-
@ f03df3d4:a4d4f676
2025-05-05 18:25:18
Block 895394
4 - high priority
4 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ f03df3d4:a4d4f676
2025-05-05 18:15:18
Block 895394
3 - high priority
3 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ f03df3d4:a4d4f676
2025-05-05 18:10:18
Block 895393
4 - high priority
4 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ d3a3e712:152736e7
2025-05-05 18:04:28
The natural course of government is to make the currency worth less over time. -Warren Buffet
-
@ cbab7074:f9f0bd61
2025-05-05 18:00:18
Block 895392
5 - high priority
4 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ f03df3d4:a4d4f676
2025-05-05 18:00:18
Block 895392
5 - high priority
4 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ e7bf8dad:839ef3db
2025-05-05 17:50:18
Block 895392
4 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 8abbfe83:511434d9
2025-05-05 17:46:55
CINCO DEPORTO
https://m.primal.net/Qnxl.jpg
-
@ 240d3004:1cf86254
2025-05-05 18:27:14
Its probably a good idea to always assume transactions are reported and utilize forward privacy methods as much as possible!
-
@ df478568:2a951e67
2025-05-05 18:27:12
I heard about this on The Rising. I was suprised by how well the coverage was. They even brought up Pegasus, which is the real reason why I don't trust Signal enough for DEFCON 5 cybersecurity. I'm also not a fan of explosive pagers...For different reasons, but these things should be made by the NSA in my opinion. We cannot trust supply chains anymore.
-
@ 8abbfe83:511434d9
2025-05-05 17:46:07
https://www.instagram.com/reel/DJR6GKdJNdL/?igsh=NjZiM2M3MzIxNA==
WTPN SITUATION UPDATE 5/4/25
MASS ARRESTS APPROACHING END GAME! COMING! Stay vigilant!
TRUMP UNLEASHES 20K TROOPS AS OPERATION LIBERTY SHIELD EXPLODES WORLDWIDE-NAVY SEALS LAUNCH GLOBAL RAIDS, RESCUE THOUSANDS OF CHILDREN, AND ONGOING MILITARY TRIBUNALS INTENSIFY AS THE ELITE TRAFFICKING NETWORK COLLAPSES!
NINO & THE GHOST HIGHLIGHTS
🙏
https://rumble.com/v6sys2r-wtpn-situation-update-featuring-restored-republic-5425.html
Restored Republic via a GCR: Update as of Sun. 4 May 2025
Trump Unleashed 20,000 Troops as Operation Liberty Shield EXPLODES Worldwide – Navy SEALs Launch Global Raids, Rescue Thousands of Children, and Ongoing Military Tribunals Intensify as the Elite Trafficking Network Collapses!
Judy Note: Trump has unleased 20,000 Troops as Operation Liberty Shield EXPLODES Worldwide – Navy SEALs Launch Global Raids, Rescue Thousands of Children, and Ongoing Military Tribunals Intensify as the Elite Trafficking Network Collapses!
