hbar
plain-language theorem explainer
The definition supplies the numerical value of the reduced Planck constant in SI units for anchoring bridge structures. Researchers constructing recognition length from empirical constants cite it to calibrate lambda_rec and related identities. The implementation is a direct constant assignment drawn from CODATA.
Claim. The reduced Planck constant is defined by the numerical value $1.054571817 times 10^{-34}$ in joule-seconds.
background
The module derives computation limits from temporal discreteness (tick as minimum time quantum), irrationality of phi blocking exact finite simulation, Landauer erasure energy, and the Bremermann bound E t greater than or equal to hbar over 2. Upstream results supply the matching RS-native form hbar equals phi to the minus five in energy times time units, together with the CODATA numerical value. BridgeData then packages this hbar alongside G and c to enable downstream length calculations.
proof idea
One-line definition that directly assigns the CODATA numerical value to the real constant.
why it matters
The definition populates BridgeData, which feeds lambda_rec and the dimensionless identity (c cubed lambda_rec squared) over (hbar G) equals one over pi. It supplies the empirical calibration that links the RS-native hbar equals phi to the minus five to physical units, supporting the eight-tick octave and spatial dimension derivations. Downstream lemmas reuse its positivity assumption without further justification.
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