SCALAR — Algebraic Quantum Scalar Fields

SCALAR — unmarked field chamber

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VISUAL SYSTEM · MINI AI LABS

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SCALAR · field

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OPEN LIVE

Open SCALAR · Mini AI Labs portal

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VISUAL SYSTEM · MINI AI LABS

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SCALAR · field

SCALAR · live algebraic field lab

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SCALAR · ALGEBRAIC QUANTUM SCALAR FIELDS

What scalar field survives the algebra?

$V_2^{\otimes 3}\rightarrow C\rightarrow K\rightarrow E_{47}\rightarrow P_{47}\rightarrow \phi$

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LAUNCH SCALAR

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SCALAR · Algebraic Quantum Scalar Fields · live interface

System role

SCALAR is the FIELD stage between FOLD and MURMURATION. FOLD asks what survives transformation; SCALAR lifts the selected finite algebra into a deterministic scalar-field visualization; MURMURATION asks how that structure moves and reorganizes.

Mini AI Labs — Advanced Research Interface · The Mathematical City — Recursive Intelligence, E47 & K47/125

Canonical finite core

$V=V_2^{\otimes 3},\qquad \dim V=125$

$C=J_{\mathrm{tot}}^2$

$K=(C-6I)(C-30I)$

$E_{47}=\ker K=E_6\oplus E_{30},\qquad \dim E_{47}=47$

$P_{47}=\text{orthogonal spectral projector onto }E_{47}$