• The Engagement Paradox

    I don’t really want to start another division-by-zero post by pointing out how it is traditionally dismissed as “undefined,” but I have to, because it really is where The Engagement Paradox begins. It is easy to assume that the reason is something like “you can’t… Read more

  • The Particle‑Period Focusing of Intersecting Fields

    I became curious about the math to describe my interpretation of a quantum particle (as mentioned in Implications of Division by Zero and Point Paradox, the opening section of “Physics in a Distributed, Process Driven, Information-Based Universe“): Thought for the day: My mind wandered back… Read more

  • Division by Zero — by the Rules of Division

    Introduction When division by zero is dismissed as “undefined” something crucial goes missing. The conflict that “undefined” tries to avoid is not inherent to division, rather it reflects the limitations of the interpretations used to validate or extend division in other contexts. The consequences of supplying zero from the… Read more

  • In Case of Divide-by-Zero: Break Glass

    At some point last night I remembered when the whole “divide by zero” thing started for me, all the way back in grade school. We were being taught about division and it finally came up in class. The teacher wrote some fraction, which for the… Read more

  • LLMs Don’t Hallucinate — They Compensate:

    A Cognitive Mirror We Don’t Yet Know How to Read With the start of a new year, it struck me that I’ve been using LLMs for a bit more than two years now. I started with coding‑scripting problems in Lua for Filter Forge — not… Read more

  • The Arrow of Potential

    ‎Friday, ‎October ‎10, ‎2025, ‏‎9:17:50 PM | Dialogue I don’t know if people read my posts and wonder, “Where the hell is this coming from?” I can see it happening though. I’ve written before about typing my fingers to death trying to keep up with… Read more

  • WordPress → GitHub Pages Notes

    Copilot provided process overview Export When you click the export button in wp-admin/tools, WordPress will create an XML file for you to save to your computer. This format, which is called WordPress eXtended RSS or WXR, will contain your posts, pages, comments, custom fields, categories,… Read more

  • Physics in a Distributed, Process Driven, Information-Based Universe

    Implications of Division by Zero and Point Paradox Thought for the day: My mind wandered back to division by zero and it suddenly struck me that, if applicable in nature, it would be the point where a value ceases to be quanta and becomes qualia.… Read more

  • Proposed Doctrine of „ Notation

    Core Concept The `„` separator represents structured relationships, facilitating clear expression of division, inclusion, exclusion, sequence, and hierarchy across filenames, datasets, and computational identifiers. Read more

  • All or Nothing — Division by Zero

    If you divide by nothing, in one sense, you get nothing. In another sense, you are left with everything. However much there is to divide, all of it remains – undivided. The remainder is everything. To count it all, however, you must divide it up… Read more

  • Avonlea & Kzahn – Tern Vesper Lake

    More on Notes & Names… Read more

  • Avonlea – Highlands – Island Dawn

    A glimpse into the restructuring of key threads and story arcs… Read more

  • A Goddess & A Girl

    A quick glimpse at the Child of Paradox herself… Read more

  • Aeirn

    A quick glimpse of Aeirn, the realm of Child of Paradox. Read more

  • The Rift

    One of the distinguishing features of Aeirn, the world where my story is set, is the Rift. Created by the abuse of magic, in a string of wars a thousand years ago, the Rift is a tear in the fabric of reality giving a physical… Read more

  • Reality Check

    It’s amazing how a little thing, like an email, can have a big impact. I received an invitation to open a store at Cubebrush, and the next thing I know, I have gone and started laying the groundwork for the promotion of Child of Paradox,… Read more

  • The Journey Begins

    This is not my first blog. It is, however, the first time in a couple of years where I’ve been in a place where having a blog made sense. I let my art take over while my writing fell to the side, but plans are… Read more

  • Examples of the 4th Dimension

    This is a thought that just popped into my head after reviewing my last post. Right off the top of my head, I picked out two candidates for the fourth dimension of space; Scale and State. Read more

  • Musings On Physics & Metaphysics

    A lot of time has passed since I had the impulse to post anything; that does not mean I stopped writing my thoughts down! I came across the following on a buried tab in my Notepad++ application. I have tons of random notes like this,… Read more

  • Beyond My Grasp

    Advisory: I sort of choke and swallow hard before posting an article like this on the eye of paradox, in spite of the fact that I have a history of being rather candid about my experiences as a “transgendered” individual here and on deviantart. I know… Read more

  • Poetry and Figurative Language Paper

      April 6, 2009 ENG 340 – Creative Writing Dr. Shari Muench, EdD.   A pen and a piece of paper might technically be the only “tools” a poet requires, but there are many “literary” tools at his (or her) disposal as well. In addition… Read more

