Energy source E = infinity for entropy defeat
The universe's internal energy is finite. [[063_BC6_Infinite-Energy-Source|BC6]] claims the source that sustains the universe is infinite. The Logos is outside the thermodynamic system, providing negentropy from beyond. Like a heater powered from outside a closed room can warm it indefinitely, the Logos powers creation from outside creation's energy budget.
Conservation applies within closed systems. If the universe is an OPEN system (coupled to the Logos), energy can flow in from outside. [[063_BC6_Infinite-Energy-Source|BC6]] is about the external source's capacity, not the internal system's total. The source must be infinite to sustain eternal existence; the recipient remains finite at any moment.
Not gaps but necessities. Thermodynamics proves that eternal existence requires external input (Schrödinger's negentropy). What could provide infinite negentropy? Something with infinite energy. This is logical necessity, not gap-filling. The question is: what has infinite energy? That's the Logos/God.
Vacuum fluctuations are borrowing, not creating—they pay back within Heisenberg time (ΔE·Δt ~ ℏ). Net energy gain is zero. You cannot extract sustained work from vacuum fluctuations without violating thermodynamics. The fluctuations average out; they don't provide infinite negentropy.
If existence is meaningless (terminates in heat death), then the Logos claim fails. Theophysics requires eternal meaning—coherence that persists. If heat death is final, there's no resurrection, no eternal life, no ultimate coherence. [[063_BC6_Infinite-Energy-Source|BC6]] is precisely what distinguishes Theophysics from nihilism: entropy IS defeated, through infinite energy.
Second Law: dS/dt ≥ 0. Entropy never decreases in isolated systems.
Heat death: As t → ∞, S → S_max. All energy becomes uniformly distributed thermal energy. No gradients, no work possible, no life.
Timeline: Current estimate: 10^100 years until heat death (depending on cosmological model).
The problem: How do you sustain existence beyond heat death? Not with internal resources—they're exhausted.
Theorem: Defeating entropy for time t → ∞ requires energy E → ∞.
Proof:
1. Maintaining coherence C > 0 requires continuous work W(t)
2. W(t) ≥ ε > 0 for each finite interval (Landauer minimum)
3. Total work over infinite time: W_total = ∫₀^∞ W(t) dt = ∞
4. Work requires energy: E ≥ W
5. Therefore, E → ∞ required