All the calculations made about the distance of the universe relies heavily on the speed of light being a constant. (without a constant, how can you measure anything)
The speed of light in a vacuum i.e. the near vacuum of interstallar space is a constant. The experiment you refer to is measuring the speed of light in a medium other than a vacuum i.e. cesium gas, which of course is not a vacuum. In no way does this experiment invalidate the constant of the speed of light in a vacuum at 186,000 miles per second.
it's arrogant and unlawful for people to tell students the evolutionary guesses of distance outside our solar system is "fact."
Its arrogant that you think that you with what little knowledge on this subject you apparently have and with the errent information you post, think you are more correct than 99.99% of scientists working in these fields. That is what is arrogant. Though it is not unlawful for you to be an ignorant in the subject, it just makes you look stupid.
"It is far better to grasp the Universe as it really is than to persist in delusion, however satisfying and reassuring." - Carl Sagan, The Demon-Haunted World