How do you define the word Evolution?

Biological evolution, simply put, is descent with modification.
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The central idea of biological evolution is that all life on Earth shares a common ancestor

Let us now look at the surviving meanings of evolution in order of increasing exactness, along with the names of some of the scientists with whom the ideas are associated (Bowler 1983, 1984; Mayr 1982; Mayr and Provine 1980; Ruse 1979/1999; see Figure 3).I take the broadest definition of biological evolution to be:Transmutation (descent with modification): This is the notion that new species emerge from existing species and that all existing species are the product of change in older ones. Early transmutationists: Lamarck, Erasmus Darwin (Charles's grandfather), Saint-Hilaire, Robert Chambers (author of theVestiges of Creation, first published in 1844), and Charles Darwin. This view was common by the 1830s, and Darwin did not invent the idea.A slightly narrower conception of evolution:Common ancestry: Related species have changed from a common ancestor species; that is, the reason that species are similar and are related in classification is because they have evolved from a shared ancestral species. This is also called phylogenetic change, or more simply, phylogeny. In a limited way, both Lamarck and Erasmus Darwin proposed common ancestry, but the first complete account was propounded by Charles Darwin.Narrower still:Biogeographic distribution: Related species arise as geographic neighbors; this is the view that no new species arises except in close contact with its most related species. This view was proposed by Alfred Wallace and Charles Darwin. Of course, the fact that new species arise as biogeographic neighbors is explained by common ancestry, but Wallace formulated this model before the common ancestry model was published.

Evolution is a broad, well-tested description of how Earth’s present-day life forms arose from common ancestors reaching back to the simplest one-celled organisms almost 4 billion years ago. It helps explain both the similarities and the differences in the enormous number of living organisms we see around us.

The carbonaria mutation was in fact a "jumping" piece of DNA, called a transposon, which had inserted itself into a gene called cortex.
These odd sequences more often have a damaging effect when they disrupt an existing gene.

Evolution is simply change over time.

The allele-frequency definition, if adequate, would leave us unsatisfied that evolution really had been explained.

Eli Minkoff (1983: 575) consolidated the contemporary understanding this way:EvolutionOriginally, a synonym for ontogeny....
According to Lamarck and his contemporaries, the unfolding of (evolutionary) potentials as each species ascends the scala naturae.
From 1809 on, the transformation of one species into another; phyletic evolution.
According to many geneticists..., changes in the gene frequencies of populations.
Anagenesis plus cladogenesis. Phylogeny and the changes in gene frequencies that produce phylogenetic change.In the nearly two decades since the publication of Minkoff's book, there have been many exciting developments in evolutionary research. Models of evolutionary change based on our emerging understanding of developmental and regulatory genes, transposons, somatic hypermutation, endosymbiosis, and other previously unrecognized mechanisms for producing and maintaining biological variation present exciting new opportunities for evolutionary biology. Although the precise role and contribution of each of these mechanisms to the pattern of evolutionary change is still unfolding, it is certain that they will add to a fuller understanding of evolution as well as a new definition of evolution that incorporates these mechanisms.

Let us consider a not uncommon evolutionary event. A population of bacteria is exposed to an antibiotic. A mutation arises conferring immunity.

Common sense like if you drop two cannonballs, one twice as heavy as the other, the heavier one should fall faster? That is not what actually happens.

Is there any empirical evidence that the alleged post-toxin mutations occur, ...?

I am aware that abiogenesis is not evolution,