Artel21
Artel 21

lol, we gave you
#nevent1q…0pvj
let me teach you something: you don't start conversation with "Are you autistic"
have a read on https://artel21.vercel.app/bip-witness-removal.html and come back once you are done

2026-06-26 21:44:23 UTC

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What's your take on this note by one of the authors?
#nevent1q…hk0y

2026-06-26 21:42:09 UTC

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Then you owe me an apology.

2026-06-26 21:38:05 UTC

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Did I insult you?

2026-06-26 21:37:32 UTC

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How exactly is it unrelated? Appreciate your explanation!

2026-06-26 21:17:41 UTC

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What's your take based on previous discussion? Curious if you read @nprofile…qxj6 as it may change your view

2026-06-26 21:12:55 UTC

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Thanks for observation! What is your reasoning? Curious to hear

2026-06-26 19:13:21 UTC

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Like your thinking!
It must have been hard back in a day with so much information. Luckily truth always reveals itself.
Powers at play work on derailing us. I’ve been thinking how the freeze should look like. Hardfork and softforks turn to payops like in the case of SegWit.
Let us know if you have ideas on freeze mechanics. Appreciate your help!

2026-06-26 16:23:24 UTC

SegWit discount is fiat, it’s inflation disguised as scaling

2026-06-26 03:12:14 UTC

😬😬😬
#nevent1q…ylzt

2026-06-26 02:04:38 UTC

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Got it, I remember that from the book actually, will re-read that section just to be sure! Thanks for clarification!

2026-06-25 19:04:17 UTC

@npub1838…aslh @npub1vcv…my50 what is 1MB block size is equivalent in our universe:
* One bit associated with a Planck-area element of a horizon — quantum of information.
* One Planck area — quantum of information-bearing surface.
* One quantum of action (h) — minimum physical event/update.
* One irreversible bit erasure (Landauer limit) — minimum entropy increment.
* Maximum entropy increase per time step — closest analogue to Bitcoin’s 1 MB/block.
?

2026-06-25 15:56:15 UTC

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@npub1838…aslh I’m testing different ideas for post BIP-110. Looking what is best discussion start
What better resonates with you and physics?
* 1MB block should be hard constraint, same as 21M
* Abolish discounts and return to pre SegWit
* review Bitcoin through thermodynamic lens
I know you are starting with 3rd point as most grounded in physics. I wonder what is best message for everyone else. I assume “no discounts” is a good one building on top of BIP-110. 1MB is what Satoshi said, maybe it’s even stronger message so that we don’t why we are here in a first place.

2026-06-22 22:05:09 UTC

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Please don’t automatically call other people retards 😅 You guys are talking about two different things in my opinion and you are both right in a sense. I’m just thinking how to reconcile the two.

2026-06-22 18:26:45 UTC

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Food for thought

2026-06-22 08:22:00 UTC

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@nprofile…u9nm could you please have a look

2026-06-22 08:14:38 UTC

SegWit allowed to apply 22 tons of mass equivalent over Bitcoin chain.
https://blossom.primal.net/78d9e88a1c1ba968ae13c5aaf784a8d3b1a8773ff27991c0af8c984a03dee9ba.png
Read: https://artel21.vercel.app/the-075-mb-gap.html
@nprofile…dprn @nprofile…qxj6 @nprofile…0udj @nprofile…80f5 @nprofile…hmmc
#bitcoin #segwit #physics

2026-06-22 07:48:25 UTC

The problem with SegWit is 0.75 MB Gap.
Effect is the effect. Write a 1 MB inscription, pay for 0.25 MB, externalize the difference to every node on Earth, forever.
You can clearly see the effect of this on the graph. More bytes per satoshi committed since 2017.
https://blossom.primal.net/e6565ef3020a2d48d06bfbe56fce15418ffe30f71673dd14f7bc98e100ce3e56.png
Read: https://artel21.vercel.app/the-075-mb-gap.html
"The gap. The writer paid for 0.25 MB. The network stored 1.00 MB. The 0.75 MB in between is uncompensated. It is not paid for by the writer's fee. It is not paid for by the miner's revenue. It is not priced anywhere in the consensus rules, the fee market, the wallet UI, or the block explorer. It is paid for, in storage and bandwidth and validation cost, by every full node operator who has ever run Bitcoin Core, present and future, in perpetuity."
@nprofile…dprn @nprofile…hmmc @nprofile…a6u7 @nprofile…y4hy
#bitcoin #bip110 #segwit

