Computational Hardness

I was reading about John Nash and ending up on a quest to read more about computational hardness. Computational hardness struck a chord with me about the series I’m writing, Incomplete States.

In computational complexity theory, a computational hardness assumption is the hypothesis that a particular problem cannot be solved efficiently (where efficiently typically means “in polynomial time”). It is not known how to prove (unconditional) hardness for essentially any useful problem. Instead, computer scientists rely on reductions to formally relate the hardness of a new or complicated problem to a computational hardness assumption about a problem that is better-understood.

h/t to Wikipedia.org

The basic foundation about the Incomplete States series involves the arrows of time and character interaction through the framework known and accepted as reality. As I played with the concept behind the series, experienced epiphanies, and evolved my understanding of the concept I wrote about on a fictional stage, I struggled with the ending. I didn’t want me (or readers) to finish the series and say, “Well, that was a waste of time.” I eventually conceived of an ending that matched the story-telling, an ending that I could accept as a writer, and would probably be accepted by most readers. By that, I mean there’s a satisfactory completeness, if not a conclusion and closure in the traditional sense.

Sounds like science fiction. You could call it that. You can also call it speculative fiction.

Haruki Murakami

See, at my core, even though I’m an organic writer, I seek order and structure to what I’m writing and doing, something that defines the path(s) that I’m following and establishes goals. That helped me put my ass in a seat in front of a computer, type, revise, and edit day after day for the past two years. Computational hardness assumptions and falsifiability helped me understand that what I was doing as I was writing the interacting, nested, and overarching stories of the six main characters in the four novels in Incomplete States was processing reductions, creating and transferring problems to other problems.

In essence, the problems presented couldn’t be solved, but creating and transferring the problems to other problems helped elaborate on the problem for the me (the writer), the characters, and the reader. Doing this enabled me to eliminate solutions for the three of us, and drive and narrow focus. Through the characters and stories, I would go through best, worst, and average case resolutions for them for a given path being followed.

“The first draft is just you telling yourself the story.”

The beta draft is almost finished. With it done, I’ll have a much fuller understanding of what I set out to do. When I read the million words of output, I’ll see where I deviated or failed. Then I’ll be able to further shape, refine, and reduce the story that the series tells.

It’s been a challenging series to write. It feels like the series has absorbed much of my life energy. As I draw close to completing the beta draft, I’m eager to be done, and sad that this part is almost finished.

This part is the imagining. This part is where I plunged into the deepest oceans of creativity, diving down until I ideas and stories crushed me. Then I surfaced, sucked in a deep breath, and plunged in again.

This part was so much fun.

I don't know what I'm doing, but I'm doing it really, really well!!!

As I wrote, I created a document called “Epiphany”. It’s a compass to help me sort thoughts and establish consistently on a macro level. I developed thirteen epiphanies as I wrote the series.

The epiphany that grew as the greatest one to keep in mind was, “The key to consistency is consistent inconsistency.” Frankly, it scares me. I get anxious thinking about those words. It seems like an oxymoron, yet, once established, I was surprised how well it works. I imagine readers writing it and clearly understanding what and why is going on. It doesn’t just spring up; I like my readers to think for themselves.

Douglas Adams

My coffee is at hand and my ass is in the chair. Time to write like crazy, at least one more time.

 

 

Arrows & Cut-ups

After writing and editing yesterday, I came across an article about the book, “The Naked Lunch”. It’d been decades since I read it, so I researched it to refresh my recollections. And I was curious about how the Beat Generation came to have that name, so I looked it up.

Before that, I’d been thinking about how my “Incomplete States” trilogy reminds me of “The Chronicles of Thomas Covenant,” mostly on a reflection of the complexity and patience required to read through and develop the plot. Then, reading about Burroughs, I found descriptions of the “cut-up technique,” and that struck home with my trilogy’s structure. I don’t use a full cut-up technique of slicing two separate pages and combining them down the middle, but the vignettes – “routines,” as Burroughs called them when discussing “The Naked Lunch” – works as a beginning to explain my trilogy’s structure. My trilogy is a cut-up of lives and routines.

And of course, there’s a little bit of “The Chronicles of Amber” in here, too, and some “Foundation.”

