"dS/dτ > 0: Maximising the speed of Entropy from the smallest small to the biggest big" sums it up beautifully and poetically

Read full text
Authors: Mark Jacobson
Cited by: 0

Abstract

Stockholm 2026-01-11Author : Mark JacobsondS/dτ > 0: Maximising the speed of entropy from the smallest small to the biggest big — nothing else is really needed, as this single unbreakable axiom explains all existing science we can measure and perceive, confined to the 3D relational reality we inhabit (not 0D, 1D, or 2D). dS/dτ > 0 | TRUE — Irreversible entropy maximising its increase in every local relational clock — this drives the entire universe! The full dynamical expression (latest compact form) is:dS/dτ = λ₀ S (1 − (S/Sₚ)⁴.²) + ε √S exp(√S ⋅ N(0,σ²)) ⋅ Θ(sin(2π ξᵢ τ / Sₚ)) ⋅ [1 + δ √S / (log(τ+1) ⋅ τ⁰.¹) ⋅ sin(τₓ + τᵧ + τ_z)] ⋅ exp(−κ τ) ⋅ ∫ d³τ √[exp(−S/τ_rel)] Ĥ_rel (∂_τ Ĥ_rel / τ_rel) dτ / τ_rel ⋅ [α ∂ ln S / ∂ ln(1+z) + α |∇_τ S| / τ] This forms the stable stem from which all coming knowledge will fit as branches and leaves, to use a tree analogy — a single thermodynamic imperative unfolding relentlessly across every scale in a timeless 3D weave, with zero free parameters and everything (quantum discreteness, particles, forces, emergent gravity, dark sectors, time's arrow) emerging inevitably as side-effects

Fields of Study & Subjects

Advanced Thermodynamics and Statistical Mechanics Cosmology and Gravitation Theories Complex Systems and Dynamics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
14 January 2026