Soumendra Nath Thakur added a reply:
Mr. Wolfgang Konle and Mr. Christian G. Wolf raise important points, and it's essential to provide a scientific analysis of the concepts involved in this discussion.
The debate about discreteness vs. continuity in the physical world often depends on the scale and context of observation. While certain scales, such as the Planck scale, might involve unique considerations, fundamental quantities like Planck mass and Planck length are still considered continuous.
My argument, based on the standardization of the SI unit of time and established scientific principles, aligns with the current scientific understanding of space and time as continuous dimensions. Therefore, both Mr. Konle and Mr. Wolf's statements, in their respective contexts, have some scientific validity, but my argument is also scientifically valid and consistent with established scientific principles.
Planck units are a set of units of measurement defined exclusively in terms of four universal physical constants, in such a manner that these physical constants take on the numerical value of 1 when expressed in terms of these units. These units are a system of natural units because their definition is based on properties of nature, more specifically the properties of free space, rather than a choice of prototype object. At the Planck scale, the predictions of the Standard Model, quantum field theory and general relativity are not expected to apply, and quantum effects of gravity are expected to dominate.
Discreteness vs. Continuity:
Discreteness refers to phenomena that are quantized, with distinct, separate values. In contrast, continuity implies that a phenomenon has an unbroken range of values.
At the Planck scale, the smallest possible scales defined by Planck units, the term "Planck scale" refers to quantities of space, time, energy, and other units that are similar in magnitude to corresponding Planck units. In this region, quantum effects of gravity are expected to dominate. However, Planck mass and Planck length, which are fundamental to these units, are considered continuous in nature, and there is no reference in Planck scale physics to space and time as discrete.
Space and Time:
According to our current scientific understanding, space and time are considered continuous. The concept of continuous space and time is fundamental to our descriptions of the physical world.
