Noriaki Kihara

Designing a Research Project to Explore the Emergence of Spacetime, Particles, and Interactions from States and Relations: A Framework of Preliminary Design and Feasibility Verification for Foundational-Physics Model Exploration under Uncertainty

This paper presents no completed physical theory. The Standard Model and General Relativity are highly successful in their respective domains, yet no framework uniquely recovers low-energy physics, a quantum description of spacetime, the cosmological background, and observables a...

Designing a Research Project to Explore the Emergence of Spacetime, Particles, and Interactions from States and Relations: A Framework of Preliminary Design and Feasibility Verification for Foundational-Physics Model Exploration under Uncertainty

This paper presents no completed physical theory. The Standard Model and General Relativity are highly successful in their respective domains, yet no framework uniquely recovers low-energy physics, a quantum description of spacetime, the cosmological background, and observables a...

Anonymity and the Minimal Unit of Information: A Single Wave Cannot Carry Information, and the Minimal Zero-Closure Block (Two-Wave +-i Pair) Carries the S_N-Invariant Type (Exploratory Paper)

Paper 9 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). An exploratory/study paper. Edge labels are an S_N gauge; terminal states are exactly equimodular and indistinguishable by value, so the indistinguishability of identical particles...

The Qualification for Ignition Is an Unstable Relative Equilibrium: A Qualification Screening of Three Initial-Value Families in a Relational-Wave Closed System

Paper 2 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). Using a controlled experiment in which only the initial value (floor) is swapped while the physical map is unchanged, we establish that the inflation (Paper 6) and SSB (Paper 5) of...

Zero-Closure Factorization of the High-Symmetry Floor: Complete +-i Photon-Pair Covering for Even Systems N=8k and the Minimal p-Wave Condensate for Odd Systems

Paper 4 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). Reconstructing the floor z_ij=r_d e^{i2pi(i+j)/N} from its defining formula and auditing all pairs/3-waves/4-waves, we prove a cyclic square-wave factorization theorem: the squared...

The Equation of Motion of a Single Wave in a Relational-Wave Closed System: Kuramoto-Type Phase Coupling on L(K_N) and the Condition for a Self-Consistent Floor on the 90-Degree Phase-Difference Skeleton

Paper 1 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). For the closed-system map z -> exp(dtau K) z on the line graph L(K_N) with a phase-only real antisymmetric generator (defined in the prior work, Concept DOI 10.5281/zenodo.22112008)...

The Additivity Law of the Terminal Equal Amplitude a_inf=sqrt(H/M): Separating Terminal Universality from Ignition Dynamics (N=9 alone vs N=7+N=6, three initial-value families)

Paper 8 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). The terminal ring radius is determined solely by the extensive quantities (H,M) as a_inf=sqrt(H/M); mixing heterogeneous subsystems with matched density H_i/M_i is indistinguishable...

The Inflation Curve Is the Exponential Amplification of the Linearly Unstable Mode of the Floor: The Largest Eigenvalue of the Floor Jacobian and Non-Normal, Time-Varying Corrections

Paper 6 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). The inflation curve H_perp/H(t) ~ seed^2 |mu_max|^{2t} is the exponential amplification of the linearly unstable mode of the floor: ramp slope 2 log10|mu_max|, onset ~ ln(1/seed)/ln...

Post-Lock Geometry: Double Rotation and the 4-Dimensional Span, and that Plane Switching Is Not an Aggregation Artifact of Long-Window SVD

Paper 7 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). After the lock, the state is instantaneously rank 2 (a real orthogonal rotation z_t=M_t z_0). Under SSB the floor plane P_0 tilts, and the two principal angles between P_0 and the t...

The Additivity Law of the Terminal Equal Amplitude a_inf=sqrt(H/M): Separating Terminal Universality from Ignition Dynamics (N=9 alone vs N=7+N=6, three initial-value families)

Paper 8 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). The terminal ring radius is determined solely by the extensive quantities (H,M) as a_inf=sqrt(H/M); mixing heterogeneous subsystems with matched density H_i/M_i is indistinguishable...

