Hello there. I understand what you are saying and I sympathize.
In our world, people with more power are able to steamroll people with less power. However, this is not because reality is unfair. It is because our money is unfair.
Large, powerful nations and corporations have benefitted from an unfair money system for over 100 years and it has given them a hugely asymmetric amount of power over regular people.
Reality itself requires proof of work, and it is the most fair system that exists. No artifical system of code, logic, rules, or laws is immune to abuse, but proof of work IS immune to abuse. Nobody wins without putting in the work.
Now, today's megapowers may be able to effect more work than your poor little grandma, but this is because they have benefitted from a BROKEN and easily abused protocol: fiat money.
When fiat dies and bitcoin becomes the world reserve currency, a major rebalancing of power will take effect. The individual will be more powerful, more autonomous, and more free than ever before to affect reality, and likewise governments will be smaller, less powerful, and more dependent on serving their constituents (rather than money printing to fund whatever they want) to continue to exist.
Under this new standard, proof-of-work will be the best system to settle disputes, and I think that even today proof-of-work is the best system because it can not be cheated or abused.
You may think of a billionaire buying ASICs to do proof of work as abuse, but it is not; it is simply following the protocol, and to think that a billionaire would submit to this kind of protocol would be shocking. Billionaires don't submit to any rules. They have blood-soaked fiat money to do whatever they want, rape whoever they want, kill whoever they want, and buy whatever they want. But when that power runs out, they will have no option. They will have to do proof-of-work just like everyone else. This is why proof-of-work is fair, and why reality is ultimately fair, even though our money is broken and allows for much injustice.
Early adopters of bitcoin and proof-of-work will benefit disproportionately in the new age because they will have established themselves and mastered the new way of securing value. If a billionaire's money is worthless, they can't buy any ASICs at all.
Likewise, proof-of-work allows people from anywhere to ban together for a common cause. People can fight back permissionlessly and rehash your grandma's farm back into its' rightful plot in cyberspace. Or, your grandma can pick a new plot somewhere nice. It's easier to move in cyberspace than on Earth 😀 But personally, I'd rather hash it out. Let me know if anyone ever messed with your grandma and I'll hash on her behalf.