How Temporal Flow Theory Redefines Quantum Gravity

How Temporal Flow Theory Redefines Quantum Gravity
John Gavel

What if gravity wasn’t a force, but a reflection of how time flows? In mainstream physics, the Schrödinger equation and Einstein’s field equations live in separate domains—quantum vs. gravity. Bridging them has long been one of science’s holy grails. But what if we’ve been approaching it from the wrong angle?

Welcome to Temporal Flow Theory (TFT), where the interaction of time itself—measured in discrete Planck intervals—gives rise to gravity, quantum behavior, and spacetime geometry.

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Flow Accumulation and Gravity

In TFT, mass doesn’t “bend” spacetime—it accumulates temporal flow. Each flow is directional, either positive or negative, and interacts according to:

$$\Phi(r) = \sum_i S_i \cdot F_i(r)$$

This defines the gravitational potential $\Phi(r)$ as an accumulation of flows $F_i(r)$, each with a directionality $S_i$. When these flows approach the speed of light $c$, they don’t explode into a singularity. Instead, they reflect, reversing direction and stabilizing the system:

$$F(r) \geq c \Rightarrow F(r) = -F(r)$$

This reflection mechanism is key—it avoids infinities and redefines what we once called a "black hole."

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No Event Horizon, Just Extreme Redshift

In traditional general relativity, event horizons mark the boundary beyond which nothing escapes. TFT changes this picture.

At the critical radius $r_s$, the flow is near but not at $c$. The metric component becomes:

$$g_{tt}(r) = -\left(1 - \frac{F(r)}{c}\right)$$

As $F(r) \rightarrow c$, the gravitational redshift becomes:

$$z = \frac{1}{\sqrt{-g_{tt}(r)}} - 1$$

This yields very large but finite redshifts—around 7× for near-horizon flows—meaning light slows dramatically, but never stops. In this model, nothing truly gets trapped. It's not a black hole; it's a flow trap.

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Quantum Mechanics Meets Curved Flow

Now for the elegant part: TFT modifies the Schrödinger equation to include gravitational effects—not through gravitons, but via flow-induced potential.

The Modified Schrödinger Equation:

$$i\hbar \frac{\partial \psi}{\partial t} = \left[ -\frac{\hbar^2}{2m} \nabla^2 + V_{\text{flow}}(r) \right] \psi$$

Where:

$$V_{\text{flow}}(r) = \lambda \sum_i S_i \cdot F_i(r)$$

Here:

• $\psi$: the quantum wavefunction

• $F_i(r)$: accumulated temporal flows

• $\lambda$: coupling strength between quantum systems and flow curvature

This coupling introduces a direct sensitivity of quantum states to gravitational flow, which:

• Creates interference patterns that match areas of strong curvature

• Explains gravitational lensing quantum-mechanically

• Removes the need for separate "force carriers" like gravitons

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Quantum Interference and Curved Space

When we simulate wavefunctions in regions where flow accumulation peaks (e.g., near a massive body), we observe interference patterns that shift and compress. This is due to $V_{\text{flow}}(r)$ acting like a gravitational lens within the quantum probability field.

Stunning Result:

• Quantum particles "feel" gravity naturally

• Interference responds to flow just as light curves in GR

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A New Paradigm

Temporal Flow Theory doesn’t add complexity—it simplifies. With:

• Discrete Planck-scale flows instead of a continuous manifold

• Flow inversion instead of singularities

• Natural quantum-gravitational coupling without force particles

…it offers a fresh, testable framework for unifying our deepest theories.

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Final Thoughts

• Gravity may not be a force

• Time may not be static (as seen through relativity and time dilation)

• The future of physics might lie in how flows reflect, accumulate, and interfere

We're just beginning to map this landscape, but TFT provides the compass.