the kitchen cupboard, how strange it was that there could have been any other way than this one.

This was the way and they knew it at a cellular level, and certainty was woven into every interaction and every dream.

And years later their son was on his way home, top deck, front seat of a double decker. And the trees brushed past the glass that held him and his college bag was heavy with unseen words.

She thought back to first of the parks and his old car and all the talking. There seemed to be no passage of time between now and who they were back then.

Stephen Hawking had bent the fabric of their spacetime and they rolled into each other with a permanece that was unknown to them, back there, back then in the car.

In the now, the bus with their child came nearer and she thought of the worlds that had changed. And in an echo of the car wheels turning was their son playing out all the maths, their boy calculating and rejoicing in calculus and if he could, he’d have sat in the back of the car in the past and shown his parents the workings out. There, on his pure white page was the algebra to the split screen experiment and equations for Schrödinger’s cat.

In a park, in a car many light years away from here they all sat, together. And they were unaware of this day unfolding as they read, as they talked, as they laughed.

by

This Woman’s Work

She listened to his breath and watched his hands, they were resting in folded arms across his face and she thought of them fresh from birth, grabbing onto her thumb, wrapping themselves around her finger. And then hot and small as they fumbled with bright bricks on the floor. 

There were hours when she held them on the walks to school, past their familiar way points, the big brick wall and the Spelling Hill, the Opening Trees and then the gates and they held pens. The hands she looked at now, that gripped the pencils, that formed the words, that scribbled and drew mazes then shaped sentences across their days, were the hands in the final playground when they swung from monkey bars, one determined grasp after another, pulling himself along before they left, before the photos at the gate and they left. 

She remembered his hand as it clutched hers, as they sat heads down on the pews, in darkness when the light was sucked out of their world. And how she held tight, how she clung firm to him and him to her as they stumbled forward in an unstable new world and then they looked up. 

To his hands, bigger, lifting heavy bags of books and different walks without her and he grew. He grew in ways and wisdom, in taking on his world and subjects came and subjects went, fingers folded around revision pens, shoving through hair as he leant over exam papers and he thought. His mind whirring and whirling, making links, his fingers fiddling as he waited for results.

And now autumn wakes them up again, to rain washed lanes and leaves. And now the road rushes underneath him as his new day comes into view.  Hands in pockets and a bag full of tricks, the compasses he holds now, he guides now, the calculations that he makes and his hands are strong and firm as they press buttons and follow the sines. Manipulating co-sines and tan in ways she cannot understand and she watches him go striding, preparing with a fistful of ideas, with complex numbers at his fingertips and behind him go the toddlers and the children he used to be, skipping, running in his steps and the hands she used to hold, wave to her and she counts every moment as he plots out his next phase.

How the hours have wrapped around us, she thinks, her baby, their boy and  their joy. And as the sun warms pavements and rain drops lift themselves up from the ground, the man he is becoming makes his way back home.