A few years after this was written, Planck proposed energy quanta. And in 1905, Einstein published his four Annus Mirabilis papers, introducing the photoelectric effect (applying quantum), special relativity, and the mass-energy relationship.
A few years after this was written, Planck proposed energy quanta. And in 1905, Einstein published his four Annus Mirabilis papers, introducing the photoelectric effect (applying quantum), special relativity, and the mass-energy relationship.
Tell that to Einstein.
Einstein's advance was quite spectacular, and early.
Source: Am gravitational experimentalist.
https://www.newscientist.com/article/mg24032022-600-exclusiv...
This is why category theory was not discovered, it was reverse engineered! The reverse engineering steps were:
3. Natural transformations
2. Functors
1. Categories
Edit: Of course, when he said theorist I think he meant people who don't experiment physically.
When we went from 1 coconut -> the set {1}, then we were being really abstract for the times.
But I think your point is that category theory synthesises group theory, linear algrebra, topology, etc. into one concept, which was very much the spirit of the origins of category theory. However, Mac Lane and Eilenberg thought that their diagrams were just an aid to mathematics (much like a Venn diagram, Cayley diagram or a Feynman diagram). But when they realised that natural transformations are so ubiquitous and fundamental, then they realised that their graphs were not just a useful shorthand, but in fact would lead to a whole new type of mathematics. When people thought (not Mac Lane though) category theory was "abstract nonsense" they were making this mistake of thinking that the diagrams are illustrations rather than concrete mathematics.
In the same way, you might thing that {1,2,3} is just an illustration, but in fact it is a rigorous shorthand for a very specific set.
The real meat behind category theory are things like natural transformations and adjunctions. But to get to category theory from there, you do a kind of reverse engineering.
https://www.amazon.com/End-Science-Knowledge-Twilight-Scient...
and that most remaining science is just find of filling in the tiny bits.
I personally don't expect anything that will change with respect to backwards time travel or faster than light travel.
For the first two, we'd need to have a radically different physics than the current model, while the last two, they seem like reasonable extrapolations from modern technology.
(based on my understanding of transistors, the first ones were conceived before the theory for them existed, and the first ones were built around the same time the quantum theory for them was expressed).
Who knows, maybe we'll find that we actually are living in a simulation and then figure out how to hack the matrix. The idea of "travel" and "time" would become obsolete then; you'd just poke new values for your wave function into the simulation's RAM.
Did you just invent these two words? I googled them separately and your comment is litterally the only hit. Chapeau!
(I happened to be watching How A Plumbus is Made when I wrote the comment, btw).
I think there's a noteworthy distinction between science and its applications. In my mind, science is about understanding the world, whereas fields like engineering/medicine are about their practical applications.
I do think that there's a tremendous amount of progress that could be made in sciences like Biology, Psychology etc. But I would draw a distinction between the things that fundamentally change the way we understand the world, vs building really cool toys that we would love to have.
For example, CRISPR. Many people think that CRISPR was an amazing discovery, but really, it's just a biological system that has existed for a long, long time, where a collection of smart people realized that with some engineering it could be used for effective genetic modifications with high precision and no need for engineering custom proteins to bind specific sequences. That seems fundamentally different from, for example, the experiments that established that DNA is the molecule of heredity when nobody had an idea how DNA could encode information.
> merely be elaborations of basic principles that already exist, rather than elucidations of any as-yet undiscovered principles.
This is not a meaningful or thoughtful examination of even chemistry. 3D structure of proteins is "merely" an elaboration of physical properties, yet "physics" doesn't have the tools to make much progress on solving the 3D structure of a sequence of amino acids, despite it being a purely physics process.
Is the world "physical" in the sense that probably don't have new fundamental forces of nature? Of course. That doesn't mean that physics helps understand much of the physical world, because the "elaboration" in the "merely elaboration" has nothing to do what physicists or other scientists consider "physics."
Also, we can simulate protein folding well enough from classical physics and quantum approximations such that "rapid two-state folders" are considered solved. That was a major outcome in the course of my career, to which I contributed significantly :)
I worked in protein folding over 30 years ago at EMBL, and have loosely followed it since. I could easily have been led astray, but I was absolutely not under the impression that we can do this even close to "well enough".
The CASP results weren't really a big deal. It was a modest advancement using techniques that were already spreading throughout the community, coupled with a skilled team that understood the score metric very well.
