<p>We present Holographic Information Cosmology, a conservative extension of the standard cosmological model in which dark energy emerges from holographic entropy modulated by quantum decoherence, while dark matter remains cold dark matter (CDM) with a decoherence-modified growth function. The universe originates via quantum tunneling from nothing, providing a semiclassical mechanism for singularity avoidance within the WKB approximation. <Emphasis FontCategory="NonProportional">HIC</Emphasis> introduces a single additional parameter, the decoherence rate <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\Gamma _D \sim 10^{-18}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi mathvariant="normal">Γ</mi> <mi>D</mi> </msub> <mo>∼</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>18</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> s<InlineEquation ID="IEq2"> <EquationSource Format="TEX">$^{-1}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>, which is derived from quantum-gravity considerations and whose value coincides with the Hubble rate, thereby setting the timescale for dark-energy domination. Using a custom Julia-based Boltzmann solver validated against <Emphasis FontCategory="NonProportional">CAMB</Emphasis> to <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$0.05\%$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.05</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> precision, we perform Fisher-matrix forecasts with <i>Planck</i> 2018, <Emphasis FontCategory="NonProportional">DESI</Emphasis> DR1, and <Emphasis FontCategory="NonProportional">DES</Emphasis> Year 3 data under explicitly defined flat priors. The analysis yields realistic uncertainties: <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\sigma (\Gamma _D)/\Gamma _D \approx 25\%$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>σ</mi> <mrow> <mo stretchy="false">(</mo> <msub> <mi mathvariant="normal">Γ</mi> <mi>D</mi> </msub> <mo stretchy="false">)</mo> </mrow> <mo stretchy="false">/</mo> <msub> <mi mathvariant="normal">Γ</mi> <mi>D</mi> </msub> <mo>≈</mo> <mn>25</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$\sigma (\Omega _m) \approx 0.02$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>σ</mi> <mo stretchy="false">(</mo> <msub> <mi mathvariant="normal">Ω</mi> <mi>m</mi> </msub> <mo stretchy="false">)</mo> <mo>≈</mo> <mn>0.02</mn> </mrow> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$\sigma (H_0) \approx 1.2$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>σ</mi> <mo stretchy="false">(</mo> <msub> <mi>H</mi> <mn>0</mn> </msub> <mo stretchy="false">)</mo> <mo>≈</mo> <mn>1.2</mn> </mrow> </math></EquationSource> </InlineEquation> km/s/Mpc. <Emphasis FontCategory="NonProportional">HIC</Emphasis> reproduces the goodness-of-fit of <InlineEquation ID="IEq7"> <EquationSource Format="TEX">$\Lambda$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Λ</mi> </math></EquationSource> </InlineEquation>CDM (<InlineEquation ID="IEq8"> <EquationSource Format="TEX">$\Delta \chi ^2 \approx 0$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <msup> <mi>χ</mi> <mn>2</mn> </msup> <mo>≈</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>) and yields a modest Bayes factor, <InlineEquation ID="IEq9"> <EquationSource Format="TEX">$\ln B \approx 0.5 \pm 0.3$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>ln</mo> <mi>B</mi> <mo>≈</mo> <mn>0.5</mn> <mo>±</mo> <mn>0.3</mn> </mrow> </math></EquationSource> </InlineEquation>, reflecting the penalty for the extra parameter. The model predicts distinctive signatures: enhanced CMB <InlineEquation ID="IEq10"> <EquationSource Format="TEX">$\mu$</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation>-distortions (<InlineEquation ID="IEq11"> <EquationSource Format="TEX">$\mu \sim 1.8 \times 10^{-8}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>μ</mi> <mo>∼</mo> <mn>1.8</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>8</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>), scale-dependent primordial non-Gaussianity (<InlineEquation ID="IEq12"> <EquationSource Format="TEX">$f_{\text {NL}} \sim 0.18$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>f</mi> <mtext>NL</mtext> </msub> <mo>∼</mo> <mn>0.18</mn> </mrow> </math></EquationSource> </InlineEquation>), and a <InlineEquation ID="IEq13"> <EquationSource Format="TEX">$0.7\%$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.7</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> enhancement of structure growth detectable at <InlineEquation ID="IEq14"> <EquationSource Format="TEX">$\sim 2.3\sigma$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>∼</mo> <mn>2.3</mn> <mi>σ</mi> </mrow> </math></EquationSource> </InlineEquation> by LSST Y10. <Emphasis FontCategory="NonProportional">HIC</Emphasis> thus grounds dark energy in fundamental quantum-mechanical principles while retaining the empirical success of <InlineEquation ID="IEq15"> <EquationSource Format="TEX">$\Lambda$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Λ</mi> </math></EquationSource> </InlineEquation>CDM.</p>

Holographic dark energy with quantum decoherence: a conservative cosmological model

期刊论文
发表日期：

2026年7月21日

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Mahgoub A. Salih

摘要

We present Holographic Information Cosmology, a conservative extension of the standard cosmological model in which dark energy emerges from holographic entropy modulated by quantum decoherence, while dark matter remains cold dark matter (CDM) with a decoherence-modified growth function. The universe originates via quantum tunneling from nothing, providing a semiclassical mechanism for singularity avoidance within the WKB approximation. HIC introduces a single additional parameter, the decoherence rate $\Gamma _D \sim 10^{-18}$ $Γ_{D} \sim 10^{- 18}$ s $^{-1}$ $^{- 1}$ , which is derived from quantum-gravity considerations and whose value coincides with the Hubble rate, thereby setting the timescale for dark-energy domination. Using a custom Julia-based Boltzmann solver validated against CAMB to $0.05\%$ $0.05 %$ precision, we perform Fisher-matrix forecasts with Planck 2018, DESI DR1, and DES Year 3 data under explicitly defined flat priors. The analysis yields realistic uncertainties: $\sigma (\Gamma _D)/\Gamma _D \approx 25\%$ $σ (Γ_{D}) / Γ_{D} \approx 25 %$ , $\sigma (\Omega _m) \approx 0.02$ $σ (Ω_{m}) \approx 0.02$ , and $\sigma (H_0) \approx 1.2$ $σ (H_{0}) \approx 1.2$ km/s/Mpc. HIC reproduces the goodness-of-fit of $\Lambda$ $Λ$ CDM ( $\Delta \chi ^2 \approx 0$ $Δ χ^{2} \approx 0$ ) and yields a modest Bayes factor, $\ln B \approx 0.5 \pm 0.3$ $ln B \approx 0.5 \pm 0.3$ , reflecting the penalty for the extra parameter. The model predicts distinctive signatures: enhanced CMB $\mu$ $μ$ -distortions ( $\mu \sim 1.8 \times 10^{-8}$ $μ \sim 1.8 \times 10^{- 8}$ ), scale-dependent primordial non-Gaussianity ( $f_{\text {NL}} \sim 0.18$ $f_{NL} \sim 0.18$ ), and a $0.7\%$ $0.7 %$ enhancement of structure growth detectable at $\sim 2.3\sigma$ $\sim 2.3 σ$ by LSST Y10. HIC thus grounds dark energy in fundamental quantum-mechanical principles while retaining the empirical success of $\Lambda$ $Λ$ CDM.