After that thinking, as I wound down for the day, I played with my arrows of time again, creating and labeling new diagrams based on the original diagrams. That was a reassuring exercise, reminding me about time’s fluid nature, and the basic assumptions I used as the trilogy’s concept. The reassurance was needed because I’d veered toward panic about some decisions made when finishing the first novel. I want to be true to my vision, and not mislead readers, and I was afraid that I’d gone astray.

In the end, I felt satisfied that I hadn’t. Maybe I was just rationalizing that to myself. More likely, the stab of anxiety is a natural reflection of the challenge of coping with the trilogy’s complexity.

Onward. Time to write like crazy, at least one more time.

Permutations of the Arrows of Time and its Effect on Now

Thanks to the notebook (paper power!), I further evolved my novel’s setting, establishing that, theoretically nine arrows of time exist and six stages of chi-particles exist.

A Now can have between one and nine arrows of time. The arrows of time affect how Now is perceived and experienced. When all nine arrows of time exist in one Now, the Now is dominated by entropy and chaos. It becomes extremely short-lived. The gamma chi-particles responsible for Now cycle through existence more quickly, gaining energy and mass while slowing. Once the gamma chi-particles gain sufficient and energy, they move into the delta stage of chi-particle existence and decay into elements.

In our Now existence, where I, Michael, am sitting and typing in 2017 on Earth, five arrows of time exist. Three are the forward moving arrows of time involving psychology, thermodynamics and cosmology (Hawking’s take on Eddington’s idea). They work in relatively parallel synchronicity.

The other two arrows of time in this reality are the biological arrow of time and the imaginary arrow of time. We can’t grasp the imaginary arrow of time but we perceive its impact; from this emerges the paradoxes and conflicts of our existence that we can’t explain.

Hawking’s three arrows of time are dominant in this Now, providing the Now with a relatively long life and stability. This also affects the states of time I call Hawking Time, which are the present and the near and far futures and pasts. The near and far states are extensions of the impact of strong psychological and cosmological arrows of time, providing us (as the observers) with the false impressions that the future and past exist when they’re actually just knowledge/awareness of other Nows.

In the novel’s Now, the same five arrows of time are in place as in our Now. The difference emerges from the Now’s creation. The Now was created when beta chi-particles encountered a wave function collapse. The five arrows of time emerged. That’s normal.

Here’s where it changes. The beta chi-particles would normally become gamma chi-particles. In this instance, the beta chi-particles became binary gamma chi-particles. This, coupled with a more dominant imaginary arrow of time, causes the binary gamma chi-particles to continually loop back into themselves. Crashing into themselves creates new iterations of almost the exact same Now, but with a side effect of chronological entanglement. In essence, the Hawking states of time are misconstrued about being the future and the past. Additionally, the binary gamma chi-particle presents the characters with the illusion that they can control the past and the future and overcome the inherent paradoxes.

This will not happen ‘forever’. Eventually, as in the case of a standard gamma chi-particles, the binary chi-particles of the novel’s scenario will cycle and decay to the point that they gain more mass and energy, becoming delta chi-particles, etc.

Glad I cleared that up. Needed to more fully understand it to be consistent and more clearly tell the story. Time to write like crazy, at least one more time.

A New Notebook

(EDITING NOTE: “Long Summer” was the working title for the trilogy that is “Incomplete States”.)

As I was writing this week, I realized that I needed a notebook and pen.

I had the pen. I’ve stowed pens in most of my coats, jackets and computer cases. I often also put one into a shirt pocket or clip it to my collar as a writing talisman.

But the notebooks have been used and not replaced. Fortunately, I have a stash of new composition notebooks, often referred to as ‘lab books’, at home. I pulled out a new one today and stuck it into my computer bag. Once at the coffee shop, I blessed it with my usual annotations on the cover of name, the month and year, and the place where I started using it. As always, I wrote using my Z4 pen. As usual, the ink didn’t dry before I swept a hand across it, leaving a black smear on my heel and a barely legible blotch on the notebook.

I needed the notebook because the computer was coming up short. I’ve been working out further kinks in my chi-particle theory and how it interacts with a wave function collapse to create ‘now’. All of this is the concept behind the novel in progress, ‘Long Summer’. Along the way, I began exploring the existence of more arrows of time than the three Hawking proposed, and did equations and charts about the permutations of time available.

