The Heisenberg limit at cosmological scales

Abstract

For an observation time {equal to} the universe age, the Heisenberg principle fixes the value of the smallest measurable mass at $m_{\mathrm{H}}=1.35\times 10^{-69}$ kg and prevents to probe the masslessness for any particle using a balance. The corresponding reduced Compton length to $m_{\mathrm{H}}$ is $\lambdabar_{\rm H}$, and represents the length limit beyond which masslessness cannot be proved using a metre ruler. In turns, $\lambdabar_{\rm H}$ is equated to the luminosity distance $d_{\mathrm{H}}$ which corresponds to a red shift $z_{\mathrm{H}}$. When using the Concordance-Model parameters, we get $d_{\mathrm{H}}=8.4$ Gpc and $z_{\mathrm{H}}=1.3$. Remarkably, $d_{\mathrm{H}}$ falls quite short to the radius of the {\it observable} universe. According to this result, tensions in cosmological parameters could be nothing else but due to comparing data inside and beyond $z_{\mathrm{H}}$. Finally, in terms of quantum quantities, the expansion constant $H_0$ reveals to be one order of magnitude above the smallest measurable energy, divided by the Planck constant

arXiv commentA different view on the Hubble tension. To appear in final form on Foundations of Physics by Springer, as follow-on of Capozziello S., Benetti M., Spallicci A.D.A.M., 2020, Found. Phys., 50, 893

References in corpus (27)

• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Cosmology Intertwined II: The Hubble Constant Tension
• Heisenberg's Uncertainty Principle
• Photon and Graviton Mass Limits
• Extended Gravity Cosmography
• Consistency tests of $\Lambda$CDM from the early integrated Sachs-Wolfe effect: Implications for early-time new physics and the Hubble tension
• High-redshift cosmography: auxiliary variables versus Padé polynomials
• Photon Mass Limits from Fast Radio Bursts
• FRB 121102 Casts New Light on the Photon Mass
• Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty
• Probing large distance higher dimensional gravity from lensing data
• Emergent Dark Energy, neutrinos and cosmological tensions
• Solar wind test of the de Broglie-Proca's massive photon with Cluster multi-spacecraft data
• Origin of probabilities and their application to the multiverse
• Massive photons from Super and Lorentz symmetry breaking
• Hubble tension bounds the GUP and EUP parameters
• Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipation
• Dispersion by pulsars, magnetars, fast radio bursts and massive electromagnetism at very low radio frequencies
• Cosmology and the massive photon frequency shift in the Standard-Model Extension
• Deriving the mass of particles from Extended Theories of Gravity in LHC era
• Hubble tension and absolute constraints on the local Hubble parameter
• Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition
• Frequency variation for in vacuo photon propagation in the Standard-Model Extension
• On Probability and Cosmology: Inference Beyond Data?

Cited by in corpus (15)

• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• Early Dark Energy with Power-law F(R) Gravity
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Hubble tension as a guide for refining the early Universe: Cosmologies with explicit local Lorentz and diffeomorphism violation
• Exploiting the Einstein Telescope to solve the Hubble tension
• Questioning the $H_0$ tension via the look-back time
• A critical discussion on the $H_0$ tension
• Investigating dark energy by electromagnetic frequency shifts
• Investigating dark energy by electromagnetic frequency shifts II: the Pantheon+ sample
• Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?
• Addressing the Hubble tension in Yukawa cosmology?
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Another look on the connections of Hubble tension with the Heisenberg Uncertainty Principle
• Photon frequency variation in non-linear electro-magnetism
• Extended Theories of Electrodynamics in $f(R)$ Gravity