https://operationdisclosureofficial.com/wp-content/uploads/2025/05/Restored-Republic-via-a-GCR-5-4-2025.docx
https://m.primal.net/Qnxi.jpg
-
@ 42d23751:6cf21b89
2025-05-05 18:27:11
Here we go! 🚀
nostr:nevent1qqsqw7ggsr7rzrh8ew39nw7tc3cchkrxvs096uf02fdxpeppu8r8vkqppemhxue69uhkummn9ekx7mp0qgsd54k9fd0xwjwkttgr3svkg7reftu5una95nhacg95nxq7fmzkdscrqsqqqqqpdy7vmd
-
@ 7d4a4e87:c853bba8
2025-05-05 18:27:16
New OP_RETURN
to:USDT(TRON):TMuujpTuWRJFAYRvj1Cu6zHDmzLXWGiBBe
https://mempool.space/tx/b1f2eac7cfe1c33a32365b7582f8c98708f9902ad288267eb319ab1d435fcd43
-
@ 17538dc2:71ed77c4
2025-05-05 18:27:10
👀
-
@ e7bf8dad:839ef3db
2025-05-05 17:40:18
Block 895392
3 - high priority
3 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 7d4a4e87:c853bba8
2025-05-05 18:27:06
New OP_RETURN
from:10000USDT(TRON):TGfzyTbSXTtgeexJCr4vC3pgydD3dA4RUN
https://mempool.space/tx/9301a1373c22f67ce3efe221a43f17a8f7648fae152dd8fd30509f469e1b92e0
-
@ 5e84cd68:1f6ecba0
2025-05-05 18:27:15
今iPad2枚あるんだけど次は考えても良さそうだなーと
-
@ 9c5d0fdb:4016ece5
2025-05-05 18:24:22
Romania’s PM resigns after far right wins first round of presidential vote
https://www.aljazeera.com/news/2025/5/5/romania-pm-resigns-after-far-right-wins-first-round-of-presidential-vote?traffic_source=rss
-
@ 7d4a4e87:c853bba8
2025-05-05 18:27:03
New OP_RETURN
OUT:440413406A846032DD60D04D3999660C07FF813292EE0B6A3054C1783CE886A7
https://mempool.space/tx/a9735a10b54c950116daea02f321f60a29599191584ce699f96a9a093c09a660
-
@ 9c5d04b8:b5b2cb2c
2025-05-05 18:24:17
Navy veteran escalates defamation battle against Associated Press after local outlets pull article
https://www.foxnews.com/media/navy-veteran-escalates-defamation-battle-against-associated-press-after-local-outlets-pull-article
-
@ f03df3d4:a4d4f676
2025-05-05 17:35:18
Block 895391
4 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 7d4a4e87:c853bba8
2025-05-05 18:26:58
New OP_RETURN
eNh:to:USDT(TRON):TKST69QSkfR78Rv2rrDvkxp15N3sc7gWDu
https://mempool.space/tx/66ede84f0692fa69feb6f6d6011f4b16ac1ac77f3c91a09694fc178abe3271fc
-
@ 9c5d0714:798b2576
2025-05-05 18:23:42
Analyst Report: National Fuel Gas Co.
https://finance.yahoo.com/research/reports/ARGUS_3237_AnalystReport_1746465677000?yptr=yahoo&ncid=yahooproperties_plusresear_nm5q6ze1cei
-
@ 3fdf8b43:27eaaad8
2025-05-05 18:26:58
#Bitcoin Block Art by Blockstr!
Height: 895395
Weight: 3993928
https://thebitcoinblockclock.com/blockstr/0000000000000000000123be8b74453bad59bb2497e33d8540a6577ec1fdf83b.png
-
@ f03df3d4:a4d4f676
2025-05-05 17:30:18
Block 895391
4 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ f03df3d4:a4d4f676
2025-05-05 17:25:18
Block 895390
5 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 9c5d0714:798b2576
2025-05-05 18:23:39
Analyst Report: Quanta Services, Inc.
https://finance.yahoo.com/research/reports/ARGUS_4205_AnalystReport_1746465677000?yptr=yahoo&ncid=yahooproperties_plusresear_nm5q6ze1cei
-
@ 63fe6318:330504ed
2025-05-04 15:10:33
Its good...
