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New Theories / Re: An essay in futility, too long to read :)
« Last post by yor_on on Today at 10:20:52 »I think we call most of it geopolitics. A very dirty word, just as dirty as role models.
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New Theories / Re: An essay in futility, too long to read :)
« Last post by yor_on on Today at 10:19:51 »And then, to add it up, some global warming
https://www.theguardian.com/world/2024/apr/16/ecuador-rations-power-andean-drought
https://www.theguardian.com/world/2024/apr/16/ecuador-rations-power-andean-drought
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New Theories / Re: An essay in futility, too long to read :)
« Last post by yor_on on Today at 10:18:25 »5
New Theories / Re: An essay in futility, too long to read :)
« Last post by yor_on on Today at 10:17:24 »6
New Theories / Re: An essay in futility, too long to read :)
« Last post by yor_on on Today at 10:16:27 »Energy wars
https://www.theguardian.com/world/2024/apr/14/an-energy-war-is-being-waged-former-oil-boss-warns-of-price-rises-after-ukraine-infrastructure-attacks
and oil
https://www.theguardian.com/business/2024/apr/16/middle-east-conflict-risks-a-sharp-rise-in-oil-prices-says-imf
Well, Russia is hitting infra structures and has been doing it since the beginning. They probably want a peace negotiation where not only Ukraine and the West is represented.
as for the second one? Well, fracking will go up, again
https://www.theguardian.com/world/2024/apr/14/an-energy-war-is-being-waged-former-oil-boss-warns-of-price-rises-after-ukraine-infrastructure-attacks
and oil
https://www.theguardian.com/business/2024/apr/16/middle-east-conflict-risks-a-sharp-rise-in-oil-prices-says-imf
Well, Russia is hitting infra structures and has been doing it since the beginning. They probably want a peace negotiation where not only Ukraine and the West is represented.
as for the second one? Well, fracking will go up, again
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New Theories / Re: How do we measure the energy of a photon?
« Last post by paul cotter on Today at 09:01:15 »One was a sine wave with upper and lower sidebands while all the others were sine waves accompanied by Bessel functions/expansions(don't ask me to elaborate on the latter I can't)
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New Theories / Re: How close are we from building a virtual universe?
« Last post by alancalverd on Today at 08:18:37 »The universe is a dynamic system, thus an accurate virtual universe must also be dynamic, i.e. change with time to reflect the real universe.Including itself.
Fact is that any mapping is necessarily incomplete. A database can be accurate or up to date, but not both.
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New Theories / Re: How close are we from building a virtual universe?
« Last post by hamdani yusuf on Today at 03:48:43 »Grok Vision - First Multimodal Model from XAi
Grok 1.5 Vision Shows STUNNING Performance | Beats GPT-4, Claude and Gemini 1.5
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X.ai just made an announcement about Grok-1.5 Vision. Its their new multimodal model that can understand images and can write code based on flow diagrams just like GPT-4
Grok 1.5 Vision Shows STUNNING Performance | Beats GPT-4, Claude and Gemini 1.5
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GROK:The universe is a dynamic system, thus an accurate virtual universe must also be dynamic, i.e. change with time to reflect the real universe. The accurate and dynamic virtual universe must have the ability to understand information they get from their sensors and other inputs. RealWorldQA benchmark is a way forward.
https://x.ai/blog/grok-1.5v
Introducing Grok-1.5V, our first-generation multimodal model. In addition to its strong text capabilities, Grok can now process a wide variety of visual information, including documents, diagrams, charts, screenshots, and photographs. Grok-1.5V will be available soon to our early testers and existing Grok users.
Capabilities
Grok-1.5V is competitive with existing frontier multimodal models in a number of domains, ranging from multi-disciplinary reasoning to understanding documents, science diagrams, charts, screenshots, and photographs. We are particularly excited about Grok?s capabilities in understanding our physical world. Grok outperforms its peers in our new RealWorldQA benchmark that measures real-world spatial understanding. For all datasets below, we evaluate Grok in a zero-shot setting without chain-of-thought prompting.
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Physics, Astronomy & Cosmology / Re: The Hopf gauge
« Last post by varsigma on Today at 01:35:22 »This is much like talking about something you've studied and you're trying to explain it during a darts game, or down at the bowling alley. But you assume people can generally understand numbers, and what an ordering is.
The nice thing about the poset, which was published to announce the "God's number" for the 2x2x2, but seems to have been ignored since, is that it is a set of chains and antichains, Dilworth's theorem applies, but (isn't there always a but?) there is an extra set of chains and they are 'quadratic', I'm tempted to call them cochains, but that's going to take a bit of proving.
These are all generated from the 'real' chains. There is an easy way to see through it all with restrictions and inductions, on the group action. This can represent the poset as just say, the Kleene closure of a set of generators, with the required restriction.
To illustrate what I mean, consider the diagonal line in ZxZ, from (0,0) to (11,11). This has the following tuple of numbers mapped to it: (1,6,24,96,384,1416,4788,14260,36780,69960,43984,96). This has an ascending and then descending order, and, if you factor the numbers there are some surprisingly large primes. The quadratic 'group action' divides each number by two (except the 1), generating a new chain from that point, and there are six chains. The maximum antichain length is six and Dilworth's theorem holds.
The primes have a different kind of partial order though. This is one reason it's almost impossible to solve a scrambled cube in less than the width of the poset graph of G.
Time for a cuppa. I've decided to shelve ribbon graphs, it's a bit messy in more ways than one.
The nice thing about the poset, which was published to announce the "God's number" for the 2x2x2, but seems to have been ignored since, is that it is a set of chains and antichains, Dilworth's theorem applies, but (isn't there always a but?) there is an extra set of chains and they are 'quadratic', I'm tempted to call them cochains, but that's going to take a bit of proving.
These are all generated from the 'real' chains. There is an easy way to see through it all with restrictions and inductions, on the group action. This can represent the poset as just say, the Kleene closure of a set of generators, with the required restriction.
To illustrate what I mean, consider the diagonal line in ZxZ, from (0,0) to (11,11). This has the following tuple of numbers mapped to it: (1,6,24,96,384,1416,4788,14260,36780,69960,43984,96). This has an ascending and then descending order, and, if you factor the numbers there are some surprisingly large primes. The quadratic 'group action' divides each number by two (except the 1), generating a new chain from that point, and there are six chains. The maximum antichain length is six and Dilworth's theorem holds.
The primes have a different kind of partial order though. This is one reason it's almost impossible to solve a scrambled cube in less than the width of the poset graph of G.
Time for a cuppa. I've decided to shelve ribbon graphs, it's a bit messy in more ways than one.