This brief and simplified suggestion is to discern the following paragraphs " ... In a 1976 paper3, using the language of operators, Connes asked whether quantum systems with infinitely many measurable variables could be approximated by simpler systems that have a finite number." ... "... But the results probably do not have technological implications, Wehner says, because all applications use quantum systems which are ‘finite’. In fact, it could be difficult to even conceive an experiment that could test quantum weirdness on an intrinsically ‘infinite’ system, she says ..." from the following essay https://www.nature.com/articles/d41586-020-00120-6. And as well as to complement the research or the scientific quest:
Perhaps there are circumstances that infinite system has been tested without the knowing of scientists. However, the most obvious are through the human living experience such as in dream, OBE, NDE, and shared OBE and NDE where the many sentient composite body-mind system is intertwined and entangled with the infinite cosmos. Since these human conditions and living experience have been either neglected and or suppressed over the millenniums, they are still being considered as hidden and forbidden knowledge and practices or being neglected and suppressed. However, such living perception and experience can be analyzed and validated through the scientific method and process. And for which there are already much existing empirical data.
In actuality or reality, nothing has its own intrinsic inherent independent existence as had discerned in diverse ways in past discernments (i.e. all are interdependent and interconnected or entangle as fractal parts of sum of parts of the greater whole). In simple words, based on philosophy and science of "Dependent and Independent Origination" and "Dependent and Interdependent Arising" that are based on the essence, nature, and ground of being. And nature. And therefore, all are parts of infinite cosmos from the infinitely finite to the infinitely infinite. And as well as to complement the following research http://backreaction.blogspot.com/2020/01/how-to-test-quantum-gravity.html. In other words, the human body-mind or many sentient composite body-mind system is presently the only instrument or mean on earth that can achieve possibilities mentioned. And as validated through naturalness-spiritual empirical data over the millenniums such as in philosophy and science of "Dependent and Independent Origination" and "Dependent and Interdependent Arising" that are based on the essence, nature, and ground being. And nature.
Furthermore, infinity implied open system. And open system implied infinity. Therefore, processes and mechanisms of life and existence such as evolution, emergence, and optimization would not be possible without an open infinite system. This is basically science of entropy-negentropy and information. And can be easily validated theatrically and empirically (i.e. for example, validate that closed system is finite. And therefore, limited. And which cannot expand beyond certain limits).
This brief and simplified suggestion is to inspire and encourage such scientific quest for well being and common and greater good. And as well as for the betterment of all in the known physical world. And far beyond.
Epistemology of Life and Ontology of Existence Foundation and Institute