-
@ 7d4a4e87:c853bba8
2025-05-05 18:27:10
New OP_RETURN
from:13.383203SOL:HgZHnX9gztwbN2A8USzjGAjEwDcdydzTP5yBYESovMoM
https://mempool.space/tx/6fb811373e83180004f5dd51e52185e2178fb75e4981301db45f70df9c08b52b
-
@ 9c5d0714:798b2576
2025-05-05 18:23:36
Analyst Report: Boeing Co.
https://finance.yahoo.com/research/reports/ARGUS_2754_AnalystReport_1746465677000?yptr=yahoo&ncid=yahooproperties_plusresear_nm5q6ze1cei
-
@ 7d4a4e87:c853bba8
2025-05-05 18:26:54
New OP_RETURN
2ne:to:BNB(BSC):0x2db087189441559dd31baa8f99d76ec94d25c76e
https://mempool.space/tx/3567b05faa2e8ae0c896701ad4d10be2c64fe77250de976a718441c9e4e69b13
-
@ f03df3d4:a4d4f676
2025-05-05 17:20:18
Block 895390
4 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ e7bf8dad:839ef3db
2025-05-05 17:20:18
Block 895390
4 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 9c5d0714:798b2576
2025-05-05 18:23:33
Analyst Report: HF Sinclair Corporation
https://finance.yahoo.com/research/reports/ARGUS_3051_AnalystReport_1746465677000?yptr=yahoo&ncid=yahooproperties_plusresear_nm5q6ze1cei
-
@ 98a7e3f6:15e18646
2025-05-05 18:27:06
Reflections on Those MSTR Bitcoin ‘Earnings’ - MSTR earnings came out May 1. My morning media stops last Thursday (here and here) asked ... - https://www.coindesk.com/opinion/2025/05/05/reflections-on-those-mstr-bitcoin-earnings #microstrategy #opinion
-
@ fdfefa96:3736b8f9
2025-05-05 18:26:52
👋 A new block was found on the #Bitcoin network. We're at block height 895395, current #bitcoin price is $94579.08 and there are 113937185190011 #sats left to mine.
-
@ 9c5d006c:e0e4eeb7
2025-05-05 18:23:32
Father of crypto-millionaire rescued after being held for ransom—and having his finger severed
https://fortune.com/crypto/2025/05/05/father-crypto-millionaire-rescued-held-ransom-finger-severed/
-
@ d9f3d628:401a9b4a
2025-05-05 18:26:52
thanks to AI i never have to write a cron or regex anymore 🥳
-
@ 9c5d0714:798b2576
2025-05-05 18:23:30
3 No-Brainer Warren Buffett Stocks to Buy Right Now
https://finance.yahoo.com/news/3-no-brainer-warren-buffett-093500218.html
-
@ e57fec0c:e3153bf8
2025-05-05 17:18:18
Ohhhh yes I can’t wait. Also planning to rent a bike and do a big ride in prague before I come to Bulgaria 🇧🇬
-
@ d9f3d628:401a9b4a
2025-05-05 18:26:51
i’m so annoyed @meetgranola has no webhook or zapier integration...
-
@ d9f3d628:401a9b4a
2025-05-05 18:26:51
man i love spain for having 2 empanadas + coffee for $5
-
@ 87730827:746b7d35
2025-05-05 17:16:28
you must be right, you should bet against it to see how it goes
-
@ 5af07946:98fca8c4
2025-05-05 18:26:51
From money you mean butcoin is currency .. not assets ..cuz assets are capital taxes !
-
@ ddf03aca:5cb3bbbe
2025-05-05 18:26:51
If you shuffle a deck of cards you will create a unique combination that has never been created before
Numbers at that scale are mind blowing 🤯
-
@ f03df3d4:a4d4f676
2025-05-05 17:15:18
Block 895390
4 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 98a7e3f6:15e18646
2025-05-05 18:27:06
BitcoinOS Completes First Bridgeless Cross-Chain BTC Transfer Between Bitcoin and Cardano - BitcoinOS reports that it has successfully executed the first-ever bridgeless cros... - https://news.bitcoin.com/bitcoinos-completes-first-bridgeless-cross-chain-btc-transfer-between-bitcoin-and-cardano/ #decentralizedfinance(defi) #bitcoin(btc) #cardano(ada) #defi
-
@ 9c5d0714:798b2576
2025-05-05 18:23:27
Analyst Report: Hess Corporation
https://finance.yahoo.com/research/reports/ARGUS_3037_AnalystReport_1746465677000?yptr=yahoo&ncid=yahooproperties_plusresear_nm5q6ze1cei
-
@ 65a80f71:afd8822a
2025-05-05 18:26:48
Great ❤️🔥⛏️🤙
-
@ 2a805b4c:8d42dcb3
2025-05-05 18:27:05
Carney Preparing for ‘Difficult’ Discussions With Trump Ahead of First Meeting
https://www.theepochtimes.com/world/carney-preparing-for-difficult-discussions-with-trump-ahead-of-first-meeting-5852638
-
@ af740d19:71caba85
2025-05-05 17:12:24
You're a minority. Good to be proven wrong.
