QM–Relativity Unification with Information Theory
This section presents the classical partition as the structure shared by quantum mechanics and general relativity. The framework does not claim that either theory is replaced or superseded. It claims that both accommodate the same 1/3 : 2/3 partition, and that information theory provides the common reporting language.
The partition is invariant under Lorentz boost. The Standard Model's fundamental particle inventory maps onto the partition without inventing new particles. The closure identity holds across all regimes because it is an algebraic consequence of the partition, not a physical law imposed on top of it.
Why the unification is necessary
Quantum mechanics and general relativity each operate in their own domain. Neither requires the other. But when the observer is taken seriously as embedded — bounded by an aperture — both theories must accommodate the same bound. If they didn't, the bound wouldn't be a bound.
The framework states the bound once, in geometric terms, and shows that both theories inherit it. What follows is not a new physics. It is a consistent reading of the classical structure that both theories already share.
Contents
| Page | What it establishes | Tag |
|---|---|---|
| Asymptotic zero-mode transduction (Theorem II) | At common horizon birth, the stability operator loses invertibility. Internal phase dynamics collapse onto a single principal zero-mode channel, radiated as boundary power. | Derived |
| Bounded emission corridor (Theorem III) | Physical observation is strictly bounded between the Landauer bit-energy floor and the Planck/Dyson luminosity ceiling. | Derived |
| Subcoherent persistence (Theorem IV) | A Hermitian global conservation operator unifies Shannon entropy, von Neumann entropy, and Bekenstein–Hawking horizon entropy. Information is never destroyed. | Derived |
| Entropy bridge | The conversion ladder between Shannon bits, von Neumann nats, and Bekenstein–Hawking area quanta. | Derived |
| Thermodynamic bridge (manual) | Full operational treatment. The bounded operational corridor, squeezed-vacuum mechanics, and the 3 dB scale-invariant boundary. | Derived · Frame-Conditioned |
Pending content
Two pieces are being prepared for this section:
- Relativistic scaffold audit. Verification that the 1/3 : 2/3 partition and the three-generation fermion slice (1/9 per generation) remain invariant under Lorentz boost, with phase-space volume det(J_φ) = 1.0.
- Standard Model mapping. A consistent partition of the seventeen fundamental particle types (sixty-one distinct states) onto the viewer cone and inverse cone, without inventing new particles.
Both will be published when the corresponding derivations are complete.
Related. The foundational algebra is in Information-Theoretic Structure. The applications to cosmology are in Cosmology / Astronomy.