Modern Physics Uses Too Much Math, Paper Says

In the paper's words

Simplicity of Reality: Deconstructing the Mathematical Epicycles of Modern Physics Abstract: This paper argues that the impenetrable mathematical abstraction of modern theoretical physics is not a necessary feature of reality, but a direct symptom of a flawed ontological foundation initiated by a fundamental methodological error. We perform a critical deconstruction of the standard axioms of quantum mechanics, tracing their origin to Max Planck’s “procedural shortcut” of applying a discrete counting method (combinatorics) to a continuous physical problem (black-body energy distribution)—a category error akin to modeling a Gaussian distribution with a Poisson. We demonstrate how this initial methodological flaw necessitated the invention of a cascade of mathematical epicycles (operator algebras, infinite-dimensional Hilbert spaces, wave function collapse postulates) to manage its problematic consequences.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

1. It was a mathematically sophisticated and remarkably predictive model for over 1400 years, accurately forecasting planetary positions in the night sky.

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2. This concept is further explored through the “Autaxic Trilemma” in “Theory of General Mechanics” (Section 16), which drives the universe toward states of Persistence, Efficiency, and Novelty.

   from Part II: Outlining a Research Program for a Unified Wave-Mechanical Framework: A Return to Physicality and Simplicity

How it is done

1. We perform a critical deconstruction of the standard axioms of quantum mechanics, tracing their origin to Max Planck’s “procedural shortcut” of applying a discrete counting method (combinatorics) to a continuous physical problem (black-body energy distribution)—a category error akin to modeling a Gaussian distribution with a Poisson.

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2. Legitimate Invalidation of the Classical, Rigid, Absolute, and Non-Relativistic Aether Model Acknowledging and reiterating that the seminal Michelson-Morley experiment, designed to detect “aether wind,” yielded a null result, and the subsequent advent of Special Relativity, correctly invalidated the specific model of a classical, rigid, absolute, and non-relativistic aether (one that implicitly defined a fixed frame of reference and consequently required an empirically detectable “aether wind”).

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3. (The classical aether assumed a rigid, absolute rest frame, which was definitively disproven by the Michelson-Morley experiment; the proposed CWM explicitly avoids this absolute frame, making its local properties inherently relativistic and thus observer-dependent, consistent with relativity principles).

   from Part II: Outlining a Research Program for a Unified Wave-Mechanical Framework: A Return to Physicality and Simplicity

4. This approach is inspired by phenomenological models like MacGregor’s $\alpha$-quantized mass system, which found empirical regularities in particle masses and lifetimes related to the fine-structure constant (MacGregor, 2007).

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What would falsify it

1. We extend this critique to General Relativity, positing its complex geometric formalism as another highly predictive but ontologically flawed epicycle built on the now-falsified axiom of local realism.

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2. GR’s Axiomatic Reliance on Empirically Falsified Local Realism Its axiomatic dependence on the principle of local realism—the classical notion that physical influences are bounded by the speed of light and properties exist independently of observation—is a foundational premise that has since been definitively and robustly disproven by decades of rigorous empirical evidence derived from Bell tests in quantum mechanics (Chapter 4.1).

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3. A Critical Discrepancy This observable discrepancy highlights a critical disjunction between extreme theoretical elegance/complexity and robust computational utility.

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Where the claim stops

1. The Unbridgeable Divide and the Crisis of Unity in Fundamental Physics This deep and seemingly irreconcilable intellectual fracture between the two foundational pillars of modern physics, each demonstrably successful within its own domain but fundamentally contradictory in its core philosophical assumptions (e.g., local vs. non-local, deterministic vs. probabilistic, continuous vs. discrete), particularly glaringly evident in the elusive and thus far unsuccessful quest for a unified theory of quantum gravity, renders a single, coherent, and universal description of the universe impossible under the current dualistic paradigm.

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2. The Premature Discard of the Underlying Physical Intuition of a Universal Wave-Sustaining Medium Arguing, however, that the fundamental physical intuition of a pervasive, ubiquitous, wave-sustaining medium for electromagnetic phenomena (and, by extension, for all fundamental fields and particles) was largely discarded wholesale alongside the flawed classical model, rather than being judiciously refined and re-conceptualized in a new theoretical framework.

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3. The Consequence: Stifled Scientific Progress and Perpetuated Complexity This historical episode vividly illustrates a recurrent pattern in science: how scientifically valid, simpler, or more intuitive alternatives—especially those that profoundly challenge prevailing philosophical assumptions (like the absolute nature of locality and non-determinism)—can be prematurely dismissed, stifling genuine scientific progress and unwittingly perpetuating unnecessary complexity and conceptual opacity in the mainstream theoretical frameworks.

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Where to read

1. The9,120 words · 40 min