Evolutionary universe?

What if many universes with distinct physical laws exist and selective pressure is exerted on a universe for a certain property?

For example, if gravity were too strong or too weak, the universe as we know it would not exist; it would fall apart very shortly after its birth. If an equal amount of matter and antimatter existed, the universe may have completely annihilated itself. This didn’t happen, but in an infinitude of universes, it certainly has in the majority of them.

Or, even more tantalizingly, what if this universe was selected for its ability to support intelligent life? Maybe there’s something to the strong anthropic principle? Could the universe we live in be subject to the same laws that dominate life within it?

I'm going to have trouble doing research…

Because it requires expending too much energy seeking out collaborations. When I expressed a wish to work with Tarjan, it was a goal inextricable from that of gaining admission to Princeton, where he works. “Why not collaborate with him anyway?” is a question that does not make sense to me – how can I do so when I’m consumed by research at Temple? Even if I had the time, why would he be willing to work with me, considering that he was probably an integral part of the reason that I was rejected? I also don’t relish the idea of working to grant any sort of glory to an institution that refused me the education required to attain my research goals – something I’ve already done for UPenn because my group is collaborating with researchers there.

I need to find the time to work on my own research problems and make significant discoveries, as I did when I was at Monmouth. Perhaps most researchers can endure devoting their time to others’ problems. Perhaps most researchers simply view research as a job; a system in which to work. Perhaps most researchers view interacting with the research community as half the fun.

I am not most researchers. Ideas themselves compel me and I would give much to cut myself off from those who have obstructed my pursuit of those ideas.

I am afraid I was born into a scientific environment approximately four hundred years too late. My scientific philosophy aligns much more closely with that of the 17th century than the 21st.

Why?

Why am I so stupid? I constantly feel as if I am getting through life only by the grace of others, and that as soon as that ends, I’ll be cast out due to my idiocy. I know that this is the so-called “impostor syndrome” and that it is particularly prevalent in high-achievers, but that’s no excuse for consistently not knowing things that I should. Having made it my goal to know, I am only inundated by all that I do not know.

Rejection only makes it worse, because it comes to be viewed as condign, while accomplishment is brushed off and set aside; a mere trifle regardless of its depth.

Some musings I will probably include in my Treatise…

Lest I forget it in the chaos…

“Does C minor care about the Pathetique, or evolution about Darwin? Will hard work make one equal to the canvas upon which one paints? Of course not; to ask such questions is nonsensical. However, to deny the influence of Beethoven, Darwin, or Picasso on their respective arts would be folly. Thus, the tools and the workers evolve simultaneously, creating a powerful feedback loop that resonates across the ages throughout all of society.

And so we have the meme: an idea that propagates through its users, much as a gene propagates within organisms in which it is present. If the idea as it is practiced is advantageous – that is to say, it is used in a revolutionary way – it will spread as practice imprints itself on theory. Thus the revolutionary becomes commonplace: we associate C minor with heroic struggle, we accept that great complexity may arise from unguided processes over long spans of time, we construct art from simple geometric shapes, and culture advances.

Due to the inherent fluidity of our tools, it would be incorrect to call any of them truly Platonic in nature. Certainly, an Ideal art or science may exist, but what if we were to attain it? Would that system be able to answer all of our questions? What about the Gödelian, undecidable ones? Would everyone agree with the resulting conclusions or aesthetics? And, most importantly, how would our previous work be incorporated into such a system? Would it be a subset of the Ideal? If so, what if we had chosen a different path? If not, why did we come up with it in the first place? Attempting to quantify and describe Ideals in mundane terms leaves us with more questions than we started with. To say that we see shadows is too generous for such a condition; we are stumbling in darkness because we cannot understand the light!”

Time!

There simply isn’t enough time in the day for me to pursue as creative a worldview as I have.

And yet I can’t help but think that about half of that time is spent on relatively meaningless social obstructions.

Results from running time

Some algorithms contain parameters in their running time that actually correspond to their solutions. For example, the vertex cover is fixed-parameter tractable for size k of the cover- the running time is expressed in terms of k rather than n.

If we implement awareness of its own running time into such an algorithm, we can use this to easily determine the solution.

The Significance of a Photograph

The photograph is simply a piece of paper, valueless except for the ideas that it construes. The true worth of the recorded experience is objective, yet we may only experience it through memory… and even that may require visual stimuli from the photograph to trigger.

This is the universalist/relativist duality of which I will soon speak at length.

