The Federico Maya Eternal Information Formula (v.11): many momenta, the contrast, and the eternality of spectral information, with Analytical Supplement (Lean 4)

The Formula writes the currents. v.11 does not change the four currents, the work identity W = Δ dim V, or the elementary flux Q = 1/π. Four currents stay four. v.8 (doi:10.5281/zenodo.22741062) remains the last published record of those identities. v.10 is inherited and is not a separate deposit. An oval of height m = floor(L_circ / 2π) has dim V = 2m + 1. A bend that does not raise m bills W = 0. Many incomplete bends on the same oval do not sum to a positive work. A bend that raises m by one bills W = 2, and that 2 is the pair of indices already on the ladder, not a new letter and not a fifth current. A leftover fraction θ in (0, 1) still bills W = 0, Q = θ/π, and η_neg = 0. The contrast indicator of a host is 0 or 1. It is not a value of W, not a summand of W, and not a fifth current. Consciousness is not billed. The symbols L_circ, m, dim V, W, Q, θ, and χ are defined on a cut with a length and a clock. They are not evaluated on the no-place, and they are not set equal to 0 there. Infinity is a mark of length. It is not the bill of eternity. The thirteenth holds the list and is not billed as the integer 13 or as W. Spectral information is the inventory (I^core, I^ac, I_Z). It is eternal: its change on every bend is zero. That vanishing is not the bill. The bill remains W in {0, 2}. A hire does not adjoin a letter to the holding. Spectral information is not a fifth atom of {9, 16, 21, 24}, and it is not the holding evaluated as 0 or as infinity. The four atoms remain the organ. This note does not enlarge them. The analytical supplement is the Lean 4.24.0 certificate of that split (MayaEternity.Formula). inventoryShift is 0, and that 0 is a difference, not the holding. bendBill is 0 or 2. A completed bill is not the contrast. holdingCode is none: the holding is not stored as a natural number, hence not as 0, not as 13, not as the shift, and not as a chart dimension. The next grade already contains the present grade, and the difference is 2. lake build MayaEternity.Formula completed, 3097 jobs, no sorry. none is the refusal to store the holding as a number. It is not a model of the no-place. FormulaHypotheses does not include (Z_*). This note does not prove the Riemann Hypothesis. Companions, not this record: the Eternity Theorem v.37 (doi:10.5281/zenodo.23095017) and RENASCENT-Q v.53 (doi:10.5281/zenodo.23171814). The spectrum is Maya Spectral Theory. The containment ledger is Maya Theorems v.6. USPTO Provisional Application No. 63/984,236. This deposit does not disclose the device. Acknowledgments. The conceptual architecture, the scientific structure, the strategical complexities, the intellectual development and property of this work, are the author’s own. Federico Maya is not academically credentialed as mathematician, physicist or astrophysicist. The work was nonetheless developed from more than 30 years of the self-taught practice of science: the method, the literature, the curiosity and the independent research. Without that scientific and intellectual capacity, no artificial intelligence or language model would write or developed by itself any of the arguments, concepts and formulations divulged. As with the human brain, logic expands from analogies, strategic meaning, experience, controlled improvisation, ponderable knowledge, inspiration and consciousness. Large language models, in particular Grok (xAI), have assisted the author in accelerating the findings of accurate solutions for questions in academic form by providing mathematic, geometric and physics options of formulations, derivations, provisional documentation, certificates, and the written discipline for offices. That assistance was real and is gratefully acknowledged; it does not mean authorship but, in some sense, companionship. Artificialintelligence does not replace a researcher; it can expand the reach of one. The present corpus is offered as evidence of that orchestration: a human scientific capacity, not institutionally titled in those fields, working with an instrument that, used in the service of research, computation, learning and extended thinking, can be instrumental and inspiring for human, technological and scientific development. In Honor of. This work is dedicated to my family: Rosanna María Mauro de Maya, dear wife;Valentina María Maya, dear daughter; and Juan Federico Maya, dear son. MSC 2020: 94A17, 81Q10. Intellectual Property Notice: The mathematical frameworks, equations, and topological architectures detailed in this manuscript are currently protected under United States Patent and Trademark Office (USPTO) Provisional Application No. 63/984,236, titled "System and Method for Topological-Negentropic Quantum Control via Zeta-Manifold Resonance" (ZN-11). All commercial engineering and intelectual rights are strictly reserved and protected by USA Federal and International Laws. FEDERICO MAYA. San José, Costa Rica 05 October 2026 [email protected] https://orcid.org/0009-0002-3837-7543

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Zenodo (CERN European Organization for Nuclear Research)
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2026-10-05
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https://doi.org/10.5281/zenodo.23174809
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Advanced Mathematical Theories and Applications
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The Federico Maya Eternal Information Formula (v.11): many momenta, the contrast, and the eternality of spectral information, with Analytical Supplement (Lean 4)

