Unfreezing Time: Unifying General Relativity and Quantum Mechanics through Conformal Emergent Geometry v1.1 Compendium
- 1Micro Systems Engineering (United States)
Abstract
The deepest obstruction to unifying general relativity and quantum mechanics is usually called the problem of time. But it is equally a problem of space. Quantum mechanics requires both a clock to measure change and a ruler to measure distance, supplied from outside the system. General relativity makes both the clock and the ruler part of the dynamical geometry. Quantize the whole universe, and there is no outside left to hold either one.
The Conformal Emergent Reality Model (CERM) addresses this by building both the clock and the ruler from the geometry itself. In a reduced homogeneous setting a curvature variable is canonically conjugate to an internally constructed canonical clock τc. Quantizing this pair realizes CERM's quantum-geometric uncertainty principle. Because the same curvature also governs the generation of physical scale, the clock and the ruler share a single quantum-geometric origin.
One scalar field, Ω, does the work. It responds to local curvature, generates measurable spacetime, and accumulates a curvature-weighted history called Chronos. The framework recovers Einstein gravity on the classical side and ordinary quantum evolution in physical proper time on the matter side.
From this single foundation three cosmological regimes emerge as regimes of the same construction. At high curvature the field drives inflation and naturally terminates the inflationary phase. The same excitation, followed into later structure-forming epochs, supplies a scale-dependent dark-matter candidate. As Chronos accumulates over the aeon the expansion rate changes, driving late acceleration and offering a single self-consistent history through which the early acoustic inference and the local distance ladder can recover the same present-day expansion rate. Following Omega through an entire aeon extends Penrose’s conformal cyclic picture into a proposed dynamics of cosmic evolution, from a high-curvature seed through inflation, structure formation, and finite-scale completion. A Wick rotation of proto-time organizes the proposed transfer through the Virtual Sector, carrying selected correlations and phases into the next aeon’s seed.
This companion tells the story and states the results. Full derivations and literature context are in CERM v1.1 related record. https://doi.org/10.5281/zenodo.22947669
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BibTeX
@misc{akhtar2026unfreezing,
title = {{Unfreezing Time: Unifying General Relativity and Quantum Mechanics through Conformal Emergent Geometry v1.1 Compendium}},
author = {Salman Akhtar},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23427116},
url = {https://zenodo.org/records/23427116},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Unfreezing Time: Unifying General Relativity and Quantum Mechanics through Conformal Emergent Geometry v1.1 Compendium
AU - Salman Akhtar
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23427116
UR - https://zenodo.org/records/23427116
AB - The deepest obstruction to unifying general relativity and quantum mechanics is usually called the problem of time. But it is equally a problem of space. Quantum mechanics requires both a clock to measure change and a ruler to measure distance, supplied from outside the system. General relativity makes both the clock and the ruler part of the dynamical geometry. Quantize the whole universe, and there is no outside left to hold either one. The Conformal Emergent Reality Model (CERM) addresses this by building both the clock and the ruler from the geometry itself. In a reduced homogeneous setting a curvature variable is canonically conjugate to an internally constructed canonical clock τ_c. Quantizing this pair realizes CERM's quantum-geometric uncertainty principle. Because the same curvature also governs the generation of physical scale, the clock and the ruler share a single quantum-geometric origin. One scalar field, Ω, does the work. It responds to local curvature, generates measurable spacetime, and accumulates a curvature-weighted history called Chronos. The framework recovers Einstein gravity on the classical side and ordinary quantum evolution in physical proper time on the matter side. From this single foundation three cosmological regimes emerge as regimes of the same construction. At high curvature the field drives inflation and naturally terminates the inflationary phase. The same excitation, followed into later structure-forming epochs, supplies a scale-dependent dark-matter candidate. As Chronos accumulates over the aeon the expansion rate changes, driving late acceleration and offering a single self-consistent history through which the early acoustic inference and the local distance ladder can recover the same present-day expansion rate. Following Omega through an entire aeon extends Penrose’s conformal cyclic picture into a proposed dynamics of cosmic evolution, from a high-curvature seed through inflation, structure formation, and finite-scale completion. A Wick rotation of proto-time organizes the proposed transfer through the Virtual Sector, carrying selected correlations and phases into the next aeon’s seed. This companion tells the story and states the results. Full derivations and literature context are in CERM v1.1 related record. https://doi.org/10.5281/zenodo.22947669
ER -