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I've been drafting a paper for my own interest, titled by name of this thread. I plan to include diagrams, imagery and references next. In the meantime, I'd love any feedback or critique. I'll paste what I have so far below:

Abstract​

This paper explores the limitations of the Gregorian calendar and proposes the Veridian Calendar as a potential reform. The Gregorian calendar, while a significant advancement over its predecessor, exhibits discrepancies with lunar cycles and natural seasons. Additionally, its imposition across diverse cultures creates historical and cultural dissonance. The Veridian Calendar addresses these issues by:
  • Employing a 13-month structure commencing with the vernal equinox, fostering a more intuitive alignment with lunar phases and simplifying date calculations.
  • Drawing upon historical and astronomical data, including the inclusion of Ophiuchus as the thirteenth zodiac sign, for a more accurate celestial reflection.
  • Utilising a refined leap year formula based on Milutin Milankovitch's work, ensuring long-term synchronisation with the Earth's orbital period.
The Veridian Calendar's design integrates insights from various calendrical systems, including the Ethiopian, Julian, Jewish, and Coptic calendars, promoting cultural resonance and historical continuity. It fosters a deeper societal connection to the rhythms of nature and the cosmos, potentially leading to a transformative impact on global society and our understanding of time.

Keywords: Calendar reform, Veridian Calendar, Gregorian calendar, natural cycles, celestial alignment, Milankovitch cycles, cultural resonance.

Historical Context of Calendar Reform and Papal Authority​

Throughout relatively recent history, calendar reform has been intertwined with the exercise of papal authority. Papal bulls, pronouncements by the Pope, have profoundly influenced both the temporal and spatial organisation of human society. This is exemplified by the bull "Unam Sanctam" (1302) issued by Boniface VIII. It boldly asserted the Pope's supreme spiritual and, by extension, material authority, encompassing even secular realms. This sweeping claim laid the groundwork for further papal interventions with far-reaching consequences.

One such consequence materialised in "Inter Caetera" (1493). This bull authorised Spain and Portugal to expand their dominions and convert non-Christian populations in newly discovered lands, effectively sanctioning colonisation and enslavement. Here, a papal decree became a tool of imperial ambition disguised as religious duty.

Within this historical context, "Inter gravissimas" (1582), issued by Gregory XIII, represents a significant yet often overlooked extension of papal authority – over time itself. This bull instituted the Gregorian calendar, ostensibly correcting inaccuracies in the Julian calendar regarding the solar year. However, it can also be interpreted as an assertion of control over how societies globally experience, organise, and measure time, essentially shaping the fabric of daily life.

The establishment of the Gregorian calendar, while seemingly a technical correction, carried the weight of papal claims to universal authority. It resonated through the ages, impacting societal structures, cultural practices, and even the global understanding of history and time. This historical context, rooted in expansive papal decrees, sets the stage for a critical re-evaluation of the Gregorian calendar's legacy. It compels us to consider the possibility of a calendrical system that transcends the historical constraints of ecclesiastical dominion, aligning more closely with natural and celestial rhythms.

The Veridian Calendar proposal emerges from this complex legacy. It acknowledges the power inherent in timekeeping methods and their potential to foster a more harmonious relationship with the cosmos and nature.

Introduction​

The prevailing paradigm for timekeeping, the Gregorian calendar, while a significant advancement over its predecessor (the Julian calendar) in terms of solar cycle alignment, exhibits several limitations. The Gregorian system suffers from a mismatch with lunar cycles and natural seasons. Additionally, its imposition across diverse cultures creates historical and cultural dissonance. Furthermore, technical shortcomings exist within its leap year formula. These discrepancies highlight the fundamental disconnect between our constructed system of time measurement and the underlying celestial and natural rhythms it attempts to represent.

To address these limitations, the Veridian Calendar is proposed. This novel system prioritises natural cycles by initiating the calendar year at the vernal equinox. Employing a structure of 13 months with a uniform duration of 28 days, the Veridian Calendar fosters a more intuitive and accurate alignment with lunar phases while simplifying date calculations.

