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kini pud she also likes to sing inubanan sa iyang paggitara sa inglis pa got stuck in my mind her so girlish nga tingog inubanan sa pagpluck nya sa iyang paggitara
youtube.com/watch?v=mQ9b3JszQD

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gapaminaw ko ani line by line, kato nga higayona sa inglis pa got stuck in my mind when alyn was singing along these lines from her so girlish voice ok kaayo paminawon samtang nagatukar pud sya sa iyang gitara di lang kaayo nako madomdoman kung eng'g days ba tua nila o intrams nila pero ako dadto pa as if nga igo lang milabay na pagkahuman iya ko gisukatan ngano kuno wa ko mohapit tan-aw didto gud ko pahipi lang sa daplin ako lang sya ingnan naa koy lakaw
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Then you listen to the music
And you like to sing along
You want to get the meaning
Out of each and every song
youtube.com/watch?v=5fYUpVAb34

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Nevertheless, Afshordi is supportive of efforts to rethink fundamental assumptions about the universe. “Most new theoretical ideas are dismissed by skepticism,” he says. “But if we dismiss all the new ideas then there won’t be anything left.”
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science.org/content/article/da

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i'm really a fan of healthy debates stand your ground until experiments and further data prove our stand wrong or triumphantly correct! and science it is! i just hope debates in science would be more frequent and glaring on socmed flatforms especially these gloomy days when pandemic, ukraine war, high gas prices and worldwide inflation seem to dominate the moods of the world i kind of remember Karl Schwarzschild's point in his remarks that solving Einstein's field equations gave him an escape from the sadness of war while he was in the frontlines being a military officer in his time (i'd try to be always updated with this)
science.org/content/article/da

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here is what you may want to know re the late time accelerated expansion of the universe and how much dark energy there is to cause such accelerated expansion
science.nasa.gov/astrophysics/

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i should focus back to what was i doing rather than be distracted for long ;) i still have a lot to learn!

i don't believe that BHs masses should change due to the expansion of the universe and the backreaction that as BHs change their masses in effect, they contribute to dark energy that speeds up the expansion i DO NOT believe it works that way. the best explanation there is to the late time accelerated expansion of the universe is the cosmological constant, other adhoc theories that don't depend on Bh's mass evolution

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(my questions in connection to this paper have something to do with the cosmological principles of homogeneity and isotropy that as far as i understand these work well in terms of what we acutally observe in the universe like CMBR, WMAP and also when it comes to BHs, what happens to Birkhoff's theorem? according to this paper, BH mass increases as affected by cosmological expansion in turn, the increase in BH mass would contribute an effective cosmological constant to accelerate the expansion so that the universe in effect speeds up more and more in its expansion)
to quote from the authors of the paper
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The redshift dependence of the mass growth implies that, at z less than/aprrox 7, black holes contribute an effectively constant cosmological energy density to
Friedmann’s equations.
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iopscience.iop.org/article/10.

Hollik also discusses ckm matrix... also worth mentioning is the interaction of fermions and higgs boson as contained in eqn(123), pp. 19, "coupling constants proportional to the fermion masses"
arxiv.org/abs/1012.3883

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a reference text on how ckm matrix would appear in a part of standard model lagrangian that contains interactions with the W-plus/minus vector gauge bosons involving quarks
arxiv.org/abs/1912.09562

cleaning it up with few strokes and hope things can be more legible

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an expert reader would have noticed last night's typo! if i'd have the extra time and energy be providing additional details

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from my old notes in Lie groups, one of those self-made workouts in the past when I first introduced Lie groups to myself, it was also in those days i met alyn a year before she finally convinced herself to take up an engineering course, the time we met she was still a working girl being a cook and a waitress in a diner owned by her relative. at first she liked to pursue chemical engineering but when she actually enrolled she… a different engineering degree although orphaned already at that time and had to take care of her younger siblings she wasn’t totally hard-up economically since she inherited small landed properties and an apartment from her parents although she loved to work and earn extra money (re the quiz, you can consult any textbook in Lie groups and Lie algebra and there are some advanced textbooks in differential geometry that cover topics on LG and there are even quantum field theory books that contain introductory discussions on such subject)

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for math and physics advanced undergrads as they have already taken up the Prerequisites indicated and i may add basic prior course in complex analysis
math.stonybrook.edu/~kirillov/

I would have given you something from my self-refresher courses in Lie groups and manifolds with topological spaces but I would rather have my “equation of the weekend” taken from my other technical stuffs like this one. This, one of the many amazing things I never cease to be fascinated about, especially conservation (conversion) laws.

Now about this, one can notice that a loaded electric generator may experience transient acceleration or transient change of kinetic energy per unit time the moment it begins supplying electrical power to an external load resistance. The acceleration of the moving conductor dies out may be quickly in time as the velocity of the conductor settles down to a constant value. How soon the transient quantities die out depends variably on the total resistance, which in turn may vary with the external load resistance.

While when an open circuit (infinite resistance) condition is approached that is, electric power is vanishing, the acceleration tends to persist infinitely longer in time and as this happens the velocity ceases to be dependent on the resistance. Instead, the velocity increases linearly with time, given an open circuit in which electric power is no longer expended from the generating conductor.

take note Nokia Bell Labs that started out as Bell Telephone Laboratories, where the first transistor was invented
bell-labs.com/about/awards/195

(music break)
mtv 90s channel personally the decade of gilbey's gin. marlboro lights green menthol (unpaid ads) would like to relive it but..
youtube.com/watch?v=domjqjQ_WR

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