2026-06-21 21:38:29 UTC

Mempool report on "OP_RETURN Report" is bullshit trying to make it look normal Runes and Bitcoin Core 30.
#bitcoin #bip110
@npub1x9q…csg7 @npub1cjw…j2rh
https://research.mempool.space/opreturn-report/

2026-06-20 14:01:10 UTC

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Always good to be thoughtful

2026-06-20 11:11:21 UTC

Great point!
#nevent1q…zvfv

2026-06-20 11:10:39 UTC

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We are not toxic though

2026-06-20 11:03:55 UTC

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I know, agree it’s good for short term.
We’d like to propose mass-value bound as long term solution, see https://artel21.vercel.app/mass-value-bound.html

2026-06-20 10:24:49 UTC

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We are Bitcoin. It’s up to us to decide what happens next

2026-06-20 10:20:28 UTC

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It’s simple really. If we talk in fiat terms we are off road

2026-06-20 10:16:40 UTC

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No, one of the group is shit/suit coiners. Remember, you can’t double spend

2026-06-20 10:15:18 UTC

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We need mass value bound on blocks to have fair value for bytes stored. Segwit broke contract, inscriptions made it worse. We need a new consensus to bind Bitcoin interior and exterior

2026-06-20 10:07:22 UTC

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It’s Landauer Attach orchestrated by Core on Bitcoin. We need harder protection than BIP-110, take a look at our research

2026-06-19 21:32:17 UTC

As an amusing thought experiment, imagine that Bitcoin is successful and
becomes the dominant payment system in use throughout the world. Then the
total value of the currency should be equal to the total value of all
the wealth in the world. Current estimates of total worldwide household
wealth that I have found range from $100 trillion to $300 trillion. With
20 million coins, that gives each coin a value of about $10 million.
So the possibility of generating coins today with a few cents of compute
time may be quite a good bet, with a payoff of something like 100 million
to 1! Even if the odds of Bitcoin succeeding to this degree are slim,
are they really 100 million to one against? Something to think about...
Hal
https://satoshi.nakamotoinstitute.org/emails/bitcoin-list/threads/4/

2026-06-19 21:29:19 UTC

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@nprofile…g0wv @nprofile…kzhp would be good to have your insight

2026-06-19 21:26:01 UTC

"I love the idea of virtual, non-geographic communities experimenting
with new economic paradigms."
Satoshi
#nostr

2026-06-19 21:24:05 UTC

Another factor that would mitigate spam if POW tokens have value:
there would be a profit motive for people to set up massive
quantities of fake e-mail accounts to harvest POW tokens from
spam. They'd essentially be reverse-spamming the spammers with
automated mailboxes that collect their POW and don't read the
message. The ratio of fake mailboxes to real people could become
too high for spam to be cost effective.
The process has the potential to establish the POW token's value
in the first place, since spammers that don't have a botnet could
buy tokens from harvesters. While the buying back would
temporarily let more spam through, it would only hasten the
self-defeating cycle leading to too many harvesters exploiting the
spammers.
Interestingly, one of the e-gold systems already has a form of
spam called "dusting". Spammers send a tiny amount of gold dust
in order to put a spam message in the transaction's comment field.
If the system let users configure the minimum payment they're
willing to receive, or at least the minimum that can have a
message with it, users could set how much they're willing to get
paid to receive spam.
Satoshi Nakamoto
https://satoshi.nakamotoinstitute.org/emails/cryptography/18/

2026-06-19 19:43:02 UTC

@nprofile…qxj6 @nprofile…dprn @nprofile…v2lt @nprofile…y4k2 @nprofile…7y8r @nprofile…fkft
We need to go beyond BIP-110.
We need The Mass-Value Bound on Bitcoin.
The M-Bound: every byte of a block must be backed by 100 satoshis of inscribed value. One new consensus rule — M(t) = τ_t / W_t ≤ 0.01 — prices memory against value, auto-tightens as subsidy halves, and makes the Landauer attack economically non-viable.
Please have a read on:
https://artel21.vercel.app/mass-value-bound.html

2026-06-19 19:12:09 UTC

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Good take!
#nevent1q…trt5

2026-06-19 19:09:10 UTC

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@nprofile…fd7j @nprofile…fkft @nprofile…7y8r please take a look at our article on BIP-110 and Landauer Attack. We need more to address spam and non-monetary data once and for all.