Theoretical Foundations of the Veridian Calendar​

Named after the Latin word "viridis" meaning green, signifying renewal, this calendar system integrates historical and astronomical data to achieve a timekeeping framework that resonates with both natural and cosmic cycles. It employs a 13-month structure, aiming to synchronise the calendar year with lunar phases and establish consistent month durations, thereby increasing the intuitiveness and efficacy of timekeeping.

Commencing with the vernal equinox in the Northern Hemisphere, the Veridian Calendar holds particular relevance for the majority population residing there, aligning with age-old traditions that regard the spring equinox as a period of rejuvenation. Additionally, this alignment coincides with significant historical and broader astronomical events. As further analysis will reveal, this initiation point synchronises timekeeping not only with seasonal cycles but also with more extensive cosmic cycles, reinforcing the calendar's objective of fostering a deeper societal connection to the rhythms of nature, history, and the cosmos.

Historical and Astronomical Rationale​

Historically, many cultures employed lunisolar calendars that mirrored the moon's phases more precisely throughout the year, consisting of roughly 13 cycles of 28 days each. This inherent periodicity offers a compelling foundation for contemporary calendar reform, serving as the structural basis for the Veridian Calendar. The very etymology of "month" is inextricably linked to lunar cycles.

Originating from the Old English "monaþ" and ultimately the Proto-Germanic "*mēnōths," which closely aligns with the Proto-Indo-European "*meh₁n̥s" meaning "moon, month," it directly references timekeeping practices aligned with lunar phases. This linguistic heritage underscores the inherent connection between our measurement of months and the lunar cycle – a relationship often neglected by modern calendars like the Gregorian. The Veridian Calendar's structure of 13 months not only aligns with this natural periodicity but also mitigates the inconsistency of month lengths in the Gregorian calendar, which range from 28 to 31 days without clear astronomical justification.

The initiation of the calendar year at the vernal equinox, when day and night are roughly equal in duration, anchors the Veridian Calendar to a significant celestial event marking the arrival of spring in the Northern Hemisphere. This alignment ensures the calendar's commencement is marked by a universally observable astronomical phenomenon, grounding the passage of time in the Earth's solar orbit and the changing seasons. Commencing the year with the vernal equinox not only strengthens the calendar's connection to natural cycles but also restores a historical linkage to timekeeping practices that have traditionally celebrated this moment of regeneration.

Cultural Resonance and Historical Continuity​

In its design and conceptualisation, the Veridian Calendar seeks to rectify the limitations of the Gregorian system by harmonising timekeeping with natural cycles and celestial phenomena. It employs a 13-month structure commencing with the vernal equinox, echoing the layout of the Ethiopian calendar and aligning with the original March starting point of the ancient Roman (Julian) calendar. This approach also honours Julius Caesar's proposed month sequence, ensuring that September through December retain their positions as the seventh, eighth, ninth, and tenth months, respectively. This respect for historical precedent preserves the etymological roots and intentions behind the Julian calendar's original design.

Furthermore, the Veridian Calendar integrates insights from other significant calendrical systems. The Jewish lunisolar mechanism, synchronising lunar months with the solar year through a 19-year intercalary month, and the Coptic structure derived from the ancient Egyptian system with its 12 30-day months and a concluding short month, contribute to the Veridian Calendar's multifaceted framework. These systems, deeply embedded in agricultural practices, religious observances, and celestial phenomena, enhance the Veridian Calendar's capacity to reconnect daily life with the rhythms of the natural and celestial realms.

By drawing upon these diverse traditions and acknowledging the historical month sequencing established by Julius Caesar, the Veridian Calendar strives not only to correct the Gregorian calendar's misalignments but also to preserve and celebrate the rich cultural heritage of global timekeeping. This initiative invites a thoughtful reassessment of our relationship with time, emphasising a closer alignment with the celestial and natural events that shape our world, and fostering a deeper understanding of humanity's place within the cosmos.