Recognition in academia vs. industry

I feel as if I am cursed to go unappreciated in academia. For others in my graduating class at Monmouth University (’06), this probably sounds ludicrous: a member of four honor societies and an officer of one, the recipient of three scholarships, member of the STE advisory council, composer and pianist with a significant following in the music department, and recipient of awards for excellence in computer science and the highest GPA in the class, unappreciated?

The sad truth, however, is that all of these things are the academic equivalent of consistently good performance reviews without promotions or raises. None of my achievements were recorded in the Outlook and even the Monmouth University Magazine section on the Spring 2006 commencement somehow managed to omit the only student recipient of an award at the ceremony. Despite the importance of my research, particularly on the divisor function, the results of which should be quite usable in a proof of the Riemann hypothesis via Robin’s Theorem, it went almost unnoticed at annual STE conferences because the Biology department (as a whole) has better PR than I do (independently, because no one else seems interested in pursuing the big questions; the longer I stay in academia, the more I am convinced it is about nothing more than publishing as much as possible in the shortest time). My pianistic and compositional talent was lauded, but only once it was too late to actually study composition at Monmouth.

The worst of it, however, and the part that I will have a very difficult time forgiving academia in general for, is my inability to gain entry to a school that will truly challenge my abilities. Granted, I ended up at Monmouth because my high school GPA was poor and no other schools looked past the GPA at my SAT scores or all of the real-world things I had accomplished while others were working on contrived assignments, but no such excuse exists this time: between all of my accomplishments from age 12 to the present, a 3.96 GPA at Monmouth and a 4.0 GPA at Temple with a one year Master’s degree, a perfect GRE score, a history of independent and joint research, including publications, and a personal statement that is being used as a model in Monmouth’s writing center, there is no flaw in my application save for the school I attended… and if that is a valid reason to deny an otherwise-excellent candidate admission, the entire process is a vicious cycle.

Perhaps naming the problematic schools will yield a bit of perspective: Princeton University, Columbia University, Cornell University, and New York University. The first thing you will probably notice is the competitiveness of these schools – no wonder I wasn’t accepted! Unlike most applicants, however, I can care less about Ivy League prestige. The reasons I needed to get into these schools were the strength of their algorithms programs, their small size, and their proximity to my home. I scoured the list of universities in my area looking for other fits, but there simply were none.

And that is why I am at Temple studying a subject that I have far less (though still some) passion for and that I did not apply to practice. One of the reasons I chose Temple was to complete the Ph. D. as quickly as possible so I could resume doing research in the field I love once my ability to control my own academic destiny was restored. It is unfortunate that the prospect of remaining in Philadelphia for even two more years is revolting. My advisor is helpful, the bioinformatics work being done at Temple is fairly unique, and there is no other school that I can complete the Ph. D. in so quickly, so I will most likely endure it, but academia will certainly not earn my gratitude for its reception.

Contrast this with my reception in industry: I landed my first technical job (and my second job overall) at 16, where I quickly rose through the ranks to lead web developer. Since then, I have not needed to even apply for jobs, because offers started streaming in at a rate of at least 2 per year (six in 2006, four thus far in 2007). In 2006, some of these offers started to pay very well, but still I denied them because I had decided on a future in academia.

And so we return to the present: merely four days after receiving the latest round of rejections, I was contacted by Google, of all companies. For the first time in years, I will have to interview, but here is a job that is simply too good to pass up – a job sufficiently promising to cause me to forsake the system that had cast me from its folds and demanded that I study others’ fields to the expense of my own not a week earlier. It’s a job that may permit me to study and research algorithms if I haven’t become so sick of the way it is cast aside in academia to want no part of it anymore.

I suppose this post is my way of asking for a reason to remain in academia. Why should I contribute to a system that has done nothing but reject me? I feel that I owe completion of the degree to my advisor, who has invested considerable time, effort, and funds into training me and clearly takes personal pride in his students… but this is not sufficient; I would just complete the degree and choose a path that didn’t require it to begin with. I need a reason to persist.

Beethoven's Sonata no. 32 in C Minor

The depth of Beethoven’s late period compositions astounds me. The technical difficulty of the compositions also appears quite high compared to early period compositions, and I am most likely not capable of playing many of them yet.

Though I found the majority of the first movement of Beethoven’s final sonata profound, the chord about 2/3 of the way through introducing the developmental section is extremely surprising to find in a Romantic piece of music.

With the exception of the “boogie woogie” variation (which the movement is worth hearing for alone because it’s far ahead of Beethoven’s time), the second movement of the sonata clearly indicates that this is Beethoven’s last sonata – it’s as if he’s quitely and remorsefully bidding the form goodbye.

All in all, it’s a great piece, and Wikipedia has a great recording to listen to.