The Invalidity of the Novus Ordo, in Brief
Sacraments signify what they effect, and effect what they signify. The chief thing which must be signified, according to Pope Leo XIII in Apostolicae Curae, is the "res tantum" - the "reality", the "grace proper" of the sacrament. In the Sacrament of the Holy Eucharist this "reality" or "grace proper" is the unity of the mystical body. (The Real Presence is "reality and sign" or "res et sacramentum", not the "res tantum").
This signification is found in the words "for you and for many unto the remission of sins" - the "you and many" refer to the members of the Mystical Body, and the "remission of sins" is the cause of their unity. The Novus Ordo says "for all" and consequently fails to signify the Mystical Body or its unity. Hence the Novus Ordo fails to signify what it is meant to effect, and is by definition invalid. That is, it is no sacrament at all.
September 24, 1998
Feast of Our Lady of Ransom