The Ladder of Stability A; The Disintegration of the Emergence-Stability Co-Constitution - The Evolutionary Terminal State of Higher-Dimensional Theoretical Structures
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2026
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| _version_ | 1866901786321747968 |
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| author | zhou, changzheng zhou, ziqing |
| author_facet | zhou, changzheng zhou, ziqing |
| contents | <p>How does the physical universe sustain its ordered structures rather than sliding<br>into an undifferentiated state? Based on the evolutionary framework of “emergence<br>stability co-constitution”, this paper proposes a directional dynamics of structural<br>hierarchies: lower levels are dominated by the emergent weight of difference gen<br>eration, while higher levels are governed by accumulated stability constraints. By<br>introducing an existential economic functional that unifies emergent output and<br>stability maintenance cost within a single quantitative system, it is proved that<br>under finite resource constraints there necessarily exists a critical level at which the<br>creative surplus vanishes. When the algebraic complexity of a structure reaches this<br>critical threshold, the cost required to maintain structural self-consistency grows<br>exponentially, ultimately compressing the surplus needed to create new differences<br>to a level where further unfolding becomes impossible. This terminal state man<br>ifests as an irreversible compression of emergent weight and a metastable locking<br>of the system’s differential resolution, corresponding to the algebraic degeneration<br>boundary marked by the emergence of zero divisors at the sedenion level in the<br>Cayley-Dickson construction. The framework unifies the thermodynamic cost of<br>information erasure and the self-consistency constraints of algebraic structures un<br>der the perspective of “existential economics”, providing a bottom-up explanation<br>for the metastably compressed universe from the dynamics of structural evolution.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20204742 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Ladder of Stability A; The Disintegration of the Emergence-Stability Co-Constitution - The Evolutionary Terminal State of Higher-Dimensional Theoretical Structures zhou, changzheng zhou, ziqing emergence; stability; algebraic degeneration; sedenions; information thermodynamics; structural hierarchy; existential economics; causal compression <p>How does the physical universe sustain its ordered structures rather than sliding<br>into an undifferentiated state? Based on the evolutionary framework of “emergence<br>stability co-constitution”, this paper proposes a directional dynamics of structural<br>hierarchies: lower levels are dominated by the emergent weight of difference gen<br>eration, while higher levels are governed by accumulated stability constraints. By<br>introducing an existential economic functional that unifies emergent output and<br>stability maintenance cost within a single quantitative system, it is proved that<br>under finite resource constraints there necessarily exists a critical level at which the<br>creative surplus vanishes. When the algebraic complexity of a structure reaches this<br>critical threshold, the cost required to maintain structural self-consistency grows<br>exponentially, ultimately compressing the surplus needed to create new differences<br>to a level where further unfolding becomes impossible. This terminal state man<br>ifests as an irreversible compression of emergent weight and a metastable locking<br>of the system’s differential resolution, corresponding to the algebraic degeneration<br>boundary marked by the emergence of zero divisors at the sedenion level in the<br>Cayley-Dickson construction. The framework unifies the thermodynamic cost of<br>information erasure and the self-consistency constraints of algebraic structures un<br>der the perspective of “existential economics”, providing a bottom-up explanation<br>for the metastably compressed universe from the dynamics of structural evolution.</p> |
| title | The Ladder of Stability A; The Disintegration of the Emergence-Stability Co-Constitution - The Evolutionary Terminal State of Higher-Dimensional Theoretical Structures |
| topic | emergence; stability; algebraic degeneration; sedenions; information thermodynamics; structural hierarchy; existential economics; causal compression |
| url | https://doi.org/10.5281/zenodo.20204742 |