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April 4, 20260 citationsOpen Access

Gravity as a Sub-Quantum Wave Phenomenon: Planck Density as the Quantization Floor and Planck Time as the Temporal Unit of Gravitational Quantization

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JLJustin Lomiglio

Key Points

  • The aim is to address the rounding errors in physics caused by using the second as a time unit near the Planck scale.
  • Analyzed the impact of dividing the second by Planck time on calculations at the fundamental scale.
  • Proposed redefining time as multiples of Planck time to resolve infinities.
  • Examined the relationship between quantized spacetime and atomic oscillation.
  • Identified that dividing the second by Planck time does not yield clean integers.
  • Concluded that rounding errors cause infinities, which can be eliminated by redefining time.
  • Demonstrated that physical processes inherently oscillate in Planck time multiples.

Abstract

The second, divided by Planck time, does not produce a clean integer. Every equation in physics that uses the second as its time unit introduces a rounding error at the Planck scale. As calculations approach that scale, the remainder compounds and diverges to infinity. Planck time is the integer. The second is not. The infinities in physics are not physical. They are artifacts of dividing by a time unit that does not cleanly resolve at the fundamental scale. The fix: redefine the base unit of time as a direct multiple of Planck time. Any atom already oscillates in Planck time multiples because all physical processes exist in quantized spacetime. We do not need new hardware or new atoms. We need a unit redefinition. Once time is expressed in Planck time integers, there is no remainder to blow up. The infinities have nowhere to come from. Note: This paper was originally written to propose a two-axis quantization framework for gravity. During development, a deeper insight emerged: the infinities in physics are artifacts of using the second, a non-fundamental unit, in equations that operate at the Planck scale. The second divided by Planck time does not produce a clean integer, and this remainder is what diverges to infinity. The paper has not yet been restructured around this insight, but it is the foundation everything else rests on. If you read the paper through this filter, the two-axis framework and all of its implications will be clear.

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Cite This Study

Justin Lomiglio (2026) studied this question.

synapsesocial.com/papers/69d0aee0659487ece0fa4caahttps://doi.org/10.5281/zenodo.19386695
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