-
@ 6389be64:ef439d32
2025-05-23 23:57:49
This is why I bitcoin and only bitcoin.
https://blossom.primal.net/05a7165dc9a2d9ea581354cd475d6088388cb0e41d1e475622f42825fd016a7c.png
-
@ 1ec45473:d38df139
2025-05-23 23:45:46
https://laantungir.github.io/img_repo/ebc44ad0bbd3f0ad14e05d5a68ef3889d18f7d46a3cf922bac4aad6804e44870.webp
-
@ 130da67d:a42fe9e3
2025-05-23 23:43:35
吃完一盘小龙虾，过敏嘴肿了😂 https://image.nostr.build/733395027a1bc44fe131266585cfdf524f5d349de0f0947d48636b3d8f8a30fd.jpg https://image.nostr.build/aa52d0db8aa1df757f83184eb9c970d1faae306e9141b363bdc9fffea5e2fc36.jpg https://image.nostr.build/f24afce738b20efde53d2e3eb6fce515a379bf03e88af90654fb956e394aa94c.jpg https://image.nostr.build/01d2d4af138c1ef9f178457702332cbe5f1ec58442e79884d7598664d67c2fb2.jpg
-
@ 99cefa64:8dc65b54
2025-05-23 23:38:22
That's a no from me dog
-
@ 4a27cef3:51681fe1
2025-05-24 00:09:47
He's one of those guys that i saw his face and heard two words and knew he was garbage. Think version of fat crypto boy or whatever that coke heads name is.
-
@ 269b9934:6607bb85
2025-05-23 23:26:27
I'm a traveler that isn't a digital nomad. Still haven't met another traveler that has #bitcoin. A shame. Bitcoin is made for travelers!
-
@ 63fe6318:330504ed
2025-05-23 09:52:08
I just made the zap.stream backend source available, initially i was concerned about balance management but i think it should be built correctly.
Please dont find a bug and exploit it :)
https://github.com/v0l/zap-stream-api
-
@ 1e3aa975:80324f5f
2025-05-24 00:09:47
vmess://ew0KICAidiI6ICIyIiwNCiAgInBzIjogIlVTX+WIhuS6q+aXpeiusCIsDQogICJhZGQiOiAiMTA0LjE5LjQ2LjI3IiwNCiAgInBvcnQiOiAiMjA4NiIsDQogICJpZCI6ICJlOWUzY2MxMy1kYjQ4LTRjYzEtOGMyNC03NjI2NDM5YTUzMzkiLA0KICAiYWlkIjogIjAiLA0KICAic2N5IjogImF1dG8iLA0KICAibmV0IjogIndzIiwNCiAgInR5cGUiOiAibm9uZSIsDQogICJob3N0IjogImlwMi4xNDU3MjMwLnh5eiIsDQogICJwYXRoIjogImdpdGh1Yi5jb20vQWx2aW45OTk5IiwNCiAgInRscyI6ICIiLA0KICAic25pIjogIiIsDQogICJhbHBuIjogIiINCn0=
-
@ b53e4ffd:bd826600
2025-05-24 00:06:46
是的，这种良性循环还有一个原因是货币信用稳定。
-
@ f7f4e308:b44d67f4
2025-05-24 00:06:09
妈的！这世道就是在催生更多的矛盾
-
@ 665e364f:16310af9
2025-05-23 23:11:59
Rest yourself, you are just a human and still need to sleep and dream.
-
@ 1a5cff51:01c75f78
2025-05-23 13:50:09
Woah, didn't see that level of detail on closeups coming. 😵
-
@ 6b6e19ce:8ed62d3b
2025-05-24 00:09:46
この家では私がルールだから。私が言い伝えだから。
-
@ fe3373e5:bcfbbe20
2025-05-23 12:36:09
Is this working?
https://scarce.city/auctions/the-rise-of-bitcoin-original-pencil-drawing
-
@ 815bf024:b959f699
2025-05-24 00:04:18
HAHA not funny
-
@ 1ec45473:d38df139
2025-05-23 22:31:01
Today I was listening to the history of industrial music leading up to NIN. It's like a
who's who of bands I have listened to throughout my life. Almost like I was
subconsciously following this thread of musical progression.
So weird.