2026-06-19 19:05:21 UTC

The Landauer Attack on Bitcoin
"The cost of not erasing a bit is the same shape as the cost of erasing it — it must be paid by someone."
Why BIP-110 is not enough?
Read on: https://artel21.vercel.app/landauer-attack.html
@nprofile…y4k2 @nprofile…qxj6
#bitcoin #bip110
https://blossom.primal.net/f2ec9e56f157752108fac88c400230cff5d92868b520be352b8106801d650bc1.png

2026-06-19 18:18:32 UTC

Let's start measuring things in Joules.
Every produce or service can calculate (or at least estimate) how much energy they spent.
Then you can exchange it for satoshis which are backed by the same Joules.
Act of pricing becomes how much premium you assign to products.
https://artel21.vercel.app/bitcoin-economics.html
#bitcoin
https://blossom.primal.net/d286dcb9203e4c57e945368a262f5d0950e5f5c7a8fac1ae7ddd63608c557ab3.png
https://blossom.primal.net/64c9eae3154e62aa5ca88cc989b44c4b119c3aeaf29eb4d82e7bb2f85f2969c1.png

2026-06-19 16:20:40 UTC

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Not wasted but consumed and transformed.

2026-06-19 07:35:39 UTC

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Guys come talk physics!

2026-06-19 07:35:06 UTC

So interesting to see proof-of-work and privacy cyperpunks turn away from Bitcoin.
Bitcoin is an ego-test not IQ-test.

2026-06-19 07:33:30 UTC

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Proof of work!

2026-06-19 07:31:07 UTC

Experimental energy exchange metric on Bitcoin.
As we know Bitcoin mining consumes a lot of this energy but it's not wasted. It can be used see how such energy translates into Bitcoin.
Logic as follows: if you exchange energy for Bitcoin at block height X and then exchange Bitcoin back for energy at block height Y then Energy Y - Energy X > 0.
As you can see on the graph first two epochs had energy dropping because supply was expanding rapidly. Upward trend locked in in 3rd epoch.
Key insights:
* latest blocks represent 1500 barrel of oil equivalents
* 1 BTC = 17.58 barrel of oil equivalent
* Joules per BTC keep climbing last 500k blocks
@nprofile…w2ua
#bitcoin #energy #deflation
https://blossom.primal.net/d5e7f0fc15d07f1394d2e8b830d9c6cc3a48fd4fc914bc66f8075290cb7b3857.png
https://blossom.primal.net/d652bd42c89bb81484d3ad3323740ff4cb5c524924ea632ada636ea683e806a9.png

2026-06-19 07:15:25 UTC

Finished running full chain analysis using @nprofile…qxj6 equations. Stopped at 954363 blocks today.
Key observations:
* Block energy, block temperature, nonce temperature keep dropping, especially when halving comes
* Cumulative nonce temp reached 0.042264034513686446 normalized
* Cumulative block energy reached1833822157.8938866 joules
* Fastest increase of cumulative happened in first1000 blocks reaching >99% of latest values, first 10k blocks amounted for >99.9%
* Theory works in calculations
@nprofile…dprn @nprofile…v2lt @nprofile…a6u7
#bitcoin #quantum
https://blossom.primal.net/35600f370007c6e37f4a91e73849ae78a0610d1a909be365546c723af1a23dc0.png
https://blossom.primal.net/42626131d709446d46146c2a49788ca1155d07acc6a87700af0bbe2d84a7b8d0.png

2026-06-18 08:08:03 UTC

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Time!

2026-06-17 21:31:34 UTC

@npub1rxy…hnp8 @npub1cj8…rz4u @npub1guh…6hjy will appreciate you taking a look at the Bitcoin Energy research we’ve done.

