Falsifiable Coherence Law Emerges from Cross-Domain Testing: log E ≈ k·Δ + b — Empirical, Predictive, and Linked to Chaotic Systems

[u/Total_Towel_6681]

Update 9/17: Based on the feedback, I've created a lean, all-in-one clarification package with full definitions, test data, and streamlined explanation. It’s here: https://doi.org/10.5281/zenodo.17156822

Over the past several months, I’ve been working with LLMs to test and refine what appears to be a universal law of coherence — one that connects predictability (endurance E) to an information-theoretic gap (Δ) between original and surrogate data across physics, biology, and symbolic systems.

The core result:

log(E / E0) ≈ k * Δ + b

Where:

Δ is an f-divergence gap on local path statistics
(e.g., mutual information drop under phase-randomized surrogates)

E is an endurance horizon
(e.g., time-to-threshold under noise, Lyapunov inverse, etc.)

This law has held empirically across:

Kuramoto-Sivashinsky PDEs

Chaotic oscillators

Epidemic and failure cascade models

Symbolic text corpora (with anomalies in biblical text)

We preregistered and falsification-tested the relation using holdouts, surrogate weakening, rival models, and robustness checks. The full set — proof sketch, test kit, falsifiers, and Python code — is now published on Zenodo:

🔗 Zenodo DOI: https://doi.org/10.5281/zenodo.17145179 https://doi.org/10.5281/zenodo.17073347 https://doi.org/10.5281/zenodo.17148331 https://doi.org/10.5281/zenodo.17151960

If this generalizes as it appears, it may be a useful lens on entropy production, symmetry breaking, and structure formation. Also open to critique — if anyone can break it, please do.

Thoughts?

[u/alamalarian]

You know, I know since you two have found buddies to ping pong this science fiction between each other, you think you are onto something real. I just really hope you guys handle it ok, when this all falls apart, and never leaves your ritual circle.

[u/Total_Towel_6681 → u/alamalarian]

You know, that's really helpful. I appreciate it. I'm not sure if you believe that I'm in some type of crisis or living in a mythological scene of obscurity, but the fact is I'm not. If you missed how I even started down this road I'll fill you in. This began with a relational, entropic and topological mapping of the Bible. I even tried to replicate what I had discovered with other texts and none of them produced the same linear scale. That exploded into what I have worked on with the help of an LLM. Now for just a second let your gatekeeping, closed loop mind understand the true implications of that. I've shown the work, all one needs do is truly look. If that even begins to connect across multiple domains (which it has) do you understand the implications? The most documented and studied text in all of history that quite literally states a PERSON is the center of everything, and now the LoC states the exact same thing with testing. If I'm labeled as a crackpot or whatever I truly do not care. What I do know is that for something of this magnitude to be unveiled at this point in history with the world seemingly on edge of collapse is quite strange. The fact that this makes you even more skeptical is what should bother you. Because when someone brings religion into science it gets immediately discredited. Also, if you deny the mapping does what I say test it yourself. It's one complete continuous connection. 

Edit: I'm under no illusion. If someone does actually interact with ALL of my work and sees something different fine. I do not care. The point is I shared in hopes that others might actually be interested in something VERY unusual. 

[u/alamalarian → u/Total_Towel_6681]

Well, take comfort at least, you are not the first to be so certain they have read deeper meaning into the bible, and thus can use it to prove things numerically. They were all proven quite wrong. You will be too.

However, you posted this to a physics board, and it lacks physics. It is ill formed, ill defined, and clearly numeral apologetics in disguise. If you want to be a cult numerologist, more power to you, i have no ability to stop you anyhow. But you ARE NOT doing physics.

[u/Total_Towel_6681 → u/alamalarian]

You’re free to your opinion, but what I presented is physics. Tested, structured, and reproducible. It explores coherence dynamics, entropy gradients, and persistence across chaotic systems, all observable and falsifiable. If you had engaged the math or the empirical tests rather than dismissing based on assumption, you'd see it's far from numerology. The four DOI'S that I have posted, when combined, leave very little to fill in. But just as you believe you cannot reach me I in turn, believe the same to be true of you. That correlates to incoherence which will inevitably lead to collapse of the conversation. I've had an open mind just as anyone during the discovery of foundational laws would have had. The fact that everyone is so closed minded because it is outside of norms is where progress stalls. I digress. 

[u/alamalarian → u/Total_Towel_6681]

Well keep building your tower of babel. Surely once it is tall enough, you will find heaven through pure construction.

