The Cambrian Explosion (CE) disproves the Theory of Evolution (ToE) in one fell swoop, for the following reasons:
1. ToE predicts that any multicellular organism will be preceded by evolutionary ancestors. However, all of the animals that appeared during the CE did so fully-formed, with no evidence of evolutionary links to ancestors.
There is fossil evidence of pre-Cambian life forms, but there exists no fossil evidence of evolutionary links between them and the Cambrian biota.
You might want to check out the stem-group relationships of the following:
Cnidarians
Protostomes
Arthropods
Porifera
Echinoderms
Brachiopods
To make matters worse (for ToE), fossil evidence suggests that the Ediacaran biota that preceded the Cambrian suffered a mass extinction.
Why does this make matters worse?
Likewise, there is no evidence of evolutionary links between the "small, shelly fauna" (that appeared after the Ediacaran biota and at the very beginning of the Cambrian) and the explosion of animal forms that appeared later in the Cambrian.
Yes, there are: https://www.app.pan.pl/archive/published/app39/app39-247.pdf
Gradual replacement of the Cambrian coeloscleritophoran-monoplacophoran associations by Ordovician machaeridian-gastropod and then by Silurian and later bivalve-gastropod dominated ones is evident in the series of the Meishucun-, Mójcza-, and Kok-type faunas.
This is followed by a reduction in diversity of associated organisms, starting with the anabaritids (possibly of trilobozoan or nemathelminthan affinities), through tornrnotiids (possible machaeridians), palaeoscolecid priapulids, hyoliths (with monoplacophoran-cephalopod relationships), octactinellid and receptaculitid sponges, and then the septemchitonid polyplacophorans.
This is followed by a reduction in diversity of associated organisms, starting with the anabaritids (possibly of trilobozoan or nemathelminthan affinities), through tornrnotiids (possible machaeridians), palaeoscolecid priapulids, hyoliths (with monoplacophoran-cephalopod relationships), octactinellid and receptaculitid sponges, and then the septemchitonid polyplacophorans.
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