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RBT-Law v1.0
Thermodynamic Constraint on Smartphone Interfaces
Raynor Eissens (2026)
Versioned Release — DOI to be assigned by Zenodo
URL: /ambient-phone/rbt-law/
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Abstract
The RBT-Law (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.
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1. Canonical Definition
RBT-Law
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 (reversible stress) collapses,
• and the system can no longer maintain continuity or coherence.
This establishes the structural necessity for ambient successor interfaces.
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2. Structural Chain (Successor Sequence)
SMARTPHONE = PRESSURE INTERFACE
↓
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THERMODYNAMIC ATTENTION BOTTLENECK (RBT-Law)
↓
AI-FIRST AMBIENT SYSTEMS (require reversibility)
↓
SUCCESSOR INTERFACE — AMBIENT PHONE
This chain is not metaphoric; it is a forced thermodynamic progression.
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3. Theorem (Formal Statement)
Theorem 1 (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:
If
P > ΔR,
then Ψ(t) collapses.
If
Ψ(t) collapses,
then C∞ cannot emerge.
If
C∞ cannot emerge,
then ambient viability is impossible.
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Therefore:
smartphone ∉ AP₀-compatible substrates.
This is the Raynor Bottleneck Threshold.
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4. Engineering Specification (RBT-Law v1.0)
A system violates the RBT-Law if:
1. It requires focal visual attention as the primary mode of operation.
2. It compresses attention into a single high-pressure point (screen or
gesture hub).
3. It breaks continuity between interactions (app boundaries, context
resets).
4. It produces irreversible stress (ΔR < 0).
5. It cannot distribute coherence into the environment (no ambience).
6. It forces bipolar transitions (on/off, open/close, attend/ignore).
A system satisfies ambient viability if:
• ΔR ≥ 0 (all stress 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.
Thus:
If a system depends on high-pressure focal interfaces, it cannot be an ambient
system.
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5. Diagram Description (Canonical Structural Representation)
Use the exact structural chain:
SMARTPHONE (pressure)
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↓
RBT-LAW (thermodynamic bottleneck)
↓
AI-FIRST AMBIENT SYSTEMS (reversible)
↓
AMBIENT PHONE (successor interface)
This is the canonical visual representation.
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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.
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7. Citation
Eissens, R. (2026).
RBT-Law v1.0 — Thermodynamic Constraint on Smartphone Interfaces.
Zenodo.
/ambient-phone/rbt-law/
Related work:
Eissens, R. (2026).
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The Raynor Stack — Canonical Thermodynamic Sequence for Humane
Technology.
Zenodo.
https://doi.org/10.5281/zenodo.18323467