  • Fair and Sound: DegreeStory Replies

    Original publication: December 7, 2013 Re: University of Phoenix Online Associate of Arts in Business Bachelor of Science in Information Technology for Visual Communications Article #1 – 100 words answering the question: Is your pay fair? Fair, But Not Very Fair There are dozens of great… Read more

  • Bridging the Gap: A DegreeStory

    Original publication: November 6, 2013 Re: University of Phoenix Online Associate of Arts in Business Bachelor of Science in Information Technology for Visual Communications I am the fifth of seven children, and was an advanced placement student in Art, English and Drama in High School.… Read more

  • Taking Part in the Dance with our Eyes Closed

    Writing is the embodiment of aspiration. It begins with the will to overcome the unanswerable statement of a blank page. It proceeds in the blind ambition of being read and comprehended. It strives to commit to a more permanent memory the thoughts and ideas of… Read more

  • Patience and Perseverance

     I have to preface this as the follow-up to The Price of Dreams, and point out that it is over two years old now. Seems like a day, and a life-time ago. I’m sorry to say, that my life did not go on to a… Read more

  • A Touch of Fear [reblog]

    I meant to comment and ended up reblogging. Now I know… A good scare is like good sex. It is gripping and all consuming for an eternal moment, but once it has washed through you and you catch your breath, it evaporates. Like smoke, it… Read more

  • Does it ever get better? 

    I am well acquainted with the depths of despair; that place where words hurt in every way and never more than when they give the faintest glimmer of the only thing that could possibly be worse than despair: Hope. Hope makes you drag yourself through… Read more

  • Do current theories on Black Holes address Forces other than Gravity?

    From time to time, I stumble across a question I have to stop and ask, but I am usually in the middle of something that needs to be done. So, I put it off for later, often forgetting to even write the question down. I… Read more

  • It’s been a while…

    I have spent the past few years chasing after The Job and sliding down to the point where I’m scrambling to just grab A job. It’s an old, familiar story, and the details aren’t really that important. For the sake of my blog, all that… Read more

  • A Point about Paradox

    In the eternal moment, the past and the future are simply a matter of perspective and the past can be influenced by overlapping reinforcement or the intent of the resolving future. A time paradox is a self-informing sequence within a point. The classic grandfather paradox… Read more

  • Is This It?

    I was on my way home on Wednesday, September 23, 2009, with my dinner in hand, and I swear I just wanted to sit down and eat but I knew the bus would show up the minute I did. I had intended to eat in… Read more

  • A Spark

    My eyes opened and this is what I saw. You can in yourself be anything you desire. You create yourself from a point. You define your own existence. A soul defines itself. What words cannot define, they can characterize, so that the truth may be… Read more

  • Staring into the Face of Truth

    “A story is as good a way to organize your thoughts as anything else,” she points out, poised in the shadows in the doorway. I quickly conclude that she is playing the part of my conscience. That, or devil’s advocate. Either way, she’s me. I… Read more

  • Impulse

    Who am I? Why am I here? What is the point of my existence? These are questions we all ask at some point in our lives, and we can go our entire lives without knowing the answer. I suspect that a lot of people try… Read more

  • It Takes a Village to Break a Child

    I do not often get comments on my blog; if I exclude the pingbacks, spam and my own replies, I’ve received twenty-two comments from ten different individuals since I started the eye of paradox two years ago. Four of those people have identified themselves as… Read more

  • Point Penetrating Points Overlapping

    A number of my posts, particularly the ones dealing with transgender issues in my life, have been written on a long, dark night of the soul. It can be difficult to come back and read what I’ve posted and resist the urge to delete what… Read more

  • Exercise in Imagination

    I just stumbled across a few things I wrote for a creative writing class I took this past spring to fulfill an elective requirement. One of the assignments involved writing a short story based on a work of art found online. I had no trouble… Read more

  • Matter and Movement in Four–or More–Dimensions

    These days, it only takes a little curiosity, access to the Internet, and a bit of patience to find explanations of progressive spatial dimensions or examples of four dimensional geometry, such as the old favorite the hyper-square. Some of the things you will find use… Read more

  • Hidden in Plain Sight

    On April 27, 2008 at 12:36 am, I began a post — this post, actually — but got no further than the title. I don’t know if that was because that title summed up my feelings so well that there was no point to writing… Read more

  • A Glimpse into the Eye of Paradox

    On any given day, a small handful of people find their way to the eye of paradox. Some of them probably just glance at an article to see if it’s relevant to the search that brought them here. One or two might actually read something.… Read more

