Universal Wavefunction and Cosmic Evolution

We propose a theoretical framework in which the universe is described as a coherent, multidimensional
wavefunction with a principal direction of propagation. This formulation naturally gives rise to the arrow of
time, cosmic expansion, and large-scale uniformity without invoking inflation, a cosmological constant, or an
initial singularity. The scalar envelope of the wavefunction defines a critical hypersurface in the form of a
three-dimensional sphere (3-sphere), whose time evolution corresponds to the observable expansion of space.
The framework predicts novel phenomena, including a time-dependent acceleration that gradually decreases over
time, and a global conservation law that results in an increasing mass-energy content of the universe throughout
its evolution. Analytical estimations within this model yield results in close agreement with current astronomical
observations, including the present-day rate of cosmic expansion, 𝐻 = 71 km/s/Mpc. The model offers a novel
interpretation of dark energy, identifying it not as an internal force but as the portion of the wavefunction that
is causally disconnected and enclosed by the 3-sphere. Furthermore, the gravitational constant emerges as a
consequence of a conservation law associated with the wavefunction’s evolution, and its value predicted by
the model, 𝐺𝑁 = 6.6743 × 10−11 m3 kg−1 s−2, matches empirical measurements. These findings point to a
deep, intrinsic connection between quantum structure and gravitational dynamics, suggesting that the universe
itself may resemble the horizon of a higher-dimensional black hole. The presented framework provides a selfconsistent,
geometrically grounded approach for unifying quantum principles with cosmological evolution and
offers a promising basis for future developments in quantum cosmology and gravitational theory.