Celestial Alignment and the Zodiac​

In its design, the Veridian Calendar eschews a strict one-to-one correspondence between months and constellations, instead adopting a more nuanced approach. This acknowledges the complexities of the Earth's solar orbit and its influence on our perception of the celestial sphere. Notably, the inclusion of Ophiuchus as the thirteenth sign rectifies a common oversight in many contemporary astrological systems. This ensures the calendar more faithfully reflects the actual celestial arrangement throughout the year.

The Earth's annual solar orbit dictates a predictable shift in visible constellations. This celestial progression serves as the foundation for the Veridian Calendar's structure, mirroring the sequence of constellations aligning with Earth and the Sun. Commencing with Aries in spring and culminating with Pisces at the Veridian year's end, this arrangement aligns the calendar with astronomical observations of constellation positions relative to Earth and the Sun throughout the year.

This alignment achieves not only an accurate reflection of contemporary astronomy but also imbues the Veridian Calendar with cultural and spiritual significance. By aligning Veridian months more closely with constellations observable during Earth's solar orbit, the calendar fosters a deeper engagement with the celestial dynamics that have guided human timekeeping for millennia. This thoughtful consideration underscores the calendar's role in celebrating humanity's place within the cosmos, marking the Veridian Calendar as a sophisticated system that honours the intricate relationship between Earth, the cosmos, and the passage of time.

Leap Year Calculation and Technical Refinements​

The Veridian Calendar incorporates a refined leap year formula based on Milutin Milankovitch's revision of the Julian Calendar. This approach prioritises long-term synchronisation with the Earth's heliocentric orbital period. These technical refinements, particularly the leap year calculation, significantly impact the calendar's ability to maintain celestial alignment over extended timescales. By adopting Milankovitch's recommendations, the Veridian Calendar demonstrably reduces "drift" from natural seasons and key astronomical events. This enhanced precision ensures continued alignment of culturally and agriculturally significant dates with their corresponding celestial phenomena, guaranteeing the calendar's relevance and utility for future generations.

A critical aspect of the Veridian Calendar's leap year adjustment involves precisely determining the vernal equinox based on Milankovitch calculations. This ensures each new year commences in exact alignment with the astronomical event marking spring onset in the Northern Hemisphere. By anchoring the calendar year to the vernal equinox, the Veridian Calendar exhibits a superior fidelity to natural cycles compared to its predecessors. Through closer adherence to the true solar year and accounting for variations in Earth's rotation and orbit, the Veridian Calendar maintains consistency in the dates of key astronomical events like equinoxes and solstices over millennia. This stability strengthens the calendar's reliability for applications in agriculture, cultural practices, and scientific endeavours, highlighting the importance of precision within our temporal framework.

Impact on Society and Culture​

The Veridian Calendar proposes a transformative impact on global society and our understanding of time. By initiating the week on Sunday ("Sun's day"), it aligns with historical and etymological roots, signifying creation and light. This is followed by "Moon's day" (Monday), reflecting the celestial body governing the night, culminating in "Sabbath day" (Saturday) – a period of rest concluding the week. This "Sunday to Saturday" progression not only embodies a deep-rooted cultural rhythm but also ensures a perpetual alignment of dates with specific weekdays within the Veridian system. This simplifies planning and reinforces a consistent weekly cycle.

Furthermore, significant astronomical events, like the winter solstice on December 28th, would invariably fall on a Saturday – the final day of the 10th month. This aligns with historical observances celebrating the sun's return and rebirth, imbuing the time with renewed reverence, echoing the spirit of Christmas. Such alignment ensures perpetual synchronisation between the rhythm of life, cultural celebrations, and societal observances with these pivotal moments in Earth's celestial journey.

