u/Live_Essay1223

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Hi everyone,

I’ve been exploring a conceptual framework to bridge quantum mechanics and general relativity by rethinking spacetime not as a continuous geometric manifold, but as a discrete, dynamic matrix of space pixels (10^{-35}\text{ m}) fed by a sub-manifold / external source ("meta-space").

Here is a breakdown of the core mechanics and toy equations:

1. Space Metric & Gravity as a Flow

Instead of curved static space, we adopt Gullstrand-Painlevé coordinates to model a flat 3D space that flows dynamically:

* Expansion / Dark Energy: The vacuum constantly receives fresh pixels from the source at a rate proportional to \Lambda.

* Gravity: Matter acts as a sink/consumer of space pixels. The velocity of the incoming spatial stream toward a mass M matches the Newtonian escape velocity:

2. Continuity & Conservation

The density of space pixels \rho_p follows a continuity equation with source and sink terms:

* S_{\text{source}} = \Lambda c \cdot \rho_p (Vacuum pixel injection \rightarrow Expansion)

* D_{\text{sink}} = \kappa T_{\mu\nu} u^\mu u^\nu (Matter absorption \rightarrow Gravity)

3. Time as Processing Power (No Fundamental Time Dimension)

There is no fundamental T dimension; "time" is strictly the system's refresh rate (d\tau/dt). Each pixel has a fixed maximum processing bandwidth c.

* Special Relativity: High spatial velocity consumes pixel bandwidth, reducing internal refresh rate (d\tau/dt \to 0).

* General Relativity: High spatial flux near dense matter saturates processing power, causing gravitational time dilation.

4. Black Holes as Recycling Valves

At the event horizon (v(r) = c), spatial processing saturates locally (d\tau/dt = 0). Saturated pixels are flushed back to the source, maintaining Bekenstein-Hawking entropy scaling:

Questions for Theoretical Physicists / Researchers:

* How could this "space flow" approach strictly preserve Lorentz Invariance without introducing preferred-frame anomalies at high energies?

* Does this mathematical setup overlap with existing work in Causal Dynamical Triangulations (CDT) or Emergent Gravity (Verlinde / Padmanabhan)?

* What are the main mathematical roadblocks you see in formalizing this into a testable field theory?

Looking forward to your critical feedback and suggestions!

.

Hi everyone,

I’ve been exploring a conceptual framework to bridge quantum mechanics and general relativity by rethinking spacetime not as a continuous geometric manifold, but as a discrete, dynamic matrix of space pixels (10^{-35}\text{ m}) fed by a sub-manifold / external source ("meta-space").

Here is a breakdown of the core mechanics and toy equations:

1. Space Metric & Gravity as a Flow

Instead of curved static space, we adopt Gullstrand-Painlevé coordinates to model a flat 3D space that flows dynamically:

* Expansion / Dark Energy: The vacuum constantly receives fresh pixels from the source at a rate proportional to \Lambda.

* Gravity: Matter acts as a sink/consumer of space pixels. The velocity of the incoming spatial stream toward a mass M matches the Newtonian escape velocity:

2. Continuity & Conservation

The density of space pixels \rho_p follows a continuity equation with source and sink terms:

* S_{\text{source}} = \Lambda c \cdot \rho_p (Vacuum pixel injection \rightarrow Expansion)

* D_{\text{sink}} = \kappa T_{\mu\nu} u^\mu u^\nu (Matter absorption \rightarrow Gravity)

3. Time as Processing Power (No Fundamental Time Dimension)

There is no fundamental T dimension; "time" is strictly the system's refresh rate (d\tau/dt). Each pixel has a fixed maximum processing bandwidth c.

* Special Relativity: High spatial velocity consumes pixel bandwidth, reducing internal refresh rate (d\tau/dt \to 0).

* General Relativity: High spatial flux near dense matter saturates processing power, causing gravitational time dilation.

4. Black Holes as Recycling Valves

At the event horizon (v(r) = c), spatial processing saturates locally (d\tau/dt = 0). Saturated pixels are flushed back to the source, maintaining Bekenstein-Hawking entropy scaling:

Questions for Theoretical Physicists / Researchers:

* How could this "space flow" approach strictly preserve Lorentz Invariance without introducing preferred-frame anomalies at high energies?

* Does this mathematical setup overlap with existing work in Causal Dynamical Triangulations (CDT) or Emergent Gravity (Verlinde / Padmanabhan)?

* What are the main mathematical roadblocks you see in formalizing this into a testable field theory?

Looking forward to your critical feedback ?