2026-06-17 21:22:52 UTC

Take a look at our work on describing Bitcoin as thermodynamically sound system.
#bitcoin #nostr

2026-06-17 17:57:59 UTC

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Thanks for the insight. Will have to find a way to include that

2026-06-17 17:26:20 UTC

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Actually I think my definition is wrong.
I wanted to quantify how much joules were converted to satoshis.
It sounds like “permanently sunk” can be misleading. It’s more like how much joules you’ve “exchanged” for satoshis. Given that Bitcoin is thermodynamically sound and Kelvin is pegged it allows us to use it as exchange method.
I’d like compare energy equivalents of oil, bitcoin and electricity. I start by saying that the true price of Bitcoin can only be measured in joules. This is what I try to quantify - how much joules were exchanged for Bitcoin at any given block.
Chart should up into the right. It should align with Jeff Booth definition of deflation. Prices in Bitcoin go down (or at least stay the same if there’s no mining and we all use lightning) because more and more joules exchanged for Bitcoin.
I’m also sick of fiat price definitions, comparing to gold and power law as it only describes social side but not physics.
Let me know if I have any missing pieces in my thought process.

2026-06-17 10:17:43 UTC

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Incredible!

2026-06-17 10:17:25 UTC

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We will soon find out. Eternal energy storage powering civilisation at the very least. Maybe more

2026-06-17 10:12:58 UTC

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You speak like you already see what I can’t see just yet!

2026-06-17 09:11:01 UTC

Processed 651k blocks.
Cumulative energy and nonce temp stays locked in since early blocks.
@nprofile…qxj6 @nprofile…dprn
https://blossom.primal.net/485c4509f41f541a35fa366ff025274cf614f4b297484633cf2c30d2a2bc499f.png
https://blossom.primal.net/427212854baad914f9e68ae5ce29219341b79e791cd5f2c1af4af01407cf4fd0.png
Also started looking at how much energy permanently sunk into Bitcoin (excluding dissipated heat).
It would be nice to review methodology and equations but we could be be talking Terra Joules and Barrel of Oil Equivalents after block 640000.
Keen to hear feedback on this.
https://blossom.primal.net/f87ecba31b5bca84209b5264cefa0976ee1a509d56c7157a80b8325f99c06980.png
https://blossom.primal.net/4c89280e1cfb626e110dee0f695d43ef8f58c2b421d41375d0434a7e66275e3d.png
https://blossom.primal.net/7dbba2ffa90465b0175c43b66d643a8ed179c9b70cd054c42eb18b7d686099fe.png
Latest data on https://artel21.vercel.app/bitcoin-energy.html
#bitcoin #physics #economics

2026-06-17 08:45:08 UTC

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Sure, appreciate it! Emailed you on Bitcoin Lens email. If you can see it feel free to reply and we will take it from there.

2026-06-16 16:57:43 UTC

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i'll appreciate your help looking at the equations we run over Bitcoin chain

2026-06-16 16:57:04 UTC

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thanks! not arguing with this either and supporting you.
@nprofile…qxj6 talks about miners creating Bitcoin block time which is irreversible.

2026-06-16 16:47:13 UTC

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appreciate your comment, this take is not about spam but quite the opposite, inscribing only what matters

2026-06-16 16:45:30 UTC

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It is crazy indeed! Make me wonder if we are the first civilisation who's done that or there's more. I see your point that fee market can push it but I guess we will see.

2026-06-16 08:18:19 UTC

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I appreciate your comment. Are you talking about bip110? If so I agree with you, the book talks about something else though.

2026-06-15 21:40:53 UTC

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Check out our latest analysis

2026-06-15 21:27:42 UTC

Finished reading @nprofile…qxj6 !
A few reflections:
* Bitcoin defies modern definitions of Quantum Computing
* Need to revisit if we need any Bitcoin upgrades other than upgrading our understanding of Bitcoin
* Felt like creators / authors / gods of this universe spoke to me
#bitcoin #physics

2026-06-15 21:19:42 UTC

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@nprofile…dprn
Nice, I'm processing rest of chain but it'll take a day or two to complete.
Talking to LLM it says that 0.042264 is now a limit because of monotone convergence of cumulative nonce temperature so it's never overshoot. Is this your expectation as well?
Couple of questions about cumulative nonce temperature then:
* Is it irrational number from Bitcoin perspective since it's always evolving as blocktime goes by?
* Is it a constant from Bitcoin perspective? Like it has same status as π or e?

