Mahi_sayli

in general in computer science, prime verification (or decision) problem can be solved in polynomial time. https://www.cse.iitk.ac.in/users/manindra/algebra/primality_v6.pdf I would still call it as intermediate polynomial problem.

That's going to hurt us. Once we loose our ability to print money without dollar devaluation, we will need to balance the trade and budgets. That is not possible for USA. I am not sure people understand what that would be like. I wouldn't say AI is worthless at all. Besides AI and Quantum Computing will be game changer if we succeed.

it's still not late. USA still is in the lead in many field. People don't realize that loosing scientific leads means dollar looses it's position of world's reserve currency. At the point, people will be directly impacted negatively and will loose purchasing power enormously. American public needs to be aware of that.

I am very worried about geopolitical situation developing recently. India leaning towards China could be just end to USA's position as world's superpower. It will not only impact geo-politics I am worried about scientific and technological leadership USA has been enjoying. Unfortunately American public severely underestimate impact of immigrant in the scientific and technological field. Most of the recent strides in AI, batteries and quantum computing have been led by Chinese and Indian immigrants. Loosing that channel could reverse American leadership. Technical center's will slowly move towards Asia in large numbers.

I would use past cosmological maps to develop a model to predict future trajectories of celestial objects. Would be interesting to see if it comes up results similar to relativistic model and even capture impact pf dark matter. It's true that Neural Network tend to me black box and we may never understand what each neurons really do but do we really need to know? If a ML model is able to predict any phenomena reliably that current models in physics, I wouldn't care a lot that the model is black box. Of course we need to make sure that ML model is not overfit to fit the data. Thanks for sharing your insights. I feel that physics has reached a dead end for 3D human beings like ourselves. May be AI will be able to find the patterns that we are unable to so far.

Thanks for sharing this. As you and @CharonY pointed, I am not talking about simulations. In typical simulations, physics is already known and we use known physics equations to solve the domain using boundary conditions. With AI, we won't be stipulating any physics equations, we will let the data figure out the relationship between various physical properties. Let's say we record a ball bouncing up and down using high speed cameras, and then let the AI models figure out the motion of the balls. We would record many other objects and add to the database, so AI just doesn't learn the behavior of one object. Eventually AI will come to model that has similar output as Newton's law.

Absolutely true, urban planning (or lack of it) makes it very difficult to use public transport in USA. Anyone that doesn't have a personal vehicle or unable to drive one is severely disadvantaged. Hope we can work on that over the years.

Thank you. I agree with all of what you said. Just as applying federal tax of gas would force people to use efficient means of transportation, why can't we come up with a tariffs that encourage consumption of essential and quality goods? I agree that what's going on is careless and visionless but left could use this to showcase our sustainable vision.

Not sure about EU but in USA it is cheap in my opinion. If it was expensive, people would be inclined to buy EVs, Hybrids or just smaller cars. In terms of "real cost", what is the cost of burning all of the petroleum reserves within 100 years, reserves that took millions of years to accumulate? What is the cost of releasing carbon stored underground for eternity into the atmosphere?

SUVs are built because people want to buy them and afford them. Truth is that gas is cheaper that it should be in USA. Most automakers have flexible production lines so they can switch to smaller cars on the same production lines easily. Small cars will become expensive due to tariffs but they will still be cheaper than large SUVs.

I understand that tariffs need to be applied strategically so it doesn't affect essential goods but i am also sick of naked consumerism. I hope auto tariffs force people buy smaller more efficient cars rather than monstrous SUVs everywhere. Current application of tariffs is really careless but I was hoping left shows up with nuanced discussion instead of just opposing it. Left should turn this discussion towards sustainable policies. Domestic manufacturing is not just economic benefit, manufacturing closer to market and manufacturing with descent environmental regulation is good for overall climate.

So are you saying lack of consistent policy is a problem but not the tariffs in themselves? Wouldn't it be ideal for left to use this opportunity and seek consistency instead of opposing the tariffs? Amount of useless gimmicky products sold in USA especially is a major source of carbon footprint.

Is it really naive of me to believe that in long term tariffs will force people to be minimalistic and only buy things that they need? Also wouldn't tariffs reduce shipping / transport related emissions since manufacturing will take place closer to the markets? I am just wondering what are other aspects that could be worse in terms of climate change.

I agree that the math part could needlessly put some people off. It depends on what is user's motivation behind learning though. I would still say one should at least know how to use Schrodinger's Equation to calculate probability distribution of the states. But really depends on OP's motivation. Danvalli, you can start learn the parts that you enjoy and then may be move to more involved parts.

While you can learn with online videos and books, if you are genuinely interested may be sign up for courses at your local university if they offer continuing learning programs. You could also look at graded courses on platforms such as coursera. Quantum Mechanic's core lies into the mathematics that can be harder to understand so may be start with studying mathematics. You might take longer to learn the mathematics but it will be worth your time. If you are looking for a book J.J. Sakurai's mooks is used as a textbook. And Leonard's Susskind's lectures are awesome and freely available on youtube. Good Luck. I am really happy to see people are interested in learning QM.