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Preprint . 2026
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ZENODO
Preprint . 2026
License: CC BY
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Preprint . 2026
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Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Dissipative Static Graviton Model (DSGM): Formulating Gravity and Cosmological Observables via Grid Thermodynamics/耗散靜態重力子模型 (DSGM):透過網格熱力學建構重力與宇宙學可觀測量

Authors: Lin, HsinChuan;

The Dissipative Static Graviton Model (DSGM): Formulating Gravity and Cosmological Observables via Grid Thermodynamics/耗散靜態重力子模型 (DSGM):透過網格熱力學建構重力與宇宙學可觀測量

Abstract

[English Abstract] The fundamental mathematical distinction between the continuous geometric manifold of General Relativity (GR) and the discrete, probabilistic formalism of Quantum Mechanics (QM) presents ongoing theoretical challenges in formulating a unified framework. Concurrently, the standard cosmological model (ΛCDM) relies on phenomenological components---Dark Matter and Dark Energy---to address observational discrepancies at galactic and cosmic scales. This paper investigates an alternative framework, the Dissipative Static Graviton Model (DSGM), which postulates an absolute, discrete, Euclidean-flat Planck-scale graviton matrix. By modeling mass as a dissipative quantum state that continuously consumes grid gravitons, gravity emerges kinematically as a localized topological absorption gradient. We construct the microscopic foundation using an adiabatic PT-symmetric non-Hermitian Lagrangian, demonstrating that local unitarity and Ward-Takahashi identities are rigorously preserved despite secular mass evolution. Through tensor contraction and effective optical metrics, we derive the Schwarzschild momentum-reversal limit without requiring geometric singularities. By applying an effective field theory (EFT) ansatz for the sub-critical viscoplastic behavior of the quantum vacuum, the model recovers flat galactic rotation curves. Furthermore, mass dissipation necessitates a secular Variable-Mass Clock effect, reproducing Type Ia supernova time dilation and Tolman surface brightness attenuation in a static spatial background. Finally, the time-reversal of mass dissipation points to a cold Dirac-limit Grid Condensation Phase Transition, providing a purely geometric derivation of the Cosmic Microwave Background (CMB) acoustic peaks consistent with Planck satellite observations. [中文摘要] 廣義相對論 (GR) 的連續幾何流形與量子力學 (QM) 的離散機率形式之間存在根本的數學差異,這為建構大一統框架帶來了持續的理論挑戰。同時,標準宇宙學模型 (ΛCDM) 依賴暗物質與暗能量等唯象成分,以解決星系與宇宙尺度的觀測異常。本文探討了一個替代框架——耗散靜態重力子模型 (DSGM),該模型假設了一個絕對、離散且歐幾里得平坦的普朗克尺度重力子矩陣。透過將質量建模為一種持續消耗網格重力子的耗散量子態,重力在運動學上湧現為局部的拓樸吸收梯度。我們使用絕熱 PT 對稱非厄米拉格朗日量建構了微觀基礎,證明了儘管質量隨時間長期演化,局部么正性與沃德-高橋恆等式 (Ward-Takahashi identities) 仍受到嚴格保護。透過張量縮併與有效光學度規,我們推導出了史瓦西動量反轉極限,而無需引入幾何奇異點。藉由將有效場論 (EFT) 擬設應用於量子真空的次臨界黏塑性行為,本模型自然地恢復了平坦的星系自轉曲線。此外,質量耗散必然導致長期的「可變質量時鐘效應」,從而在靜態空間背景中重現了 Ia 型超新星的時間膨脹與托爾曼表面亮度衰減。最後,質量耗散的時間反演指向了一個極冷的狄拉克極限「網格冷凝相變」,為符合普朗克衛星觀測的宇宙微波背景 (CMB) 聲學峰提供了純幾何的推導。

Keywords

Quantum Gravity, 物質替代方案, Dark Matter Alternative, 有效場論, Cosmology, Galactic Rotation Curves, PT對稱量子理論, Effective Field Theory, Cosmic Microwave Background, 宇宙微波背景, PT-Symmetric Quantum Theory, 星系自轉曲線, 量子重力, 宇宙學

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average