Meaning Precedes Truth: Two-Dimensional Field Ontology, S3 Quantization, and Field Confguration Manifolds

We propose a two-dimensional feld ontology framework whose frst axiom is that mean-ing precedes truth. The world is composed of three irreducible dimensions: Entity (E),Direction (D), Time (T). The state at each spacetime point is uniquely determined by the two-dimensional feldΦ(x,y,t) = (E,D,T),The three dimensions map to the Entity feld,the Guiding feld, and the Experiential feld.Entities are condensed from the Entity feld,Direction is endowed by the guiding mechanism, and Time emerges from experiential devi-ations. The three-dimensional space we perceive is an overlay of the two-dimensional feldR t along the time axis: the third coordinate z = c∥∇E∥dτ folds temporal history into spatial0 depth. Time is not an external parameter but a feld component—the ontological expression of the T component. Evolution is driven by a history-integrated gradient fow, and we prove the Experience H-Theorem (dE/dt≤ 0). The form of the experience functional E is derived strictly from the microscopic dynamics of triplets through coarse-graining and the maximum entropy principle: the system should not favor any microscopic confguration not confrmed by observation. This“no-self-deception principle” elevates meaning from subjective feeling to a computable objective quantity. The ideal steady state E = D = T =π is derived as the evolutionary limit; its irrationality leads to the irrational obstruction—the system approaches forever but cannot reach it exactly. The quantization scheme is completed by the meaningon-triplet theory. S3 symmetry appears at the microscopic level as group selection rules and emerges in the macroscopic classical limit as the same-sign constraint. The three irreducible representations of S3 have defnite ontological correspondences with the EDT dimensions: A1 (the fully symmetric rep-resentation) corresponds to the E feld, A2 (the sign representation) corresponds to the chiral′component of the T feld, and E (the two-dimensional standard representation) corresponds′to the D feld. The linear decomposition of the three-feld space is V = A1⊕ E , while the 3 chiral charge C =ϵijkEiDjTk is a trilinear invariant belonging to∧ V and corresponding to A2. The six independent interaction channels between two quantum pairs constitute the microscopic origin of all fundamental interactions. Narrow two-dimensional feld theory derives the feld equations of all fundamental in-teractions strictly from the evolution equation and the triplet structure. The gravitational feld equation is derived independently through area condensation of E-quantum pairs, the Gauss-Codazzi geometric correspondence, and Lovelock’s theorem. Gauge felds are inter-nal basis compensations of D-quantum pairs: U(1) corresponds to the one-dimensional fully symmetric state, SU(2) to the two-dimensional standard representation, and SU(3) to the three-dimensional single-excitation subspace. The theory predicts the necessary existence of 1 magnetic monopoles with mass about 30TeV. In the low-energy classical limit, the steady-state condition of the evolution equation strictly recovers the Standard Model Lagrangian.In the high-energy limit, the three gauge coupling constants satisfy unifed scaling relations.This paper uses the particle physics spectrum as the principal application and quan-titative verifcation of two-dimensional feld ontology. The ontological attribution of the memory kernel is the D-feld autocorrelation; the E and T felds do not carry historical propagation. This attribution implies a channel dependence of memory-kernel corrections:the U(1) channel corresponds to the E feld, its basis space is orthogonal to the active D-feld component, and its memory-kernel correction vanishes; non-Abelian channels carrypobs memory-kernel corrections. The feld-confguration threshold is C∗ =π/(4N); in parti-obs cle physics N = 9 (the number of charged-fermion Yukawa couplings), giving C∗ = 0.2954.We strictly distinguish axioms, principles, theorems, and hypotheses; physical unreachability and mathematical exactness; construction and verifcation.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23850945
Primary Topic
Relativity and Gravitational Theory
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Meaning Precedes Truth: Two-Dimensional Field Ontology, S3 Quantization, and Field Confguration Manifolds

Xiaoyu Lin, Yangyang Jin
2 links
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Meaning Precedes Truth: Two-Dimensional Field Ontology, S3 Quantization, and Field Confguration Manifolds

Xiaoyu Lin, Yangyang Jin
preprint en

Abstract

We propose a two-dimensional feld ontology framework whose frst axiom is that mean-ing precedes truth. The world is composed of three irreducible dimensions: Entity (E),Direction (D), Time (T). The state at each spacetime point is uniquely determined by the two-dimensional feldΦ(x,y,t) = (E,D,T),The three dimensions map to the Entity feld,the Guiding feld, and the Experiential feld.Entities are condensed from the Entity feld,Direction is endowed by the guiding mechanism, and Time emerges from experiential devi-ations. The three-dimensional space we perceive is an overlay of the two-dimensional feldR t along the time axis: the third coordinate z = c∥∇E∥dτ folds temporal history into spatial0 depth. Time is not an external parameter but a feld component—the ontological expression of the T component. Evolution is driven by a history-integrated gradient fow, and we prove the Experience H-Theorem (dE/dt≤ 0). The form of the experience functional E is derived strictly from the microscopic dynamics of triplets through coarse-graining and the maximum entropy principle: the system should not favor any microscopic confguration not confrmed by observation. This“no-self-deception principle” elevates meaning from subjective feeling to a computable objective quantity. The ideal steady state E = D = T =π is derived as the evolutionary limit; its irrationality leads to the irrational obstruction—the system approaches forever but cannot reach it exactly. The quantization scheme is completed by the meaningon-triplet theory. S3 symmetry appears at the microscopic level as group selection rules and emerges in the macroscopic classical limit as the same-sign constraint. The three irreducible representations of S3 have defnite ontological correspondences with the EDT dimensions: A1 (the fully symmetric rep-resentation) corresponds to the E feld, A2 (the sign representation) corresponds to the chiral′component of the T feld, and E (the two-dimensional standard representation) corresponds′to the D feld. The linear decomposition of the three-feld space is V = A1⊕ E , while the 3 chiral charge C =ϵijkEiDjTk is a trilinear invariant belonging to∧ V and corresponding to A2. The six independent interaction channels between two quantum pairs constitute the microscopic origin of all fundamental interactions. Narrow two-dimensional feld theory derives the feld equations of all fundamental in-teractions strictly from the evolution equation and the triplet structure. The gravitational feld equation is derived independently through area condensation of E-quantum pairs, the Gauss-Codazzi geometric correspondence, and Lovelock’s theorem. Gauge felds are inter-nal basis compensations of D-quantum pairs: U(1) corresponds to the one-dimensional fully symmetric state, SU(2) to the two-dimensional standard representation, and SU(3) to the three-dimensional single-excitation subspace. The theory predicts the necessary existence of 1 magnetic monopoles with mass about 30TeV. In the low-energy classical limit, the steady-state condition of the evolution equation strictly recovers the Standard Model Lagrangian.In the high-energy limit, the three gauge coupling constants satisfy unifed scaling relations.This paper uses the particle physics spectrum as the principal application and quan-titative verifcation of two-dimensional feld ontology. The ontological attribution of the memory kernel is the D-feld autocorrelation; the E and T felds do not carry historical propagation. This attribution implies a channel dependence of memory-kernel corrections:the U(1) channel corresponds to the E feld, its basis space is orthogonal to the active D-feld component, and its memory-kernel correction vanishes; non-Abelian channels carrypobs memory-kernel corrections. The feld-confguration threshold is C∗ =π/(4N); in parti-obs cle physics N = 9 (the number of charged-fermion Yukawa couplings), giving C∗ = 0.2954.We strictly distinguish axioms, principles, theorems, and hypotheses; physical unreachability and mathematical exactness; construction and verifcation.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon