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This research formalizes the refractive signature of the vacuum and derives the corresponding nodal capacity.

February 14, 2026Open Access

Addendum (Working Model): The Refractive Signature of the 7, 200-State MatrixFirst-Principles Derivation of the Informational Refractive Index (nΥ)

Key Points

This research formalizes the refractive signature of the vacuum and derives the corresponding nodal capacity.
Derivation of the refractive index using the PNI equation and its implications for 4D spacetime.
Calculated nodal capacity from foundational particles and their angular addressability.
Connected far-field Cosmic Microwave Background (CMB) data with local-field distance measurements.
The refractive index is determined to be nΥ ≈ 1.0822.
Nodal capacity K is defined as 7,200, stemming from 20 particles and angular parameters.
Evidence supports 1.0822 as a universal phase-lock constant relating systemic resonance.

Abstract

The PNI equation re-indexes spacetime as a discrete 4D informational lattice. This Addendum formalizes the Refractive Signature (nΥ ≈1.0822) of the vacuum. We derive the nodal capacity K=7,200 from the product of P = 20 fundamental par-ticles and Θ = 360◦ of angular addressability. We prove that nΥ is the topological saturation limit of this architecture, providing a deterministic bridge between far-field CMB data (H0 ≈67.4) and localfield distance ladders (H0 ≈73.0). Corroborative evidence from genomic Zipfian exponents (s≈1.08) suggests that 1.0822 is the universal phase-lock constant for systemic resonance.

Addendum (Working Model): The Refractive Signature of the 7, 200-State MatrixFirst-Principles Derivation of the Informational Refractive Index (nΥ)

Key Points

Abstract

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