Ciro Santilli @cirosantilli 40

The orthogonal group has 2 connected components:

It is instructive to visualize how the $\pm 1$ looks like in $SO(3)$:

As a result it is isomorphic to the direct product of the special orthogonal group by the cyclic group of order 2:

A low dimensional example:because you can only do two things: to flip or not to flip the line around zero.

Note that having the determinant plus or minus 1 is not a definition: there are non-orthogonal groups with determinant plus or minus 1. This is just a property. E.g.:has determinant 1, but:so $M$ is not orthogonal.

TODO is there any good intuitive argument or proof of conservation of energy, momentum, angular momentum?

A set of axioms is consistent if they don't lead to any contradictions.

When a set of axioms is not consistent, false can be proven, and then everything is true, making the set of axioms useless.

This is a general philosophy that Ciro Santilli, and likely others, observes over and over.

Basically, continuity, or higher order conditions like differentiability seem to impose greater constraints on problems, which make them more solvable.

Some good examples of that:

TODO synonym to analog quantum computer?

It is also possible to carry out quantum computing without qubits using processes with a continuous spectrum of measurement.

As of 2020, these approaches seem less developed/promising, but who knows.

These computers can be seen as analogous to classical non-quantum analog computers.

Other Bitcon analysis:

twitter.com/cryptograffiti (marked as joined March 2014)

Bitcoin blockchain image indexer and uploader. Uses fake P2PKH address.

At some point it stopped using Bitcoin mainline and moved to Bitcoin Cash instead: www.newsbtc.com/news/bitcoin/cryptograffiti-rejects-bitcoin-core-bch-now-available-payment-method/ and therefore became useless. Existing indexes seem to have been broken as well.

Also, based on the timing of Figure "Erich Erstu", this service may be responsible for a large part of the raw JPEG images present in the blockchain from block 416527 (2016) onwards. This is also suggested by the comments at Figure "Tank Man".

A Quantitative Analysis of the Impact of Arbitrary Blockchain Content on Bitcoin gives the interesting insight that all its transactions seem to return change/fees to one or two given addresses, thus making it very easy to list all their uploads if they were consistent! So all we need are some starting points, which we have mostly due to ASCII mentions of the site on known inscriptions, all of which have a few common spent addresses at the very end:so we just have to solve get all Bitcoin transactions from and to a given address and we are done. Blockchair shows about 800 entries as of February 2024, between 4f94f97eb156b8563a213bb292314a0bd9c95b39afc521fc5965d050daab2a78 (2014-03-02) and ac5f4ea03597b43a72fb8ab42bd5384629f87f4f4abc534f38b8c15148ccaf9f (2017-10-12): blockchair.com/bitcoin/outputs?s=time(desc)&q=recipient(1MVpQJA7FtcDrwKC6zATkZvZcxqma4JixS)

Other related transactions:

TODO understand what these are:

These were ordinals that were only indexed in later versions of the script. So to prevent changing the useless indices of existing ordinals, they gave them negative numbers.

The word "cursed" is a meme from the 2010/20s, e.g. knowyourmeme.com/memes/cursed-images--2.

Some examples:

Bibliography:

Transactions such as tx fe37c7eee73be5fda91068dbe0eb74a68495a3fc7185712b8417032db7fc9c5e (2015-01-15) starting withare Base64 encoded. Running them through base64 -d leads to starting output bytes Salted__ which as mentioned at security.stackexchange.com/questions/124312/decrypting-binary-code-from-a-base64-string is OpenSSL encrypted data. So hwerever we see the start:we might as well give up. That string appears 26 times in our data currently, between 6c091e6152b83ec0df8d0d87c7c5f3da72a3328ed3a5d91768ba0ab899c16b9d (2014-09-28) and 84189c82995db355e92e37f8cfe8a9274e9a5d157f1f1658067672e707469a09 (2019-07-06)

The following via cryptograffiti.info get marked by file as "openssl enc'd data with salted password, Base64 encoded":

blockchain.news/news/mysterious-bitcoin-inscriptions-a-puzzle-in-raw-binary-data mentions a huge 9 MB Ordinal ruleset inscription that no-one managed to decode, and so people suspect is encrypted data. Seems to be split across transactions, starting at fed7de7fb75a3fe3c1acbbd8e19a4c540fb368474c8834e4ddb1d5bab764a767

The Horrible Horrendous Terrible Tremendous Mining Pool inscribed a few cute Coinbase messages during their operation in 2012-2013.

Many of their messages also mention SockThing, which was part of their mining infrastructure:

Starting from their very first ASCII transaction on block 197602 (2012-09-07), there is what seems to be a poem spread across several transactions. Some of the lines are repeated, presumably because they didn't update the current line to a new line and so mined the same thing multiple times:The sentences are not very coherent together, perhaps this is because lines were chosen by different miners one at a time.