Difference between Phenomenal and Phenomenological in the Context of Physics I was going through a conference presentation on System of Systems Engineering. In the presentation entitled "Macroscopic Quantum Mechanics and the SoSE Design Approach", I came across a slide distinguishing classical observation as a phenomenal and quantum observation as phenomenological.
This is the slide which i am talking about:

I would like to know the difference between these two in the context of physics.

Links to Presentation and Outline:
Abstract : https://iitk.ac.in/eeold/archive/courses/2009/system_of_systems/indous2/topics.html#T21
Outline: http://insist.ac.in/images/publication/pub-2009-02abs.pdf
Presentation: https://www.yumpu.com/en/document/read/52736479/and-the-sose-design-approach

This is quite a broad question but I would like to know different answers from different fields in physics.
 A: The two terms are more philosophical than physical. This is to say that, although philosophy plays an important role in interpreting physical phenomena, neither term has a precise meaning in physics, and there will be necessarily divergent opinions expressed on this site.
Phenomenological  in physics usually refers to building mathematical models with primary stress on correctly describing the observed phenomena (experimental measurements), rather than constructing models from the first principles. The most well-known example is thermodynamics and statistical mechanics: thermodynamics is a phenomenological theory relating several macroscopic quantities (pressure, volume, temperature, etc.), whereas statistical mechanics is trying to derive the thermodynamical laws from the microscopic equations of motion. Landau theory of phase transitions, London equations for superconductors, Laughlin's theory of quantum Hall effect are all examples of phenomenological theories - they postulate some properties (like Landau free energy or Laughlin wave function) which allow deriving correct relations between measured macroscopic quantities. In some cases (and usually later chronologically) these postulates can be justified by microscopic derivations.
Quantum theory is phenomenological in the sense that it postulates laws and equations that are not directly observable. As such, one could, in principle, formulate quantum mechanics using a completely different mathematical approach, as long as it produces the same results (in fact, originally the Heisenberg's matrix mechanics and Schrödinger's wave mechanics were two competing theories). One however rarely refers to quantum theory as phenomenological nowadays, reserving the term for the description of macroscopic properties.
Phenomenal means perceptible through senses and immediate experience, which quantum mechanics is clearly not. In the context described in the question phenomenological is referred to this aspect of QM: not directly observable, but conjectured to explain the observations.