Two state folders can be reversibly folded using empirically determined force fields (two state folders basically go from "any totally unfolded configuration" to "fully folded single structure" in milliseconds); we can just run simulations and let the (quantum-inspired, classically embedded) physics do the folding, or we can use other techniques, like Rosetta (monte carlo plus lots of empirical data from known structures), or evolutionary data-based techniques (like Deepmind and others used).
Is there a paper that describes the parameters of the peptide structure that go into the "physics do the folding" part? When I was at EMBL, I was focused on using local hydrophobicity to see how predictive it was (not at all). Is the physics model operating at this level, above it, or below it?
Well done!
However, we more or less understand that morality of larger lifeforms is encoded in our DNA (e.g. telemers). Mortality seems to be a defense against cancer.
There is no particular reason that a human needs to grow old, except for the accidents of evolution.
Btw, in this sense cancer is just another tool, that limits lifespan and ensures generations change. Of course, it didn't appear as such, but most species have no natural incentive to develop a resistance to it.
Not exactly and i believe there are a rare few that are much much more resistant to it and as such have become subject of research (trough TP53 in elephants or P16 and P27 in naked mole rats)
At the end of the day this natural incentive depends on when the cancer can appear (generally right away at every step of the cell cycles) and how likely it is which probably depends on the turnover and amount of cells of a particular type or in the being overall which one would assume increases as the being grows and additionally how likely it is to inhibit reproduction as it grows.
As it stands i'd say whilst they're not too inhibiting on this front (for example humans are most fertile at relatively young age well before most cancer occurrences become a problem. We've just extended our lifespan quite a bit) they still can be (kids can die of cancer too) and thus an evolutionary incentive against it however minor is present.
Did I tell you about the time, in 7th grade biology class, the kid sitting next to me was asked to read something aloud from the textbook about ”organisms”, but of course she said “orgasms”. She might have died a little right there, whilst the rest of us got her energy recycled as a power-up.
It may very well be that understanding emergent phenomenon at the appropriate level of emergence will turn out to be vitally important, and that reductionism (while undoubtedly useful in many scenarios) is impeding our understanding of emergent phenomena like consciousness and evolution.
The assumption that any of these new technologies would be desirable and create a net positive effect in the world sounds very naive after seeing the results of something as simple as "connecting the world".
We need to have a better understanding of how new technologies interact with our existing technologies (including institutions and communities) and our environment, or else we risk (further) destabilizing everything that has allowed us to get this far.
People need to have a point of contact with that extrapolated future to became a popular science fiction work, even the culture in the far future fiction is usually pretty similar to our own (or at least, the one of the moment where that book was written).
Present works (not the ones with inherited universes from old ones) are updated to our current expectations of the future, so you have sentient computers and other "possible" technology, and probably in 50 years we will have a different set of standards and not something as naive as what used to stand as possible 50 years before.
"But time travelling is just too dangerous. Better that I devote myself to study the other great mystery of the universe..."
(looks upwards at the stars)
"women."
Backwards time travel or FTL are not measure of progress. Even with the field of "fundamental" physics:
1. There are lots of things we do not understand in cosmology (cosmological constant, nature of dark matter, matter/antimatter asymmetry, force unification at very high energy scales, gravity at high energies, etc). Each of those could potentially revolutionize our understanding of the universe
2. There are lots of things we do not understand at small scales (Casimir effect/vacuum energy relationship, plank scale effects, why the particle soup, gravity on very small scale, reason behind asymmetry in helicity/weak interaction and other parity/symmetry related effects, doing "useful" calculation with renormalization group, etc). Each of those could potentially revolutionize our understanding of the universe.
There is also a lot to be done in our understanding of computing (as in, nature of computation)
1. Computation related problems (Church-Turing thesis, novel algorithmics + computing platforms such as quantum computing). Is approximately correct/probabilistic computing a loophole for getting essentially/mostly correct results in P time for NP-hard problems? Nature of AGI/what enables sapience when doing computing.
Of course as we go into "less fundamental" sciences like chemistry/biology/etc then the amount to be learned is just overwhelming, we truly know very little.
E.g. https://gizmodo.com/we-could-solve-the-mysteries-of-time-and...
"We Could Solve the Mysteries of Time and Space—If We Had a Particle Accelerator the Size of the Solar System"
That's the problem. Our collective civilization will need to move a few levels forward before we can afford to tackle these problems.
Which leaves the obvious path forward...
