Synthesis

Hi Emiddio,

The title seemed promising for OPG, but del Santo and Gisin resort to hiding subjectivity inside information theoretic abstractions: e.g. with these definitions:

propensity quantifies the tendency or disposition of the jth binary digit to take the value 1.

finite-information quantity (FIQ) is an ordered list of propensities {q1,q2,··· ,qj,···}, that satisfies:
1. (necessary condition): The information content is finite, i.e. ∑j Ij < ∞, where Ij = 1−H(qj) is the information content

of the propensity, and H is the binary entropy function of its argument. This ensures that the information content of FIQs is bounded from above;
2. (sufficient condition): After a certain threshold, all the bits are completely random, i.e. ∃M(t) ∈ N such that qj=1, ∀j>M(t)

I think del Santo and Gisin are merely addressing a symptom, not getting at the heart of the matter, as do Whitehead, Deleuze and Guattari, David Morris, Noah Brender, Mike Epperson in their quite diverse work.  I do not mean to conform these friends by naming them in one sentence. :)

Physics without determinism: Alternative interpretations of classical physics
Flavio Del Santo and Nicolas Gisin
Phys. Rev. A 100, 062107 – Published 5 December 2019

Classical physics is generally regarded as deterministic, as opposed to quantum mechanics that is considered the first theory to have introduced genuine indeterminism into physics. We challenge this view by arguing that the alleged determinism of classical physics relies on the tacit, metaphysical assumption that there exists an actual value of every physical quantity, with its infinite predetermined digits (which we name principle of infinite precision). Building on recent information-theoretic arguments showing that the principle of infinite precision (which translates into the attribution of a physical meaning to mathematical real numbers) leads to unphysical consequences, we consider possible alternative indeterministic interpretations of classical physics. We also link those to well-known interpretations of quantum mechanics. In particular, we propose a model of classical indeterminism based on finite information quantities (FIQs). Moreover, we discuss the perspectives that an indeterministic physics could open (such as strong emergence), as well as some potential problematic issues. Finally, we make evident that any indeterministic interpretation of physics would have to deal with the problem of explaining how the indeterminate values become determinate, a problem known in the context of quantum mechanics as (part of) the “quantum measurement problem”. We discuss some similarities between the classical and the quantum measurement problems, and propose ideas for possible solutions (e.g., “collapse models” and “top-down causation”).