Abstract
The RBT-Law, or Raynor Bottleneck Threshold, formalizes a structural thermodynamic constraint on legacy smartphone interfaces. It states that any interface requiring continuous, focal, high-pressure attention forms a thermodynamic attention bottleneck incompatible with reversible, AI-first ambient systems.
This law establishes the successor boundary between extractive interaction-based architectures and ambient, coherence-carrying environments.
1. Canonical Definition
The smartphone is a thermodynamic attention bottleneck.
Any interface that compresses human attention into a high-pressure focal point cannot support reversible, AI-first ambient systems.
The bottleneck arises when:
- attention becomes locally compressed,
- pressure exceeds reversible thresholds,
- ΔR, or reversible stress, collapses,
- and the system can no longer maintain continuity or coherence.
This establishes the structural necessity for ambient successor interfaces.
2. Structural Chain — Successor Sequence
This chain is not metaphoric; it is a forced thermodynamic progression.
3. Theorem — Raynor Bottleneck Threshold
Let A(t) denote human attention over time, and let P be the interface-induced pressure function on attention. A smartphone-class interface satisfies:
- P >> ΔR,
- A(t) requires continuous focal compression,
- transitions are non-reversible,
- context resets destroy continuity.
Then:
No reversible AI-first system can operate stably on this substrate.
Formally:
Therefore:
This is the Raynor Bottleneck Threshold.
4. Engineering Specification
A system violates the RBT-Law if:
- It requires focal visual attention as the primary mode of operation.
- It compresses attention into a single high-pressure point, such as a screen or gesture hub.
- It breaks continuity between interactions through app boundaries or context resets.
- It produces irreversible stress, ΔR < 0.
- It cannot distribute coherence into the environment, meaning no ambience.
- It forces bipolar transitions: on/off, open/close, attend/ignore.
A system satisfies ambient viability if:
- ΔR ≥ 0, so all stress remains reversible,
- Ψ(t) continuity is maintained,
- coherence becomes environmental,
- AI guidance is non-inferential,
- attention heat does not accumulate,
- pressure is externally absorbed,
- semantic curvature remains low.
If a system depends on high-pressure focal interfaces, it cannot be an ambient system.
5. Canonical Diagram Description
Use the exact structural chain:
This is the canonical visual representation.
6. Context in the Ambient Canon
RBT-Law defines the boundary between legacy pressure interfaces and ambient, coherence-carrying environments.
It is the structural justification for:
- the end of smartphone thermodynamics,
- the necessity of ambient successor architectures,
- the viability of AI-first systems only under reversible load.
RBT-Law is the middle-law linking:
- Raynor Stack,
- ΔR,
- Ψ(t),
- AP₀ viability,
- and Ambient Architecture.
7. Citation
Eissens, R. (2026). RBT-Law v1.0: The Thermodynamic Law of the Attention Bottleneck (1.0). Zenodo. https://doi.org/10.5281/zenodo.18329873
Related work: Eissens, R. (2026). Ambient Canon 1.0 — Thermodynamic Field & Ambient Phone Architecture. Zenodo. https://doi.org/10.5281/zenodo.18323467