Advancing the unification of probability, curvature, and quantum emergence through Entanglement Compression Theory (ECT).
Committed to open access to knowledge – not centralized ownership.
Compression Theory Institute
Milestone Result: Einstein Gravity Without Probabilistic Assumptions
Deterministic Quantum Gravity from Entanglement Compression: An Einstein-Extension of ECT
Develops the completed Einstein-Extension of Entanglement Compression Theory, deriving spacetime curvature as a deterministic geometric response to amplitude compression. Establishes controlled limits recovering general relativity and quantum mechanics, and defines coefficient-anchored, falsifiable signatures without invoking stochastic dynamics or additional fields.
DARK MATTER UNNECESSARY
Spacetime Emergence from Deterministic First Principles Demonstrated
Under the Primordial Wave Equation with the ECT compression field, a stable
halo forms as a natural consequence of deterministic compression. This halo
reproduces the effective gravitational role attributed to dark matter in
standard cosmology without invoking any particle component, and provides
the background structure from which baryonic disks naturally develop.
Deterministic structure formation under the Primordial Wave Equation (PWE).
A perturbed oscillatory field evolves into a stable compression-supported halo
and collapses to a sharply localized mathematical singularity.
No external potentials, stochastic terms, or symmetry constraints are imposed.
Have you ever wondered what the Big Bang really was, not just when it happened, but why it happened at all?
Entanglement Compression Theory (ECT) begins with that question and extends it to others that have challenged physics for a century:
What is dark matter? What is dark energy? Why do quantum systems appear probabilistic while the universe itself is geometric and causal?
ECT is a unified deterministic framework linking quantum mechanics, general relativity, and cosmology.
It identifies the shared physical mechanism beneath all three: the compression of an entangled oscillatory field that gives rise to motion, structure, and spacetime itself.
From that process, the universe evolves naturally, not from an explosion but from the continuous self-organization of energy.
Modern physics already hints that spacetime was not the beginning; it was a product of something deeper.
ECT defines that deeper mechanism: causation as compression, the way energy folds into geometry and divides into the patterns we call matter and probability.
Every structure in the universe, from quantum waves to galaxies, is an expression of that same compression law.
See how ECT derives probability from first principles →
Rather than treating probability as a mystery or dark matter as an invisible particle, ECT derives them both from one universal wave equation.
It replaces assumptions with derivations and connects the smallest quantum amplitudes to the largest cosmic geometries.
ECT is therefore more than a theory of unification; it is a theory of emergence, explaining how the universe creates itself through the deterministic compression of entanglement.
It provides a coherent, testable bridge between quantum mechanics, general relativity, and cosmology, and a new way of understanding reality itself.
Truncated abstract: Derives Born weights from the operative wave equation with a real, multiplicative compression operator; formalizes the universal wave function, energy-share lemma, and quantitative linear limit; lays out falsifiable regimes and observational signatures.
Truncated abstract: Poses oscillation as the first motion and minimal action carrier; links Planck-scale amplitude cycles to dimensional span and tick; connects compression to curvature emergence.
Truncated abstract: Presents the compression tensor, metric deformation, and effective observables; proves the Born Weights Theorem under A0–A5; details quantitative linear limits and experimental response scales.
Truncated abstract: Introduces the Einstein-Extension of Entanglement Compression Theory, linking the symmetric compression tensor Cμν(sym) directly to metric response and curvature structure. Establishes a deterministic curvature mechanism driven by amplitude compression, clarifies limiting regimes recovering GR and nonrelativistic quantum dynamics, and outlines falsifiable geometric signatures under coefficient-anchored bounds.
Truncated abstract: Establishes global well-posedness in H¹ for d ≤ 3 under bounded ∂t𝓘; proves conservation laws; clarifies unit system and compression–geometry coupling; outlines gravitational signatures and test protocols.
Explains how Entanglement Compression Theory derives the Born rule directly from energy division, without assuming probability as a postulate. Walks through the full mathematical derivation from the Primordial Wave Equation to the deterministic emergence of measurement outcomes.