Damus
Artel 21 · 5d
We've been running equations from the book against Bitcoin block chain. Here's an older but still working version showing how thermodynamic equations work when applied to satoshis: https://artel21.ver...
otaliptus profile picture
in the website it says

"Each block's coinbase selects a subset of this space, creating a measurable quantity of Shannon information: H = −p_block · ln(p_block)"

assuming it's binary why do you ignore (1-p) here (and the rest)?

Shouldn't it be −p_block lnp_block − (1−p_block )ln(1−p_block)

I see a couple more stuff like these
3
Jack K · 3d
Hmm, have I made a mistake? I think the direction of the equations needs fully explain a complete block header and all components thru then lens of energy, memory (information), entropy, time, logic. There’s more work to be done lads 🫡
Jack K · 3d
Hmm, have I made a mistake? I was trying to quantify the entropy of the block via the configuration of finite bits( Satoshis) of value in a finite memory timespace. How do we quantify the Shannon entropy of a block? I think the direction of the equations needs fully explain a complete block header ...
Artel 21 · 2d
The formula on the page isn't binary entropy it's this block's contribution to the total Shannon entropy of the supply distribution across the entire chain. Each block contributes −p_i·ln(p_i) to H_total = −Σ p_i·ln(p_i). The "(1-p)" counterpart lives in the other blocks' terms. But the text...