Reproduces standard gravity for fully classical objects
Suppresses gravitational sourcing for highly coherent quantum states
Saturates curvature at high density (no singularities)
Provides a natural quantum→classical crossover scale
The idea is that gravity tracks classicality, not raw mass density.
Where This Might Help
These are not claims — just places where the sourcing rule behaves interestingly:
early supermassive black hole seeds
missing supernova explosion energy
fast pulsar birth spins
tiny cosmological constant (residual tail after early‑universe saturation)
cored dark matter halos (weaker sourcing in low‑classicality regions)
inflation‑like early expansion (curvature saturation)
black hole information retention (finite‑curvature cores)
How to Use the Rule (Drop‑In Examples)
Newtonian Gravity (galaxies)
Replace
with
. Low‑classicality regions → under‑sourced curvature → extended halos.
Friedmann Equation (cosmology)
Replace
with
. Early universe hits saturation → rapid expansion. Slow relaxation → small dark‑energy‑like tail.
Einstein Field Equations
Replace the sourcing term
with a classicality‑weighted effective version. GR itself stays intact.
N‑body simulations
Replace particle mass contribution with
. Low‑classicality regions → naturally cored halos.
Notes on Inflation and the Information Paradox
Inflation
In the early universe,
is extremely high and decoherence is extremely fast. In this sourcing rule, that pushes the argument of the
into the saturation regime. Saturation behaves like a temporary “maxed‑out” curvature state, which naturally produces a rapid expansion phase. As density drops, the system exits saturation on its own.
This gives an inflation‑like behavior without adding new fields or potentials.
Information Paradox
Because curvature saturates instead of diverging, collapse never reaches a true singularity. The interior remains finite and can, in principle, retain quantum information. This doesn’t solve the paradox outright, but it removes the infinite‑curvature region where information is normally thought to be lost.
Both of these are speculative, but the sourcing rule behaves surprisingly well in these regimes.
Relation to Existing Work
Conceptually overlaps with:
gravitational decoherence (Diósi–Penrose)
emergent gravity (Verlinde)
relational QM
semiclassical gravity with modified sourcing
Not claiming novelty — just exploring a compact rule that seems to behave well across several mismatches.
Anticipated Questions
Does this violate stress‑energy conservation?
No. The true stress‑energy tensor is unchanged. Only the effective coupling strength varies with classicality.
Does decoherence depend on environment?
Yes for microscopic systems. Macroscopic bodies decohere so fast that they remain fully classical and source full gravity.
Does this violate the equivalence principle?
Not for classical objects. Only coherent quantum systems would show suppressed gravitational mass — currently below experimental sensitivity.
Closing
This isn’t a replacement for GR or QM — just a compact sourcing rule that ties gravitational strength to classicality. It reproduces classical gravity where it should, suppresses it for coherent quantum states, and touches several astrophysical behaviors normally treated as unrelated.
Feedback, critiques, and “here’s where it breaks” are very welcome.
This may not be the right answer — but the math behaves surprisingly well, so it felt worth sharing.
A compact sourcing rule — feedback welcome
Epistemic Status: speculative toy model; exploratory; posted for critique, not as a claim of correctness.
I’ve been exploring a simple idea:
gravitational sourcing strength might depend on how classical the underlying quantum state has become.
Not “collapse causes gravity,” not “Einstein was wrong,” just a compact sourcing rule that might fill in a missing piece between QM and GR.
Core Sourcing Rule (weak‑field limit)
with the classicality‑weighted effective density
and a saturation‑limited form
This is meant as an effective sourcing strength, not a modification of GR or QM.
Term Definitions
— effective gravitational potential
— averaged classicality‑weighted density
— underlying quantum mass/energy density
— saturation density (natural choice: Planck density)
Reproduces standard gravity for fully classical objects
Suppresses gravitational sourcing for highly coherent quantum states
Saturates curvature at high density (no singularities)
Provides a natural quantum→classical crossover scale
The idea is that gravity tracks classicality, not raw mass density.
Where This Might Help
These are not claims — just places where the sourcing rule behaves interestingly:
early supermassive black hole seeds
missing supernova explosion energy
fast pulsar birth spins
tiny cosmological constant (residual tail after early‑universe saturation)
cored dark matter halos (weaker sourcing in low‑classicality regions)
inflation‑like early expansion (curvature saturation)
black hole information retention (finite‑curvature cores)
How to Use the Rule (Drop‑In Examples)
Newtonian Gravity (galaxies)
Replace
with
. Low‑classicality regions → under‑sourced curvature → extended halos.
