The Cosmological Constant from Wave Information

The cosmological constant problem is the worst prediction in the history of physics—a discrepancy of 120 orders of magnitude between quantum field theory and observation that has resisted solution since Einstein introduced the term in 1917.

This paper presents a complete resolution in two parts.

First, baseline subtraction. If gravity is not fundamental but emerges from the compression of a discrete spacetime lattice whose spacing depends on the intensity of underlying fields, then uniform vacuum energy does not gravitate. The vacuum is the baseline oscillation of the space and time fields that constitute spacetime itself. Only spatial variations in field intensity produce gravitational effects. The 10^120 discrepancy is not a fine-tuning problem—it is a category error. Vacuum energy is real, but it does not curve spacetime because it is the uniform baseline of spacetime.

Second, the residual cosmological constant is determined by the finite information capacity of the observable universe. The information content of a wave is the area under its intensity curve, integrated over the domain bounded by the cosmic horizon. The space wave and time wave both integrate over the same horizon. The total information capacity is the horizon area in Planck units. Because the canvas is deterministic—not statistical—the finest resolvable fractional difference between two amplitudes is one part in the total information. The minimum asymmetry between space and time wave amplitudes is therefore about one part in ten to the one hundred and twenty-second power. The resulting cosmological constant matches the observed value within a factor of order unity.

This resolves all three parts of the cosmological constant problem. The old problem—why the cosmological constant is not huge—is solved by baseline subtraction. The new problem—why it has its observed small value—is solved by finite horizon information. The coincidence problem—why dark energy and matter densities are comparable today—is solved because both scale with the cosmic horizon.

The cosmological constant is not a fundamental constant of nature. It is determined by the size of the observable universe. The dark energy equation of state is predicted to deviate from w equals minus one in a specific, testable way with upcoming surveys.

This work is extracted from the Emergence model, a unified framework in which spacetime, quantum mechanics, gauge forces, and gravity all emerge from wave dynamics on a pre-geometric canvas. The present paper is self-contained and can be read independently.