  • The Price of Dreams

    “We never remember the beginning,” she said quietly. “We pretend not to know why—but then that is one of our favorite tricks, isn’t it?” she glanced up at me, smiling at my confused silence. With her arms crossed she began to drift about the room,… Read more

  • Awakening

    I have pointed out before that my struggle with gender dysphoria prompted me to search in all directions for a solution to being born in the wrong body, and the determination with which I pursued that goal in spite of all doubts and discouragements —… Read more

  • Slightly Left of Nowhere

    I rarely have time to write or draw, and as my friend keeps reminding me, I’ve little hope making a living as an artist or writer. I have to agree, knowing that even brilliant writing and art takes a massive investment of time and effort… Read more

  • It is Where You Can, and Yet… CAN You? On Writing What I Know.

    I may have commented on it in passing, and it is something I certainly never miss, but my art and writing have always brought out the real me. In a sense, that is appropriate enough; isn’t it a common recommendation that writers draw from their… Read more

  • Recapitulation & Reflection

    A person looking at my blog might get the impression that I do not get much writing done, and it is true that there are a lot of things in my life that get in the way of me writing most of the things I… Read more

  • The Absolute Truth

    The best representation of a thing is the thing itself and yet there are things that we experience great difficulty recognizing in their true form. The truth is one of those things. In speaking of the truth, what we have is a word–and as a… Read more

  • Fly By – Asteroids

    Once again, I am posting images from my space art portfolio. This is a reworking of one of the first space art cover illustrations I attempted, but never submitted, for Analog. It was created in Photoshop as part of a new series of space art… Read more

  • Divide by Zero

    Edit: Updated on Jan 12, 2026 with supporting math conforming to the intuited logic of the original post. I always came back to this article expecting to be ashamed by my “absurd” assertions. I always came away from reading it thinking there’s absolutely nothing wrong… Read more

  • Blue Horizon

    Once more, I thought it would be nice to add a little visual content to the eye of paradox by posting one of the images from my voidscape collection of space art. This is actually a pre-visualization done at a smaller scale than I normally… Read more

  • Gravity in a Distributed, Process Driven, Information-Based Universe

    To a curious mind, gravity is a curious phenomenon. The more one pays attention to it, the more fascinating and mysterious it becomes. Today, we have the advantage of having had great minds ponder the mystery and define what can be observed and inferred by… Read more

  • Above the Horizon

    This is my first attempt to feature some of my artwork here on the eye of paradox. I have always had a strong interest in becoming a professional artist, in spite of having little time and insufficient resources to develop my skills to that level.… Read more

  • The Damage is Done

    I wonder what is going to happen next. I wonder if I can hold it together to get a job and move out on my own. I wonder if I can manage to hold on to that job and support myself. I wonder, because I… Read more

  • A True Identity is Nothing to Fear

    The response I received to my last post, Conundrum, prompted me to check out the recent posts of the people who commented or posted blogs in the transgender category yesterday. As a result, I became aware of the outcry against the appointment of Dr. Kenneth… Read more

  • Conundrum

    Today I find myself puzzling over the weird fact of my existence. The Internet created an opportunity to show a side of myself that I had long kept hidden. I am, at least in the terms used by the medical community (and by extension, the… Read more

  • What is the Point?

    I am back in school, freshly enrolled in the University of Phoenix in pursuit of a Bachelor’s Degree in Information Technology–Visual Communications. I do not have a great deal of time outside of work to devote to this, so I was naturally put out when… Read more

  • Point Paradox

    “Detailing the dynamics of point paradox has never been easy, but the founding principle is prime awareness, the awareness of one, all and none” she elaborated, settling lightly on the arm of the couch. “Point paradox is initially a question of absolutes. An absolute can… Read more

  • The Medium of Existence

    “A soul is absolute and absolutes are autonomous,” she asserted firmly. “A mind is paradoxical, acting as an inclusive, exclusive and occlusive interface between absolutes, abstractions and manifestations. A mind, with the absolute of a soul as its foundation, is the focus of existence, whether… Read more

  • I’m not dead yet…

    The rare and occasional visitor to the eye of paradox will note that I have been absent for the most part from my own blog. Ironically, this is not because I have nothing to say. Quite the opposite; I have too much to say and… Read more

  • The Mind Races On While the Pen Drags Behind

    My previous post on The Paradox of Death is a bit more stream of consciousness than I had intended. That is one of the things that happens when writing about thinking existentially. I know I am going to have to reassess what I wrote; there… Read more

  • The Paradox of Death

    There is more to this, to existing, than meets the eye. It is its own prerequisite and it hurts think about why or how. The only thing that hurts more is trying to make sense not existing. But, given our circumstances, we can’t really afford to take… Read more