It was all becoming confusing and entangled. Naturally, that led me back to the Copenhagen Interpretation, the EPR paradox, and finally, expanded thinking on quantum entanglement. Hence a notebook was needed. I could draw and chart all of this with explanations and labels faster than I could type. That visual progression helped me organize and clarify my thinking and understanding. I further evolved the thinking behind the stages of chi-particle existence and their properties.

After all that, I could finalize address the aspects of my novel concept that bugged me: how do chi-particles interact with sentient entities (such as Humans) to create a moment of Now?

If Now is the only time that exists (despite the apparent existence of the arrow of time), how and why do entities think of a remembered past/history?

If a past doesn’t exist, how does a perceived past continue occurring during a Now moment?

Of course, one thing to always remember is just because they remember a Now as a past doesn’t mean that the past actually still exists; it only exists (or existed) as a Now moment.

That led me at last to a paradox that I didn’t fully appreciate. The deception of our own observational bias about who and what we are, and how we experience the arrows of time, with apparent knowledge of a substantive and concrete past that actually causes and establishes now, continually gets in the way of comprehending, plotting and expanding in the other directions. I keep returning to the logic of what I know.

All this greatly enhances my appreciation for the amazing thinking and math behind physicists and their theories. My thinking is ‘deep’ to me and causes me angst as I struggle to hold on and comprehend. Yet, their thinking was so much deeper and more complex and abstract. They really are amazing thinkers.

Time to write like crazy, at least one more time.

 

Hairy Now

It became a little hairy with my thinking today as I coped with chi-particles and now while writing the novel, ‘Long Summer’. 

I was dealing with the side-effect suffered by intelligent, organic creatures when a now is forced into existence. I simply wanted to vet and standardize for myself what that side-effect meant. That vector of thought shot me back toward the chi-particle structure, earlier rudimentary chi-particle thinking about how it evolves and devolves, and the relationships established with Hawking’s three arrows of time.

So, weirdly, the chi-particle has imaginary mass and energy and gains real mass and energy as it slows down. Dropping to the speed of light, the chi-particles gain mass and energy and releases other wave/particles/energies that develop into the chemical elements of the known universes, but also deliver time and gravity, time occurring to create a now associated with a wave function collapse. When the collapse happens, then reality is formed through an intersection of the box with the three arrows of time – psychological, thermodynamic, and cosmological.

But – this is where it becomes hairy – I recognized that the chi-particle not only exists in a state of imaginary mass and energy, but also imaginary time. It seems like an ‘of course’sort of concept, but I struggle to keep it pinned in place in conjunction with the novel being written.

I’ve been trying to further understanding of how the chi-particle interacts with the known theories of relativity and matter. I’ve always (ha – I came up with this about nine months ago) theorized in this imaginary existence of this imaginary particle that travels faster than light that isotopes and variants exist. Chi-particles exist in everything in the a half state. Once they’ve achieved real mass and energy, they continue decaying. As they decay, they shift from real properties to negative imaginary properties. I haven’t evolved any theories about what this would mean to the box of now created during the wave function collapse at the intersection with the arrows of time.

But further, for there to be an awareness of now when the wave function collapses at the intersection with the arrows of time, a sufficient aggregation of chi-particles for a particle species – such as Humans, for example – must exist for them to have an awareness and knowledge of their own existence. It’s at that point, when the ‘Human’ chi-particles aggregate, that Humans can reach the point of, “I think, therefore, I am.” Yet, it’s fleeting. Humans can’t understand beyond these moments of time (with the associated arrows) because once the chi-particles decay to the point of negative imaginary mass, energy and time, Humans cease to be.

Meanwhile, playing with the periodical table of elements to establish how this all fits together, I realized that the table becomes a multi-dimensional matrix in order to accommodate the chi-particles.

I needed to write all this out to think it out, stabilize it and make it ‘real’ to me. I’ll tell you, I’ll be happy when I finish writing this novel. I look forward to returning to simpler thoughts and plots.

Now I’m done writing like crazy for today. It sure was crazy.

 

 

 

 

 

 

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