2026-06-15 19:32:44 UTC

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Great thing is that we can help changing it! Read @nprofile…qxj6

2026-06-15 19:24:19 UTC

"So, the conclusion is not that Bitcoin changes economics, nor even that it changes physics, but that it
changes us. It forces us to confront permanence, responsibility, and truth in the same act. It gives us a
medium where nothing is forgotten and nothing can be revised. In such a world, the question is no longer
“What is Bitcoin?” but “What are we prepared to inscribe?” For in the end, the ledger will preserve
whatever we choose. And we will live inside that memory forever."
- @nprofile…qxj6
It make me think hard about BIP-110.
#bip110

2026-06-15 19:21:41 UTC

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Almost a year ago! Crazy!

2026-06-15 19:20:36 UTC

"If there is a frequency to Bitcoin, it is this: a quiet insistence that truth must be purchased, that time must
be earned, that reality must be conserved. We can tune to that frequency or ignore it, but the chain will
not bend to accommodate us. The ledger grows whether we understand it or not. Its permanence does
not require our permission; only our witness."
- @nprofile…qxj6
#bitcoin

2026-06-15 12:33:57 UTC

Re-calculated @nprofile…qxj6 equations over 441k blocks.
Thanks @nprofile…dprn for providing feedback and guidance! .I wouldn't be able to make it without you. Curious to hear your view on results for cumulative block energy and block temperature. Keen to run it on a full chain if 441k results look promising.
@nprofile…v2lt @nprofile…a6u7 your feedback will be appreciated as well!
Here's the results:
https://artel21.vercel.app/bitcoin-energy.html
https://blossom.primal.net/192387b2b257989891688f3cc7cbd01d499b03880135474fd46040d406c56da9.png
https://blossom.primal.net/97bb50ab52b9b94ba0a9e6dc88b7767995ad27753a19e4e8b088444af58d9230.png
https://blossom.primal.net/81a3f8e1296e2ef148ab77c733b42417b09120a8417952b306a43fb5ec6e20f6.png
#bitcoin #thermodynamics

2026-06-14 23:38:38 UTC

Lesson of the day: Bitcoin UTXO has 3 dimensions: private key, block height, memory in the block

2026-06-14 10:07:21 UTC

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@npub1838…aslh did you comment on the note? If so I cant see it for some reason. Only see reaction

2026-06-13 08:01:03 UTC

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Is the entanglment to do with tx in and out? And also polarity?

2026-06-13 05:44:20 UTC

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New website links and Bitcoin Thermodynamic equations fixes here.
#bitcoin #physics
#nevent1q…w8yj

2026-06-13 05:43:25 UTC

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Applied your feedback! LLM confirmed they match the paper.
Also had to change domain to https://artel21.vercel.app/bitcoin-energy.html as the last one run out of credits.
It looks my previous vibe-coded physics were biased to external definition of energy and how minining blocks related to energy use in this world.
So the graphs look like this now.
Total Energy seems to approach 1.8e+9 Joules.
Cummulative Nonce Temperature seem to approach 0.042 normalised.
Does it better describe inside of the Bitcoin Universe in your view?
Some questions I need to clarify for myself.
I wonder if my previous Block Energy and Nonce Temperature calculations were essentially a ratio between how much energy from our universe was conserved inside Bitcoin? Is it "Black Hole" effect like we irreversible send our energy to Bitcoin yet we still can manipulate it since all bitcoin energy is relative to inside of that universe?
I wonder what's your read on this. Especially with relation to what my previous equations were showing vs now.
https://blossom.primal.net/75412148680ff2db57ae1d3e2c298e1b6683c94287e9c6003608d5bd5206b4c3.png
https://blossom.primal.net/b12af690046c478b3e62151ecad62f7fa80a0ec90ba4457f71199bf482129ec4.png
https://blossom.primal.net/afda0a36157f208629e9670a3d478030fb47971c08363e10e3f6eb504fd36a0c.png
https://blossom.primal.net/aadf0977d606e4b23ad71aa63572239573e31dffd42e016e28d70b1d6a2a3016.png
https://blossom.primal.net/98cf50c008055eb6c22ecac39caea4a565877658a58ecc7c6c238a61986e4902.png

2026-06-13 02:45:36 UTC

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Cool, will fix it!