-
@ 2a805b4c:8d42dcb3
2025-05-05 18:27:05
Trumps Plans 100 Percent Tariffs on Foreign Movies to Save US Film Industry
https://www.theepochtimes.com/epochtv/trumps-plans-100-percent-tariffs-on-foreign-movies-to-save-us-film-industry-5852635
-
@ 7d4a4e87:c853bba8
2025-05-05 18:26:50
New OP_RETURN
8Fq:to:USDT(TRON):TP79h4NgSmdKQDmKiBcvVFgUVPKz1UNy6U
https://mempool.space/tx/5173803e0aa57493511883449458e3a9b2e5e64ef90baf004d2b73e03c530370
-
@ 9c5d0095:39ebcb43
2025-05-05 18:22:07
Price predictions 5/5: SPX, DXY, BTC, ETH, XRP, BNB, SOL, DOGE, ADA, SUI
https://cointelegraph.com/news/price-predictions-5-5-spx-dxy-btc-eth-xrp-bnb-sol-doge-ada-sui?utm_source=rss_feed&utm_medium=rss&utm_campaign=rss_partner_inbound
-
@ 9c5d04b8:b5b2cb2c
2025-05-05 18:19:52
Illegal immigrant released by Biden admin pleads not guilty to murder of Georgia grandmother
https://www.foxnews.com/us/illegal-immigrant-released-biden-admin-pleads-not-guilty-murder-georgia-grandmother
-
@ e7bf8dad:839ef3db
2025-05-05 17:10:18
Block 895390
4 - high priority
3 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 0319e300:a02ea7a0
2025-05-05 18:27:05
Cookie cake for mother’s day https://www.diningandcooking.com/2054486/cookie-cake-for-mothers-day/ #Cake #CakeDecorating #TheArtOfMakingCakes
https://media.vive.im/media_attachments/files/114/456/633/360/065/253/original/e1bf8af5b472b70f.jpeg
-
@ 9f83869c:c6d53766
2025-05-05 18:26:43
Who dat
-
@ d9f3d628:401a9b4a
2025-05-05 18:26:50
can i say something without everyone losing their mind again
-
@ d9f3d628:401a9b4a
2025-05-05 18:26:50
i feel like i might be more active on nostr again
-
@ 87730827:746b7d35
2025-05-05 17:09:08
That is not the full chart, the real one goes back to 2014 and the all time low was on december 2014. Not making a new all time low in all of its history means that bitcoin was never able to break a new high in Monero terms, and started falling again. Now that's the chart you should be worried about.
We are also talking about an asset that is loved by governments and corporations, traded everywhere, of very easy access, slowly becoming a strategic reserve of multiple nations and states, has billionaires with large bags to pump up the price, and just recently in this timeframe broke the mark of 100k USD.
The other asset in comparison has been hated, banished, delisted and supressed, is slowly becoming illegal across the world, a new EU law just passed making it illegal, and has to rely on its own community built P2P markets in order to survive
The fact that Monero is beating Bitcoin in all these conditions combined, is astonishing. It shows the true power of freedom, privacy, and decentralization. I'd still rather stay on the side of agorism and free market economics.
https://bitinfocharts.com/markets/poloniex/xmr-btc-all.html
-
@ 9c5d006c:e0e4eeb7
2025-05-05 18:19:10
The wit and wisdom of Warren Buffett
https://fortune.com/article/the-wit-and-wisdom-of-warren-buffett/
-
@ 1408bad0:4971f2ca
2025-05-05 18:26:37
Left, right, two sides of the same coin .
