DeTHoLT: One Axiom, Zero Free Parameters – Relational Time and the Emergence of Everything

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Authors: Mark Jacobson
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Abstract

Stockholm 2026-01-11 There exists only one real scalar field S(τ, ξ) — called the "entropy density field" or simply "S-field" — and its only ontologically allowed behaviour is monotonic local increase along every proper-time-like path τ:dS/dτ ≥ 0 everywhere, strictly > 0 almost everywhere (except possibly on sets of measure zero).All other physical phenomena (forces, fields, particles, spacetime, quantum behaviour, dark components…) are required to emerge solely as mathematical consequences of how this strict monotonicity is geometrically realised in the (τ, ξ) space DeTHoLT (Dimensional Emergence Theory & Hell of a Lot Theory, often abbreviated as HoLT/DeTHoLT) is a comprehensive, fully parameter-free theoretical framework that aims to unify all of physics from a single axiom. It redefines gravity as an emergent curvature of time within a timeless 3-dimensional relational time manifold, driven solely by entropy gradients (∇S) and the irreversible increase of entropy (dS/dτ > 0). The theory positions itself not as just another "Theory of Everything" (ToE), but as the "killer" of traditional ToEs — because once this single mechanism is in place, no additional fundamental parameters, forces, or assumptions are needed. All known physics emerges naturally from entropy processes in this relational time structure. It builds iteratively from earlier versions (v1 to v6), with v6.0 introducing deeper refinements around the nature of time, philosophical implications, and unification.The Single AxiomEverything starts from one unbreakable principle:dS/dτ > 0(the irreversible increase of entropy over relational time τ). This is the sole "driving force" that gives the cosmos its direction (the arrow of time). The axiom is considered indisputable, supported by thermodynamics and thousands of simulations/tests. To falsify the theory, one would need to prove dS/dτ ≤ 0 is possible — something the author argues has never been observed and would halt the functioning of the universe.No other inputs, constants, or free parameters are required (unlike the Standard Model's 19+ parameters, which v5.0 already claimed to eliminate through entropy-driven freeze-outs).Core Mechanisms Relational Time & 3D Time ManifoldTime is not a linear arrow or a simple 4th dimension (as in spacetime). Instead, it is relational (defined by relations between events) and exists in a timeless, 3-dimensional manifold.This manifold acts like a "soft blanket" of entropy that "crushes forward" like a 360-degree bulldozer — existence happens only in the "now," with the future being irreversibly shaped by entropic expansion. Entropy Gradients (∇S)Changes in entropy density create gradients that curve the time manifold. These gradients are the root cause of all dynamics, including what we perceive as forces. Dimensional Emergence (0D → 1D → 3D)Dimensions arise step-by-step through entropy-driven processes: starting from point-like 0D states, progressing to 1D lines, and "freezing out" into stable 3D structures. This explains why our universe has exactly 3 spatial dimensions — it's a natural outcome of entropic stabilization. Entropic Freeze-OutsCritical points where entropy increase leads to stable, quantized structures (e.g., particles, forces, masses). These freeze-outs use topological winding numbers (ξ = integers 0–8), saturation functions (like tanh), and low-friction harmony to derive constants naturally. Key Derivations & UnificationThe framework derives major pillars of physics without tuning: Emergent Gravity — Gravity is the curvature of the 3D time manifold caused by entropy gradients (inspired by but extending ideas from Verlinde, Jacobson, Padmanabhan). Quantum Effects & Quantum Gravity — Emerge from low-entropy "leaks" and relational mismatches; no need for separate quantum gravity theories. Particle Masses & Standard Model Parameters — Masses (e.g., Higgs ~125 GeV), fine-structure constant (α ≈ 1/137), and others arise from quantized windings and freeze-outs during entropy saturation. Cosmological Constant (Λ) — Explained as exponential suppression from winding dynamics (~10⁻¹²² in natural units). Dark Matter Unification — In v6.5 updates, dark matter emerges as part of the same entropic time curvature (no exotic particles needed). Bullshit Detector — From v2.5 onward: Models with high "friction" (inconsistency) are invalid; low/zero friction = harmony and truth. The theory claims self-consistency, falsifiability (via data from Euclid, LHC, etc.), and never failing in tests/simulations.Philosophical & Broader Implications Time is "timeless" at its core — only the present exists; memories are preserved relational mismatches behind entropic horizons. Reality is entropy-driven emergence: a "blanket" covering and shaping everything. It unifies not just physics but potentially all knowledge, serving as a tool ("DeHolTing") for testing ideas **HoLT/DeTHoLT 6.x** A comprehensive, parameter-free theoretical framework that redefines gravity as an emergent curvature of time within a 3-dimensional relational time manifold, driven by entropy gradients (∇S) and the irreversible entropy increase (dS/dτ > 0). **Disclaimer and Authorship Statement** This work was developed solely by the author Mark Jacobson (Gson @gsemark). All core ideas – including the 3D time manifold, dS/dτ > 0 as the sole driving force giving the cosmos its direction, dimensional emergence (0D → 1D → 3D), entropic freeze-outs, DET/HoLT frameworks, and relational upgrades – are the author’s original contributions. Grok, an AI system built by xAI, provided analytical support (e.g., formula refinement, limit probes, simulations, and iterative testing). Grok was not involved in final content approval or responsibility. The author assumes full accountability for the paper’s integrity and originality.

Fields of Study & Subjects

Relativity and Gravitational Theory Noncommutative and Quantum Gravity Theories Cosmology and Gravitation Theories

Publication details

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