-
@ 63fe6318:330504ed
2025-05-22 19:07:47
Sure
-
@ 63fe6318:330504ed
2025-05-22 16:38:33
Published v0.8.0 of zap.stream with some big changes!
## Added
- Translations added for 30 languages
- Deep linking for all zap.stream links
- Push notifications
-
@ 1a5cff51:01c75f78
2025-05-23 11:10:24
You can import a lot of models directly from HF. If that’s possible, you’ll see the ollama pull command here:
https://image.nostr.build/7f9cd684c5bfb36bd999a93d5b09988e12d36fa3b7b55f60b05f5cf0275e03e8.jpg
-
@ 6685580e:b0396513
2025-05-23 11:02:07
Did you ever figure out how to bring in models from huggingface on ollama?
There's a conversion process I never studied up on.
-
@ d2841371:02c90a2b
2025-05-23 23:59:23
God I hope Raul is rekt, but somehow I doubt it
-
@ 22050dd3:480c11ea
2025-05-23 22:24:59
Creating notes is fun
-
@ 63fe6318:330504ed
2025-05-22 16:35:22
I just made amazon.ie account yesterday
-
@ dbbd7125:07ff73f8
2025-05-23 23:51:34
好像眼睁睁看着世界这座大楼崩塌，却无处躲藏
-
@ ec9bd746:df11a9d0
2025-05-23 23:49:03
I shared a few on my profile.
-
@ cea47db6:872b1489
2025-05-23 23:43:11
Can you share some key takeaways so far?
-
@ ce6cad02:095a7dfc
2025-05-24 00:09:43
InfoWars iptv 📺 https://freespeech.akamaized.net/hls/live/2016712/live1/playlist.m3u8
-
@ 1a5cff51:01c75f78
2025-05-23 10:59:11
Completely obsessed with this chronological Lost fan edit: https://www.lostcircle815.com/
Mid-season 2 so far. Highly recommended.
#lostcircle #fanedit #lost
-
@ 013efc56:50988a78
2025-05-24 00:09:40
More of this!!!!! 🥰🥰🥰🥰🥰💕💕💕💕💕
-
@ 63fe6318:330504ed
2025-05-22 14:49:01
You can find all the endpoints in Dashboard -> Settings modal if you are live
-
@ dbbd7125:07ff73f8
2025-05-23 23:43:04
那北上深能年薪百万的也是极少数哦 那别的人杂过的？
-
@ 1a5cff51:01c75f78
2025-05-23 10:46:10
Link isn’t working for me either though. Can’t even copy/paste it if I open the full post.
-
@ 63fe6318:330504ed
2025-05-22 14:47:26
If it was obviously free then there would be even more illegal streams and probably nobody would use the paid endpoints and zap.stream would die
-
@ 63fe6318:330504ed
2025-05-22 09:11:16
Made streaming FREE on zap.stream for the basic plan, lets get more content!
rtmp://in.zap.stream/basic
-
@ cfb6da66:b9055726
2025-05-24 00:09:33
Robotattack mot Kiev – flera skadade
https://www.sydsvenskan.se/artikel/robotattack-mot-kiev-flera-skadade/
-
@ d49a9023:990fa8df
2025-05-23 22:20:29
1984 I’ve heard is pretty good. Haven’t personally tried. But they accept Monero/Bitcoin
https://1984.hosting/product/pricelist/
There’s also a Nostr user nostr:npub1y69efz664d96krj5xrhync707ythdncc8hunkvs4n7t8pm25zj2snkwae6 who does domain registration, but haven’t used them either so no idea if reputable.
-
@ 665e364f:16310af9
2025-05-23 22:16:02
And what about yours?
-
@ 1a5cff51:01c75f78
2025-05-23 10:45:25
Love your aesthetic, man!
