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IndisputableMonolith.Cosmology.EarlyUniverse

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The EarlyUniverse module identifies the Big Bang with the unique zero-defect initial state in Recognition Science. It treats this configuration as the minimum-cost ledger rather than a singularity. Cosmologists studying initial conditions would cite the module for its resolution of the low-entropy puzzle. The content assembles results from LawOfExistence and InitialCondition into cosmology-specific statements on the starting configuration.

claimThe initial state $s_0$ satisfies defect$(s_0)=0$ and realizes the minimum J-cost configuration, serving as the Big Bang initial condition.

background

Recognition Science derives physics from a single functional equation. The Law of Existence module states that x exists if and only if defect(x) = 0. The InitialCondition module formalizes the Past Hypothesis by showing that low entropy corresponds to this zero-defect state. Constants fix the fundamental time quantum as τ₀ = 1 tick in RS-native units.

proof idea

This is a definition module, no proofs. It organizes imported theorems from Cost and LawOfExistence into cosmology declarations such as initial_state_is_zero_defect.

why it matters in Recognition Science

The module provides the starting point for the DarkEnergyEvolutionStructure module, which examines whether dark energy remains constant or evolves according to D-006. It completes the early-universe segment of the Recognition Science cosmology framework by grounding the initial condition in the minimum-cost state.

scope and limits

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (4)

Lean names referenced from this declaration's body.

declarations in this module (6)