Dear Professor Price
I will try to show concrete difference between the 2 approaches:
Parmenides and Heraclitus.
Suppose two options with the same content:
1. The written book (past,present,future)
2. The audio-recording of the same book.(We live in the listeniing regime,CD now spinning, rotates)
Written is Parmenides.
Audio-recording is Heraclites.
At first sight two approaches, Parmenides(book) and Heraclitus(audio-book) in a one picture seems as a schizophrenia. As Niels Bohr said:
"There are trivial truths and the great truths. The opposite of a trivial truth is plainly false. The opposite of a great truth is also true."
The Complementarity is also applicable here as well.
It seems to me Julian's approach look like Parmenides.
Let's look at the dilemma Parmenides vs Heraclites on the other side, namely, deterministic and probabilistic approach.
Here, the first relates to determinism, the second to the randomness and free will.
As one wise man told "Randomness is lack of our Knowledge."
Advantage of Parmenides is knowledge of whole book.
Advantage of Heraclites is hearing of sounds of audio-book in concrete moment and free will and enjoy it.
Aharonov's fair view, he says, "is somewhat Talmudic: everything you're going to do is already known to God, but you still have the choice."
Just in case."Everything in the future is a wave, everything in the past is a particle.(Dyson)
Only posible reconcilation between Parmenides and Heraclites is the Cyclic Universe in modern Penrose version of old Heraclitus version.
IMHO all is flow in one cycle,but all cycles repeat itch other,despite the violation of 2 law of thermodynamics.We don't now duration of one cycle and whether it makes sense asked this question.Does the Universe is hologram?
I would like reminding you one quote: "If we are going to restore causality, we shall have to pay for it and now we can only guess what idea must be sacrificed."(P.A.M. Dirac, Directions in Physics, 1978) Lectures delivered during a visit to Australia and New Zealand August-September 1975
My concept of time can explain, why some time we must forget about time.
To my opinion i guess what supposed to be Dirac. "Time" is the name of Sacrifice .
All the best