-
@ 1ec45473:d38df139
2025-05-23 23:25:21
🤩
-
@ cfb6da66:b9055726
2025-05-24 00:09:30
Robotattack mot Kiev – flera skadade
https://www.svd.se/a/GyRR1B/robotattack-mot-kiev-explosioner
-
@ 274fe9ae:565805d2
2025-05-24 00:09:28
Consumer Stocks Have Taken It on the Chin. Buy These 8.
https://www.barrons.com/articles/consumer-stocks-bond-yields-tariffs-earnings-5ab56ada?siteid=yhoof2&yptr=yahoo
-
@ 1ec45473:d38df139
2025-05-23 21:49:09
https://laantungir.github.io/img_repo/fec0613457928631f2e3b195322f858d8e4697d1e13e8f86a2ef4a3745c825f5.webp
-
@ 63fe6318:330504ed
2025-05-22 08:53:34
Building zap.stream app! https://zap.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
-
@ cfb6da66:b9055726
2025-05-24 00:09:28
Robotattack mot Kiev – flera skadade
https://www.aftonbladet.se/nyheter/a/4BwwdE/robotattack-mot-kiev-explosioner
-
@ 1a5cff51:01c75f78
2025-05-23 10:00:22
Really happy with the results of hf.co/unsloth/INTELLECT-2-GGUF:IQ2_XXS (https://huggingface.co/unsloth/INTELLECT-2-GGUF) on my ollama host though I prefer Qwen3.
Love this approach of decentralizing AI model training. Will keep an eye on this.
nostr:nevent1qqst2lkrhtde3arf9c9hd0mq76prluze9xxy5h97t7re756zcxev45qzyq0fpraur5f3c9ag0ueqd86n7e85t36ljx30d4pl32nyzzt5mf2kyqcyqqqqqqgpz3mhxue69uhhyetvv9ujuerpd46hxtnfduujhh70
-
@ 1a5cff51:01c75f78
2025-05-23 09:46:46
GM
-
@ 9fce3aea:0f9087e6
2025-05-23 21:46:25
Maybe that’s why lol
-
@ 63fe6318:330504ed
2025-05-21 13:30:00
Even the Google docs were wrong tbh
-
@ 18f54af1:ef1402ef
2025-05-23 08:57:18
Saying “Free Palestine” does not make you a Nazi.
Standing with the people of Gaza does not mean you support terrorism.
Right now, a powerful psychological operation is being pushed by the Israeli state and its allies:
A campaign to equate anyone who opposes the genocide of Palestinians with antisemitism, Nazism, or support for Hamas.
This is not just dishonest - it’s dangerous.
At the same time, prominent Israeli politicians are openly calling for the complete erasure of the Palestinian population in Gaza.
Some have called for mass displacement, others for the killing of women and children. These are not fringe voices - these are mainstream figures in power.
In the U.S., there are elected officials of Jewish heritage - people in positions of authority - saying openly that Gaza should be nuked.
Let that sink in.
This is no longer just a threat to Palestinians.
It’s a warning to every nation and every people who dare to stand with them.
If they can justify nuclear rhetoric against Gaza, what stops them tomorrow from threatening Ireland? Or South Africa? Or Brazil? Entire nations with massive pro-Palestinian movements?
This is not about race, religion, or heritage.
This is about power, dehumanization, and the normalization of extermination.
To speak out against the horror unfolding in Gaza is not extremism.
It is to stand on the side of humanity.
It is to refuse silence in the face of ethnic cleansing.
You are not a Nazi for saying “Free Palestine.”
You are not a terrorist sympathizer for opposing genocide.
You are simply—human.
#freepalestine
-
@ 63fe6318:330504ed
2025-05-21 09:27:35
Cool, so its native dart code now and it works like NAP?
-
@ b7cfd472:bda03f5a
2025-05-24 00:09:21
We are the economy healing itself.
-
@ 9fce3aea:0f9087e6
2025-05-23 21:19:34
SO STOKED TO HEAR nostr:nprofile1qyxhwumn8ghj7mn0wvhxcmmvqyg8wumn8ghj7mn0wd68ytnvv9hxgqpq9ppwxjrqckwl4n2a7j960fjsvhn8vrggcd0h092nmq7zcgcskjfs4yl4uy LIVE FROM LONDON 🇬🇧 RIGHT NOW IN THE nostr:nprofile1qy2hwumn8ghj7etyv4hzumn0wd68ytnvv9hxgqtxwaehxw309anxjmr5v4ezumn0wd68ytnhd9hx2tmwwp6kyvtkx46kv7tgx3kxketnd3nhs7rrvdkxwwrxxp585ct6dpshwdmjwdexsanxw96hs7ndxfnxkd35vvmny6rswv6r2m3swc6n7cnjdaskgcmpwd6r6arjw4jsqgr98zf9a0akv86p3kx86p6tachg4lthsuqamzg8psk6jdk4w8j4cv6qcgkr app!
