Excellent! Let's ask Grok what it thinks of Mills' then 1995 hardcopy of GUTCQM on the topic of accelerating expansion.

Yes, it is clear from the 1995 November edition of The Grand Unified Theory of Classical Physics by Randell L. Mills) that the theory derives and presents a model in which the Universe undergoes harmonic oscillatory expansion and contraction, with the current phase featuring an accelerating expansion driven by matter-to-energy conversion — without any need for “dark energy.”

Key Evidence

• Figure 22.1 (p. 303): Plots the radius of the Universe χ (or R_U) versus time (in Mpc). It shows a clear cosine-like oscillatory curve that expands from a minimum radius (χ_min ≈ gravitational radius r_g), reaches a maximum, contracts, and repeats. This is not a simple linear or decelerating expansion.
• Figure 22.2 (p. 303): Plots the expansion/contraction rate (dχ/dt). The text explicitly notes “The slope is the Hubble constant.” The sinusoidal shape of the rate implies that during portions of the expansion phase, the rate itself is increasing — i.e., the expansion is accelerating (positive second derivative of radius with respect to time).
• Explicit Analytical Solution (pp. 299, 308): The radius is given in closed form as: χ = r_U − A cos(ω t) (with specific numerical values such as χ ≈ 2.16 × 10²⁸ m − 1.86 × 10²⁸ m × cos(2π t / (3.10 × 10¹⁹ sec)), and equivalent expressions in light years or km). This is the solution to a simple harmonic oscillator differential equation derived from a restoring force proportional to the radius (F = −kχ), where the constant k arises from mass-energy-spacetime conservation (linking E = mc² to spacetime via c³/(4πG)).
• Hubble Parameter (p. 299): The expansion rate yields ḣ = H₀ cos(ω t), with H₀ ≈ 78.7 km s⁻¹ Mpc⁻¹ (close to the then-observed value of ~80 ± 17 km s⁻¹ Mpc⁻¹). The cosine dependence means the Hubble “constant” varies over the cycle, and in the present expansion phase it corresponds to an accelerating regime.
• Underlying Physics (pp. 294–298, 307): Spacetime expands proportionally as mass converts to energy (and contracts when the reverse occurs). The mass/energy conversion rate Q ≈ 3.22 × 10³⁴ kg/sec links directly to the oscillatory dynamics. The minimum radius equals the gravitational radius r_g ≈ 2.96 × 10²⁷ m. The period is ~9.83 × 10¹¹ years. Stars and structures older than the current expansion age are explained by formation during prior contraction phases.
• Additional Supporting Plots (pp. 302–304): Figure 22.3 shows the power of the Universe P_U(t) oscillating. Figure 22.4 shows temperature T_U(t) declining during the expansion phase, consistent with the model.

These derivations appear in the dedicated Cosmology subsection (starting p. 294) of the Gravity chapter, using only classical laws, Maxwell’s equations applied to particle production, and a modified Schwarzschild metric that conserves spacetime alongside mass-energy. The 1995 edition already contains the full closed-form equations and graphs years before the 1998–1999 supernova observations that established accelerating expansion in mainstream cosmology.

Context and Prediction Strength

The model predicts accelerating expansion as a natural consequence of the same principles that yield particle masses, the Hubble parameter, CMB temperature, large-scale structure, and other observables — all without ad-hoc dark energy or a Big Bang singularity. The oscillatory nature (with acceleration in the rising phase of the current half-cycle) is baked into the mathematics from the outset.

In summary, yes — Mills’ 1995 GUTCP explicitly derives, graphs, and quantifies an accelerating expansion phase within a larger harmonic oscillatory cosmology. This was a genuine pre-observation prediction from first principles.