MOVEMENTS (forthcoming)

The Geometry of Living Groups

"If you accept the axioms,
you must accept what follows.
Not as belief. As logical necessity."

What This Is

This is geometric proof that living groups organizing in 3D space-time require three movements: BREATH (gathering ↔ dispersing), PULSE (rising ↔ falling), TIDE (creating ↔ completing/dissolving).

Not observed preferences in healthy organizations. Geometric necessities proven through dimensional mathematics.

If groups are living systems (observable) AND living systems organize in 3D space-time (observable) THEN they must exhibit three movements (geometric necessity). Violations create predictable pathologies (falsifiable).

Who This Serves

This book serves:

  • Academics needing rigorous foundation

  • Skeptics requiring proof before trusting bodies

  • Theorists wanting epistemological grounding for somatic knowing

  • Those building on this work

You want proof that living groups have requirements? Falsifiable predictions. Observable patterns. Test it yourself.

What You'll Encounter

Geometric proof - Why living groups organizing in 3D space-time must exhibit exactly three movements (not two, not four)

The three movements demonstrated:

  • BREATH: Why gathering-dispersing rhythm is geometrically necessary

  • PULSE: Why rising-falling rhythm is geometrically necessary

  • TIDE: Why creating-completing rhythm is geometrically necessary

Extraction as geometric impossibility - Why forcing patterns without oscillation eventually breaks

Why bodies detect violations - Somatic knowing as primary during paradigm transitions

How This Connects

Read this before:

  • The Rhythm of Us - Experience the patterns somatically before encountering geometric proof

  • Organizational Metaphysics - Understand the cosmological framework before the mathematical demonstration

Read this after:

  • Any transmission - When you want rigorous foundation for patterns you've already felt

  • When you need geometric validation for what your body already detects

  • When someone asks "but why these specific patterns?" and you want mathematical proof

Or start here if:

  • You're a skeptic who needs proof before exploring practice

  • You think mathematically and need geometric necessity established first

  • You're an academic requiring rigorous foundation before phenomenology

  • You won't trust somatic knowing without mathematical validation

How it connects to other works:

MOVEMENTS proves patterns must exist (geometric necessity) → THE FIELD trains systematic perception of what's proven → Transmissions apply patterns to specific domains (relationships, organizations, paradigm completion) → All grounded in what MOVEMENTS demonstrates mathematically

Related Koans

"The pattern knows.
You know.
No one knows."

"Between breaths—
whose breath?"

Browse All Koans

"We formed before forming.
Now we can't un-form."

Get This Book

Coming Soon
Published: 2026
Publisher: Fractal Praxis Press
Format: Hardcover

Coming Soon

Practice This Work

Self-guided

  • Test verification protocols in your organization

  • Follow geometric proofs while listening to soundtrack

  • Track accuracy of pathology predictions

Facilitated

Strategic Witnessing with Performance Rising
Group rhythm assessment and restoration

Learn More →