Postulates — Phase Relativity

Mauricio Maniga

Section 01 · Foundations

Fundamental Postulates

Three axioms structure the whole theory: the cosmos is a closed three-dimensional sphere, its boundary is a holographic screen and time flows in universal synchrony.

I. Geometry of Dimensional Confinement (The Box)

Theory

Continuous three-dimensional space is neither flat ( $k = 0$ ) nor of infinite extent. Each autonomous dimension constitutes an isolated system of closed coordinates, a three-dimensional sphere ( $S^{3}$ ) embedded in a four-dimensional space (Bulk).

Local baryonic matter and radiation are permanently restricted to this geometry. Every linear geodesic returns to its starting point: when it approaches the periphery, the displacement vector undergoes symmetric deflection about the center ( $f (x) t o - f (x)$ ). Bodies such as Earth are discrete mass elements contained in the hypersphere, not the whole of it.

d s^{2} = R^{2} [d χ^{2} + sin^{2} χ (d θ^{2} + sin^{2} θ d ϕ^{2})], χ \in [0, π]

Eq. (1) — metric of the three-dimensional sphere of radius R

Geodesic evolution on S³

Simulação

Initially straight trajectories return to their starting point (topological confinement in a three-dimensional sphere).

II. Holographic Projection Horizon (The Sky-Screen)

Theory

The boundary of the three-dimensional sphere acts as a two-dimensional Bekenstein–Hawking frontier. By the Holographic Principle, all volumetric information is encoded on this shell — but what it re-emits back into the Box is genuinely 3D.

S = \frac{A}{4 ℓ _{P}^{2}}, A = 2 π^{2} R^{2} (for S^{3})

Eq. (2) — entropy of the holographic boundary

Deep-sky stars and galaxies are real 3D bodies, with their own depth, parallax and gravitational dynamics — but their ontological source lies in other Boxes of the Bulk. The visible sky is therefore an operational 3D map of other dimensions, encoded and re-emitted by the local holographic screen: analogous to the emergent bulk in AdS/CFT, where bulk objects are three-dimensionally real even though they are described by the boundary.

Since there is no continuous molecular mesh crossing this encoding, the holographic vacuum remains intrinsically silent — sound waves stay restricted to the local Dense State.

Scientific lens

Speculative

The formula $S = A / (4 e l l_{P}^{2})$ is genuine, derived for black-hole horizons. The cosmological holographic principle has a legitimate theoretical lineage ('t Hooft 1993, Susskind 1995, Bousso 1999) and a proof of concept in AdS/CFT — where the 3D bulk is genuinely three-dimensional, even though dual to a 2D boundary.

The reading proposed here — stars as real 3D bodies whose source is in another Box, operationally projected in 3D by the holographic boundary — is compatible with Gaia parallax, gravitational lensing and GW170817, which measure three-dimensional depth. Those data would only refute the strong version (a literally flat 2D sky), which is not what is being claimed.

Honest caveats: (i) AdS/CFT is established for anti-de Sitter space, not for the observable universe, better described by de Sitter, where no closed holographic duality exists; applying it to S³ is extrapolation. (ii) "Source is in another Box" has no observable that distinguishes it from "source is here, far away" — it is ontological interpretation, not falsifiable prediction, until it yields a differential signature (spectral anisotropy, non-local correlations between sky regions, etc.). (iii) Sound not propagating in vacuum is trivially true and independent of holography.

III. Simultaneity and Phase Temporal Signature

Theory

The cosmos operates under a Universal Synchronous Flow Vector — a preferred foliation of the Bulk, indexed by the Phase Temporal Signature $T_{s}$ . This coordinate "now" advances at an identical rate in every hypersphere, but is not directly observable.

What each observer measures with physical clocks is local time: the product of atomic oscillation coupled to the Box's basal frequency, modulated by velocity and gravitational potential. This coupling varies exactly as SR/GR describes — Hafele–Keating, GPS and muons measure that local modulation, not the underlying foliation $T_{s}$ .

Past, present and future exist statically in the Block Universe (Minkowski); the universal phase front is the "now slice" of that structure.

Scientific lens

Speculative

Read charitably, this is a neo-Lorentzian interpretation of Relativity: empirically equivalent to SR/GR for every known experiment, but postulating an undetectable preferred frame and a background absolute simultaneity. A minority position, but a serious one (Bell 1976, Maudlin 2011); some interpretations of quantum mechanics (Bohmian, GRW) require something analogous to reconcile non-locality with Relativity.

The time dilation measured in Hafele–Keating, GPS (~38 µs/day) and cosmic-ray muons is, on this reading, the local atomic coupling to the Box's basal frequency varying with velocity and gravity — exactly what the theory predicts. These experiments do not refute the foliation $T_{s}$ ; they only confirm local time.

Honest caveats: (i) the foliation's invisibility is what makes it unfalsifiable — Occam's razor cuts against it while ΛCDM + GR work without invoking it; (ii) in fully covariant GR, preferred foliations break general covariance and survive only in models with explicit breaking (Hořava–Lifshitz 2009); (iii) the Block Universe itself is an eternalist interpretation compatible with GR.