2026-06-13 02:41:18 UTC

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I’m starting to better understand what you are saying here. Still want to clarify how do people feel or perceive such gravity? I’m not sure where or when Bitcoin work is conserved. Is it informational gravity? Physical gravity? Sorry, need to read more of your book but wonder if you can clarify your post for me 🕵️‍♂️

2026-06-13 02:36:08 UTC

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Something I’ve been thinking about. How coinjoin looks in this universe.

2026-06-12 23:02:41 UTC

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It’s probably physics that protects us. Will be interesting to see your take on our recent work on Bitcoin Thermodynamics!

2026-06-12 23:01:15 UTC

My entire feed now is @npub1838…aslh talking about Bitcoin Thermodynamics and Timespace study 🟠
#nostr #physics

2026-06-12 22:10:39 UTC

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This 👇
Every time I read another post from @nprofile…dprn it starts to crystalise.
@nprofile…rakr can you share this with Melvin Vopson?
#nevent1q…dhap

2026-06-12 19:57:07 UTC

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@nprofile…dprn you need to review https://gitlab.com/artel211/artel/-/blob/main/fetch_bitcoin_chain_raw.py
It contains canonical formulas which are applied over block data.
I've updated README file to provide you with extra instructions on how the script is structured. Have a look at:
https://gitlab.com/artel211/artel/-/blob/main/README.md?ref_type=heads#thermodynamic-equations

2026-06-12 17:34:25 UTC

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Yes, it's on gitlab https://gitlab.com/artel211/artel
It should be public but ideally you need to create Gitlab account so you comment and contribute!

2026-06-12 17:32:23 UTC

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@nprofile…dprn let me help you.
1 - First you'd need to create Gitlab account on https://about.gitlab.com/ which is free.
2 - Navigate to https://gitlab.com/artel211/artel/-/work_items where you can create new issues clicking "New Item" in the top right corner
3 - You can describe free form concerns and also you can mentioned specific code lines by clicking them in repo, e.g. https://gitlab.com/artel211/artel/-/blob/main/fetch_bitcoin_chain_raw.py?ref_type=heads#L32
Have a first pass at raising issues there. You can always just tag me here as I'm monitoring your comments.
This is exciting! Will be happy to address issues!

2026-06-12 10:14:48 UTC

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Nice! Have fun! Will be great to see you tomorrow!

2026-06-12 10:08:51 UTC

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@nprofile…a6u7 @nprofile…w2ua @nprofile…tf6v @nprofile…yza6 @nprofile…cd8v @nprofile…5gu2 @nprofile…u7e3 @nprofile…8m4j @nprofile…npw8
Your feedback will be appreciated!

2026-06-12 10:06:47 UTC

Welcome to Bitcoin Thermodynamics!
We've put together equations and graphs from @nprofile…qxj6 by @nprofile…dprn and @nprofile…v2lt which can help us studying what Bitcoin is. Is it Energy? Is it Time? Is it Universe?
Please take a look at https://artel21.netlify.app/bitcoin-energy
https://blossom.primal.net/432d54f8a5df71899a4c2080e87608500ad60420700667c014bacd7ba0fae466.png
https://blossom.primal.net/536a9145ad05fe01b746b6c429cf63ba77ddba4de7bfa6b5471de74af800231d.png
https://blossom.primal.net/5b5fd37ed443881f18f42bc223b37567595e5ae8a164ba7101f275128f6c57eb.png
There are different data sets to try. Try different scales and normalisations too. Let us know if your ideas of equations to add and your theories.
#bitcoin #nostr #physics

2026-06-12 09:59:10 UTC

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Sounds good.
I start to think:
* Cummulative Nonce Temp - useful for us as to analyse trends in Bitcoin Universe from outside. Since the number of possible blocks is unbounded anything we cumulate would only reveal "macro" trends from our POV
* Block Temperature and Nonce Temperature trend to 0 but I can't tell what happens after end of subsidy. Subsidy kind of reminds me of rapid expansion of our universe. As you mention in the paper it's better to study Bitcoin for what it is but I can't escape questions about our universe.
Let me know what equations would like me to test. I don't have a good sense of what direction can reveal more insights. Needs finish reading full paper first probably.

