Dear Anton,
You ask a very relevant question and proceed to answer it in an interesting manner. Many of your arguments seem original. For example you say, "though a broken egg doesn't unbreak, its evolution, its creation in fact comes down to unbreaking the egg." Took me a moment to understand your point but it is an excellent point.
You conclude, "if in a closed universe particles and laws of physics similarly are the product of an evolution so there is no initial low entropy, then the second-law doesn't hold." My model is based on the evolution of a single field, and I've been unable to resolve this question. Your essay helps me to think about these issues.
Like you, (and Calabi) I consider that a gravitational field can exist in space. In fact I consider it to define space. If one considers a field with (effectively) infinite density than one might view this as negative (binding) energy. If the field is expanding in all directions, then the 'motion' of the expanding field energy may be viewed as positive kinetic energy. If the energy of the expanding field equals energy of the initial configuration, then it would seem that the 'big bang-like' system could exhibit the zero energy of the 'self-creating universe'
And, although I understand your analogy with money, it is abstract when applied to a universe which one cannot "stand outside of". From within, the money seems quite real, as does physical reality. In reviewing your responses to Basudeba's comments, you state that the BBU lives in a time not of its own making where a SCU contains and produces all time within. Given the zero-sum BBU, it is not clear to me why these models cannot be merged. In my model the initial expanding field is perfectly symmetric and scale invariant, hence time invariant. Only when the perfect radial symmetry breaks does cyclical motion occur, effectively introducing time to a timeless system. Additionally you note: "in imposing a direction on events, gravity may be said to power time itself...".
You recognize the key part played by gravity, both as to time and mass. You state "mass cannot causally precede gravity nor the other way around. You further note that it is faulty to interpret "mass as preceding gravity."
My theory assumes that Maxwell was correct in stating that fields have energy and Einstein correct in the mass equivalence of energy, hence the aboriginal supremely dense gravity field provides its own mass. Once symmetry breaks, the vortex circulation in this field will lead to soliton-like particle creation, including the self-trapping 'confinement' of quarks, with no need for 'color' or strong force. The model, I believe, is generally compatible with Masudeba's take on the problems with QED and QCD. I also like your analysis of the Higgs.
Because you're dealing with the toughest problems in physics, the nature of creation and the nature of order, it's difficult to come up with definitive answers. But I very much like the questions you ask and the answers you give. You have inspired me to reread your earlier essays.
I hope you will find time to read and comment upon my essay.
Best regards,
Edwin Eugene Klingman