Relational Phase Processing

A new identity-dominant computational architecture for continuity-critical systems.

Software Hardware

Identity That Transports Itself

Zero-Swap Identity Tracking Architecture
When tracked entities cross, conventional systems fail. Kalman filters hallucinate certainty. Assignment solvers swap identities silently. RPP inverts the problem: identity transports itself; corrections from observations are contingent on identity. Repeated statistical calculations create frame lag; relational referencing eliminates it. The result is unbroken custody through occlusions, sensor denial, and adversarial geometry—validated across eight domains.
Two-stage dominance:
IDENTITY TRANSPORT → OBSERVATION CORRECTION (non-commutative, irreversible)
Explicit refusal:
Strict refusal under ambiguity—no ghost tracks, no false assignments.
GPS-denial resilient:
Operates entirely in relational phase space without external reference.
Intellectual Property:
Patent pending (U.S. Application No. 19/415,882)

Geometry in Silicon

Deterministic, Certifiable, Parallel
RPP hardware exploits representation and dataflow before inventing arithmetic—treating identity as a first-class primitive. Angular-native ingest. Tensor register architecture. Identity transport that executes upstream of all observation logic. The result: deterministic execution with enumerated failure modes—no training data, no emergent behavior. Certification paths unavailable to ML-based systems.
STAGE 1
Angular Observation Interface + Tensor Scratchpad
STAGE 1.5
FPGA Validation
STAGE 2
Relational Arithmetic Units
STAGE 3
Relational Memory (structural identity at scale)

Mission Critical Domains

Defense & Tracking

Hypersonic intercept, swarm deception, and navigation in GPS-denied environments.

DoD primes, MDA contractors, DARPA performers

Autonomous Vehicles

Rigorous pedestrian persistence through extreme occlusion and urban clutter.

Tier 1 suppliers, OEM perception teams

Virtual Reality

Maintaining avatar coherence and pose integrity at 90Hz+ under continuous rotation.

Platform SDK teams, headset manufacturers

Distributed AI Systems

Reliable identity continuity for complex, multi-agent autonomous architectures.

Infrastructure providers, orchestration platforms

Space Domain Awareness

Persistent satellite and debris identity through conjunctions, sensor dropouts, and adversarial geometry.

Defense space operators, SDA integrators

Air Traffic Management

Persistent aircraft identity through radar handoffs, dense terminal airspace, and sensor discontinuities.

FAA contractors, ANSPs, airspace system integrators

We license to primes, platform teams, and system integrators—not end users.

RPP is grounded in angular/relational geometry—phase space that respects topology, curvature, and the physical limits of identity continuity. No Kalman. No particle filters. No probability propagation.

Technical Access

Substantive technical materials, validation artifacts, and evaluation access are made available only to qualified organizations and collaborators, subject to non-disclosure agreements. Initial review typically begins with a technical conversation prior to any document or evaluation access. We do not publish general whitepapers or marketing briefs. Disclosure is handled directly to ensure technical accuracy, appropriate context, and IP protection.

Albert Peter Pacelli

Albert Peter Pacelli, J.D.

Founder and Principal Investigator. 50 years in law and independent research. Author of Being and Intelligibility (Wipf & Stock 2017), Reason's Arc: Unified Angular Mathematics and the Geometry of Reality (anticipated publication: Fall 2026), and other books and articles on sundry topics. Developer of Unified Angular Mathematics and the RPP architecture.

Work With Us

Scalable Expertise, Outcome-Based Compensation
RPP LLC operates with a lean core team supported by domain specialists engaged on a project basis. We scale capability to opportunity—assembling the right expertise for each engagement without carrying fixed overhead.

Outcome-Based

Compensation structures include bonuses tied to contract awards, patent filings, and milestone deliverables.

Project-Flexible

Consulting arrangements scale up and down with program requirements.

Merit-Driven

Contributions to successful outcomes are recognized and rewarded directly.

We welcome inquiries from engineers, applied mathematicians, and system architects with expertise in tracking systems, geometric inference, FPGA development, or defense acquisition.