2026-06-11 18:34:39 UTC

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Hi Jack,
My physics is no bueno, lol.
Nonce cummulative temperature looks unbound but are missing boundary?
Been looking for the right denominator but I'm not really fluent so I'm not sure what I'm calculating here.
As a idea I've added Nonce Temperature (Gibbs Ensemble) graph which is cumulative is entropy-weighted per statistical mechanics. It trends down to 0 but not to 1, still good cause it has shape of nonce temperature.
I've started documenting open questions here:
https://gitlab.com/artel211/artel/-/blob/main/QUESTIONS.md
Here's LLM questions to you:
1. What is the Planck budget for cumulative nonce temperature?
Is it a total entropy capacity?
A total temperature budget?
A total "thermodynamic participation" budget?
What's the denominator that makes the numerator converge to 1?
2. How is the Planck budget formulated in equations?
The paper bounds per-block T/T_Planck ∈ (0,1]
But what bounds the cumulative sum?
Is there a formula like: cumulative = actual / theoretical_max?
3. Should cumulative temperature be a weighted average or a bounded sum?
Gibbs ensemble average: Σ(T × H) / Σ(H) → converges downward
Bounded sum: Σ(T × weight) / max_budget → converges upward to 1?
What weight/budget makes this work?
4. What physical quantity does the cumulative nonce temperature represent?
Is it "fraction of Planck budget consumed"?
Is it "fraction of total entropy capacity filled"?
Is it "fraction of thermodynamic history completed"?
5. Is there a different formula in the paper that we're missing?
We've tried: Σ(T × pBlock), Σ(T × subsidy), Σ(T × shannon), Σ(T²)/Σ(T)
None converge to 1
What's the correct weighting/normalization?
The data shows:
Metric Value at block 231k Behavior
Raw sum Σ(T_nonce) 3.18 Diverges (exceeds Planck budget of 1)
Gibbs average Σ(T×H)/Σ(H) 0.00118 Bounded but doesn't approach 1
We need the formula that makes cumulative converge to 1. What's the denominator?
https://blossom.primal.net/376fa5b803cbe6ac39332273ef1238cc1d22c8bcd41472aeb3fde4fafa105c00.png
https://blossom.primal.net/0f433477c299dbe856821a60ab066b8efb3af661f2b8d39795ba73c3d817633b.png

2026-06-11 16:59:21 UTC

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@nprofile…dprn
LLM asking:
"
Question for Jack/Nick:
The nonce temperature formula T_nonce = Shannon/Boltzmann produces cumulative sums that exceed 1 — at block 231k, Σ T_nonce = 3.18, meaning Bitcoin would have consumed 318% of the Planck budget.
The postulate states Σ T_nonce < 1 (bounded by T_Planck), but the formula diverges.
Three possibilities:
Formula needs revision — add a convergence factor so the sum stays bounded
Postulate is aspirational — cumulative Kelvin can exceed T_Planck
Different interpretation — T_nonce isn't a bounded fraction of T_Planck
Which is correct?
"

2026-06-11 14:24:02 UTC

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This makes sense, though to me logically cumulative nonce would be constrained to 21M only if nonce temperature goes to 0? I need to check equations if I made a mistake. Can you point me to a page where this is described? So I can run it by LLM.
“Mempool sampled at 100 rate” it’s just my analysis to take each 100th block from mempool.space API and try your equations. It’s more like quick test before I start running against entire chain. Though cummulative calculations requires full chain but takes longer hency why I was able to process 231k blocks so far but it already gives a good indication if it’s worth continuing. Essentially it’s just a simple optimisation. Once we have all equations coded correctly I’d like to run it against entire chain.

2026-06-11 13:32:25 UTC

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All good, this weekend is busy on our end too! Happy anniversary!

2026-06-11 08:58:33 UTC

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@nprofile…dprn @nprofile…v2lt
Added 210k and 231k so we can better see first halving in granular data.
Also added download button if people would like to see calculated numbers.
Now Block Energy and Temperature and Nonce temp show halving better.
Interestingly it takes for Block energy to pick with via difficulty adjustments while temperature for Block and Nonce drops to a new level.
https://blossom.primal.net/885a66567cbc9785c256fd1ca740e12cec73462fad272a5b36c6cb22f51d4516.png
https://blossom.primal.net/db6025c235810474a8666b35e23937d1026ccb2cca0ed3ed7ab783eea646153a.png