By establishing a consistent sequence of days with Sunday as the first, the Veridian Calendar fosters a stable temporal framework. This encourages societies worldwide to re-orient public observances and celebrations around natural cycles and celestial phenomena. This not only fosters a deeper connection to the natural world but also heralds a cultural renaissance in our perception and interaction with time. The Veridian calendar proposes a future where timekeeping isn't just a measurement, but a celebration of our inherent link to the cosmos – a path to a more profound connection with both Earth and the vast universe.

Conclusion​

The Veridian Calendar emerges as a significant reform proposal addressing the Gregorian calendar's limitations. It presents a future-oriented vision that realigns temporal measurement with natural and celestial cycles. This calendar offers a comprehensive solution to the Gregorian system's shortcomings through several key innovations.

Firstly, the Veridian Calendar employs a 13-month structure commencing at the vernal equinox. This structure integrates the entirety of the zodiac, including Ophiuchus, resulting in a more accurate celestial correspondence compared to the Gregorian system.

Secondly, the Veridian Calendar incorporates technical refinements, particularly in its leap year calculation. Inspired by Milankovitch's celestial mechanics research, this approach promises greater long-term accuracy in synchronising the calendar with the Earth's orbital period (mean tropical year). This enhanced precision strengthens the calendar's long-term sustainability and relevance for astronomical and scientific applications.
 
I’ve also added a new section just before the paper conclusion as follows:

Naming the Thirteenth Month and Intercalary Days

The Veridian Calendar seeks to rectify two crucial structural omissions: the designation of the thirteenth month and the nomenclature for the intercalary days. A critical objective also lies in establishing a closer parity between the northern and southern hemispheres' celestial observations and long-standing cultural traditions in its otherwise northern-centric origins.

The thirteenth month is proposed to be named "Danu," drawing upon Celtic and Hindu mythological traditions. Danu, a primordial water deity, embodies concepts of renewal and life-giving properties, thematically resonating with Pisces, the water sign concluding the zodiacal cycle. This alignment reinforces the completion of the natural cycle, and Danu, as a cross-cultural water deity, signifies universal themes of renewal and cosmic continuity.

To account for the intercalary days – necessary to reconcile the calendar year with the Earth's actual revolution around the Sun (tropical year), which is roughly 365.2422 days – the names Te Punga and Mookari are proposed. Te Punga, signifying "the anchor" in Māori, is named after the Southern Cross constellation (known as Te Punga in Māori navigational traditions). It symbolises stability and celestial guidance, acknowledging the southern hemisphere's celestial contributions. Mookari, derived from First Nations Australian languages, translates to "healing" and embodies a period of contemplation, reconciliation, and preparation for the cycle's renewal. These names acknowledge the long-standing cultural roots and perspectives of southern hemisphere cultures.

The inclusion of the intercalary day, Mookari, follows a similar pattern to the leap year system employed in the Gregorian calendar. It is introduced approximately every four years, but the exact timing depends on astronomical calculations to ensure alignment with the arrival of the vernal equinox and maintain synchronicity with the tropical year. In the Veridian calendar, this translates to the 29th and 30th days of Danu. Unlike the Gregorian calendar's fixed February 29th, the Veridian system ensures the tropical year's length is accurately reflected.

The selection of Danu, Te Punga, and Mookari weaves a narrative that intertwines astronomical precision with profound cultural resonance. Danu aligning with Pisces highlights the role of water in transitions. Te Punga and Mookari bridge cultural and celestial wisdom from the southern hemisphere, grounding the calendar in principles of guidance, healing, and preparation. This integration strengthens the Veridian Calendar's mission: a timekeeping system that reflects celestial cycles and honours our shared connection to the cosmos, while demonstrably respecting the southern hemisphere's celestial observations and long-standing cultural traditions.
 
Starting the year with the Vernal Equinox seems alright for me, but I am wondering if changing the days order is a good idea, unless it would be in synchronicity with the Gregorian calendar where the Vernal Equinox would be on a Sunday, as you suggest it to start the week...
 
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