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de Sitter Lab Interactive route through static patches and cosmological capacity. Paper summaries HTML summaries of the OPH paper stack. Reverse Engineering Reality Book route into de Sitter horizons and OPH cosmology.
Observer Patch Holography

Cosmological constant derivation.

OPH's cosmological constant derivation is a screen-capacity statement. The cosmic record-capacity fixed point is the global size parameter of the de Sitter observer patch.

The zero-input closure is N_CRC = F(N_CRC), followed by Lambda_CRC = 3 pi / (G N_CRC). For the observed late-time horizon, OPH cites a bare radius-squared count near 1.05 x 10^122 and an entropy capacity near 3.31 x 10^122.

This is not presented as a local vacuum-energy calculation. It is OPH's global-capacity branch: local patch reconstruction leaves the metric term open, and the unique stable self-read fixed point closes it globally.

Informally, N_CRC says that outside total horizon capacity must equal inside observer-accessible public record capacity. The universe is a self-reading object: observers inside infer geometry, horizons, entropy, Lambda, history, and records from information available inside the universe.

Cosmological constant derivation de Sitter screen capacity Dark energy Quantum gravity
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Why de Sitter is the natural OPH screen

A de Sitter static patch gives an observer a finite cosmological horizon. That horizon has area, temperature, and finite entropy. For OPH, this makes it the natural cosmological screen: no observer has access to the whole universe at once, and the horizon bounds the data available to that observer.

The book route states the intuition directly: the de Sitter horizon is the natural holographic screen because finite observers live inside finite causal patches.

What Lambda means in the OPH branch

In the OPH account, Lambda is not one more local coupling. It is the global capacity datum of the screen. Local null-modular probes reconstruct stress-energy only up to the metric-proportional term, so the cosmological constant enters as the residual global scale.

The phrase cosmological constant derivation therefore names a capacity relation, not a claim that ordinary vacuum-energy estimates suddenly become small.

Where To Inspect

Follow the de Sitter path through book, lab, and papers.

Lab route

de Sitter and gravity

The lab route shows how the cosmological horizon and gravity branch sit in the interactive OPH derivation map.

de Sitter Gravity Synthesis
FAQ

Short answers for search readers.

How does OPH derive the cosmological constant?

OPH treats the cosmological constant as a global screen-capacity readout. The zero-input closure is the cosmic record-capacity fixed point N_CRC = F(N_CRC), followed by Lambda_CRC = 3 pi / (G N_CRC). Informally, N_CRC is the point where outside total horizon capacity and inside observer-accessible public record capacity agree without deficit or slack.

Is this a local vacuum-energy calculation?

No. OPH separates the cosmological constant from local particle-physics couplings. It is described as global capacity data associated with the de Sitter static patch.

What number does OPH use for screen capacity?

For the observed late-time de Sitter horizon, OPH cites a bare radius-squared count around 1.05 x 10^122 and an entropy capacity N_scr around 3.31 x 10^122.