https://blossom.primal.net/9841811c7cf1bb3cbf8e650e2c4498539240d3b74246383c3e8be42680e69bef.png
-
@ a9825525:1a445af7
2025-05-23 23:24:49
GM friend
-
@ 274fe9ae:565805d2
2025-05-24 00:09:18
The CEO of MNTN got his start teaching himself how to code: He just took the company public with Ryan Reynolds
https://finance.yahoo.com/news/ceo-mntn-got-start-teaching-165613698.html
-
@ dbbd7125:07ff73f8
2025-05-23 23:24:40
所以现在已经是在倒逼改善了
-
@ 63fe6318:330504ed
2025-05-20 10:40:09
Yea maybe web only for now
-
@ e2260a7a:f97399ac
2025-05-23 21:00:20
P2P Electronic Cash Purchases 💗
Maple syrup from nostr:nprofile1qqs09d790p6zfj8eeakyfq8tn862xacvcp3n0f8s6xcsnw5yndryrycprpmhxue69uhhqun9d45h2mfwwpexjmtpdshxuet5qyt8wumn8ghj76rpwejkutnrv9k8vcfwv3jhvtcpzemhxue69uhksctkv4hzucmpd3mxztnyv4mz7hskjz8
HoldButter from nostr:nprofile1qqswp94gnm4epqsgjkndl4lnd8krzdj5u4mzuppdtxksdymkty63g7gpzamhxue69uhkv6tvw3jhytnwdaehgu3wwa5kuegpz3mhxue69uhhyetvv9ujuerpd46hxtnfduq35amnwvaz7tmjv4kxz7fwwpexjmtpdshxuet59ujnyvqtjx784
Ghee from nostr:nprofile1qqsfnnh6v3dspqtnwv3e46aed5k3nypyfx2wtet92ekg9szt3hr9k4qpzfmhxue69uhhqatjwpkx2urpvuhx2ucpzemhxue69uhhyetvv9ujuurjd9kkzmpwdejhgqffwaehxw309ahx7um5wgcnvdekxvcnjdfkxucnwvpwv9c8qtnjw4hx7mnxd36hstnfduv3xupd
https://image.nostr.build/e61f65d491b7b7a4c44f5aac40e1c3582fa8d8e7e959e149e4292f80613dac71.jpg
-
@ ed6a5780:bef8938b
2025-05-23 23:18:32
GM bro
-
@ a34b99f2:c540c5bd
2025-05-24 00:09:28
1946/898073/395127
-
@ fe3373e5:bcfbbe20
2025-05-22 17:08:21
I am auctioning off my pencil drawing 'The Rise of Bitcoin'! Bids can be placed now!
If you are interested in this drawing, which took well over 300 hours of delicate work, you can bid via the following link:
scarce.city/auctions/the-r…
I will also be exhibiting this drawing at the B25 conference in Las Vegas from May 27-29.
https://blossom.primal.net/586cd294a44879624d382fd35c25068df105343ee0d8e3ab4880af95d4f471ac.jpg
-
@ db506a89:afb18763
2025-05-24 00:09:12
🌝 is 🌕
-
@ 63fe6318:330504ed
2025-05-20 09:09:40
You mean like on zap.stream? Videos/Shorts?
-
@ af92154b:b59d671f
2025-05-24 00:09:10
Girls Gone Wild?
-
@ 63fe6318:330504ed
2025-05-19 16:10:07
No major issues so far, i can see performance maybe being an issue soon though the chat can be pretty laggy sometimes
-
@ 63fe6318:330504ed
2025-05-19 15:59:12
Published v0.7.0 of the zap.stream app
## Added
- Show "copied to clipboard" message on iOS
- Badge awards in chat feed
- Badges assigned to users in chat
- Share stream button on stream info modal
- Timeout feature, timeout viewers for x seconds
## Fixed
- Auto raid redirect loop
- Always show open in wallet button
**Full Changelog**: https://github.com/nostrlabs-io/zap-stream-flutter/compare/v0.6.0...v0.7.0
-
@ 0fb38b99:147f62bb
2025-05-23 23:00:01
1 #USD = 5.647 #BRL
Fonte: https://www.xe.com
-
@ 0e8c41eb:95ff0faa
2025-05-22 15:31:50
My node breaks and Bitcoin breaks a fiat milestone on Pizza Day, my birthday, and Swan’s birthday. Coincidence? I think not.
