Pragma Pragma Cosmological Constant
Best starting points
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. Mini-Universe Simulation Observer patches, overlap readback, records, and repair in motion.
Observer Patch Holography

N readback closes the cosmological scale.

OPH’s cosmological constant proposal reads the universe's total capacity from the public records its own observers can preserve and recover. The cosmological scale is a global readback, not a local vacuum-energy sum.

OPH's official equation is N = log M0(U_N): the logarithmic capacity supplied to a trial universe equals the logarithm of the public-record count read back by its own observers. It first defines that observer-side count without Lambda: M0(q) = alpha(Gq), the maximum number of reachable public records that remain perfectly distinguishable through every authorized checkpoint. Across the whole terminal fiber the producer is set-valued, Fr,0(D) = {M0(q)}, and selector-free closure is Fr,0(D*) = {D*} with N_CRC = log D*. Only then does the independent horizon receipt give Lambda ell_*^2 = 3 pi / N_CRC and, with the scale certificate, Lambda_CRC = 3 pi / (G N_CRC).

On the highest-leverage exact branch every authorized checkpoint continuation is injective, so M0(q) = |Xreach(q)|. The problem becomes exact CSP or model counting on one finite PUBLIC_CHECKPOINT_PACKET. The remaining mathematical step is to derive s(D) = log D - log M0(D) and prove that it has exactly one physical zero.

The electroweak/Higgs hierarchy equation gives a mathematically certified bridge coordinate near 3.532 x 10^122 once the same load carrier is identified on the screen and electroweak lanes. The Lambda-located comparison is near 3.313 x 10^122, about 6.6% lower at central value. This is a stringent cross-lane test of one capacity, not a definition of the readback map.

The result is a precise self-reading universe: outside capacity and inside recoverable public record capacity are two views of the same finite carrier. The source packet, unique slack-zero theorem, horizon saturation, and common electroweak load carrier are the published completion certificates.

Cosmological constant capacity target 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.

What does OPH propose for the cosmological constant?

OPH proposes M0(q) = alpha(Gq) and robust closure Fr,0(D*) = {D*}, with N_CRC = log D*. Horizon-record saturation then gives Lambda ell_*^2 = 3 pi / N_CRC. Completion requires the finite public checkpoint packet, one physical zero of s(D)=log D-log M0(D), and the named horizon receipt.

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, the bare radius-squared count is around 1.05 x 10^122 and the Lambda-located entropy capacity is around 3.31 x 10^122. The conditional electroweak bridge value is 3.53235 x 10^122, about 6.6% higher at central value; posterior propagation remains open.