i was watching sixty symbols today, and i learned about refractive indexes. light travels at 40% of its normal speed c when traveling through glass. after i watched that video i attended my summer class (engineering physics II, covering circuitry, optics and EM waves) and i started asking about what happens beyond what is normally shown in textbooks on the high-energy portion of the EM spectrum. my professor is Da-Zhu (levitated mouse using magnetic fields) and he said that the spectrum continues beyond 10^22 Hz and less than pm λ. he said it gets technical though. so, after some thinking (mind you i'm a chemistry major, whatever that means), i then asked if it was possible to increase the frequency while holding λ constant. he directed me to this equation: fλ=c . he said that would break the rules since the value of c is constant and f and λ are proportional. now, consider what would happen if the entire universe was composed of a solid chunk of molecularly uniform glass (sio2, not important i don't think). this would change the value of c in the equation c=fλ. c would then be equal to 120,000 km/s. my first question is, how would this affect frequency and wavelength in such a universe? would the spectrum in that universe be shorter, or confined to one end of our spectrum? my second question is this: would it be possible to construct a material such that as an EM wave traveled through it, it would slow down to some value, then slowly speed back up? because if indeed you could do that, then c=fλ would stop making sense (at least to me). that would allow the relationship between frequency and wavelength to fluctuate allowing for example, 10^22 Hz frequency with a wavelength of a meter. what don't i understand? since i don't know a whole lot about physics, i started to let my mind wander (but i was really just learning) and began wildly speculating which is a lot of fun. i'll tell you what i was thinking, and i'd appreciate it if someone could direct me to a topic that explains my wild, erroneous conclusion: on the high-energy side of the spectrum, frequency is increasing as wavelength decreases. if you continued to lower the wavelength down beyond the diameter of a proton (measured at 1.6 fm), it's possible for the frequency to be so high and the wavelength be so low, that it escapes through the long-sought-after *third* right angle (perpendicular to a 3-D coordinate axis, also violating conservation of energy principle, possibly black-hole related?). i understand this topic is highly time-dependent, since, for example, frequency can only infinitely approach, but never reach, f->∞. i've thought an inordinate amount about time today. thank you for reading. i want to be prepared with better questions to ask tomorrow.