Sell the stock then use the gains to buy the stock? I'm very confused by this.
> without having to first pay tax for the dividend
Long term capital gains and dividends are taxed at the same rate. The only tax-free way to benefit from a higher share price (that I know of) is to borrow against it.
> get their reward in the proportion of their ownership of the company going up.
Which only matters if the company pays dividends, or the shareholders eventually sell.