As one or two others have said, the Church’s definition does not depend on any particular understanding of the physical world. As far as it relies on any other branch of knowledge, it uses ( but is not dependet on ) the metaphysical explanation given by Thomas Aquinas ( you can study this in his Commentary on Aristotle’s Metaphysics, which you can find here:
dhspriory.org/thomas/english/Metaphysics4.htm#2. It would be best to begin with Book lV.
In a nut shell, a Substance is any thing which has a nature or essence that has an actual existence. Physical substances are essences ( or natures ) which exist in a particular matter ( the " matter " of a horse or a man or a chunck of coal for example).
But you cannot see this substance. It has matter informed by a specific form ( horse, man, coal, etc.). And all the properties, powers, etc. associated with this substance is what you see and measure, sense, etc. Aristotle and Thomas both call these accidents because they are essential and they exist in the Substance.
They do not exist without the substance.
What the Church says is that this substance is changed completely into the body and blood of Christ. But all the accidents remain, but they remain all alone, they no longer have a substance in which they inhere. There are two miricals here. First the substances of the bread and wine are changed into the Body and Blood of Christ. Secondly, the accidents of bread and wine remain, but in no substance or subject. The latter is a miracle because it is the only instance in which accidents exist, but in no subject.
The Catechism of the Catholic Church explains the basic truth but does not go into such detail.
I should add that both Aristotle and Thomas spoke of First Substance and Second Substance. I always get them mixed up, but one refers to the Substance mentioned above, which cannot be seen or measued and the other to the individual thing that you can actually touch, measure, etc. (
metafysica.nl/subenac.html ).
But in Transubstantion, the whole substance ( first and second ) of the bread and wine ( first and second substance both, but without the accdents ) are changed into the whole substance of Christ ( both his first and second substances ), including all of his accidents, size, limbs, hair, human soul with all its attributes, and his Divinity as well. Thomas explainsi in the S.T. ( under the Real Presence ) that this is done, " according to the manner of the Sacrament. " You have to remember that we are speaking of Christ’s glorified body which is not limited or constrained by earthy limitations such as space and time. I don’t pretend to understand how this happens, but we believe that it is so.
I’m pretty sure the Church will never address this Definition again except by way of Chatechesis.
Linus2nd