The identity that a split preserves is market capitalization. A company's market value is its share price multiplied by its shares outstanding. A split multiplies one of those and divides the other by the same factor, so the product is unchanged. A holder of 100 shares at $200 has $20,000 before a 2-for-1 split and 200 shares at $100, still $20,000, after it. Ownership percentage is unchanged too, because everyone's share count scales identically. This is the sense in which a forward split is cosmetic: nothing about the business or the investor's claim on it has moved.
Reverse splits carry a signal that forward splits do not. A forward split usually accompanies a rising price and is often read as management confidence, though the split itself adds nothing. A reverse split does the opposite arithmetic, combining shares to raise the price, and it is most often used by a company whose share price has fallen far enough to risk breaching a stock exchange's minimum-price listing requirement. Lifting the price back above that threshold avoids delisting. So while the mechanics are symmetric, a reverse split frequently signals a company in trouble, and it does not cure the trouble, it only relabels the price.
Per-share numbers adjust, which matters for any comparison across the split. Because the share count changes, every per-share figure changes with it: earnings per share, dividend per share, and the share price in historical charts are all restated on a split-adjusted basis so the series stays continuous. A dividend of $2.00 a share before a 2-for-1 split becomes $1.00 a share after it, with the total dollars a holder receives unchanged. Comparing a pre-split figure to a post-split one without adjusting for the ratio invents a change that did not happen, which is the main practical error a split causes.
It is not a taxable event. Because a split neither distributes cash nor changes the value of a holding, it triggers no tax. The holder's total cost basis stays the same and is simply spread across the new number of shares, so the basis per share changes while the basis of the whole position does not. Tax arises only later, when the shares are actually sold.