I'm saying that imagine 50% of the population works in blue collar general labor or semi-skilled labor fields. Now in this hypothetical worlds, all those jobs are managed by autonomous robots. Also we have a green power that is sustainable, storable, sufficient for even double the population, and can be held in high densities at low volumes. So there are now innumerable sectors within the economy that we don't need people themselves to learn. That leaves more time for people to take extended amounts of time to learn and study. I mean quite literally a Star-Trek "post-scaricity world" in a lot of ways. People use time to further themselves and expend time on cultural or scientific endeavors. Life is no longer about struggle and survival since money clearly would have no value if any and everything can be made or consumed for free. I mean it's really interesting to think that the only "conflict" that would exist is between people trying to min-max life in terms of achievement. There would be no achievement in religion, money, or ownership since everybody can do it.
Ultimately what I'm saying is that a lot of our advances are contingent upon other sectors becoming automated and allow for more people to get into academic sectors.
Because that's the only way you get to post-scarcity.
This is a non-problem that has always taken care of itself in any developed country and we have no reason to believe it will not take care of itself in the developing world as well.
The UN for instance does not believe there will be 10 billion humans on earth ever (where "ever" means "as long as projections have any value").
The fact that we're cooking the planet with ~8B does not bode well for what even 10B looks like.
I'm not saying that 100% of that 50% will be employable in this world. I'm saying that over time that 50% will inevitably become that bare minimum. The way I see it is 150 years ago, your idea would be that we couldn't possibly get all children to become educated at an 8th grade level, yet here we are, even making an HSD the bare minimum.
Eventually your masters thesis will be an area for you to study and pursue to make an attempt at furthering society.
Not a physicist so excuse the ignorance, but do we understand gravity at all?
I mean afaik we can observe and predict it's behaviors but do we understand what underlying force causes it, and if it potentially has a counter force.
So the word "understand" is a bit loaded. GR is a certain understanding of how gravity works, but it is not a "quantum mechanical" understanding.
Although, life can be reduced to chemistry and chemistry to physics I feel we are missing some high-level self-organizing principle of the universe.
Sorry, could you explain why you think life is not evolvable exactly? Assuming you take the existence of a single celled organism with DNA as a given (we still don't know the origin of life), evolution gets you the rest of the way rather nicely. Notably, "life" usually contains the assumption that it is evolvable as part of the definition. If the children of the organism can't adapt to the environment, we don't consider those things to be "alive" (e.g. a 3d printer that can print a copy of itself isn't alive).
As for the origin of life, all serious scientists are onboard with abiogenesis, though we don't know the mechanism. Every year, new science comes out showing how microfluid droplets with organic compounds + the natural environment, can result in behavior that looks similar to a cell.
For example, this one shows fairly interesting "cell like" movement without any life, and there was another last year that proposed a possible abiogenesis of cell walls through evaporation and organic compounds that suck up large molecules into the interior when evaporated.
https://qz.com/487712/why-these-colored-water-droplets-seem-...
Evolution implies a relatively smooth path through "DNA space" from, say for example, an early single cell eukaryote to a mushroom. However the search space is enormous. Even if we account for billions of years of evolution and a trillions of evolutionary experiments each year, a simple random walk with selection through DNA space should go nowhere because of the numbers involved. The curse of dimensionality[0] means there has to be some other principle of nature to make the search space yield a path from one viable life form to another. The search space of life would have to be 'smooth' in some sense. That 'smoothness' is something we don't understand.
If DNA space is just 256 bits (as a dramatic simplification), then 2^256 is a very very big space to search just by chance [1]. Now imagine a space orders of magnitude bigger.
[0] https://en.wikipedia.org/wiki/Curse_of_dimensionality
[1] https://youtu.be/S9JGmA5_unY?t=22 (3Blue1Browns wonderful illustration of how large 2^256 is)
Imagine flipping a fair coin 256 times. The particular outcome ('HTTTTHHTTTTTTTTHTHHHTHHTHTHHHHH...') is extremely difficult to replicate, but getting any outcome is very easy: just flip the coins again. In this case we also have a lot of selection bias: all the paths through DNA space that don't result in intelligent life don't result in anyone having this conversation.
Regarding the curse of dimensionality: it's a statement about the available data rapidly becoming sparse in high dimensional spaces. It doesn't really say that high dimensional spaces are necessarily sparse, it's just hard to "fill" them in with the amount of data available.
Comparing a mule with it’s parents shows how much novelty can be produced in a single generation (in this case an evolutionary dead-end of course)
Just because many of the questions we want to solve today are of practical significance (inventing new medicines, perhaps) doesn't make it any less scientific.
Indeed, almost 20 years after the Human Genome Project, we have only scratched the surface on how to understand what any particular genes are doing, and are very far from doing anything more than "hacking" on existing genes, let alone writing a biological program from the ground up.