-
@ 274fe9ae:565805d2
2025-05-24 00:09:08
Vanguard Introduces Pair of New Muni Bond ETFs: VTEL, MUNY
https://finance.yahoo.com/news/vanguard-introduces-pair-muni-bond-173000928.html
-
@ 25de661e:b2c6ffec
2025-05-24 00:09:01
Anyone know why Bitcoin is crashing??
https://blossom.primal.net/e23018a1d34fc7689fb35badd283313ce77f7e3f80241ed27256a81f1c6cd622.jpg
-
@ 274fe9ae:565805d2
2025-05-24 00:08:58
L3Harris Technologies Stock Gets RS Rating Lift To 82
https://www.investors.com/news/l3harris-technologies-stock-gets-rs-rating-lift-to-82/?src=A00220&yptr=yahoo
-
@ 23103189:9c19e403
2025-05-23 20:51:43
That certainly wouldn’t ever happen with a ‘nostr’ company because of political pressure.
-
@ 1a5cff51:01c75f78
2025-05-22 14:33:49
Best of smirks, haha.
-
@ 460c25e6:ef85065c
2025-05-23 22:58:02
Lol. No.
-
@ f8e6c643:03328ca9
2025-05-24 00:08:46
💯 the eyes especially 😅
-
@ 63fe6318:330504ed
2025-05-19 12:00:47
Probably build something on top of owncast to publish to nostr
-
@ 0882b332:4e8011e5
2025-05-22 13:35:28
https://image.nostr.build/a23aa346234157fb5004fbcdf1be79399dfaac8db78e17739c8ddcad21886e81.gif
-
@ 1a5cff51:01c75f78
2025-05-22 13:23:53
Yeah, that message is all I got. Didn’t get restored though. The original URL was https://shininghatesyou.bandcamp.com/ and it just redirects to bandcamp.com. The other account you can find via search is an old one.
https://image.nostr.build/103d7f664b5a1ee62387d6a3e98983484218c6be84e70a342637398ad0dc89ba.jpg
-
@ 03e2e709:7b179903
2025-05-24 00:08:51
ばかな
-
@ ce6cad02:095a7dfc
2025-05-24 00:08:42
Fox news Now iptv 📺 https://fox-foxnewsnow-samsungus.amagi.tv/playlist.m3u8
-
@ 0c5fb98e:034dfe4d
2025-05-23 20:30:54
“总有人觉得指挥棒一挥，所有人都会听命行事，原地建起奇观而不付出任何代价就能大赢特赢”
-
@ 8534b22a:7ffb12c7
2025-05-23 20:23:41
🏝 New booking made for 2 nights
✔️ Standard booking
💰 ₿ooking value: 248k sats ($270)
₿itcoin accepted 🧡
Save up to 60% on your next trip
https://unstoppablehoteldeals.com/book-with-bitcoin
-
@ 8030b40c:69141e50
2025-05-23 22:50:28
Great shots!
-
@ 0882b332:4e8011e5
2025-05-22 13:14:49
The exact point of the suspension is not currently known. Or is it? The account has been restored.
Bandcamp is actually a cool platform. Listen to mosquitoes, buy music and merchandise directly and get in touch with the artists more quickly. How ever...
I am more interested in the old stuff.
Weithin deep dark chambers or Halmstad.
Check out:
#PeterBeste
#TrveNorwegianBlackMetal
https://image.nostr.build/2d42aa196bf946f4b9e902a1d634505189667ca468e4ba1d1fd094d99651f809.jpg
-
@ ac3f6afe:aa9014aa
2025-05-24 00:07:45
Monero moving 10% a day (up or down) is bad in the long-term
It's fine to be happy we got a jack up. But long-term, it makes it impossible to price anything in XMR. And if it's got fast volatility up, it can do more down later.
