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Method

Problem target

This topic studies whether UET can connect entropy, information cost, and dissipation benchmarks under one bridge model.

Core components

Engine components

  • Code/01_Engine/Engine_Thermodynamics.py

Proof-oriented components

  • Code/02_Proof/Proof_Entropy_Max.py

Research and comparison components

  • Code/03_Research/Proof_Vacuum_Entropy_Sink.py
  • Code/03_Research/Research_Landauer.py
  • Code/03_Research/Research_NonEquilibrium_Validation.py

Mechanism map

flowchart LR
  I["Information erasure"] --> L["Landauer lower bound<br/>E_min = k_B T ln 2"]
  L --> B["UET beta coupling<br/>energy-information bridge"]
  S["Microstate entropy proxy"] --> Z["Equilibrium trend<br/>E_A/N_A ~= E_B/N_B"]
  B --> G["Thermodynamic gravity links<br/>Bekenstein / Unruh / Hawking"]
  G --> D["0.0 integration index"]
  B --> U["0.23 Unity Scale Link<br/>scale-bridge dependency"]
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Evidence matrix

Layer Current implementation Evidence class Use in theory
Landauer identity Exact-constant calculation in engine and verifier C Supports information-energy lower-bound bridge.
Entropy/equilibrium proxy Stirling entropy proxy and stochastic contact engine D/C Useful model sandbox; needs seeded ensemble acceptance.
Bekenstein/Unruh/Hawking links Formula-consistency checks against standard identities D/C Context for thermodynamic gravity bridge; not independent UET validation.
Cattaneo heat-flux benchmark Synthetic hysteresis dataset and Euler relaxation update D Demonstrates expected lag behavior only.
Vacuum entropy sink Topic-local heuristic simulation E/D Hypothesis sandbox; cannot support core claims yet.

Variable framing

  • Primary modeled quantities: entropy, dissipated work, information cost, relaxation terms, and bridge coefficients
  • Physical-unit formulas use SI constants where available (k_B, hbar, c, G, e, h).
  • Engine entropy/equilibrium quantities are dimensionless proxies unless an explicit physical scale is introduced.

Assumptions

  • The topic currently uses selected dissipation and information-thermodynamics benchmarks rather than a universal derivation.
  • Landauer measurements are treated as lower-bound consistency checks, not exact predictions of total dissipated heat.
  • Bekenstein, Unruh, and Hawking formulas are established theoretical identities used as bridge constraints, not as standalone proof of UET.

Domain of validity

  • Selected Landauer-style and nonequilibrium thermodynamics comparisons represented in topic-local files.

Excluded cases

  • A universal proof across all thermodynamic regimes or all coarse-graining choices.
  • Direct experimental measurement of Hawking/Unruh temperatures in the regimes shown by the verifier.
  • Physical proof that the proposed vacuum entropy sink exists.

Parameter sensitivity note

  • Reported behavior depends on coarse-graining choices and selected bridge coefficients.
  • Synthetic non-equilibrium behavior depends on tau, k_cond, and the hand-built Cattaneo benchmark.

Dependency layer

Dependency Direction Status
0.0_Grand_Unification receives this topic as a bridge constraint Integration-only until this topic's external data and formula audit are source-locked.
0.23_Unity_Scale_Link depends on this topic for information-energy scale logic Must inherit 0.13 limitations where scale links rely on Landauer/Bekenstein bridge claims.
0.26_Cosmic_Dynamic_Frame may reference thermodynamic frame language Cannot use synthetic/vacuum-sink sections as empirical support.