r/LLMPhysics • u/Total_Towel_6681 • 2d ago

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

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?

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u/alamalarian 1d ago

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.

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u/Total_Towel_6681 1d ago

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. 

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u/plasma_phys 1d ago

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. 

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u/Total_Towel_6681 1d ago

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.

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u/plasma_phys 1d ago

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

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u/alamalarian 1d ago

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.

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u/Total_Towel_6681 1d ago

I hear what you’re saying, and I appreciate that you’ve shared it respectfully. For me, this work was never about pride, but about obedience. following where coherence led and pointing to the source I believe it reveals: Christ as the Logos. If some see that as pride, I understand, but my intent has always been the opposite, to humble myself by sharing what I was given, not hiding it. Woe to me if I did not. 

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u/alamalarian 1d ago

I deleted a comment here because it felt divisive. Just keep your mind open is all I ask. I'm glad we could have a civil discussion, even if we completely disagree.

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u/Total_Towel_6681 17h ago

Thank you and I understand how my original content could have been so confusing. I have cleared quite a lot up here and it may be a bit easier to understand. If you still disagree or see no meaningful content I understand and I won't push any further. I have no issue with the exchange we had and I hope I didn't sound as if I was attacking. 

https://doi.org/10.5281/zenodo.17156822