Unstable subatomic particles intrinsically transition to reduced energy states by converting mass to energy, obeying precise decay width relationships encapsulated for lifetime τ as: 1 Γ = (1)

τ

Here the decay width Γ [GeV] characterizes the temporal rate of exponential particle number decrease, with narrower widths corresponding to more stable states. Particle lifetimes are constrained down to 10−24s scales using colliders [ 2 ]. Within the Standard Model (SM) framework, particular combinations of couplings and transition amplitudes dictate the precise decay width values. For example, neutron β-decay to proton+electron+antineutrino is described by:

To potentially explain the observed accelerative cosmic expansion without necessitating unknown dark energy contributions, a hypothesis of gradual exponential evaporation of universal mass-energy over cosmological time t has been proposed [ 4 ]:

M (t) = M0e−kt

Here the extremely small decay constant k ∼ 1/tcosmos ≈ 10−33s−1 characterizes the fractional mass-energy loss rate from this evaporation process. To maintain relativistic invariance of physical laws under the proposed steady cosmic mass depletion, distances R(t) between gravitationally interacting objects with shrinking masses are conjectured to correspondingly expand over time as [ 4 ]:

Where g is the gauge coupling, Vud is the quark CKM matrix transition potential, and mn is the neutron mass [12]. More generally, total decay widths summing partial widths connect to the imaginary component of the particle propagator:

Im[iM ] Γtot = Γpart 1 + Γpart 2 + ... = M Thus particle decay widths precisely quantify intrinsic physics properties. (3) Γn ∼ |Vud|

This intrinsic geometric linkage between proportionally shrinking masses and inflating distances is hypothesized to naturally induce the primary phenomena historically attributed to mysterious dark energy density or dark matter when treated fully relativistically from a local galactic observer’s frame. In particular, cosmic distance expansion precisely mimics an accelerating Hubble recession under this intrinsic geometry [ 5 ]. Determining the detailed quantum gravitational microphysics theoretically inducing such universal mass evaporation remains an active area of research in quantum cosmology and information physics [ 6 ]. However, the emergent macroscopic geometric scaling dynamics alone appear capable of broadly explaining many perplexing cosmic acceleration observations from known foundational physical principles.

This intriguing equivalence between the temporal exponential mass decrease rates characterizing quantum instability phenomena and conjectured evaporative cosmological dynamics separated by nearly 60 orders of magnitude strongly hints at a profound connection between the microscopic and macroscopic domains through a deeper unified physics. Motivated by this symmetry, a hypothesized universal relationship can be postulated as: k = CΓ

Here C represents a dimensionless coupling constant between the quantum and cosmological regimes whose physical origins and precise value remain unknown. If particle decay processes share some nontrivial physics link to the evolution of cosmic dynamics, rigorously determining the universal factor C relating the respective decay rates becomes a paramount goal for revealing and quantifying the hypothesized unified physics.

Extremely precise quantum lifetime and width data underpins the Standard Model framework. For example, partial widths of the Z boson are rigorously quantified as [11]: ΓZ→e+e− = 83.91 ± 0.12M eV ΓZ→μ+μ− = 83.99 ± 0.18M eV ΓZ→τ+τ− = 84.08 ± 0.22M eV ΓZ,tot = 2.4952 ± 0.0023GeV With total width stringently measured by multiple experiments as [ 3 ]: These and extensive other precision collider measurements of particle lifetimes and widths across energy scales compiled over decades of experiments can help constrain hypothetical cosmological decay mappings. 4.2

Incorporating intrinsic universal mass evaporation as a source of apparent cosmic acceleration into the density contrast growth rate δ(z) ≡ δρρ((zz)) over cosmic time gives [ 5 ]: δ′′ + 2Hδ′ − 4πGρ¯(t)δ = 0 (11)

Here the average cosmic mass density evolves as ρ¯(t) ∼ e−kt based on the proposed quantum gravitational decay law. Comparing the predicted cosmological structure growth trajectories against empirical data from galaxy redshift surveys provides a robust astrophysical test. Next-generation experiments will map > 108 galaxies to precisely constrain growth histories [9]. 4.3

Potential modifications to gravitational wave propagation through spacetime from micro-macro couplings between particle decays and cosmic evolution could manifest measurable dispersion in arrival times versus frequency [ 7 ]: Δt ∝ −DM (z) 1 − ν/2 (1 − ν) (12)

Here ν is the gravitational wave frequency and DM is the transverse comoving distance. Forthcoming high-precision measurements of standard sirens across a wide frequency range will tightly constrain exotic gravitational physics signatures [ 8 ]. 4.4

Observable imprints may exist in the angular power spectra of cosmic microwave background (CMB) polarization and temperature anisotropies if intrinsic mass evaporation nodally replaced an inflationary epoch, which requires significantly extending the basic decay formalism [ 4, 14 ]. Precision CMB data provides constraints on non-accelerative expansion cosmological models. 5

Astrophysical data fitting hypothesized universal relationships between particle decay widths and cosmic evaporation of the form: k = f (Γ) (13) could reveal the dimensionless coupling strength C between microscopic and macroscopic domains while providing invaluable constraints on theoretical models. Several candidate mathematical forms for the functional dependence f () relating widths Γ to the evaporation rate k warrant investigation, including: Γc3 f1(Γ) = CΓ f2(Γ) =

f3(Γ) = αΓ + βΓ2 + ...

¯hG

Here c is the speed of light, ¯h is the reduced Planck constant, G is the gravitational constant, and α, β, ... are higher-order coupling coefficients. Rigorously deducing the precise decay width dependence constituting the hypothesized evaporation dynamics from dimensional reduction or ab initio calculation would unveil nature’s deep connections. (14) 5.2

If unambiguously validated by astrophysical measurements, a nontrivial mathematical relationship between k and Γ would confirm profound nonlocal gravitational consequences of quantum events. Certain unstable particle decays could exert direct physical influence on the evolution of cosmic metrics to apparently drive accelerative expansion [ 4 ]. This suggests our 4D spacetime may be a holographic projection instantiating nonlocal gravitational dynamics from probabilistic particle decay processes operating within higher-dimensional substrates or more fundamental ontologies. 5.3

A theoretically established and empirically calibrated coupling between cosmic mass evaporation and microscopic particle decays would constrain potential mechanisms of quantum cosmogenesis [ 6 ]. The onset and evolution of macroscopic spacetime could reflect cumulative information dynamics from worldlines of decaying quantum particles. Tracing these foundational entropy currents offers possibility to unravel cosmic genesis.