Friedmann Equation (cosmology)
Replace
with
. Early universe hits saturation → rapid expansion. Slow relaxation → small dark‑energy‑like tail.
Einstein Field Equations
Replace the sourcing term
with a classicality‑weighted effective version. GR itself stays intact.
N‑body simulations
Replace particle mass contribution with
. Low‑classicality regions → naturally cored halos.
Notes on Inflation and the Information Paradox
Inflation
In the early universe,
is extremely high and decoherence is extremely fast. In this sourcing rule, that pushes the argument of the
into the saturation regime. Saturation behaves like a temporary “maxed‑out” curvature state, which naturally produces a rapid expansion phase. As density drops, the system exits saturation on its own.
This gives an inflation‑like behavior without adding new fields or potentials.
Information Paradox
Because curvature saturates instead of diverging, collapse never reaches a true singularity. The interior remains finite and can, in principle, retain quantum information. This doesn’t solve the paradox outright, but it removes the infinite‑curvature region where information is normally thought to be lost.
Both of these are speculative, but the sourcing rule behaves surprisingly well in these regimes.
Relation to Existing Work
Conceptually overlaps with:
gravitational decoherence (Diósi–Penrose)
emergent gravity (Verlinde)
relational QM
semiclassical gravity with modified sourcing
Not claiming novelty — just exploring a compact rule that seems to behave well across several mismatches.
Anticipated Questions
Does this violate stress‑energy conservation?
No. The true stress‑energy tensor is unchanged. Only the effective coupling strength varies with classicality.
Does decoherence depend on environment?
Yes for microscopic systems. Macroscopic bodies decohere so fast that they remain fully classical and source full gravity.
Does this violate the equivalence principle?
Not for classical objects. Only coherent quantum systems would show suppressed gravitational mass — currently below experimental sensitivity.
Closing
This isn’t a replacement for GR or QM — just a compact sourcing rule that ties gravitational strength to classicality. It reproduces classical gravity where it should, suppresses it for coherent quantum states, and touches several astrophysical behaviors normally treated as unrelated.
Feedback, critiques, and “here’s where it breaks” are very welcome.
This may not be the right answer — but the math seems to work out, so it felt worth sharing.
Just an idea : Gravity May Become Classical When Information Becomes Classical
A compact sourcing rule — feedback welcome
Epistemic Status: speculative toy model; exploratory; posted for critique, not as a claim of correctness.
I’ve been exploring a simple idea:
gravitational sourcing strength might depend on how classical the underlying quantum state has become.
Not “collapse causes gravity,” not “Einstein was wrong,” just a compact sourcing rule that might fill in a missing piece between QM and GR.
Core Sourcing Rule (weak‑field limit)
with the classicality‑weighted effective density
and a saturation‑limited form
This is meant as an effective sourcing strength, not a modification of GR or QM.
Term Definitions
What This Rule Does
Reproduces standard gravity for fully classical objects
Suppresses gravitational sourcing for highly coherent quantum states
Saturates curvature at high density (no singularities)
Provides a natural quantum→classical crossover scale
The idea is that gravity tracks classicality, not raw mass density.
Where This Might Help
These are not claims — just places where the sourcing rule behaves interestingly:
early supermassive black hole seeds
missing supernova explosion energy
fast pulsar birth spins
tiny cosmological constant (residual tail after early‑universe saturation)
cored dark matter halos (weaker sourcing in low‑classicality regions)
inflation‑like early expansion (curvature saturation)
black hole information retention (finite‑curvature cores)
How to Use the Rule (Drop‑In Examples)
Newtonian Gravity (galaxies)
Replace
Friedmann Equation (cosmology)
Replace
Einstein Field Equations
Replace the sourcing term
N‑body simulations
Replace particle mass contribution with
Notes on Inflation and the Information Paradox
Inflation
In the early universe,
This gives an inflation‑like behavior without adding new fields or potentials.
Information Paradox
Because curvature saturates instead of diverging, collapse never reaches a true singularity. The interior remains finite and can, in principle, retain quantum information. This doesn’t solve the paradox outright, but it removes the infinite‑curvature region where information is normally thought to be lost.
