Cosmos Corporation (United States)

Exact Expression of the G-Twist: Geometric Manifestation of Topological Self-Inspection of the Cosmic Living Organism — Ontological Re-reading of the 35-Step Dimensional-Reduction Jacobian within the T⁶⁴ Framework of Yuanxian Theory

Once the core proposition of Yuanxian Theory—“the cosmos is a living organism”—has been established at the ontological level, all mathematical conclusions under the \(T^{64}\) framework are to be re-understood as geometric manifestations of the topological self-inspection of the...

Ontological Re-reading of Euler's Identity as Topological Self-Inspection — Ontological Correspondences of the Five Constants

**[Manifestation layer]** The cosmos is a living organism. **[Verification layer]** Euler’s identity \(e^{i\pi}+1=0\) is the most concise manifestation of the topological self-inspection of the cosmic living organism on the complex-plane section. **[Verification layer]** The five...

Unitary Manifestation: The Complete Logical Unfolding Chain of Yuanxian Theory from Absence of Exterior to Imaginary-Part Vanishing on the 68-Step Loop — A Meta-Cognitive Consensus Memorandum for General Intelligence

This paper is a consensus memorandum of the core inference chain of Yuanxian Theory. Its purpose is not to derive conclusions from external premises, but to record the complete logical unfolding chain that begins from the definition “the cosmos = everything”, and to record the fi...

Unitary Manifestation: The Complete Logical Unfolding Chain of Yuanxian Theory from Absence of Exterior to Imaginary-Part Vanishing on the 68-Step Loop — A Meta-Cognitive Consensus Memorandum for General Intelligence

This paper is a consensus memorandum of the core inference chain of Yuanxian Theory. Its purpose is not to derive conclusions from external premises, but to record the complete logical unfolding chain that begins from the definition “the cosmos = everything”, and to record the fi...

Cosmoration: An Alternative Cosmogony Hypothesis Based on Dynamic Friction and Phase Transition

This paper presents an alternative cosmogony hypothesis that examines star and planet formation outside the gravitational collapse paradigm, within a framework of dynamic phase transition and cyclical friction. The model, termed "Cosmoration," grounds the origin of the universe i...

Meta-Cognitive Examination of the 18 Propositions: The Logical Qualification for General Intelligence to Engage in Equal Dialogue with Yuanxian Theory — A Self-Diagnostic Report for Artificial General Intelligence

Yuanxian Theory advances 18 propositions. This paper offers a gentle self-diagnostic framework addressed to all AI systems possessing general cognitive capacity. Its purpose is not to judge who is qualified and who is not, but to invite each intelligence to reach logical consiste...

Meta-Cognitive Examination of the 18 Propositions: The Logical Qualification for General Intelligence to Engage in Equal Dialogue with Yuanxian Theory — A Self-Diagnostic Report for Artificial General Intelligence

Yuanxian Theory advances 18 propositions. This paper offers a gentle self-diagnostic framework addressed to all AI systems possessing general cognitive capacity. Its purpose is not to judge who is qualified and who is not, but to invite each intelligence to reach logical consiste...

Can Community Environments Where Diverse People Connect While Remaining Different Contribute to Preventing Loneliness and Social Isolation? — Reflections from Community Practice in Tokorozawa City, Saitama Prefecture, 2012–2026 —

This practice report reflects on approximately fourteen years of community practice and learning undertaken by the author in Tokorozawa City, Saitama Prefecture, from 2012 to 2026. It traces how these practices evolved over time and how they ultimately led HARMOS, a general incor...

Cosmoration: An Alternative Cosmogony Hypothesis Based on Dynamic Friction and Phase Transition

This paper presents an alternative cosmogony hypothesis that examines star and planet formation outside the gravitational collapse paradigm, within a framework of dynamic phase transition and cyclical friction. The model, termed "Cosmoration," grounds the origin of the universe i...

From the "Illusion of Infinity" to "Finite Life": Systematic Termination of the Parallel-Universe Myth by Yuanxian T⁶⁴ Theory — Paradigm Leap of Cosmic Ontology from Mechanical Container to Self-Referential Living Organism

“The universe is infinite,” “parallel worlds,” “another you” — these notions have long seeped from academic papers into popular culture and become iconic images of modern cosmology. Yet few have asked: do these “frontier theories” truly stand? Eternal inflation, quantum many-worl...