-
@ 1e3aa975:80324f5f
2025-05-24 00:08:40
vmess://ew0KICAidiI6ICIyIiwNCiAgInBzIjogIlVTX+WIhuS6q+aXpeiusCIsDQogICJhZGQiOiAiMTA0LjE5LjQ1LjExIiwNCiAgInBvcnQiOiAiMjA4NiIsDQogICJpZCI6ICJlOWUzY2MxMy1kYjQ4LTRjYzEtOGMyNC03NjI2NDM5YTUzMzkiLA0KICAiYWlkIjogIjAiLA0KICAic2N5IjogImF1dG8iLA0KICAibmV0IjogIndzIiwNCiAgInR5cGUiOiAibm9uZSIsDQogICJob3N0IjogImlwMTMuZnJlZWdyYWRlbHkueHl6IiwNCiAgInBhdGgiOiAiZ2l0aHViLmNvbS9BbHZpbjk5OTkiLA0KICAidGxzIjogIiIsDQogICJzbmkiOiAiIiwNCiAgImFscG4iOiAiIg0KfQ==
-
@ ed03fa54:d1c21c40
2025-05-23 22:44:22
Mas são outros domínios
-
@ f03df3d4:a4d4f676
2025-05-23 20:10:10
Block 898052
2 - high priority
2 - medium priority
2 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 63fe6318:330504ed
2025-05-18 10:38:52
What app
-
@ 1bcc51cf:b4fa6b1a
2025-05-24 00:07:40
สวัสดี #siamstr
สัญญาณ CDC Action Zone วันนี้
Buy:
Nothing
Sell:
MKRBTC
AXSBTC
ROSEBTC
1INCHBTC
GLMRBTC
HFTBTC
NFPBTC
WBTC
ZKBTC
BANANABTC
-
@ b300db32:0bf5db3a
2025-05-24 00:08:37
A relação entre a **Teoria das Categorias** e o problema da **existência de Yang–Mills e a lacuna de massa (mass gap)** é indireta, mas existe em contextos avançados de física matemática e teorias quânticas de campos (TQC). Abaixo, exploramos os pontos de contato, desafios e limitações dessa interação.
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### **PONTOS DE CONTATO PRINCIPAIS**
1. **Teorias Quânticas de Campo Topológicas (TQFTs) e Estruturas Categóricas**
- A Teoria das Categorias fornece uma linguagem unificada para descrever estruturas matemáticas em TQFTs, como funtores entre categorias de bordismos e espaços vetoriais.
- Exemplos incluem a **TQFT de Donaldson-Witten**, uma versão "torcida" da teoria de Yang–Mills em 4D, que usa invariantes topológicos relacionados a categorias de módulos e álgebras de Lie.
- Essas estruturas podem inspirar abordagens categóricas para entender propriedades não perturbativas da teoria de Yang–Mills.
2. **Dualidades e Equivalências Categóricas**
- Dualidades como **S-dualidade** (relacionando regimes forte e fraco em teorias de gauge) podem ser formalizadas como equivalências entre categorias. Por exemplo, a dualidade entre teorias de gauge e teorias de cordas em certos limites.
- A **Teoria de Categorias Superiores** (n-categorias) é usada para modelar redes de dualidades e defeitos topológicos em teorias de campos.
3. **Geometria Não Comutativa e Categorias de Fibrados**
- A teoria de Yang–Mills clássica descreve conexões em fibrados principais. A generalização para **fibrados 2-categóricos** ou **gerbes** (estruturas em categorias superiores) pode ajudar a modelar interações quânticas complexas.
- Trabalhos como os de **John Baez** e colaboradores exploram categorificações de teorias de gauge, sugerindo novas formas de entender simetrias e quantização.
4. **Invariantes de Nós e Teorias de Campo**
- Invariantes como o **polinômio de Jones** (derivado de categorias monoidais) surgem em teorias de Yang–Mills topológicas. A relação entre categorias e invariantes topológicos pode inspirar métodos para estudar a estrutura de vácuo em teorias com lacuna de massa.
5. **Programa de Geometrização de Witten**
- Edward Witten e outros físicos usaram ideias de categorias (como categorias derivadas de feixes coerentes) para conectar teorias de gauge a geometria algébrica, especialmente na conjectura de **Geometrization of Quantum Field Theory**.
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### **"SANTO GRAAL" DA ÁREA**
O objetivo principal seria **usar ferramentas categóricas para provar rigorosamente a existência da lacuna de massa em Yang–Mills 4D**, um dos sete problemas do Milênio. Isso envolveria:
- **Formular a teoria de Yang–Mills em termos categóricos**, possivelmente via TQFTs ou categorias superiores, para capturar suas propriedades não perturbativas.
