theorem
proved
phi_forcing_principle
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IndisputableMonolith.Foundation.PhiForcing on GitHub at line 246.
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243
244This is Level 4 of the forcing chain:
245Composition law → J unique → Discreteness → Ledger → **φ** → D=3 → physics -/
246theorem phi_forcing_principle :
247 (φ^2 = φ + 1) ∧ -- Golden equation
248 (∀ r : ℝ, r > 0 → r^2 = r + 1 → r = φ) ∧ -- Uniqueness
249 (0 < J_bit) ∧ -- Minimum cost positive
250 (0 < E_coh) -- Coherence quantum positive
251 := ⟨phi_equation,
252 fun _ hr heq => golden_constraint_unique hr heq,
253 J_bit_pos, E_coh_pos⟩
254
255end PhiForcing
256end Foundation
257end IndisputableMonolith
papers checked against this theorem (showing 5 of 5)
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DESI hints at gravity coupling beyond Einstein at 3 sigma
"the signal for non-minimal coupling of gravity arises from requiring a theoretically stable phantom crossing cosmology, as indicated by the data, within the EFT framework"
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Two solar-neutrino channels can corner MeV sterile neutrinos
"The flux of νH from such decay chain is proportional to the 8B solar neutrino flux and the mixing parameter |UαH|², scaled by a mass-dependent phase-space factor"
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Black-hole scalar yields null-state equations for 4D CFTs
"There is a decoupling mechanism in the bulk perturbative series at certain conformal dimensions, resulting in isolated lower-order equations."
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A √N detuning rule shields collective quantum batteries from decay
"∆*(N) = g√(N/(2γ₀)) ∝ N^{1/2}"
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A Noble-Gas-Centered Coordinate for Within-Period Atomic Property Trends
"The choice φ = (1+√5)/2 as the argument-rescaling factor is presently a modeling ansatz, not a derived chemical constant"