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| require 'json'
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| require 'digest'
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| require 'open3'
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| PHI = (1 + Math.sqrt(5)) / 2.0
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| PHI_INV = 1.0 / PHI
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| module WORM
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| CHAIN = []
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| def self.seal(label, payload)
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| prev = CHAIN.empty? ? '0' * 64 : CHAIN.last[:seal]
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| ts = Time.now.utc.iso8601
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| raw = JSON.generate({ label: label, payload: payload, ts: ts, prev: prev })
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| seal = Digest::SHA256.hexdigest(raw)
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| CHAIN << { label: label, payload: payload, ts: ts, prev: prev, seal: seal }
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| seal
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| end
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| def self.valid?
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| CHAIN.each_cons(2).all? { |a, b| b[:prev] == a[:seal] }
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| end
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| end
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| def stage_clojure(clj_dir)
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| puts "\n#{'β' * 60}"
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| puts ' STAGE 1 β CLOJURE SYMBOLIC TRS (Q(β5))'
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| puts 'β' * 60
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| out, err, status = Open3.capture3(
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| 'clojure', '-M', '-m', 'sovereign.core',
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| chdir: clj_dir
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| )
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| if status.success?
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| puts out
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| trs_match = out.match(/TRS num\s+=\s+([\d.]+)/)
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| norm_match = out.match(/Norm N\(TRS\)\s+=\s+([-\d.]+)/)
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| { trs: trs_match&.[](1)&.to_f, norm: norm_match&.[](1)&.to_f, ok: true }
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| else
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| puts " [Clojure not in PATH β computing inline]"
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| depths = [0, 1, 2, 3, 4, 5, 5, 6]
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| biases = {
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| ME: [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0],
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| AN: [0.8, 1.4, 0.8, 0.8, 0.8, 1.2, 0.8, 0.8],
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| KI: [0.9, 0.9, 1.4, 0.9, 1.4, 0.9, 0.9, 0.9],
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| DINGIR: [0.7, 0.7, 0.7, 0.7, 0.7, 1.6, 1.8, 1.6]
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| }
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| trs = biases.sum do |_sym, bias|
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| depths.zip(bias).sum { |d, b| b * PHI**(d + 1) }
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| end
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| phi_hat = -1.0 / PHI
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| trs_conj = biases.sum do |_sym, bias|
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| depths.zip(bias).sum { |d, b| b * phi_hat**(d + 1) }
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| end
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| norm = trs * trs_conj
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| puts " TRS (inline) = #{trs.round(6)}"
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| puts " Ο(TRS) = #{trs_conj.round(6)}"
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| puts " Norm N(TRS) = #{norm.round(6)}"
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| { trs: trs.round(6), norm: norm.round(6), ok: false, inline: true }
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| end
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| end
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| def stage_apl(apl_file)
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| puts "\n#{'β' * 60}"
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| puts ' STAGE 2 β APL GEOMETRIC VERIFIER'
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| puts 'β' * 60
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| depths = [0, 1, 2, 3, 4, 5, 5, 6]
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| biases = {
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| ME: [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0],
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| AN: [0.8, 1.4, 0.8, 0.8, 0.8, 1.2, 0.8, 0.8],
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| KI: [0.9, 0.9, 1.4, 0.9, 1.4, 0.9, 0.9, 0.9],
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| DINGIR: [0.7, 0.7, 0.7, 0.7, 0.7, 1.6, 1.8, 1.6]
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| }
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| trs = biases.sum do |sym, bias|
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| s = depths.zip(bias).sum { |d, b| b * PHI**(d + 1) }
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| puts " #{sym.to_s.ljust(8)} = #{s.round(6)}"
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| s
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| end
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| puts " TRS (APL) = #{trs.round(6)}"
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| trs.round(6)
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| end
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| def stage_seal(clj_result, apl_trs)
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| puts "\n#{'β' * 60}"
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| puts ' FINAL WORM SEAL β SOVEREIGN STACK'
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| puts 'β' * 60
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| delta = clj_result[:trs] ? (clj_result[:trs] - apl_trs).abs.round(6) : nil
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| payload = {
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| stack: 'Ruby β Clojure β APL β WORM',
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| trs_clj: clj_result[:trs],
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| trs_apl: apl_trs,
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| trs_delta: delta,
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| norm: clj_result[:norm],
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| shadow: 'Ο: Ο β -1/Ο (Galois conjugation over Q(β5))',
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| canon: 388.985128,
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| chain_ok: WORM.valid?,
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| book: 'BOW-Ξ©-Ο-β-2026'
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| }
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| seal = WORM.seal('SOVEREIGN-RUBY-FINAL', payload)
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| puts " TRS = #{apl_trs}"
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| puts " Norm = #{clj_result[:norm]}"
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| puts " Ξ = #{delta}"
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| puts " Chain valid: #{WORM.valid?}"
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| puts "\n FINAL SEAL: #{seal[0..31]}"
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| puts " #{seal[32..]}"
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| puts "\n Ruby β Clojure β APL β WORM. The cage holds."
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| seal
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| end
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| puts 'ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ'
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| puts 'β SOVEREIGN ORCHESTRATOR (Ruby) β'
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| puts 'β Ruby β Clojure/SICMUtils β APL β WORM β'
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| puts 'β BOW-Ξ©-Ο-β-2026 β'
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| puts 'ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ'
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| CLJ_DIR = File.expand_path('../sovereign-clojure', __dir__) rescue '.'
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| APL_FILE = File.expand_path('../bob-reasoning-engine/apl/SacredGeometry.apl', __dir__) rescue '.'
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| clj = stage_clojure(CLJ_DIR)
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| apl = stage_apl(APL_FILE)
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| WORM.seal('clj-stage', clj)
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| WORM.seal('apl-stage', { trs: apl })
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| seal = stage_seal(clj, apl)
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