- **Conectar estruturas categóricas a estimativas analíticas** (como equações diferenciais parciais ou integrais funcionais) necessárias para demonstrar a lacuna de massa.
- **Desenvolver uma "categorificação da quantização"** que preserve simetrias e controle divergências em escalas quânticas.
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### **DESCOBRIMENTOS OU INSIGHTS SIGNIFICATIVOS**
- **Teorias de Campo Topológicas Categóricas**: A TQFT de Reshetikhin-Turaev e a teoria de categorias de Khovanov forneceram invariantes de nós rigorosos, inspirando métodos para lidar com não perturbações.
- **Dualidades e Categorias de D-branas**: Na teoria das cordas, categorias derivadas de feixes são usadas para descrever D-branas, sugerindo paralelos com teorias de gauge.
- **Redução Dimensional e Categorias**: Estudos sobre compactificação de teorias 4D para 2D (via categorias de bordismos) revelaram padrões que poderiam ser adaptados à análise de lacunas de massa.
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### **LIMITAÇÕES E FRAGILIDADES**
1. **Foco Analítico vs. Algebraico**:
O problema da lacuna de massa exige técnicas de análise funcional (como controle de integrais funcionais e espectros de operadores), enquanto a Teoria das Categorias é predominantemente algebraica e estrutural. A ponte entre essas abordagens ainda é tênue.
2. **Falta de Rigor Matemático em 4D**:
Embora categorias sejam úteis em TQFTs topológicas (como em 2D ou 3D), a teoria de Yang–Mills em 4D não é topológica e envolve dinâmica não trivial. Métodos categóricos ainda não foram capazes de lidar com a complexidade analítica dessas dimensões.
3. **Generalizações sem Aplicações Concretas**:
Muitas categorificações de teorias de gauge (como 2-bundles) permanecem no reino teórico, sem conexão direta com cálculos físicos relevantes para a lacuna de massa.
4. **Dependência de Suposições Não Provadas**:
Conjecturas como a **conjectura de Geometrization de Witten** ou a relação entre categorias e a lacuna de massa ainda carecem de fundamentação matemática rigorosa.
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### **CONCLUSÃO**
A interação entre Teoria das Categorias e o problema de Yang–Mills é promissora, mas está em estágios iniciais. Enquanto categorias oferecem uma linguagem poderosa para organizar estruturas matemáticas em teorias de campos, o desafio analítico da lacuna de massa exige ferramentas que vão além da abstração categórica. O "santo graal" seria unificar essas abordagens, criando uma ponte entre a álgebra estrutural e a análise funcional — algo que, se alcançado, não apenas resolveria o problema do milênio, mas transformaria nossa compreensão de teorias quânticas de campos.
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@ f03df3d4:a4d4f676
2025-05-23 20:05:10
Block 898051
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@ 1a5cff51:01c75f78
2025-05-22 13:01:17
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@ c21b1a6c:0cd4d170
2025-05-22 13:00:32
nostr:nprofile1qqsrgyzdaheuckfksqkgxz9r6qys72zh6j46f69hyzkv4a4j4vzfj6gpzemhxue69uhhwmm59ehx7um5wgh8qctjw3uj726lzqv when nostr login?
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@ e3a59924:cd2e6624
2025-05-24 00:08:35
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@ 16854972:19596a70
2025-05-23 22:34:48
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@ c0f702c2:2a9c165a
2025-05-23 22:32:06
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@ 5391098c:74403a0e
2025-05-24 00:08:33
Aula de informática 22 (mantenha aquela pechincha da frente do computador bem carregada):
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@ a112fa0d:80a13b59
2025-05-24 00:08:33
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@ 63fe6318:330504ed
2025-05-17 16:49:27
Pixel 9 Pro
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@ 63fe6318:330504ed
2025-05-17 13:21:23
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@ 1a5cff51:01c75f78
2025-05-22 12:52:17
I play very few games. Fortunately they all work great with Proton. I wouldn’t recommend Mint myself but for people coming from Windows, it’s actually decent.
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@ 6b0a60cf:b952e7d4
2025-05-24 00:08:32
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