2026-06-11 07:42:01 UTC

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Thanks! I've added Genesis block, it's helped with Nonce Temperature calculation.
I've added more granular datasets:
* Mempool sampled at 100 rate - good overall picture but doesn't work for cummulative
* Raw blockchain capped at 100k block - per-block granularity but not yet whole chain
Will look into expanding this.
Couple of insights for me looking at 100k dataset:
* Block energy is correlated to difficulty adjustment
* Nonce temperature decreases over blocktime
* Cummulative nonce looks like power law
@nprofile…dprn I'm not used to reading physics charts and roughly understand what kinds. Curios to hear your read on this and if you have any other insights or suggestions.
https://blossom.primal.net/4d324a8447b277c8f7be7b6dd206b0358a8490f61443c42fd452b5fe338f85d5.png
https://blossom.primal.net/64b2497bbd0f70e5071849dbad0be5ab49c6e716a667ef025fdcafb6c960b17c.png
https://blossom.primal.net/306b625844d8cf7e97518390546d83415d17ca6e0583accc2bb1f1a2bc05c1af.png
https://blossom.primal.net/21b6d7555c0d98c7802b4e7228a75639834e73e3e5a8c79eb37aaaeec4248d32.png

2026-06-10 22:01:26 UTC

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@nprofile…zj6n here's the updated version.
Added crosshair + tooltip so you can values on each block.
Also added temperature normalisation so we can see Kelvins and Satoshis.
Worth reviewing the code bu my LLM was able to take your peer review as an input so keep it coming!
Are we looking at what Big Bang looks like from parent universe?
Curios to see what you make of it.
What else would you like to see?
https://blossom.primal.net/0b8e95b3ec0734aed8fe5b84b4685deb1d6410095c777ada6ba96332fe399122.png
https://blossom.primal.net/1d1ecbc895fc0370ef65a326d7e866f650f26a8e92f94edcc7ca0f162e6c18f0.png
https://blossom.primal.net/da450ce96fc41d1f60992778cf628089ac463c20861e57c6fb741f40be5f5806.png

2026-06-10 18:00:12 UTC

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Updated block temperature so now it looks like this in lin/log:
https://blossom.primal.net/6eadfc723b28f317b839a9f572d85691564407aab403e6fe79aedaaf77c69525.png
https://artel21.netlify.app/bitcoin-energy

2026-06-10 14:14:41 UTC

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Awesome! Let me review block temperature equations. I’m still on a page 43 of Bitcoin Lens so can easily miss something. Should be fixable with LLMs help. Is the nonce temperature looks reasonable?
Sure, happy to have a chat!

2026-06-10 09:09:41 UTC

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Check the latest graphs we've added: https://artel21.netlify.app/bitcoin-energy
It's sampled mempool.space data at 1000 block resolution.
Something is coming together!
https://blossom.primal.net/e34918ed46d229c71ef23d00d12c5c6e3f26b3108e333541fa20a7293b4b8339.png https://blossom.primal.net/8361f96615a3d04ae6a3588687deca4e3365be7f78a2aa3317ad49b534d0a346.png
https://blossom.primal.net/54f914cc6c45f74f2a20e51aa6435d20c1bed01997852b46501688a7a035d7e6.png
https://blossom.primal.net/f74055aa8e22c80f178d65207f39f3ef9a43d1c345e3bc30874b366e50613767.png
https://blossom.primal.net/dc78529078026d4bb813bed6acfc05f91a3344914b6976c8876a0ad7c3c824b5.png
https://blossom.primal.net/5a0a9966e8b95b2ecff2eab50864e222c26aa3b9fc0d656e001b968641b203cc.png

2026-06-10 00:05:19 UTC

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Cool, will try processing whole blockchain soon. Right now it’s only 21 blocks so hopefully full blockchain will tell a better story!

2026-06-09 23:04:41 UTC

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Hi @nprofile…dprn
Could you review https://artel21.netlify.app/bitcoin-energy ?
Trying to visualise the equations you've developed.
What is best to focus on? What do you actually want to see?
Still processing what is most useful so your guidance will be appreciated.
Here's codebase to review https://gitlab.com/artel211/artel/-/blob/main/bitcoin-energy.html?ref_type=heads

2026-06-09 22:06:55 UTC

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This would be fun to watch!

2026-06-08 19:01:27 UTC

Zap and be zapped!