"Do you mean you racked it to a secondary vessel? Unless you added something, there really is no "second ferment"."
In one way you are right and in another way you are wrong and neither have anything to do with adding something.
Home made beer produced from grain or syrup is glucose laden and due to being glucose laden there is no need for transferring the beer into a second fermentation vessel. Yeast, during primary fermentation rips through glucose and for that reason the beer has to be primed or artificially carbonated.
When grain is used along with a maltose rest, Beta converts glucose which is released when Alpha liquefies amylose, converting it into maltose and malto-triose. The non reducing end is glucose. From the reducing end sweet tasting, non-fermenting, sugar is released. Starch does not convert into sugar. The idea has misled many, the true term used in the brew house is mash conversion. Simple sugar is converted by Beta into a more complex type of sugar, disaccharide and trisaccharide. Enzymes hydrolyze (liquefaction) starch. Starch is only the container which holds the sugar and enzymes release the sugar by liquefaction. During the high temperatures that many all grainers use, the wort becomes sugar imbalanced. For enzymes to work harmoniously during a single temperature, single pH, single rest period method, the malt would have to be enzymatically balanced and malt of that nature does not exist. High modified, high protein malt is less rich in enzymes and low in sugar content. The enzymes that work during low temperature are kilned out or are very weak and at high temperature the enzymes denature rapidly. The single infusion method works because the malt is enzymatically depleted and to purchase expensive, high quality malt and use it with the single method is a waste of money. To use enzyme deficient malt with the tri-decoction method is a waste of time.
During second fermentation a type of conversion takes place. Yeast absorbs maltose through the cell walls and from within, maltose is converted into glucose. The yeast expels the glucose which becomes fuel and gravity decreases. During conditioning the yeast absorbs malto-triose and coverts it into glucose and natural carbonation occurs. Since, the beer is void of oxygen, the oxidizer is bound within the molecular structure of the sugar.
The white stuff is Gram N bacteria. Gram N strikes during second fermentation. A white ring or oil slick in the bottle is an indication of Gram N bacteria. Gram P bacteria settles in during primary fermentation.