  • The Impact of Social Stratification

    We’re all human. None of us have a say in what circumstances we are born. Pretty much any other characteristic by which people can be defined produces some form of social stratification. Thinking about it boggles the mind. I’ve grown up with the ideas of… Read more

  • Still Scratching That Itch

    The whole moving and searching for a better job thing is going slowly, so even with school work, there’s been time to write. Maybe I should not say, write, precisely. I have had a bit of time to pound out some new ideas and wrestle… Read more

  • Paying the Price

    As true as it is that some people are incapable of valuing things they have not paid the price for, the fact is that free money is never free. There is terrible cost for being on the public dole, that is immediately evident when you… Read more

  • Take a Moment to Reflect

    Even with the best intentions no one has the right to impose a system of thought or action on anyone against their will. Ironically, that is exactly what has happened to all of us as we were born into this world. It is in some… Read more

  • The Best Way to Fit In? Don’t Stand Out

    Grouping is an activity that comes instinctively and automatically to people. It is part of a filtering process that allows us to make sense of our universe. Anything can serve as criteria for grouping, but because this is a perceptual-interpretive process; differences and similarities in… Read more

  • A Touch of Fear

    A good scare is like good sex. It is gripping and all consuming for an eternal moment, but once it has washed through you and you catch your breath, it evaporates. Like smoke, it unravels, curling in upon itself and expanding into nothing. Before you… Read more

  • Being at Odds with Life

    I never imagined that I had a monopoly on being at odds with life. It is simply a state of being with which I am much too familiar. I have spent most of my life struggling with things that most people take for granted, stumbling… Read more

  • Open Letter to Lindsay Lohan

    Hello, Lindsay. I don’t know you and you certainly do not know me! That said, I do not really expect you to actually read this letter, and if you do, I really do not expect anything from you. Still, it is an open letter for… Read more

  • The Price of Admission

    What is a society, what is it made up of and how does it work? The simple answer is, jobs. Society is all about jobs. Living in the wild, surviving on their own, human beings had no jobs. Their lives were defined by the tasks… Read more

  • Time in a Distributed, Process Driven, Information-Based Universe

    In order to understand time it becomes necessary to ask if time is an objective or subjective medium. To be clear, by considering time subjectively I do not mean simply in terms of our subjective perception of time. The question asks if time is absolute,… Read more

  • That Itch to Write

    It seems that the itch to start working on a book has come back to me. It has to be an insane impulse, because with school and work I have no idea where I’ll find time to actually write anything. Then there’s the fact that… Read more

  • What is evil?

    There is a line in “The Matrix” when Morpheus confronts Neo about a wrongness in the world, “like a splinter in your mind.”  It was caused by an instinctive apprehension of the artificial reality he was trapped in. It is similar to a feeling many… Read more

  • GID?

    In my bio on Helium, I confided a history of GID. That is Gender Identity Disorder, for those of you who did not know. There are a number of problems with that particular label for a condition that is poorly understood at best and entirely… Read more

  • Explaining the Different Dimensions

    I normally avoid the first person when writing an article or essay, but in this case I need to begin with a personal story A year into my studies at Humboldt State University a mutual acquaintance showed up at my friend’s apartment while I was… Read more

  • Is there really such a thing as the present?

    Is there really such a thing as time? That is a question it is helpful to ask in order to address what we call the present. That is because our experience of time is completely subjective and because everything we are is dependent on that… Read more

  • Noosphere: The Future of Evolution?

    Those moments in life when we are confronted with a new concept or idea can be life altering, seemingly setting the mind free to roam a new and undiscovered country or even knocking the world completely off its hinges. Sometimes that can happen even with… Read more

  • The Purpose of Religion

    In asking about the purpose of religion, it is necessary to ask first if religion is not simply a product of our own search for purpose? The answer to the primary question depends on whether we perceive religion as having a divine origin or if… Read more

  • The Implications of the Mind in Matter: The Prospect of Oblivion

    Posted on Helium under: The fundamentals of self-awareness The mind is an inherently fascinating and difficult subject to pin down. Philosophers have been musing over the mysteries of the mind for thousands of years but it is, without doubt, the scientists who find it the… Read more

  • Readers from Helium

    Among the features not provided for contributors on the now-defunct Helium writer’s website was a way for readers to respond directly to the writers. While it was active, the only way for readers to respond on Helium was by posting their own thoughts on the topic at… Read more

  • Helium.com Articles

    I’ve been scratching out ideas since the writing bug first bit me in grade school. Somewhere in the back of my mind I always had this notion that I was going to devote some part of my life to writing. Of course, I’ve spent much… Read more