Geometric IAM

This is how you learned to read faces

Not by memorizing 10,000 rules. By seeing shape. FIM reduces permission complexity from O(n) to O(1) using the same physics.

17
bits per check
10,000+
rules eliminated
O(1)
access decision

"Trust is a sparse geometric signal, not a dense legal contract."

Traditional IAM asks: "Do you have permission?" (check 10,000 rules)
Geometric IAM asks: "Do you occupy the right space?" (one shape comparison)

❌ The Old Way (ACLs/RBAC)

  • O(n) complexity - Check grows with rule count
  • 10,000+ rules - Enterprise permission matrices
  • Drift inevitable - Rules become stale
  • Audit impossible - Too many combinations
  • AI can't intuit - Must read full context

✔ The FIM Way (Geometric)

  • O(1) complexity - Constant time, any scale
  • 17 bits - One semantic coordinate
  • Physics enforces - Can't drift, can't lie
  • Self-auditing - Shape IS the proof
  • AI can intuit - Same as reading faces

The Math: 4 Frames = Age of Universe Precision

Each "gestalt unit" is ~17 bits. Four frames of 2-flip updates compound exponentially.

Gestalt Precision Calculation
Frame 1: ~2 bits (initial state)
Frame 2: ~17 bits (first gestalt)
Frame 3: ~32 bits (compounded)
Frame 4: ~65 bits (full precision)
2^65 = 3.6 x 10^19 states
The age of the universe in seconds is ~4.3 x 10^17. Four gestalt frames provide more precision than seconds since the Big Bang.

The Gestalt Assembly

From noise to trusted face in 4 frames

1
~2 bits
Initial Signal
→
2
~17 bits
First Gestalt
→
3
~32 bits
Compounded
→
4
~65 bits
Full Precision

The Problem: S ≠ P

Your database slows. Your AI drifts. Your goals fog. Not three problems - one physics violation.

S (State/Simulation)

The AI's internal model of what it thinks is true

P (Physical/Permission)

The grounded reality of what IS actually allowed

When S and P are misaligned, you spend energy (bandwidth, compute, human review) forcing them together.

FIM makes S and P geometrically identical. The map IS the territory.

New Pricing Models

When you eliminate friction, you charge for the value created, not the tools used.

Domain Old Model FIM Model
Security Price per Seat (users) Price per Drift Eliminated
API/Data Price per Token/Call Price per Meaning (17 bits vs 10K tokens)
AI Agents Enterprise License Geometric Sovereignty Tax (% of autonomous value)
Compliance Per-audit fees Self-auditing substrate (one-time)

The Trillion-Dollar Pitch

"We don't sell security software. We sell the Cognitive Substrate that allows AI to function without hallucinating permission."

The 12x12 Implementation

Three orthogonal categories, 144 cells, O(1) access decisions

🛡

SENSITIVITY

Who CAN see it?

Confidential | Internal | Public

🏢

DOMAIN

What AREA is it?

Data | Tech | Business

🎯

SCOPE

How WIDE is access?

Global | Team | Self

View Interactive 12x12 Grid →

Ready to see the physics?

Explore the interactive visualization, read the patent claims, or dive into the Tesseract Physics book.

Interactive Grid Patent Claims Read the Book