Hi Georgina
It was nice to read your essay, I found it very clever and creative in the way how you exposed your points. I think you touch some important topics. Certainly I must confess that you touch so many topics which due to the lack of space it is impossible to treat them in more detail. I just would like to make some comments about the topics that you touch.
You have listed many of the inconsistencies found in physics by making a comparison between theory and the "observed" reality. It seems to me that you have noticed that physicists some times make non-sense assumptions. If you have read my essay I am sure that you have understood the why. Some times it is very difficult to model in mathematical terms the reality and theorists must resort to weird assumptions and oversimplifications of observations or data.
On the other hand, I would like to make clear something about the following. I think that there is some misconception with respect to QM. For instance
You say: Einstein's relativity is completely deterministic but QM relies upon probabilities and so is
non deterministic.
Relativity is certainly deterministic, and it is deterministic because it deals with macroscopic systems which are not considerably affected by the process of measurement. But however, QM has two components. If you take a look at the Schrodinger equation you will realize that the equation has a deterministic character. While doing the calculations of a particular system one assumes that reality is deterministic. The harmonic oscillator, the hydrogen atom etc. are treated formally as deterministic problems. The probabilistic part arises from the measurement problem, the uncertainty principle etc.. So one can consider that QM assumes a deterministic reality but however the measurement problem makes this deterministic reality non-deterministic because the measurement affects the system under study. Recall what I mentioned in my essay with respect to this assumption. If the measurements on macroscopic scale affected considerably the system under study relativity theory would most probably become non deterministic. I hope you have gotten my point. What I said is highly connect it with this:
You say: Classical physics can't explain; the probabilistic physiological effect of radiation, the
photoelectric effect, line spectra, black body radiation, wave properties of the electron. QM
can.
You also said that: There seems to be an arrow of time that is inexplicable by Einstein's relativity or QM
I think that the cause of this lack of explanation has to do precisely with some of the false assumptions that I point out in my essay. If you consider thermodynamics, in particular the second law teaches us that the entropy of a system always increases, this means that no process is reversible. One can interpret this as if no event is repeatable, that is, that a given event cannot repeat again in exactly the same way. This suggest that there is an arrow of time pointing in just one direction. Therefore, relativity and QM cannot explain this asymmetry because they were designed to describe only reversible processes. The asymmetry arises due to the construction of the equations that allows to repeat the events in any direction of time. Consider for instance, Newton equation, F=am=md^2x/dt^2, if you change t for -t you will get again the same equation. This same thing happens with Einsteins equations and the Schodinger equation. What I want to make clear is that these 3 equations again are describing an ideal universe that in reality does not exists, actually they describe a very simplify universe but these equations are useful to make the practical calculations required for technological applications.
Finally, I would like to say that to a certain degree Max Tegmark is right. His task is to try to find the correct mathematical structures to get rid of the baggage. He assumes that for every physical element of reality there most be a mathematical one. I think that this may be possible for quantitative explanations (this is why mathematics is used in physics) but not for qualitative matters in which the baggage is fundamental to understand our ideas.
I wish good luck in the contest
Israel