Both of these are speculative, but the sourcing rule behaves surprisingly well in these regimes.
Relation to Existing Work
Conceptually overlaps with:
gravitational decoherence (Diósi–Penrose)
emergent gravity (Verlinde)
relational QM
semiclassical gravity with modified sourcing
Not claiming novelty — just exploring a compact rule that seems to behave well across several mismatches.
Anticipated Questions
Does this violate stress‑energy conservation?
No. The true stress‑energy tensor is unchanged. Only the effective coupling strength varies with classicality.
Does decoherence depend on environment?
Yes for microscopic systems. Macroscopic bodies decohere so fast that they remain fully classical and source full gravity.
Does this violate the equivalence principle?
Not for classical objects. Only coherent quantum systems would show suppressed gravitational mass — currently below experimental sensitivity.
Closing
This isn’t a replacement for GR or QM — just a compact sourcing rule that ties gravitational strength to classicality. It reproduces classical gravity where it should, suppresses it for coherent quantum states, and touches several astrophysical behaviors normally treated as unrelated.
Feedback, critiques, and “here’s where it breaks” are very welcome.
This may not be the right answer — but the math behaves surprisingly well, so it felt worth sharing.
A compact sourcing rule — feedback welcome
Epistemic Status: speculative toy model; exploratory; posted for critique, not as a claim of correctness.
I’ve been exploring a simple idea:
gravitational sourcing strength might depend on how classical the underlying quantum state has become.
Not “collapse causes gravity,” not “Einstein was wrong,” just a compact sourcing rule that might fill in a missing piece between QM and GR.
Core Sourcing Rule (weak‑field limit)
with the classicality‑weighted effective density
and a saturation‑limited form
This is meant as an effective sourcing strength, not a modification of GR or QM.
Term Definitions
What This Rule Does
Reproduces standard gravity for fully classical objects
Suppresses gravitational sourcing for highly coherent quantum states
Saturates curvature at high density (no singularities)
Provides a natural quantum→classical crossover scale
The idea is that gravity tracks classicality, not raw mass density.
Where This Might Help
These are not claims — just places where the sourcing rule behaves interestingly:
early supermassive black hole seeds
missing supernova explosion energy
fast pulsar birth spins
tiny cosmological constant (residual tail after early‑universe saturation)
cored dark matter halos (weaker sourcing in low‑classicality regions)
inflation‑like early expansion (curvature saturation)
black hole information retention (finite‑curvature cores)
How to Use the Rule (Drop‑In Examples)
Newtonian Gravity (galaxies)
Replace
Friedmann Equation (cosmology)
Replace
Einstein Field Equations
Replace the sourcing term
N‑body simulations
Replace particle mass contribution with
Notes on Inflation and the Information Paradox
Inflation
In the early universe,
This gives an inflation‑like behavior without adding new fields or potentials.
Information Paradox
Because curvature saturates instead of diverging, collapse never reaches a true singularity. The interior remains finite and can, in principle, retain quantum information. This doesn’t solve the paradox outright, but it removes the infinite‑curvature region where information is normally thought to be lost.
Both of these are speculative, but the sourcing rule behaves surprisingly well in these regimes.
Relation to Existing Work
Conceptually overlaps with:
gravitational decoherence (Diósi–Penrose)
emergent gravity (Verlinde)
relational QM
semiclassical gravity with modified sourcing
Not claiming novelty — just exploring a compact rule that seems to behave well across several mismatches.
Anticipated Questions
Does this violate stress‑energy conservation?
No. The true stress‑energy tensor is unchanged. Only the effective coupling strength varies with classicality.
Does decoherence depend on environment?
Yes for microscopic systems. Macroscopic bodies decohere so fast that they remain fully classical and source full gravity.
Does this violate the equivalence principle?
Not for classical objects. Only coherent quantum systems would show suppressed gravitational mass — currently below experimental sensitivity.
Closing
This isn’t a replacement for GR or QM — just a compact sourcing rule that ties gravitational strength to classicality. It reproduces classical gravity where it should, suppresses it for coherent quantum states, and touches several astrophysical behaviors normally treated as unrelated.
Feedback, critiques, and “here’s where it breaks” are very welcome.
This may not be the right answer — but the math seems to work out, so it felt worth sharing.