Dynamics of a Self-Consistent Relational-Wave Closed System: From the Local Instability of the 90-Degree Relative Equilibrium to Inflation, Spontaneous Symmetry Breaking, Grassmann Geometry, Terminal Universality and Relationalism

Paper 0 (capstone) of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). This capstone assembles the results established by Papers 1-9 into a single causal chain: (single-wave equation of motion) -> (90-degree self-consistent relative-equilibr...

Spontaneous Symmetry Breaking and Degenerate Vacua from the 90-Degree Floor: Symmetry Breaking by an Infinitesimal Seed and the Delta=-2pi/N Lock (Exhaustive N=6,...,40)

Paper 5 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). The 90-degree floor is an unstable maximally symmetric equilibrium (the summit of a Mexican hat). An infinitesimal seed of amplitude 1e-8 in different directions breaks the symmetry...

The Qualification for Ignition Is an Unstable Relative Equilibrium: A Qualification Screening of Three Initial-Value Families in a Relational-Wave Closed System

Paper 2 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). Using a controlled experiment in which only the initial value (floor) is swapped while the physical map is unchanged, we establish that the inflation (Paper 6) and SSB (Paper 5) of...

Zero-Closure Factorization of the High-Symmetry Floor: Complete +-i Photon-Pair Covering for Even Systems N=8k and the Minimal p-Wave Condensate for Odd Systems

Paper 4 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). Reconstructing the floor z_ij=r_d e^{i2pi(i+j)/N} from its defining formula and auditing all pairs/3-waves/4-waves, we prove a cyclic square-wave factorization theorem: the squared...

The Inflation Curve Is the Exponential Amplification of the Linearly Unstable Mode of the Floor: The Largest Eigenvalue of the Floor Jacobian and Non-Normal, Time-Varying Corrections

Paper 6 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). The inflation curve H_perp/H(t) ~ seed^2 |mu_max|^{2t} is the exponential amplification of the linearly unstable mode of the floor: ramp slope 2 log10|mu_max|, onset ~ ln(1/seed)/ln...

Spontaneous Symmetry Breaking and Degenerate Vacua from the 90-Degree Floor: Symmetry Breaking by an Infinitesimal Seed and the Delta=-2pi/N Lock (Exhaustive N=6,...,40)

Paper 5 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). The 90-degree floor is an unstable maximally symmetric equilibrium (the summit of a Mexican hat). An infinitesimal seed of amplitude 1e-8 in different directions breaks the symmetry...

Analytic Exact Solution of the 90-Degree High-Symmetry Floor: The sigma_max Eigenmode of the Integer Antisymmetric Generator Defined by Z4 Phase Labels, and the Closed-Form Spectrum

Paper 3 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). Quantizing the phase to the Z4 label k_e=(i+j) mod 4 makes the generator K_ef=A_ef sin(90deg (k_f-k_e)) an integer matrix (0,+-1), so the floor is algebraically exact as the sigma_m...

Post-Lock Geometry: Double Rotation and the 4-Dimensional Span, and that Plane Switching Is Not an Aggregation Artifact of Long-Window SVD

Paper 7 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). After the lock, the state is instantaneously rank 2 (a real orthogonal rotation z_t=M_t z_0). Under SSB the floor plane P_0 tilts, and the two principal angles between P_0 and the t...

Stage Decomposition of the Self-Consistent Inflation Mechanism and Its Full-Range Reproduction for N=3..40: A Reproduction Specification

A reproduction specification (an overview plus three chapter papers) that fixes, in a fully reproducible form, the mechanism of inflation-like development in N-body relation-wave closed systems: a seed at dormant fraction ~1e-30 amplified exponentially by the dynamics alone until...

Stage Decomposition of the Self-Consistent Inflation Mechanism and Its Full-Range Reproduction for N=3..40: A Reproduction Specification

A reproduction specification (an overview plus three chapter papers) that fixes, in a fully reproducible form, the mechanism of inflation-like development in N-body relation-wave closed systems: a seed at dormant fraction ~1e-30 amplified exponentially by the dynamics alone until...