A Quadratic Time Law for Energy Evolution: Implications for Dark Energy and Cosmic Dynamics Mithun Kumar January 2, 2026 Abstract We propose a simple but powerful equation describing the evolution of energy over time: Q=Utou2 where Q represents the total energy of a system (including dark energy or vacuum energy), U is a characteristic energy acceleration, and tou is the relevant timescale. We derive the time evolution, instantaneous power, and energy acceleration associated with this relation. Applying the

Mithun

doi:10.17605/osf.io/7evmf

A Quadratic Time Law for Energy Evolution: Implications for Dark Energy and Cosmic Dynamics Mithun Kumar January 2, 2026 Abstract We propose a simple but powerful equation describing the evolution of energy over time: Q=Utou2 where Q represents the total energy of a system (including dark energy or vacuum energy), U is a characteristic energy acceleration, and tou is the relevant timescale. We derive the time evolution, instantaneous power, and energy acceleration associated with this relation. Applying the

Open Science Framework 2026 Open access

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Authors: Mithun

DOI: 10.17605/osf.io/7evmf

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Abstract

We propose a simple but powerful equation describing the evolution of energy over time: Q=Utou2 where Q represents the total energy of a system (including dark energy or vacuum energy), U is a characteristic energy acceleration, and tou is the relevant timescale. We derive the time evolution, instantaneous power, and energy acceleration associated with this relation. Applying the model to cosmological dark energy, we obtain numerical estimates consistent with observed energy densities and make testable predictions regarding energy growth and power over cosmic time.

Publication details

Journal / source: Open Science Framework
Publication date: 1 January 2026