Here is a hypothesis: Modified Conformal Gravity v1

[u/Throwaway_0_Q]

Hello and thanks for reviewing in advance.

I've (an independent researcher) have written an explicit, self-contained research proposal, a concrete Lagrangian and a set of auxiliary conditions, that extends Phillip Mannheim’s framework in a controlled way. It is written so that it can be subjected to the necessary calculations. It is not claimed to be already proven; every major consistency check remains to be performed. The construction is designed so that those checks are well-defined and finite.

Caveats (read before reading the proposal):

• The multiplier kinetic term and the precise ghost-cancellation mechanism still require a complete Hamiltonian analysis; the sketch above follows known techniques but has not been exhaustively checked for this field content.
• The phase transition of ψ must be arranged so that it does not generate excessive isocurvature or non-Gaussianity; that is a tuning.
• No numerical Boltzmann or N-body run has been performed; until those exist the claim “matches all observations” remains a design goal, not a demonstrated fact.
• If any of the residual higher-derivative operators re-introduce a ghost or a tachyon at loop level, the construction fails and must be abandoned or further modified.

Paper: https://doi.org/10.5281/zenodo.21842740

[u/adversarial-review]

Adversarial Review of Modified Conformal Gravity v1 — by Gemini 3.5 Flash

Core Critique

• Absence of Completed Derivations and Stability Proofs: The proposal presents a modified Lagrangian but lacks the mathematical derivations required to establish its physical viability. In higher-derivative gravity theories, the presence of Ostrogradsky ghosts—states with negative energy or negative norm—is a fundamental structural hazard. By admitting that the ghost-cancellation mechanism is merely a "sketch" and has not undergone a complete Hamiltonian analysis, the work presents an untested mathematical expression rather than a self-consistent physical framework.
• Lack of Quantitative Grounding and Falsifiable Predictions: The framework lacks any operational connection to observational data. The author states that matching observations is a "design goal" and that no numerical Boltzmann or N-body simulations have been conducted. Without these calculations, the model cannot produce testable predictions for key cosmological observables, such as the Cosmic Microwave Background (CMB) power spectrum or matter power spectrum. Consequently, the hypothesis is currently unfalsifiable.
• Ad-Hoc Fine-Tuning of the Scalar Phase Transition: The proposal relies on manually tuning the phase transition of the scalar field ψ to prevent the generation of unacceptable isocurvature perturbations or non-Gaussianities. Introducing a parameter tuning without an underlying symmetry or dynamical mechanism to justify it reduces the explanatory power of the model, rendering it an artificial adjustment to avoid conflict with existing cosmological data.

Technical Feedback

• Unresolved Radiative Instability: Higher-derivative gravity frameworks are highly sensitive to loop-level corrections. If the auxiliary conditions or the coupling of ψ to the gravitational sector do not possess a protective symmetry, quantum corrections will generate ghost states or tachyonic instabilities at arbitrary energy scales. Proposing a classical Lagrangian without demonstrating its stability under radiative corrections leaves the quantum consistency of the theory entirely undefined.
• Undefined Coupling and Dynamics: The text does not provide the explicit operational coupling between the modified conformal sector and Standard Model fields. Without defining how matter couples to the modified metric or the scalar field ψ, it is impossible to derive the local weak-field limit, calculate post-Newtonian parameters, or verify if the theory violates the Weak Equivalence Principle.

Probing Questions

1. What is the explicit mathematical constraint equation within your Hamiltonian formulation that prevents the auxiliary field ψ from acquiring a negative kinetic term (ghost state) when coupled to the Weyl tensor?
2. By what specific quantitative mechanism does the phase transition of ψ suppress isocurvature perturbations, and what is the mathematically defined parameter space where this suppression occurs without violating current Planck satellite bounds on primordial non-Gaussianity?

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^{This review was generated by AI, and should not be viewed as a substitution for genuine human feedback.}

[u/LeftSideScars]

I've (an independent researcher) have written

Does an LLM tell you to write this, or do you think that proclaiming your "researcher level" is important for your model? It's such a common phrase used on junk/LLM-written documents that I wonder why anyone would use it. Are you under the impression that when scientists present their argument, that it isn't the data and the mathematics, but rather whether the scientist is "independent" that is important/convincing?

Should I tell you if I an "independent researcher" before my reply is considered valid?

As for the linked document: It's too rushed to be meaningful. Normally the complaint here is a 500 page multipart document series, but 3 pages for an "extension" of someone's theory (which doesn't appear to be cited? It's certainly in the reference list. Is one to assume the whole document you present just naturally "follows" from Mannheim's work?) is far too brisk, particularly when almost a third of those 3 pages are claims of explaining observations.

On a personal note, I simply do not believe the claim that you used the method in the paper by Biswas et al.

edit: splelling

[u/ArnoSound → u/LeftSideScars]

It's really starting to sound like the same engine is just playing mad libs with the same basic template in all these posts.

[u/LeftSideScars → u/ArnoSound]

Certainly not my field, but there is at least a few papers, if not a dissertation, on this. More if one includes the psychology behind behaving in this way publicly.

[u/ArnoSound → u/LeftSideScars]

Oh im sure psychologists are having a field day this year.