D10Z -- The Manual of the Mechanics of Infinity - Beyond Planck, Beyond Einstein
Published April 19, 2025 | Version v1
Patent Open

D10Z Algebras: An Algebraic Framework Aligned with GM10-51, D10Z Mathematics, and D10Z Geometries

Authors/Creators

  • 1. D10Z

Description

D10Z Algebras offer an algebraic framework for multidimensional systems, integrating with GM10-51, D10Z Mathematics, and D10Z Geometries. GM10-51 establishes the scale Zn=10−51 mZ_n = 10^{-51} \, \text{m}Zn=10−51m, validated by DESI, JWST, and ALMA (R2>0.97R^2 > 0.97R2>0.97). This framework employs vigesimal hierarchies, quantum operators, and fractal transformations (ϕ=1.618\phi = 1.618ϕ=1.618) to model interactions, trajectories, and energy flows. Applications include quantum simulations (e.g., circuits with >90% fidelity), cryptography (using entangled states), and cosmological dynamics, providing a unified toolset for researchers in quantum physics and beyond.

Abstract (En)

D10Z Algebras, GM10-51, D10Z Mathematics, D10Z Geometries, quantum simulation, quantum cryptography, multidimensional systems, fractal transformations, Flower of Life

Other (En)

ANNEX — CONTINUITY, PRIOR ART & RIGHTS RESERVATION

(Formal linkage between D10Z Nodal Core ↔ D10Z-TTA)

1. Structural relationship between the records

The present document, D10Z-TTA Computational Structural Core v1.0, constitutes the mathematical and formally verifiable specification of the principles, mechanisms, and structural laws that were previously described at architectural and operational level in:

D10Z Nodal Core: Sovereign Coordination Architecture for Global Critical Systems
Zenodo DOI: 10.5281/zenodo.18383623
Related disclosure: 10.5281/zenodo.18203648 and technical annexes.

This work does not introduce a separate system. It provides the formal structural kernel that renders the architectural claims auditable, falsifiable, and machine-verifiable.

Nodal Core (Architecture) D10Z-TTA (Formalization)
Coherence-Based Routing Coherence function Φ: Z → [0,1]
AutoNoLoss Protocol Axiom 11.1 — No-Loss Guarantee
Self-Healing Mesh Evolution operator G with SMT contracts
GNSS-Independent Synchronization τ as structural (logical) time
Human–AI Sovereignty Axiom 12.1 (hard-coded human veto)
Energy / Compression Claims System metrics §13 with replication protocol

In summary:

Nodal Core defines the “what”.
D10Z-TTA formalizes the “how” and the “why” in a verifiable manner.

2. Disclosure continuity (Prior Art Chain)

This record is part of a continuous and traceable public disclosure lineage, as documented within the TTA specification itself:

  • 10.5281/zenodo.18203648

  • 10.5281/zenodo.18348037

  • 10.5281/zenodo.15249784

  • 10.5281/zenodo.18383623

As stated in Section 15 of the D10Z-TTA specification, this chain establishes:

  • Conceptual continuity

  • Verifiable disclosure timeline

  • Consistent authorship

  • Prior art position against third-party claims

This work must therefore be interpreted as part of a broader, documented corpus rather than as an isolated disclosure.

3. Nature of the disclosure

This document:

  • Operates exclusively in the mathematical-computational domain

  • Does not describe or claim physical phenomena

  • Does not measure or redefine natural constants

  • Does not replace or compete with physical theories

As explicitly stated in Sections 1.2, 14.1, and 14.2 of the D10Z-TTA specification.

4. Express reservation of rights

This record constitutes defensive technical disclosure and prior art.

It does not grant, imply, or confer any license or right to:

  • Patents

  • Trademarks

  • Trade secrets

  • Commercial exploitation

All intellectual property rights are expressly reserved, in accordance with Section 16 of the D10Z-TTA specification.

5. Legal interpretation

This annex shall be interpreted as:

A formal bridge between architectural concepts and mathematical structure,
transforming a conceptual system into an auditable and falsifiable structural core.

Any subsequent work that substantially reproduces:

  • symbols,

  • axioms (Sahana, Isis),

  • metrics (Φ, F),

  • SMT contracts, or

  • the TTA topology,

must be evaluated against this documented disclosure chain.

Si quieres, puedo ahora:

  • ajustarlo a lenguaje aún más “PCT-safe”, o

  • integrarlo como final section (e.g. Section 19) en tu PDF para versión v1.1.

 
 
 

Other (En)

Addendum — Prior Art & Patent Reservation (PCT–EPO/CNIPA Safe)

This record constitutes a public technical disclosure and prior art record, establishing verifiable public availability as of January 10, 2026 (Zenodo DOI: 10.5281/zenodo.18203648).

This disclosure is made without prejudice to the rights holder’s ability to file patent applications and to validly claim priority within the applicable time limits under the Patent Cooperation Treaty (PCT) and corresponding national and regional patent laws, including those administered by the European Patent Office (EPO) and the China National Intellectual Property Administration (CNIPA).

All patent, trademark, and other intellectual property rights are expressly reserved.
No license—express or implied—is granted by this publication.

Industry Applicability (Non-Exhaustive)

The architecture described herein is applicable to data-intensive systems across multiple industrial, scientific, and public-sector domains, including but not limited to transportation, telecommunications, energy systems, healthcare, manufacturing, financial systems, scientific research, and large-scale digital infrastructure.

Specific industry implementations are illustrative and non-exhaustive.
The scope of protection, where applicable, is determined solely by the claims of any resulting patent applications.

Files

Files

alge.pdf

Files (262.0 kB)

Name Size Download all
md5:8b0cd1277a9b3f12999df7628a8a266a
262.0 kB Preview Download