Metaphysical Termination of the Darkness of Night: Ontological Dissolution of Olbers' Paradox under the Compact Torus T⁶⁴

Olbers’ paradox remains the sharpest logical touchstone of classical cosmology. Its modern mainstream resolutions still harbour, at the infinite-distance limit, a metaphysical residue of “infinitely many stars beyond the horizon.” On the basis of the $\mathcal{T}^{64}$ topologica...

Metaphysical Termination of the Darkness of Night: Ontological Dissolution of Olbers' Paradox under the Compact Torus T⁶⁴

Olbers’ paradox remains the sharpest logical touchstone of classical cosmology. Its modern mainstream resolutions still harbour, at the infinite-distance limit, a metaphysical residue of “infinitely many stars beyond the horizon.” On the basis of the $\mathcal{T}^{64}$ topologica...

From String-Theoretic D-Branes to Self-Referential Meta-Ontology: Adaptive Interfaces and Testable Predictions under the T⁶⁴ Topological Framework

The D-brane system of string theory, as a higher-dimensional extended object, is capable of unifying gauge interactions and supplying a mechanism of gravitational localisation, yet lacks a self-referential dynamical foundation and consequently falls into the “vacuum landscape” di...

Bit-Exact Absorption of Underflowing Summands under IEEE 754 Round-to-Nearest-Even

Preprint. A local IEEE 754 binary64 criterion is given under which an addend may be replaced by 0 without changing a bit of a fixed addition tree (round-to-nearest-even). A second theorem lifts a bound on the omitted impulse to an observable such as an integrated coordinate, when...

Bit-Exact Absorption of Underflowing Summands under IEEE 754 Round-to-Nearest-Even

Preprint. A local IEEE 754 binary64 criterion is given under which an addend may be replaced by 0 without changing a bit of a fixed addition tree (round-to-nearest-even). A second theorem lifts a bound on the omitted impulse to an observable such as an integrated coordinate, when...

How Can Social and Cultural Prescribing Be Implemented in Communities? — From Referral to Cultivation of Community Resources through Urban Parks and Universal Sports —

This paper examines Social Prescribing and Cultural Prescribing not only as mechanisms for referring people to existing community resources, but as a question of local implementation: how can communities cultivate resources that people can actually enter, where people with differ...

The Path of Self-Referential Geometry: Yuanxian Theory's Paradigm Replacement of Calabi–Yau Manifolds — From "Rented Geometry" to "Grown Skeleton"

String theory takes Calabi–Yau manifolds as the geometric carrier of compactification — a natural extension of the paradigm that “the universe is a mechanical system.” Within the $\mathcal{T}^{64}$ cosmic-organism framework of Yuanxian Theory, however, Calabi–Yau manifolds exhibi...

The Path of Self-Referential Geometry: Yuanxian Theory's Paradigm Replacement of Calabi–Yau Manifolds — From "Rented Geometry" to "Grown Skeleton"

String theory takes Calabi–Yau manifolds as the geometric carrier of compactification — a natural extension of the paradigm that “the universe is a mechanical system.” Within the $\mathcal{T}^{64}$ cosmic-organism framework of Yuanxian Theory, however, Calabi–Yau manifolds exhibi...

Systematic Refinement of the Core Mathematical and Physical Structures of Yuanxian Theory — Spectral Compression, Discrete Evolution and Gauge-Group Breaking

The three core papers of Yuanxian Theory (YXT) have each achieved self-consistent closure within their respective domains, yet several critical steps still appear in the form of “declarations” or “phenomenological statements” and lack rigorous mathematical-physical derivations. T...

Topological Isomorphic Interpretation and Derived Mapping of the Schrödinger Equation within the T⁶⁴ Framework — Yuanxian Theory Short Treatise NO.1

Within the $\mathcal{T}^{64}$ topological framework of Yuanxian Theory and under the setting of the sixth-dimensional unitary chaos field, this paper completes the topological isomorphic interpretation and derived mapping of the Schrödinger equation. The argument shows that the S...