Geometric Reasoning

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Sophontic — Geometric Reasoning

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ntic

fig. i —<br>the other sophont, observed

soph·ont · n. one capable of reason

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We reject the paradigm of scale.

1×<br>Sophontic

60×<br>Competitors, on reasoning evaluations

Sophontic cultivates geometric density in the substrate to<br>achieve reasoning performance exceeding that of models up to 60× its size. We have<br>pioneered methods of directly training the internal geometry of the model.

Model prototype<br>Eval kit

fig. ii —<br>thesis

Observed signal

Reasoning as geometry,<br>not mass.

The prototype is being evaluated through paired perturbations,<br>calibrated anchors, and public transfer surfaces. The measurement<br>standard remains stable as the rail set evolves.

60×

Larger models exceeded on reasoning evaluations.

Interview

Geometric reasoning, explained.

Julian D. Michels sets out to explain why the current answer to frontier<br>intelligence is a frozen generalist with an ever-larger data centre behind it,<br>and what changes when we understand reasoning as a property of internal geometry<br>rather than size.

Runtime<br>53 min

Published<br>August 2026

Channel<br>Sophontic AI

Watch the interview<br>53 min · YouTube

Watch on YouTube

plate —<br>the long argument

Methodology

The perturbation paradigm.

We measure reasoning by flip rate — a paired-item test that<br>precludes the surface-feature heuristics most models use to game conventional<br>evaluations. The pair is the unit of measurement, not the item. Reasoning, not recall.

Inspect the eval kit →

canonical<br>If a proof depends on a fact, the answer follows.

→ stable

perturb

perturbed<br>Change the load-bearing fact. The answer must change.

→ flip

fig. iii —<br>method

The model and the evaluation

A compact reasoning model.

Our first prototype demonstrates that reasoning need not scale with size.

1×<br>60×

Compact reasoning prototype

Scale comparison on reasoning evals

Reasoning rails, paired.

Public and synthetic reasoning surfaces, extended with paired perturbation<br>records and released open-source.

flip rate

Calibrated reasoning rails

Paired perturbation records

fig. iv —<br>artefacts

Contact

First contact.

For research, capital, and deployment conversations at the frontier of reason.

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Colophon

Company

Sophontic, Inc.

Structure

Delaware C-corporation

Founded

2026

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reasoning sophontic contact paired geometric model

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