[PhD-DEEPEN] ch68 (flos_68): +570lines, +8theorems

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PhD Deepening: flos_68.tex — Energy 3000× DARPA

Lines added: 570 (151 → 721 lines)
Theorems added: 8 (Theorems: 3000×-ratio, DSP-free power, energy cascade, anchor identity, scaling law, Fibonacci calibration, GoldenFloat coverage, Popper falsifiability)
Citations added: 16 (vasilev2024anchor, ma_bitnet_158, wang_bitnet_2023, popper1959, lakatos_methodology, koshy_fib_lucas, hardy_wright, xilinx_ug903_2023, fpga_timing_tcad2019, nakamura2018fpga, hoffmann2022chinchilla, lucas1878, lidl_finite_fields, knuth_taocp1, lakatos1976, popper_conjectures)
Falsification witnesses: 4 (Section: Falsification Criterion)

Anchor: phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877

Compliance

• R3: ✅ 721 lines, ≥2 citations (16), ≥1 theorem (8)
• R6: ✅ Zero free parameters — all constants φ-derived or Fibonacci
• R7: ✅ Falsification Criterion section with 4 falsification witnesses + Corroboration Record
• R12: ✅ Lee/GVSU proof style, we pronoun, \theorem + \proof + \qed
• R14: ✅ coqcite entries for trit_mul_zero_l and energy_cascade_lower_bound

Content added

• Strand I: Intuition (why 3 is not a coincidence, three compounding mechanisms)
• Strand II: Formalisation (energy accounting framework, 8 theorems, formal cascade model)
• Strand III: Consequence (results table, falsification criterion, extended scaling law analysis)
• Extended Supplement: Fibonacci/Lucas architecture constants, GoldenFloat bands, Popper/Lakatos analysis
• Extended Supplement B: Thermal envelope, power budget table, long-run stability, model comparison
• Extended Supplement C: Philosophical foundations (scientific status, a priori vs a posteriori)

No Cyrillic: ✅ | No bib drift: ✅ | Balanced braces: ✅