The First-Principles Derivation of the Universe's Life-Cycle and Expansion Halt
- 1Institute of Structural Foundations of Physics (ISFP)
Abstract
The Synthesis Framework developed by the author describes the Universe as a unified recursive substrate system whose cosmological evolution follows from the changing balance between Vacuum Stiffness K and synthesis pressure P. Their relative strength defines the dimensionless evolutionary coordinate R=P/K, which organizes the progression through generative, structural, and restorative regimes. This article develops the resulting cosmological life-cycle and its Expansion Halt, connecting the early generative phase, structural differentiation, mature expansion, the maximum-scale state, and subsequent restorative contraction.
The first-principles development begins with the unified substrate generator and the monotonic evolution of R. The normalized expansion law relates the Hubble parameter to the matter contribution and the evolving signed substrate balance P−K. The future turnaround is determined by the condition H=0, which identifies the critical redshift and the maximum scale factor. Integration of the cosmological proper-time relation from the present epoch to this critical state gives a remaining expansion duration of approximately $37.5$ billion years. The corresponding quantitative results are zturn≃−0.42 and amax≃1.72a0.
The terminal dynamical evolution follows one continuous substrate trajectory. Its quantitative predictions include the monotonic decrease of R, the progressive reduction of the expansion rate, the future expansion halt, the maximum-scale condition, the remaining expansion duration, and the subsequent transition to contraction. The article establishes the mathematical relationships connecting these results and specifies localized falsifiability criteria for the predicted cosmological evolution.
The resulting life-cycle places the future expansion halt and restorative contraction within one substrate-governed account of cosmological evolution. The remaining expansion duration, critical redshift, and maximum scale factor are connected quantitative consequences of the substrate expansion law and the corresponding proper-time integral.
Related
- Review Note: On the derivation in N. Kumar, "On the Accelerated Expansion of the Universe," arXiv:2406.04392
- First-Principles Derivation of the MOND Interpolating Function and Scale from Horizon Thermodynamics
- First-principles transition-state tensorial cluster expansion of vacancy diffusion in Ta-W beyond the kinetically-resolved activation approximation
- The First-Fluctuation Hypothesis: The Monomedium Era, the Onset of the Universe's Expansion and the Origin of Matter
- First Principles Magnetohydrodynamical Theory for the Expanding Box Model: Effects on Expansion-Induced Alfvén Wave Reflection
BibTeX
@misc{vaishnav2026firstprinciples,
title = {{The First-Principles Derivation of the Universe's Life-Cycle and Expansion Halt}},
author = {Mohan Vaishnav},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23532861},
url = {https://zenodo.org/records/23532861},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The First-Principles Derivation of the Universe's Life-Cycle and Expansion Halt
AU - Mohan Vaishnav
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23532861
UR - https://zenodo.org/records/23532861
AB - The Synthesis Framework developed by the author describes the Universe as a unified recursive substrate system whose cosmological evolution follows from the changing balance between Vacuum Stiffness K and synthesis pressure P. Their relative strength defines the dimensionless evolutionary coordinate R=P/K, which organizes the progression through generative, structural, and restorative regimes. This article develops the resulting cosmological life-cycle and its Expansion Halt, connecting the early generative phase, structural differentiation, mature expansion, the maximum-scale state, and subsequent restorative contraction. The first-principles development begins with the unified substrate generator and the monotonic evolution of R. The normalized expansion law relates the Hubble parameter to the matter contribution and the evolving signed substrate balance P−K. The future turnaround is determined by the condition H=0, which identifies the critical redshift and the maximum scale factor. Integration of the cosmological proper-time relation from the present epoch to this critical state gives a remaining expansion duration of approximately $37.5$ billion years. The corresponding quantitative results are z_turn≃−0.42 and a_max≃1.72a_0. The terminal dynamical evolution follows one continuous substrate trajectory. Its quantitative predictions include the monotonic decrease of R, the progressive reduction of the expansion rate, the future expansion halt, the maximum-scale condition, the remaining expansion duration, and the subsequent transition to contraction. The article establishes the mathematical relationships connecting these results and specifies localized falsifiability criteria for the predicted cosmological evolution. The resulting life-cycle places the future expansion halt and restorative contraction within one substrate-governed account of cosmological evolution. The remaining expansion duration, critical redshift, and maximum scale factor are connected quantitative consequences of the substrate expansion law and the corresponding proper-time integral.
ER -