Theoretical Closure of the Nakaza New Relativity Theory (NNRT)

physical referent of the mathematical structure of relativity without altering the mathematical formalism that has been established for more than a century. Its innovation does not consist in appending a new relativistic field equation. Rather, while retaining the Lorentz transformation, the Minkowski metric, the Ein-stein field equations, and the Schwarzschild solution, NNRT relocates them from the mathematics of a “deforming real spacetime” to the mathematics of an “observational spacetime generated through physical interaction.”

The point of departure of NNRT is a strict separation between real spacetime and observational spacetime. Time and space are regarded as universal substrates common to all inertial frames and are not themselves treated as physical entities that undergo dilation, contraction, or curvature. Accordingly, the Galilean transformation is retained for real motion between inertial frames, whereas a physically distinct observation map Φ is introduced for mutual observation mediated by electromagnetic waves.

For the electromagnetic phase Θ, NNRT postulates phase universality, Θ′ = Θ: the same phase event corresponds to the same event in different observational systems. Since the angular frequency ω and wave vector k are respectively the temporal and spatial gradient components of the same phase, they transform jointly under a change of observational frame. Requiring, in addition, preservation of the characteristic structure of the vacuum Maxwell equations yields a Lorentz-type transformation on observational coordinates and preserves the vacuum dispersion relation ω² − c²|k|² = 0. Consequently, ω′/ω = |k′|/|k| follows, and the observational invariance ω/|k| = c is repositioned from an independent postulate to a consequence of phase and Maxwell structure.

In a gravitational field, the observation map is generalized to a position-dependent map Φg, and the changes in ω, k, Θ, clock readings, distances, propagation times, and light paths are unified by an observational metric gobs. Applying the Einstein–Hilbert action to this observational metric yields the Einstein field equation without alteration. NNRT therefore preserves the mathematical achievements of relativistic gravitation while reinterpreting curvature as curvature of the observational metric rather than as curvature of real spacetime itself.

This transition is not terminological. It reverses a worldview that has dominated relativistic physics for more than a century: instead of assuming that relativistic observations arise because real spacetime itself is deformed, NNRT holds that physical interactions alter electromagnetic and operational observables, and that relativistic spacetime emerges when the resulting observational structure is geometrized. The discovery embodied in NNRT is therefore the possibility of preserving the full relativistic mathematical structure while transferring its ontological foundation from real spacetime to observational spacetime, thereby al-lowing invariant time and space to coexist with relativistic observational geometry.

File 1: in English

File 2: in Japanese