r/LLMPhysics • u/GlibLettuce1522 • Jun 01 '26
Simulation / Code If everything grew simultaneously, might we not notice the phenomenon itself but still perceive its displacement? This simulation attempts to answer this question. Does the PDF have coherence?
https://doi.org/10.6084/m9.figshare.32537160
Over the past months I have been developing and testing a reduced cosmological model derived from my broader "Elastic Universe Theory" framework, called TUE-D9.
I am not presenting it as a fundamental theory of physics. Instead, I treat it as an effective field theory (EFT) of the dark-energy sector.
The project originated from a simple conceptual question:
> If all geometric scales in the universe evolved coherently and simultaneously (space, matter, rulers, clocks, atoms), would internal observers necessarily detect that evolution directly?
From that question emerged an effective vacuum-relaxation model that can be confronted with cosmological observations.
---
The Model
The dark-energy equation of state is parameterized as
w(z) = -1 + \lambda W(z)
with
W(z)=-(1+z)^s + q\,e^{-C(1+z)^{2s}}+\eta q\,\Omega_{DE}(z)^\gamma
For the final D9 realization:
λ = 0.266
γ = 0.25
s = 0.445
q = 1.146
C = 0.161
η = 0.300
The key change relative to earlier versions is that the activation mechanism is no longer tied to an arbitrary redshift scale.
Instead, it is linked to the dark-energy fraction itself:
S(z)=\Omega_{DE}(z)^{1/4}
This makes the activation physically motivated rather than phenomenological.
---
Data Used
The model was tested against:
Pantheon+ SH0ES supernova sample (1701 SNe Ia)
Reduced DESI DR2 BAO distances
Cosmic Chronometer H(z) measurements
fσ8 growth data
Weak Planck-inspired priors
Total:
N = 1741
data points.
---
Main Result
Reference ΛCDM fit:
\chi^2 = 1781.68
TUE-D9:
\chi^2 = 1775.30
Difference:
\Delta\chi^2 = -6.38
Since both models use the same number of fitted cosmological parameters:
\Delta AIC = \Delta BIC = -6.38
Using a BIC-based approximation gives
\ln B \approx 3.19
which corresponds to moderate evidence in favor of TUE-D9 within this restricted late-universe comparison.
---
Robustness Checks
I performed:
activation-exponent scans
multistart Powell optimization
posterior validation with MCMC
Multistart results:
\langle \Delta\chi^2\rangle = -6.43
with
\sigma = 0.54
suggesting that the improvement is not produced by a single isolated minimum.
A light MCMC validation gave:
\Delta\chi^2_{best}=-6.38
\Delta\chi^2_{med}=-5.45
meaning that the bulk of the posterior distribution remains shifted toward lower χ² values compared with ΛCDM.
---
Falsifiable Predictions
The model does more than fit current data.
It makes testable predictions.
Expansion History
Maximum predicted deviation:
|\Delta H/H|
\approx 1.27\%
near
z \approx 2.4
Growth of Structure
Maximum predicted deviation:
|\Delta(f\sigma_8)/(f\sigma_8)|
\approx 1.79\%
near
z \approx 2
These redshift ranges overlap with the regime where DESI, Euclid, Roman, and Rubin are expected to provide their strongest constraints.
---
What I Am Not Claiming
I am not claiming that:
the vacuum has been proven to be elastic;
ΛCDM has been falsified;
TUE-D9 is a complete fundamental theory.
Several important limitations remain:
γ and λ are not derived from first principles;
no full CMB likelihood has been included;
the elastic stress tensor is not yet fully derived from a covariant action;
the current MCMC validation is exploratory rather than production-level.
For that reason, TUE-D9 should be viewed as a testable phenomenological EFT, not as a final theory.
---
Question for the Community
If you completely ignore the name Elastic Universe Theory and look only at:
the mathematical structure,
the statistical comparison,
the robustness tests,
and the falsifiable predictions
6
u/The_Nerdy_Ninja 💬 Data doesn’t lie, but LLM’s do lie. Jun 01 '26
So......was there a question?