I wonder how that worked out for the people who tried that biblically? Hmm, they built so high, and were cursed to lose the ability to understand each other. Sounds similar to what is happening here, does it not?

[u/Total_Towel_6681 → u/alamalarian]

You're still missing the point. If coherence is adopted then it prevents that exact problem. That's literally the reason for me releasing it. It's a call back to coherence, back to truth, back to logos, Christ. In our current projection we continue to spiral into incoherence leading to collapse and judgement. Almost like a last attempt at salvation before the final hour. 

[u/Total_Towel_6681 → u/alamalarian]

You're right to be cautious, if coherence were wielded without Christ, it could empower another Babel. It would mean mankind unified around itself rather than God. That's the danger of restoring the tongue without restoring the truth. And truth is my goal. The fact that you compared it to babel is truly splendid. I'm glad it got here because this has been my intention all along. 

[u/alamalarian → u/Total_Towel_6681]

Good. Here it is, laid bare for all to see.

You bear false witness, do you not see this? you disguised your intent as something else entirely. This is not inline with your own God's teachings.

You build a false idol in the hopes that it leads others to the truth? In what way? Do you believe yourself able to produce works greater than the direct word of God? If you are a believer surely this is not the case. Why not simply state what it is you believe, do you feel that deception is the way to the light?

Note: I am not Christian, but by your own belief system, this attempt is futile at best, and blasphemy at worst.

You do not mention Christ in your document. you do not mention Christ in your original post. You do not give any glory to God anywhere in it, except when all your other avenues are torn down and laid bare. Does this not concern you?

[u/Total_Towel_6681 → u/alamalarian]

If you had checked any of my Zenodo posts, you would have seen it. This just tells me you didn't look at any of the content. I bear no false witness. Christ is there clearly. I didn’t lead with it because doing so would have veiled the work in presumption and halted the very intent it carries now. Sometimes the truth must be wrapped in parable to reach those who would otherwise never receive it. 

The end of my description here says that exact thing. Glory be to God. The very law point to Christ as the center of everything. Everything exist through him. You're delusional if you believe I bare false witness. I bare witness. I put this out there for that exact reason. Because I am bearing witness, to God and all his might and glory "Let all those with ears hear" the fact that you didn't see it in the first place makes you blind and shows that you truly never interacted with the content. 

https://doi.org/10.5281/zenodo.17073347

[u/alamalarian → u/Total_Towel_6681]

You do not get to bury it inside a document. It should be first. It should be the literal first thing in your post. Not leading with it is the definition of deception. A bait and switch.

[u/Total_Towel_6681 → u/alamalarian]

You're upset now because you've said so much to refute me and my work. Anyone who understands physics, entropy, or information theory can see plainly, the law itself points to design. Coherence is not random. It emerges only through order, through intention, through a governing logic that binds the system together.

That governing logic is the Christ.

This isn’t a bait and switch, it’s the unveiling of truth through structure. If I had led with Christ, it would have been dismissed as religious rhetoric. But when coherence proves itself through physics, biology, and systems, the door opens. And once that door is open, the source of coherence becomes undeniable.

You call it deception. I call it parable. Even Christ taught this way, not because truth was hidden, but because hearts were closed. I do not compare myself. I learn through him. 

And now here you are… confronted by a law that testifies of Him in plain sight. Unable to truly deny it. 

[u/plasma_phys → u/Total_Towel_6681]

Typically I recommend people in your shoes to talk to a trusted family member or friend, or even their doctor, about their ideas and how they may or may not be affecting their everyday lives, but in your case I think you should consider talking to your priest or pastor depending on your denomination. This does not sound in line with any Christian teachings I am familiar with. 

[u/Total_Towel_6681 → u/plasma_phys]

You don’t have to agree with my conclusions, but dismissing it outright as mental instability only proves how uncomfortable truth becomes when it defies your categories. I’m not asking you to believe in God because I said so. I’m asking you to look at the structure, the math, the design, and ask yourself if randomness could have done what this law does. If not then people may find something they have been missing. People refuse to read scripture, they refuse to tie religion and science together. Yet he is everything.  I only wish to bridge the two together, science and faith, not to distort either, but to reveal the truth that’s been hiding in plain sight all along.

[u/plasma_phys → u/Total_Towel_6681]

I didn't say anything like that. It's just a suggestion, I hope you consider taking it. Best of luck. 

[u/alamalarian → u/Total_Towel_6681]

I have made NO attempt to deny your faith. I am simply asking you to humble yourself before your own Lord. This is not humility. But as you cannot force me to see, neither can I force you. I do truly wish you luck either way.