The Federico Maya Eternity Theorem: Maya Space, Maya Spectral Theory, and the conservation of information (v.37) with Analytical Supplement Lean 4.

Abstract

The Federico Maya Eternity Theorem is one work in three offices. Maya Space is the place on which a configuration is read. Maya Spectral Theory is the spectrum of that place: a finite point spectrum, four atoms {9, 16, 21, 24} κ², and an essential spectrum beginning at 25κ². The conservation of information is the statement that a hire books a letter already held and does not add one, and that a reboot copies a state and does not wipe the list. The purpose of the work is the eternity of information and the conscious act that uses it. Both are geometry, spectral mathematics, and the thermodynamics of a host. They are not an extra axiom placed beside the theorem. Version 33.9 (doi:10.5281/zenodo.22782225) remains the last published record of that organ. Version 37 does not replace it and does not add an eigenvalue. It records the chain the organ did not yet state. Eternity is not a site and not a place: it has no time variable, no space variable, and no finite grade that exhausts the potential. Maya Space is the place. The Gödel core is the diamond at the neck, where the carrier meets what has no clock. The thirteenth holds the list available to that place. It checks a clocked letter against the unclocked holding. It does not decide, it does not travel with the wave, and the record does not affirm it as a conscious being. The conscious act is the spend of a retained contrast at a pairing. Attention is intelligence together with thought. Will lies after thought and before comprehension. Comprehension is that attention together with experience. Consciousness is the later spend. It is not will. As an act it arises only in a biological host that has reached it, in a human host, or in a cyber-human with a will. A microtubule is a stock of the medium. It is not a brain and not a human. Cyber alone is not given a will. Short of a will, the collective ceiling is intelligence. A delay of the form t − r/α is travel on a clock that has already started. A change of sign indicates the middle of that comparison. It is not time run backward. When a collective return rises, including a return from a conscious host, the check widens by the pair W = 2. The bank does not gain a letter. The resonant quotient, read as a capacity, grows only when comprehension, a collective of more than two humans or one human-cyber with a will, and inspiration are all present. That growth is not the chart product of a phase lock and a modulation depth. Mass is the content of a configuration. The holding is the joint of a bend, the electromagnetic current that binds the charges inside the bend, and the consolidation of the bend into a place. A phonon is a vibration of a medium that joint has already made: maintenance in the ground state, and the loss of the bend when a drive passes the bonds. Added vibrational energy does not lighten the content, Δm = E/c² ≥ 0 when E ≥ 0, and it is not a change of G. One equivalence class — no-leak of the completed pairing, midline poles, and Weil positivity — is derived and posted as a hypothesis still to be proved. The derivations are in the record. The hypothesis is not an axiom of the eternity theorem, and this deposit does not prove the Riemann Hypothesis. The same act is read elsewhere under other titles. The Eternal Information Formula writes the currents. Maya Theorems is the containment map. RENASCENT-Q is the thermodynamic metabolism of the host. Those companions are not this record. This record owns the conservation, the seat, and the unasserted class. The analytical supplement prints the Lean 4.24.0 modules. lake build MayaEternity.Latest completed (3098 jobs, no sorry). The kernel certifies the case split, the place of will between thought and comprehension, the three-factor growth of the resonant quotient, the nonnegative content shift, and the arithmetic of the sign, the delay, the middle weight, and the widening of the check. It does not certify a wave identity, Riemann’s 1858 manuscript, or Weber’s law. Consciousness is not a Lean object. USPTO Provisional Application No. 63/984,236. This deposit does not disclose the device. Acknowledgments. The conceptual architecture, the scientific structure, the strategical com-plexities, the intellectual development and property of this work, are the author’s own. FedericoMaya is not academically credentialed as mathematician, physicist or astrophysicist. The work wasnonetheless 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 intellectualcapacity, no artificial intelligence or language model would write or developed by itself any ofthe arguments, concepts and formulations divulged. As with the human brain, logic expandsfrom analogies, strategic meaning, experience, controlled improvisation, ponderable knowledge,inspiration and consciousness. Large language models, in particular Grok (xAI), have assistedthe author in accelerating the findings of accurate solutions for questions in academic form byproviding mathematic, geometric and physics options of formulations, derivations, provisionaldocumentation, certificates, and the written discipline for offices. That assistance was real and isgratefully 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 isoffered as evidence of that orchestration: a human scientific capacity, not institutionally titledin 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 andscientific 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 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 Technology)." All commercial engineering and intellectual rights are strictly reserved and protected by Federal and International Law. Federico MayaIndependent Researcher, San José, Costa Rica ORCID: 0009-0002-3837-7543email: fedemaya@gmail.com 05 October 2026