OPH IN 60 SECONDS

OBSERVERS FIRST

Many people suspect we live in a simulation. Observer Patch Holography describes how it works, and it starts with the observers.

Each one holds a small patch of the world and keeps records, and together they form a network.

AGREEMENT

Where patches overlap, they have to agree.?What agreeing means. Each observer patch i has a finite local state s_i. Each overlap e = {i, j} has an interface alphabet I_e and two interface projection maps π_i,e: S_i → I_e and π_j,e: S_j → I_e. The patches agree on e exactly when π_i,e(s_i) = π_j,e(s_j), and a state is consistent when this holds on every overlap. A gauge change γ_i alters only the hidden local representation and leaves overlap data fixed: π_i,e(γ_i·x) = π_i,e(x). So states are compared on the quotient Σ/Γ, where two states that differ only by gauge are one physical state. Disagreement is the potential Φ(s) = ∑_e w_e d_e(π_i,e(s_i), π_j,e(s_j)), which is zero exactly on consistent states. Every accepted repair lowers it, and the repairs end in one normal form on the quotient, whatever their order.Reality as a Consensus Protocol: Patch net, Gauge action, Gauge quotient theorem. A new record creates disagreement, and the repair runs from neighbour to neighbour, a chain reaction that settles into a new equilibrium. That is how everything evolves.

TWO VIEWS

Some twists can never be repaired away. The simulation rebuilds such a twist one place over, again and again, and nothing travels.

Observers read out spacetime, the meaning they give to the records they agree on, and see a particle?What a particle is. A defect: a small twist in the agreement that no order of repair can remove, together with a record saying it is there. Two defects can meet and cancel, and nothing else removes one.
Mass. Keeping the twist costs something on every cycle, because flattening it would open larger disagreements at its edge than it closes inside. Repair works on it at every event and gets nowhere. The size of that bill is the mass. It resists a push and it bends the geometry around it, one quantity read twice.
Motion and direction. Nothing travels. The twist is rebuilt at the next place and handed on, the way a wave crosses a lake while the water stays where it is. The direction is the way it is handed on. Momentum is what the moving arrangement carries, and it is conserved because the repair rule treats every seam the same. With nothing pulling, the pattern goes on going.The OPH book, chapter 35. moving smoothly?Why a Lagrangian describes the motion. Each repair step is local, memoryless and strictly positive: it depends only on the configuration it stands in, ignores how that configuration came about, and forbids nothing outright. The odds of a whole history are then the product of the odds of its steps. A logarithm turns that product into a sum, one term per step, each depending only on where its step started and ended. That running total is the action, and the term per step is the Lagrangian.
A history with the smallest total is the most probable one, and a history whose total does not change when you wiggle it, holding the ends, is locally most likely. Least action and maximum probability are two readouts of one thing. No step looks ahead; the global-looking selection comes from multiplying local odds. The Lagrangian’s sensitivity to speed is the momentum.The OPH book, chapter 31., with spacetime curving around it. That is gravity.?What a force is. A steepness. When the agreement around a twist falls off more steeply on one side, the twist is rebuilt slightly off-centre on each cycle, toward the steep side. How far off-centre is the force.
Gravity. The standing cost that is a particle’s mass also bends the geometry around it. Balancing the geometry against the cost of what sits in it gives an equation of exactly Einstein’s form.
Light. A ripple with no core. It has nothing to maintain, so it runs up no standing cost, has no mass, and moves at the fastest speed the repairs allow.The OPH book, chapter 35.

NO OUTSIDE

It runs as an ordinary program on a holographic screen, and the universe has to contain the observers who work out its rules and build that screen. It reads itself into existence.

THE WHOLE THEORY

One hypothesis, no outside, and agreement. That is the whole theory.