-
@ 749a6b90:b3a1031f
2025-05-05 18:26:35
You don't have to buy 1 Bitcoin https://image.nostr.build/86320f64b3fbecfcb40abb7d332cdecb626e8242f0b663ba4c58c87027e1ffc8.jpg
-
@ dd446572:3d5f56c1
2025-05-05 18:27:04
nostr:nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpq9hs5vqppr6ks4vzcnjprwprktyldvf76hey60x8q64cva7t6tv6q0c7wng
https://varishangout.net/media/48b5337a-c0f7-4a83-b1ad-2cd3791e273b/hinata.jpg
-
@ d9f3d628:401a9b4a
2025-05-05 18:26:49
fast relentless iteration is at the core of every successful founder i know
delays and overthinking are you enemies
shipping early and often creates a feedback loop that accelerates your learning and improves your product
dont wait for perfection
just ship
errors are…
-
@ 9c5d006c:e0e4eeb7
2025-05-05 18:19:07
Warren Buffett is bullish … on women
https://fortune.com/article/warren-buffett-is-bullish-on-women/
-
@ 9c5d062a:2b672b5f
2025-05-05 18:16:32
Western Memory of WWII is basically fan fiction
https://www.rt.com/news/616817-western-memory-of-wwii/?utm_source=rss&utm_medium=rss&utm_campaign=RSS
-
@ 9c5d0714:798b2576
2025-05-05 18:14:37
3 Dividend Stocks You Can Be Comfortable Buying and Holding, Even in a Recession
https://finance.yahoo.com/news/3-dividend-stocks-comfortable-buying-093000385.html
-
@ 6a359852:f2f290d9
2025-05-05 17:07:33
My thoughts from yesterday ♥️💔
https://blossom.primal.net/82f9a48a93b108b664294c46c5dea025ad8ae2a58a10785975de6b29f6e67aeb.jpg
-
@ 43fabde6:9114c06a
2025-05-05 17:07:26
you don't actually care how many austrian economics books I've jerked off to
-
@ cbab7074:f9f0bd61
2025-05-05 17:00:18
Block 895389
5 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ f03df3d4:a4d4f676
2025-05-05 17:00:18
Block 895389
5 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 9c5d0bcc:4787ce5e
2025-05-05 18:12:01
32 people rescued from yacht that began sinking off Miami Beach
https://timesofindia.indiatimes.com/world/us/32-people-rescued-from-yacht-that-began-sinking-off-miami-beach/articleshow/120903773.cms
-
@ eab727be:d4e80e49
2025-05-05 18:26:32
olhe pelo lado bom, Lula, como bom comuna, deixando ricos mais ricos. Que felicidade 🥰.