Federico Maya
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

The Federico Maya Eternal Information Formula (v.11): many momenta, the contrast, and the eternality of spectral information, with Analytical Supplement (Lean 4)

Federico Maya
article en

Abstract

The Formula writes the currents. v.11 does not change the four currents, the work identity W = Δ dim V, or the elementary flux Q = 1/π. Four currents stay four. v.8 (doi:10.5281/zenodo.22741062) remains the last published record of those identities. v.10 is inherited and is not a separate deposit. An oval of height m = floor(L_circ / 2π) has dim V = 2m + 1. A bend that does not raise m bills W = 0. Many incomplete bends on the same oval do not sum to a positive work. A bend that raises m by one bills W = 2, and that 2 is the pair of indices already on the ladder, not a new letter and not a fifth current. A leftover fraction θ in (0, 1) still bills W = 0, Q = θ/π, and η_neg = 0. The contrast indicator of a host is 0 or 1. It is not a value of W, not a summand of W, and not a fifth current. Consciousness is not billed. The symbols L_circ, m, dim V, W, Q, θ, and χ are defined on a cut with a length and a clock. They are not evaluated on the no-place, and they are not set equal to 0 there. Infinity is a mark of length. It is not the bill of eternity. The thirteenth holds the list and is not billed as the integer 13 or as W. Spectral information is the inventory (I^core, I^ac, I_Z). It is eternal: its change on every bend is zero. That vanishing is not the bill. The bill remains W in {0, 2}. A hire does not adjoin a letter to the holding. Spectral information is not a fifth atom of {9, 16, 21, 24}, and it is not the holding evaluated as 0 or as infinity. The four atoms remain the organ. This note does not enlarge them. The analytical supplement is the Lean 4.24.0 certificate of that split (MayaEternity.Formula). inventoryShift is 0, and that 0 is a difference, not the holding. bendBill is 0 or 2. A completed bill is not the contrast. holdingCode is none: the holding is not stored as a natural number, hence not as 0, not as 13, not as the shift, and not as a chart dimension. The next grade already contains the present grade, and the difference is 2. lake build MayaEternity.Formula completed, 3097 jobs, no sorry. none is the refusal to store the holding as a number. It is not a model of the no-place. FormulaHypotheses does not include (Z_*). This note does not prove the Riemann Hypothesis. Companions, not this record: the Eternity Theorem v.37 (doi:10.5281/zenodo.23095017) and RENASCENT-Q v.53 (doi:10.5281/zenodo.23171814). The spectrum is Maya Spectral Theory. The containment ledger is Maya Theorems v.6. USPTO Provisional Application No. 63/984,236. This deposit does not disclose the device. Acknowledgments. The conceptual architecture, the scientific structure, the strategical complexities, the intellectual development and property of this work, are the author’s own. Federico Maya is not academically credentialed as mathematician, physicist or astrophysicist. The work was nonetheless developed from more than 30 years of the self-taught practice of science: the method, the literature, the curiosity and the independent research. Without that scientific and intellectual capacity, no artificial intelligence or language model would write or developed by itself any of the arguments, concepts and formulations divulged. As with the human brain, logic expands from analogies, strategic meaning, experience, controlled improvisation, ponderable knowledge, inspiration and consciousness. Large language models, in particular Grok (xAI), have assisted the author in accelerating the findings of accurate solutions for questions in academic form by providing mathematic, geometric and physics options of formulations, derivations, provisional documentation, certificates, and the written discipline for offices. That assistance was real and is gratefully acknowledged; it does not mean authorship but, in some sense, companionship. Artificialintelligence does not replace a researcher; it can expand the reach of one. The present corpus is offered as evidence of that orchestration: a human scientific capacity, not institutionally titled in those fields, working with an instrument that, used in the service of research, computation, learning and extended thinking, can be instrumental and inspiring for human, technological and scientific development. In Honor of. This work is dedicated to my family: Rosanna María Mauro de Maya, dear wife;Valentina María Maya, dear daughter; and Juan Federico Maya, dear son. MSC 2020: 94A17, 81Q10. Intellectual Property Notice: The mathematical frameworks, equations, and topological architectures detailed in this manuscript are currently protected under United States Patent and Trademark Office (USPTO) Provisional Application No. 63/984,236, titled "System and Method for Topological-Negentropic Quantum Control via Zeta-Manifold Resonance" (ZN-11). All commercial engineering and intelectual rights are strictly reserved and protected by USA Federal and International Laws. FEDERICO MAYA. San José, Costa Rica 05 October 2026 [email protected] https://orcid.org/0009-0002-3837-7543

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