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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/

⸻

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