GWT - Gronau World Theory

SummaryThis work presents the Gronau World Theory (GWT) – a new ontology of physics in which relative space is the fundamental carrier of reality, and gravitation acts as an extrinsic curvature of this space into higher dimensions. Time arises as a projection effect from the dynamics of the curved space; the speed of light c is a property of the medium “space” and appears constant in projection. In this way, GWT replaces the stage of spacetime and formulates gravitation and quantum mechanics from one and the same geometric principle. The core of the theory is a staged embedding logic:• DFT (Three-Surface Theory, 3 → 4): the 3D space curves into a fourth spatial dimension; “above” (in 4D) is taken to be flat• VFT (Four-Surface Theory, 4 → 5): extension by a fifth spatial dimension; “above” (in 5D) is taken to be flat• Tail / ∞FT: controlled contributions from further dimensions with a clear dependence on scale and cosmic epoch From this ladder, new, citable fundamental equations are derived and given explicit names (fully numbered in the text):• GravG-I (DFT) and GravG-II (VFT): gravitational law in relative space with saturation coordinate χ(·), projectors and a scale-activated correction stage• GLens-I (DFT) and GLens-II (VFT): lensing equations as projections of an “above” flat channel; for small scales coincident with the standard 1/b laws, for clusters with a defined under-coverage in DFT and a targeted lift in VFT• QuantGWT-DFT and QuantGWT-VFT: first formulation of quantum mechanics from a relative-space ontology. The non-relativistic leading order has formal similarity to the Schrödinger form, but rests on a different ontology (curvature dynamics instead of a predefined spacetime) and is systematically extended in higher stages (VFT, tail) Central statements and achievements1. New ontology. Reality consists of curvature of 3D space into higher dimensions. Matter is a stable curvature pattern, not a “thing in space”. Gravitation follows flat, shortening paths “above” (no snake-like detours). Time is a relative projection of this dynamics.2. Unifying mechanism. Dynamics (rotation curves), lensing (deflection angles) and quantum behaviour (bound states, continuity/Born rule) all emerge from the same geometric principle. The same scale parameters ℓ and the same projectors control the phenomena across all regimes.3. Scale diagnostics instead of dark matter. DFT reproduces galactic phenomena; cluster scales show a structural under-coverage (typically 15–20 %), which is lifted precisely there by VFT. The theory therefore predicts coherent patterns in dynamics and lensing – a clearly testable fingerprint.4. Quantum mechanics re-founded. QuantGWT shows that the Schrödinger form follows from curvature dynamics of relative space (not from a given spacetime stage). Higher stages provide geometric corrections via VFT/tail. Quantum mechanics is thus explained from the correct ontology and made systematically extendable.5. Cosmological embedding. The length scale ℓ(t) grows with cosmic epoch; as a result, tail contributions become increasingly relevant. This offers a natural framework for late-time cosmic scaling, lensing excesses on very large structures and a new view on vacuum and “constant” problems.6. Absence of singularities in the 3D sense. Extreme curvatures generate non-Cartesian expansions and pinchings of space (bulged inside, narrow outside) instead of “point singularities” in the 3D slice. Space gains volume through curvature instead of “ending” in a divergence.7. Particles as curvature patterns. Elementary and composite states appear as stable modes of the embedded space; internal degrees of freedom arise from multi-component curvatures and orientations in the embedding directions. This makes many “low-hanging fruits” of particle behaviour geometrically accessible. Significance for human self-understandingBeyond its technical scope, this publication marks another major step in humanity’s attempt to understand and describe the world it inhabits. GWT makes explicit: everything that exists – galaxies, atoms, living beings, consciousness – is a curvature pattern of relative space along a higher-dimensional trajectory. Humans are therefore not in space but part of space: a concrete, stable geometric form that curves together with space. This insight places everyday intuitions about the world on a new, precise foundation and opens the view towards a unified description of cosmos, matter and mind. Path to tests and reproducibilityThe appendices provide complete reproducibility specifications (constants, pseudocode, test cases for SIS lenses, Hernquist dynamics and coupled consistency tests). The theory is predictive: DFT→VFT produces correlated lifts in dynamics and lensing at r ∼ ℓ; for r ℓ the DFT form remains valid. The names GravG-I/II, GLens-I/II, QuantGWT-DFT/VFT allow unambiguous citation of the new classes of equations. Historical contextGWT stands in the tradition of geometric gravitation pioneered by Galileo, Riemann and General Relativity, and carries it further: not spacetime is curved, but real space is extrinsically curved and projected into 3D. From this perspective, dynamics, lensing and quantum phenomena appear as aspects of a single geometric structure. In scope and consequences, this represents a historical shift in the ontological foundation of physics. ConsequencesGWT provides a clear roadmap for experiments, simulations and phenomenological applications:• galaxies (DFT-dominated)• clusters (VFT activation)• very large-scale structures and late epochs (tail growth)• microscopic modes (particles as curvature figures)• interpretation of time and c as properties of space• black holes without 3D singularities ConclusionGWT claims to be a theory of everything in the ontological sense: it specifies what the world is (curvature of relative space) and how gravitation, quantum mechanics and cosmic scales emerge from one and the same geometric law. The equations presented here mark the historical starting point for the full mathematical elaboration – from DFT through VFT to the controlled tail and beyond – and they anchor the insight that world and human are one single geometry.