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Was Big Bang a phase transition (critical phenomenon)? If "yes", what is the order parameter and what determined the value of the order parameter chosen?

When talking about phase transitions we usually assume existence of fluctuations that affect the choice of the order parameters, but what could have determined the direction of evolution of the Universe as a whole?

Background
Wikipedia article on Big Bang mentions phase transition in two instances:

At approximately $10^{−37}$ seconds into the expansion, a phase transition caused a cosmic inflation, during which the universe grew exponentially, unconstrained by the light speed invariance, and temperatures dropped by a factor of 100,000.

and

Symmetry-breaking phase transitions put the fundamental forces of physics and the parameters of elementary particles into their present form, with the electromagnetic force and weak nuclear force separating at about $10^{−12}$ seconds.

(Emphasis is mine)

See also: Phase transitions in the early universe by Hindmarsh et al.

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    $\begingroup$ What observation do you propose to answer this question? $\endgroup$
    – John Doty
    Commented Nov 7, 2022 at 13:38
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    $\begingroup$ @JohnDoty I am asking about the theoretical description/understanding. Anderson seems to refer to it in More is Different, but I do not have relevant background to understand what he is talking about. $\endgroup$
    – Roger V.
    Commented Nov 7, 2022 at 13:41
  • $\begingroup$ @RogerVadim the reference to Anderson is interesting: where exactly? For sure, as the Universe was expanding, some phase transitions (related to spontaneous symmetry breaking) occurred, maybe Anderson was referring to this. $\endgroup$
    – Quillo
    Commented Nov 7, 2022 at 13:47
  • $\begingroup$ By "Big Bang" do you mean the point at which inflation stopped and the expansion phase we see today started? If so are you asking about the transition from inflation to non-inflation? $\endgroup$
    – John Rennie
    Commented Nov 7, 2022 at 13:52
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    $\begingroup$ @Quillo you are right, Anderson speaks of symmetry breaking in particle physics, but not really about big bang. $\endgroup$
    – Roger V.
    Commented Nov 7, 2022 at 13:57

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