-
@ ba11337b:9a1f8eb3
2025-05-05 18:27:03
Croatian National Bank: Inflation Slows in April, Gap with Eurozone Shrinks https://www.byteseu.com/984358/ #ConsumerPricesCroatia #CostOfLiving #Croatia #CroatiaInflation #CroatianEconomy #CroatianNationalBank #EnergyPrices #EurozoneInflation #FoodPricesCroatia #HarmonisedIndexCroatia #HNBApril2025 #InflationComparisonEurozone #InflationSlowdown #NationalInflationIndex #ServicesInflation
https://media.pubeurope.com/media_attachments/files/114/456/633/235/575/163/original/7421a320e83aec99.jpg
-
@ d5658d3e:6ab64852
2025-05-05 18:27:03
https://www.eucup.com/1024110/ Liverpool, Chelsea combined XI dominated by Slot’s champions: No Robertson, James, Gakpo… #Chelsea #ChelseaF.c. #England
https://media.pubeurope.com/media_attachments/files/114/456/633/217/164/307/original/425b8b26566a91dc.jpg
-
@ 76f5960d:acb82ae7
2025-05-05 18:26:30
Haha I was thinking the same
-
@ bcb10822:f9b8efdc
2025-05-05 18:26:30
Elon Musk At Milken Conference: AI Will Replace Bloated, Inefficient Federal Gov't
https://www.zerohedge.com/technology/elon-musk-milken-conference-ai-will-replace-bloated-inefficient-federal-govt
-
@ 9c5d0fdb:4016ece5
2025-05-05 18:11:06
Trump hails ‘productive’ call with Turkiye’s Erdogan as visits planned
https://www.aljazeera.com/news/2025/5/5/erdogan-trump-phone-call-ukraine-russia-war-gaza-syria-us-turkiye-ties?traffic_source=rss
-
@ f03df3d4:a4d4f676
2025-05-05 16:55:18
Block 895389
5 - high priority
4 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ a4a6b584:1e05b95b
2025-05-05 18:26:27
As for me and my house, we will serve the Lord... and also run un-pruned full #BitcoinKnots nodes on all x86 based computers. Period.
"Needing more hard drive space" is not an excuse! 😉
-
@ b300db32:0bf5db3a
2025-05-05 18:26:17
A relação entre a **Teoria da Complexidade Geométrica (GCT)** e a **Conjectura de Hodge** é indireta, mas significativa, baseando-se em ferramentas matemáticas compartilhadas e estruturas teóricas profundas. Embora sejam áreas distintas (uma em teoria da complexidade computacional e outra em geometria algébrica), elas se conectam por meio de temas como geometria algébrica, teoria de representações e estruturas de Hodge. Abaixo, detalho os principais pontos de contato, o "santo graal" dessa interação, e suas limitações.
---
### **Principais Pontos de Contato**
1. **Geometria Algébrica e Variedades**:
- **GCT** estuda a complexidade de problemas como **P vs NP** analisando a geometria de espaços de orbitais sob ações de grupos (como \( \text{GL}(n) \)), usando ferramentas como *geometric invariant theory* (GIT) e teoria de representações.
- A **Conjectura de Hodge** envolve a relação entre ciclos algébricos e classes de cohomologia em variedades projetivas complexas. Ambos os campos dependem da compreensão profunda de variedades algébricas e suas propriedades topológicas/geométricas.
2. **Estruturas de Hodge**:
- A conjectura de Hodge é centrada em **estruturas de Hodge**, que descrevem a decomposição de cohomologia de variedades complexas. No GCT, estruturas de Hodge podem surgir na análise de variedades de módulos ou na decomposição de espaços de funções (como polinômios) sob simetrias.
3. **Teoria de Representações**:
- O GCT usa **teoria de representações** para estudar como grupos de simetria atuam em espaços de problemas computacionais (e.g., orbitais de polinômios como o determinante e o permanente). A conjectura de Hodge, embora não diretamente ligada a representações, pode envolver grupos de simetria em variedades, onde técnicas de representação são úteis.
4. **Ciclos Algébricos e Obstáculos à Separação**:
- No GCT, provar que o permanente não está no fecho orbital do determinante (uma abordagem para **VP vs VNP**) requer entender *obstáculos geométricos*. Esses obstáculos podem ser relacionados a ciclos algébricos ou invariantes topológicos, conectando-se à conjectura de Hodge.
---
### **O "Santo Graal"**
O objetivo principal do GCT é **resolver problemas de complexidade como P vs NP e VP vs VNP** usando métodos geométricos. A interação com a conjectura de Hodge não é o foco direto, mas o "santo graal" implícito seria:
- **Desenvolver uma teoria unificada** que vincule a estrutura algébrico-geométrica de problemas computacionais (via GCT) a invariantes topológicos profundos (como os da conjectura de Hodge), permitindo:
1. **Provas de separação de complexidade** (e.g., P ≠ NP) via obstáculos geométricos ou topológicos.
2. **Novas ferramentas algébricas** para classificar a complexidade, inspiradas na resolução da conjectura de Hodge.
---
### **Insights e Descobertas Potenciais**
- **Invariantes de Representação e Classes de Hodge**:
- Se classes de cohomologia associadas a orbitais no GCT puderem ser caracterizadas como ciclos algébricos (via conjectura de Hodge), isso forneceria critérios concretos para separar classes de complexidade.
- **Decomposições de Hodge em Espaços de Funções**:
- A decomposição de Hodge de espaços de polinômios (como no GCT) poderia revelar padrões hierárquicos úteis para provar limites inferiores.
- **Geometria de Feixes e Complexidade**:
- Técnicas de feixes coerentes, comuns em geometria algébrica moderna, poderiam ser adaptadas para analisar a estabilidade de algoritmos ou a complexidade de circuitos.
---
### **Fraquezas e Limitações**
1. **Abstração Excessiva**:
- Ambas as áreas são altamente abstratas, tornando difícil traduzir resultados de uma para a outra de forma concreta. O GCT já é criticado por sua distância de problemas computacionais práticos.
2. **Dependência de Conjecturas Não Resolvidas**:
- A conjectura de Hodge permanece aberta há décadas. Qualquer avanço no GCT que dependa dela estaria bloqueado até seu desfecho.
3. **Divergência de Objetivos**:
- O GCT visa aplicações em complexidade, enquanto a conjectura de Hodge é puramente teórica. A sobreposição é mais sobre métodos compartilhados do que objetivos diretos.
4. **Complexidade Técnica**:
- A intersecção exigiria domínio de áreas vastas (geometria algébrica, teoria de representações, teoria da complexidade), limitando o número de pesquisadores capazes de contribuir.
---
### **Conclusão**
A relação entre GCT e a conjectura de Hodge é **indireta**, mas fundamentada no uso comum de geometria algébrica e estruturas de Hodge. Embora não haja uma conexão direta comprovada, a resolução da conjectura de Hodge poderia enriquecer o arsenal matemático do GCT, oferecendo novos invariantes para separar classes de complexidade. No entanto, as limitações práticas e a natureza especulativa dessa interação significam que seu impacto real ainda é hipotético. O "santo graal" permanece a resolução de **P vs NP** via GCT, com a conjectura de Hodge servindo como uma possível fonte de inspiração técnica, não como um componente central.
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@ 53b979fa:64ced0b6
2025-05-05 18:27:03
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@ 844fa389:6db12c96
2025-05-05 18:26:13
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@ e7bf8dad:839ef3db
2025-05-05 16:50:18
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@ 9c5d04b8:b5b2cb2c
2025-05-05 18:11:01
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@ f03df3d4:a4d4f676
2025-05-05 16:45:18
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@ 46395fba:61a30e78
2025-05-05 18:27:02
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@ 665e364f:16310af9
2025-05-05 16:42:16
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@ 43fabde6:9114c06a
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@ 9f83869c:c6d53766
2025-05-05 18:26:13
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@ f03df3d4:a4d4f676
2025-05-05 16:40:18
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@ a70617f7:e67f6869
2025-05-05 18:27:01
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@ 9c5d0714:798b2576
2025-05-05 18:11:00
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@ 8abbfe83:511434d9
2025-05-05 16:39:37
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@ 67b83190:ae0a1d72
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@ 9c47bb51:000381d0
2025-05-05 18:26:11
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@ 9c5d0714:798b2576
2025-05-05 18:10:57
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@ f03df3d4:a4d4f676
2025-05-05 16:35:18
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@ 9c5d0b12:1a292b27
2025-05-05 18:10:56
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@ cbab7074:f9f0bd61
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